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To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
These InterfaceOptions for customising TiddlyWiki are saved in your browser

Your username for signing your edits. Write it as a WikiWord (eg JoeBloggs)

<<option txtUserName>>
<<option chkSaveBackups>> SaveBackups
<<option chkAutoSave>> AutoSave
<<option chkRegExpSearch>> RegExpSearch
<<option chkCaseSensitiveSearch>> CaseSensitiveSearch
<<option chkAnimate>> EnableAnimations

----
Also see AdvancedOptions
<<importTiddlers>>

<html>
<hr>
<b><br> 
I AM NOT OFFERING PROJECTS DURING MAY-JUL 2009. <br>
KINDLY AVOID SENDING EMAILS REGARDING THIS MATTER.<br>
THANKS and BEST WISHES!
</b>
<hr>
</html>
Hi!

If you are interested in working with me, in the field of Signal processing with applications to Wireless Communication, microphone arrays, filter structures, time-frequency representations, statistical signal analysis etc, please do send me an email listing your interests and the research degree you intend to pursue (M.Sc(Engg) or PhD). 

If you are appearing for the research interviews at the Department of ECE during 8-12 June 09, please do visit our department website to know about our interview procedures.

Welcome to ECE!
Wishing you all the best.

Hari
B.E(ECE), [[Osmania University | http://osmania.ac.in]], Hyderabad, (1979-83)
M.Tech (Radar and Communication Engineering), [[Department of EE | http://www.iitd.ac.in/deptt/ee/]], [[IIT Delhi | http://www.iitd.ac.in]], (1983-85)
PhD(Systems Science), [[University of California San Diego | http://www.ucsd.edu]] (1987-90)
Visiting Prof, [[Signal Processing Laboratory. Helsinki Univ of Technology | http://wooster.hut.fi]] (May - Jul 2002)
 
Visiting Assoc Prof, [[Department of EE, Stanford Univ | http://www-ee.stanford.edu/]] (Sep99 - Dec 00) <html><a href="stanford_ElectrEng_faculty_2000-01_hari.pdf">pdf file</a></html>

Guest Researcher, [[Department of Signals, Sensors and Systems, Royal Institute of Technology | http://s3.kth.se]], Stockholm (Jul - Sep95)

Scientist, Research and Training Unit for Navigational Electronics, Osmania Univ (Dec90 - Jan92) 
SR No	A1	A2   
(last 4
digits)
-------------------
7084	10	7
		
		
7243	9	6
6881	9	7
		
6058	10	4
		
6989	10	10
6865	9	7
6563	10	7
6901	9	6
5855	10	0
7033	10	7
6899	7	6
6912	9	10
7014	9	6
6904	9	7
6900	7	6
6954	10	6
6556	10	0
6897	10	4
6549	6	7
6782	10	4
7140	10	7
6808	10	6
5865	8	7
6764	8	5
7131	8	7
7142	10	8
6438	10	4
5991	9	7
6659	8	7
6018	10	7
6736	10	4
6703	10	4
6597	10	7
7094	10	5
7032	7	7
7034	9	7
		
6932	4	4
7030	10	7
6646	10	4
		
6907	9	10
6906	9	0
6775	7	6
		
6051	10	7
6054	10	7
5814	10	7
6568	8	7

Joby Joseph and K. V. S. Hari,'Direction Estimation of Broadband sources for Auditory Localization and Spatially Selective Listening,'Advances in Direction-of-Arrival Estimation (Artech House Radar Library), S. Chandran, editor, Artech House , December 2005. 

K. V. S. Hari and V. G. S. Prasad, 'Space-Time and Space-Frequency Block Coded Interleaved OFDM System,' Adaptive Antenna Arrays, S. Chandran, Editor, Springer Verlag, Berlin, June 2004. 

Bhaskar D. Rao and K.V.S.Hari,`Spatial Smoothing and MUSIC: Further Results,' SVD and Signal Processing , II Algorithms, Analysis and Applications, R. J. Vaccaro, Editor, Elsevier Science Publishers, B.V., Amsterdam, 1991. 
The collaboration distance between two researchers can be obtained by tracing the 'link' between the co-authors of papers published by two researchers. The most popular collaborative distance is the Erdos number.

[[Erdos Number]]
<html>
<hr> 
<a href="http://scholar.google.co.in/scholar?q=k+v+s+hari&hl=en&lr=">List of Publications </a> in decreasing order of Citations, based on Scholar.google.com

<hr>
Web of Science® Citation Report <br>
Author=(HARI KVS)
Timespan=All Years. Databases=SCI-EXPANDED.<br>
This report reflects citations to source items indexed within Web of Science.
<br>Results found:
37<br>
Sum of the Times Cited :
386<br>
<br>Average Citations per Item :
10.43<br>
h-index  :
7
<hr>
<img src="hari_publications.jpg">
<img src="hari_publications_citations.jpg">

<hr>
<hr>
 <!-- <A href="hari_citations_top10_2008.pdf"> Citation Report </a> of  10 publications in order of citation importance (with information from <A href="http://www.isiknowledge.com">ISI Web of Knowledge) </a> 
>
<hr>

</html>
FUN and VICARIOUS Stuff!

[[COLLABORATION DISTANCES]]: The collaboration distance between two researchers can be obtained by tracing the 'link' between the co-authors of papers published by two researchers. The well-known collaboration distance is the [[Erdos Number]].

http://www.ams.org/mathscinet/collaborationDistance.html is a tool which can be used to find the collaboration distances. This tool gives an upper bound on the distance. It is possible the researchers are 'closer' than the number given by this tool.

<html>
<center> Collaboration Distance <br>(The number indicates the Collaboration distance between the Researchers in each row and column.)
<table>
<tr>
<td> Researcher</td>
<td> Srinivasa Ramanujan</td>
<td> C V Raman </td>
<td> Albert Einstein </td>
<td> Paul Erdos </td>
<td> C. E. Shannon </td>
<td> C. R. Rao</td>
<td> T. Kailath </td>
</tr>
<tr>
<td>K V S Hari</td>
<td>9</td>
<td>8</td>
<td>7</td>
<td>7</td>
<td>8</td>
<td>7</td>
<td>6</td>
</tr>
</table>
<br>

Example
<br>
Collaboration Distance = 7 between K V S Hari and ALbert Einstein is based on:
<br>
K. V. S. Hari  coauthored with  Bhaskar D. Rao  <br>
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado<br>    
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain    <br>
Anil K. Jain  coauthored with  Robert E. Kalaba    <br>
Robert E. Kalaba  coauthored with  Richard Ernest Bellman<br>   
Richard Ernest Bellman  coauthored with  Ernst Gabor Straus  <br>  
Ernst Gabor Straus  coauthored with  Albert Einstein    <br>



</center>
</html>
Collaboration Distance = 8 K. V. S. Hari  coauthored with  Bhaskar D. Rao  MR1083546  
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  MR1729739 (2000i:94022)  
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain  MR1160265 (92m:70012)  
Anil K. Jain  coauthored with  Robert E. Kalaba  MR0323122 (48 #1480)  
Robert E. Kalaba  coauthored with  Richard Ernest Bellman  MR0083406 (18,705d)  
Richard Ernest Bellman  coauthored with  Theodore E. Harris  MR0027466 (10,311c)  
Theodore E. Harris  coauthored with  Solomon W. Golomb  MR1426110  
Solomon W. Golomb  coauthored with  Andrew J. Viterbi  MR1871259  
Collaborative Distance: 8
Collaboration Distance = 8 
1.K. V. S. Hari  coauthored with  Bhaskar D. Rao   
2 Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  
3 Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain   
4 Anil K. Jain  coauthored with  Robert E. Kalaba    
5 Robert E. Kalaba  coauthored with  Richard Ernest Bellman   
6 Richard Ernest Bellman  coauthored with  Irving Glicksberg  
7 Irving Glicksberg  coauthored with  Karel de Leeuw    
8 Karel de Leeuw  coauthored with  Claude Elwood Shannon  
Collaboration Distance = 6 
1. K. V. S. Hari  coauthored with  Bhaskar D. Rao   
2. Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado   
3. Kenneth Kreutz-Delgado  coauthored with  John Ting-Yung Wen   
4. John Ting-Yung Wen  coauthored with  Tamer Başar  
5. Tamer Başar  coauthored with  H. Vincent Poor   
6. H. Vincent Poor  coauthored with  Thomas Kailath  
Collaborative Distance: 7 
1.K. V. S. Hari  coauthored with  Bhaskar D. Rao  
2.Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado 
3.Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain 
4.Anil K. Jain  coauthored with  Joachim M. Buhmann
5.Joachim M. Buhmann  coauthored with  Eliahu Shamir  
6.Eliahu Shamir  coauthored with  Béla Bollobás  
7.Béla Bollobás  coauthored with  Paul Erdős 
Satya Sudhakar Yedlapalli and K. V. S. Hari, The Canonic Linear-Phase FIR lattice Filter Structures, Proceedings of National Conference on Communications (NCC-2010), Jan 2010.

Muralidhar, Karthik Li, Kwok H. K V S Hari , " Iterative Kalman-AR Method for Doppler Spread Estimation in Flat Fading Channels " IEEE Conference on personal, Indoor and Mobile Radio Communications, 2007(PIMRC 2007) 3-7 sept. 2007,page(s): 1-5. 

R. Deepak and K. V. S. Hari,' Harmonic mean of squared product distances: a new criterion to design codes for indepent fading channels,' Proceedings of 2004 International Conference on Signal Processing and Communications (SPCOM 2004),} Bangalore, Dec 2004. 

A. Vijaya Krishna and K. V. S. Hari,'Minimum redundancy for FIR equalization in MIMO multicarrier modulation,' Proceedings of 2004 International Conference on Signal Processing and Communications (SPCOM 2004),} Bangalore, Dec 2004. 

Avinash Achar and K. V. S. Hari,'Parametric Localization of Correlated Incoherently Distributed Sources Using ESPRIT,' Proceedings of IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM2004,Barcelona, July 2004. 

Vijayakrishna A. and K. V. S. Hari,'Filterbank precoding for MIMO frequency selective channels: Minimum redundancy and equalizer design,' Proceedings of IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM2004,Barcelona, July 2004. 

Vinod T.S and K. V. S. Hari,'Optimal Pilot tones for MIMO Interleaved OFDM systems,' to appear in Proceedings of ICASSP 2004, Montreal, May 2004. 

Karthik S. and K. V. S. Hari, 'Alternative Interleaving schemes for Interleaved Orthogonal Frequency Division Multiplexing,' Proceedings of TENCON 2003 - 2003 IEEE Region 10 Conference on Convergent Technologies for the Asia-Pacific, Bangalore, Oct 2003. ps file 

Joby Joseph and K. V. S. Hari, 'Adaptive estimation of parameters using partial information of desired outputs,' Proceedings of TENCON 2003 - 2003 IEEE Region 10 Conference on Convergent Technologies for the Asia-Pacific, Bangalore, Oct 2003. pdf file 

M. R. Bhavani Shankar and K. V. S. Hari, 'Bounds on MIMO capacity due to channel perturbations ,' in Proc of NCC 2003, Chennai, Jan 2003. 

V. G. S. Prasad and K. V. S. Hari, 'Interleaved Orthogonal Frequency Division Multiplexing (IOFDM)System with lesser complexity ' Proc of NCC 2003, Chennai, Jan 2003. pdf file 

M. R. Bhavani Shankar and K. V. S. Hari, 'On the Variations in Capacity of MIMO Communication Systems to Channel Perturbations ,' Proc of ICPWC 2002, New Delhi, Dec 2002. pdf file 

V. G. S. Prasad and K. V. S. Hari, 'Space-Time Block Coded Interleaved Orthogonal Frequency Division Multiplexing System ' Proc. of ICPWC 2002, New Delhi, Dec 2002. pdf file 

V. G. S. Prasad and K. V. S. Hari, 'Interleaved Orthogonal Frequency Division Multiplexing System ' Proc. of ICASSP 2002, Orlando, May 2002. pdf file 

Joby Joseph and K. V. S. Hari, 'An algorithm to estimate multipath delays of broadband sources with only two sensors', Tenth Annual IEEE Symposium on Multimedia Communications and Signal Processing, Bangalore, Nov 2001. pdf file 

D. S. Baum, R. Nabar, S. Panchanathan, K. V. S. Hari, V. Erceg, A. Paulraj, `Measurements and Characterization of Broadband MIMO Fixed Wireless Channels at 2.5 GHz,' Proc of IEEE Intl. Conf. on Personal Wireless Commn (ICPWC 2000), Hyderabad, India, Dec 2000. pdf file 

G. Cirrincione, G. Ganesan, K.V.S.Hari and S. Van Huffel, 'Direct and neural techniques for the data least squares problem' Proceedings of Mathematical Theory of Networks and Systems, Perpignan, France, June 19-23, 2000. ps file 

Anurag Kumar, K. V. S. Hari, R. Shobhanjali and Srikumar Sharma, `Long Range Dependence in the Aggregate Flow of TCP controlled Elastic sessions: An Investigation via the Processor Sharing Model,' Proceedings of the National Conference on Communications, Jan 2000. 

Shishir K. L., K. V. S. Hari and Risto Wichman, `Low complexity method to estimate Co-channel signals using an Antenna Array,' Proceedings of the IEEE International Conference on Personal Wireless Communications (ICPWC'99), Jaipur, Feb 1999. pdf file 

Shishir K. L. and K. V. S. Hari, `Detection of the number of Constant Modulus sources arriving at an antenna array,' Proceedings of the IEEE International Symposium on Wireless Communications for the Next Millennium, New Delhi, Sept 1998. 

Raghuraman M. and K. V. S. Hari, `Estimation of nominal AOA and angular spread for spatially distributed sources in Ricean fading channels,' Proceedings of the IEEE International Symposium on Wireless Communications for the Next Millennium, New Delhi, Sept 1998. 

K. V. S. Hari and Bjorn Ottersten, `Parameter Estimation using a Sensor Array in a Ricean Fading channel,' Proceedings of SPCOM'97, Bangalore, July 1997. 

Y. Lavanis and K. V. S. Hari, `A Kernel for Wigner Distribution using Wigner Synthesis Techniques,' Proceedings of the Workshop on Underwater Systems and Engineering, Visakhapatnam, August 1994. 

L. Srinivas and K. V. S. Hari, FIR System Identification using Higher Order Cumulants,' Proceedings of the National Symposium of Systems, pp. 201-205, Madras, October 1993. 

K. V. S. Hari and Uma Gummadavelli, `On the Performance of Subspace methods in the presence of Array Model Errors and Spatial Smoothing,' Proceedings of ICASSP, Minnesota, April 1993. pdf file 

Bhaskar D. Rao and K.V.S.Hari, `Weighted State Space Methods/ESPRIT and Spatial Smoothing' Proceedings of ICASSP , Toronto, Canada, April 1991. 

Bhaskar D. Rao and K.V.S.Hari,`On Spatial Smoothing and Weighted Subspace Methods' Proceedings of 24th Asilomar Conference on Signals, Systems and Computers , Monterey, November 1990. 

Bhaskar D. Rao and K.V.S.Hari,`Effect of Spatial Smoothing on State Space Methods/ESPRIT,' Proceedings of 5th ASSP Workshop on Spectrum Estimation and Modelling , October 1990. 

Bhaskar D. Rao and K.V.S.Hari,`Effect of Spatial Smoothing on the Performance of Noise Subspace Methods,' Proceedings of ICASSP, Albuquerque, New Mexico, April 1990. 

Bhaskar D. Rao and K.V.S.Hari,`MUSIC and Spatial Smoothing : A Statistical Performance Analysis,' Proceedings of 23rd Asilomar Conference on Signals, Systems and Computers , Monterey, November 1989. 

Bhaskar D. Rao and K.V.S.Hari,`Statistical Performance Analysis of the Minimum-Norm method,' Proceedings of ICASSP , Glasgow, Scotland, May 1989. 

Bhaskar D. Rao and K.V.S.Hari,`Performance Analysis of Root-Music,' Proceedings of 22nd Asilomar Conference on Signals, Systems and Computers , Monterey, November 1988. 

Bhaskar D. Rao and K.V.S.Hari,`Performance Analysis of Subspace based methods,' Proceedings of 4th ASSP Workshop on Spectrum Estimation and Modelling , Minnesota, August 1988. 
Department of ECE, Indian Institute of Science, Bangalore 560012, India
Ph: +91 80 23602167, 22932745, Fax: +91 80 23600563
email: hari[at]ece[dot]iisc[dot]ernet[dot]in
<html>
<h2>Jan-Apr 2010<br>
E9-211 Adaptive Filters (3:0) </h2>
<B>Days: TUE, THU <br>Time: 08:30 - 10:00 hrs <br> Venue: ECE 1.07 </B>
<b>REFERENCE TEXT: </B>
<em><b>Adaptive Filters </b> by Ali Sayed, IEEE Press, 2008. </em>


<h1>Please submit your assignments via email in pdf format with subject including the keywords:"E9-211 Assignment-1"</h1> 
</html>
[[INDIA-UK ADVANCED TECHNOLOGY CENTRE FOR NEXT GENERATION COMMUNICATION SYSTEMS (IUATC)]]
SSP LAB will be carrying out ACTIVITIES related to INDIA-UK ADVANCED TECHNOLOGY CENTRE FOR NEXT GENERATION COMMUNICATION SYSTEMS (IUATC)
http://www.iu-atc.com/
Project duration: Phase - I: 30 months starting 1 Jun 2009;              
The research activity will focus on developing ADVANCED AIR INTERFACE TECHNIQUES FOR the NEXT GENERATION WIRELESS COMMUNICATION SYSTEMS Using MIMO-OFDM, Co-operative communcation, beamforming etc.
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SIGNAL PROCESSING FOR WIRELESS SENSOR NETWORKS
Activity will focus on developing novel signal processing algorithms for Wireless Sensor Networks
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<html>
<b> PhD</b>

<li> Amit Kumar Dutta joined in 2009 as a Direct PhD student (direct after BE)

<li> Dileep Dinesh Gaurav joined in 2009 as a Direct PhD student (direct after BE)

<li> Renu Jose joined in 2009 under the QIP programme from Govt. Engg College, Idukki, Kerala. http://www.gecidukki.ac.in/faculty/renu,html
<br><br>
<li>Ajit Gupte is working on novel DSP architectures for Image processing systems (jointly with Prof. Bharadwaj Amrutur)


<br>
<b> M.E </b>
<li> Avik Santra
<li> Rajendraprasad Matcha
<li> Naganjaneyulu GVSSKR
</html>
[[Miscellaneous]]
ESQUBE Communication Solutions Pvt. Ltd (<html><a  href="http://www.esqube.com">www.esqube.com </a></html>) was incorporated in Dec 2002. Its Co-Founders are K V S Hari, T V Sreenivas, H S Jamadagni and V Chandrasekar. 

ESQUBE is now a partially-owned subsidiary of Cranes Software International Ltd (<html><a href="http://www.cranessoftware.com">www.cranessoftware.com </a></html>).

ESQUBE has built innovative technologies and solutions
<html>
<li> VQUBE (Versatile Voice Video Voicemail Solution): Secure Multimodal Communication Solution with VoIP, Text Chat, Whiteboard, Voice Mail, Answering Machine for Portals and Enterprises. Download VQUBE from 
<a href = "http://www.vqube.com"> www.vqube.com </a><br>
<a href = "http://www.vqube.com"><img src="vqube_1.bmp"></a><hr>
<li> CLICK TO CALL SOLUTION: India's first company to launch the Click-to-call solution which connects two users on a PSTN network via the WEB.<br>
<a href = "http://www.esqube.com"><img src="click_to_call.gif"></a>
<hr>
<li> IEEE 802.11n PHY and MAC Layer implementation
<hr>
<li> TARANG: Proprietary Audio Codec which is like MP3
<hr>
ESQUBE's Customers<br>
<img src = "redifflogo.gif">
<img src = "sulekha_logo.jpg">

<img src = "ibibo-logo.gif">

<img src = "MB_logo.gif">

<img src = "khojguru.jpg">

<img src = "sify_1.jpg">
<br>
<img src = "navini_logo.jpg">

<img src = "cnxt_logo_.gif">

<img src = "wipro_logo.jpg">

<img src = "TM-logo.gif">

<li> 
<hr>
AWARDS<br>
<img src = "redherring_logo_100 winner.jpg">

<img src = "nasscom_spot_it_innovators.jpg">

</html>
Communications'98, Proceedings of the National Conference on Communications, Edited by Utpal Mukherji and K.V.S.Hari, Tata-McGraw Hill, New Delhi, India, 1998. 
  

Signal Processing and Communications, Proceedings of the Discussion M eeting on Recent Advances in Signal Processing and Communications, Edited by T. V. Sreenivas and K.V.S.Hari, Tata-McGraw Hill, New Delhi, India, 1993. 
 
<html>
<hr> 
Member, 
<a href="eurasip_signal_processing_editorial_board.pdf">Editorial Board</a>, EURASIP's Journal on  Signal Processing, 2006-- till date

<img src="eurasip_signal_processing.gif"> 

</html>
Co-Founder of [[ESQUBE]] Communication Solutions Pvt. Ltd. (www.esqube.com)

[[ESQUBE]]
Source: Wikipedia

The Erdős number (Hungarian pronunciation: [ˈɛrdøːʃ]) describes the "collaborative distance" between a person and mathematician Paul Erdős, as measured by authorship of mathematical papers.

It was created by friends as a humorous tribute to the enormous output of Erdős, one of the most prolific modern writers of mathematical papers, and has become well-known in scientific circles as a tongue-in-cheek measurement of mathematical prominence.

Paul Erdős was an influential and itinerant mathematician, who spent a large portion of his later life living out of a suitcase and writing papers with those of his colleagues willing to give him room and board. He published more papers during his life than any other mathematician in history (at least 1400).
Problem SET
[[Problem Set 5]]
To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
<html><hr>
HUMAN EMBLEM 2008
<hr>

<img src = "iisc_human_emblem_gymkhana2008.jpg ">

<br>

Can you find out where I am? :) 
<a href="iisc_human_emblem_gymkhana2008_hari.jpg">Click here</a>
 

</html>
<html><hr>
HUMAN EMBLEM 2008
<hr>

<img src = "iisc_human_emblem_gymkhana2008.jpg ">

<br>

Can you find out where I am? :) 
<a href="iisc_human_emblem_gymkhana2008_hari.jpg">Click here</a>
 

</html>
------------------------------------------------------------------------
SSP LAB will be carrying out ACTIVITIES related to INDIA-UK ADVANCED TECHNOLOGY CENTRE FOR NEXT GENERATION COMMUNICATION SYSTEMS (IUATC)
http://www.iu-atc.com/

The research activity will focus on developing ADVANCED AIR INTERFACE TECHNIQUES FOR the NEXT GENERATION WIRELESS COMMUNICATION SYSTEMS Using MIMO-OFDM, Co-operative communcation, beamforming etc.
[[ESQUBE]]
Co - Founder and Director, [[ESQUBE]] Communication Solutions Pvt. Ltd.(<html><a href="http://www.esqube.com">www.esqube.com </a></html>) (2002- till date )
CEO, ESQUBE Communication Solutions Pvt. Ltd. (2006-2008)

Co-author of the Stanford University Interim (SUI) Channel Models for WiMAX (IEEE 802.16) standard.

Consultant: SPRINT, Iospan Wireless, NOKIA RESEARCH CENTER, Cranes Software,  LGSoft, HFCL, Bluefont Technologies

Scientist, Defence Electronics Research Lab, Hyderabad.

Projects: NOKIA Research Center, Helsinki

Patents: 2 granted 
Chairman,  IEEE Signal Processing Society, Bangalore Chapter  (2005)

IETE: Fellow 
IEEE: Senior member; 
IISc Faculty Association: Secretary (2002)
Satya Sudhakar Yedlapalli and K. V. S. Hari, " THE LINE SPECTRAL FREQUENCY MODEL OF A FINITE LENGTH SEQUENCE," Special Issue on Model Order Selection in Signal Processing Systems, IEEE Journal of Selected Topics in Signal Processing, June 2010.

M R Bhavani Shankar and K V S Hari, 'Systematic Construction of Linear Transform based Full Diversity, Rate One  Space-Time-Frequency Codes,' IEEE Transactions on Signal Processing,
vol. 57, issue 6, June 2009, pp. 2285-2298. 

M. R. Bhavani Shankar and K. V. S. Hari, 'On the Variations in Mutual Information of MIMO Communication Systems Due to Perturbed Channel State Information at Transmitter' IEEE Transactions in Communications, Volume 54, Issue 9, Sept. 2006 Page(s): 1593 - 1603 

A. Vijaya Krishna and K. V. S. Hari 'Filterbank precoding for FIR equalization in high rate MIMO communications' IEEE Transactions on Signal Processing,Volume 54, Issue 5, May 2006 Page(s): 1645 - 1652. 

M. R. Bhavani Shankar and K. V. S. Hari 'Reduced Complexity Equalization schemes for Zero Padded OFDM Systems,' IEEE Signal Processing Letters, ,Volume: 11, Sep 2004, Issue: 9 Page(s): 752- 755 . 

V. G. S. Prasad and K. V. S. Hari, 'Interleaved Orthogonal Frequency Division Multiplexing (IOFDM) System,' IEEE Transactions on Signal Processing, pp. 1711-1721, June 2004. pdf file 

H. Bolcskei, A. J. Paulraj, K. V. S. Hari, R. U. Nabar, W. W. Lu, 'Fixed broadband wireless access: state of the art, challenges, and future directions,' IEEE Communications Magazine pp. 100 -108, Jan 2001. pdf file 

G. Ganesan and K. V. S. Hari, `HOS based orthogonal subspace algorithms for causal ARMA system identification,' Signal Processing vol. 80, Issue 3, pp. 535-542, March 2000. pdf file 

K. V. S. Hari and B. V. Ramakrishnan, `Performance analysis of a modified spatial smoothing technique for direction estimation,' Signal Processing, vol. 79, Issue 1, pp. 73-85, November 1999. pdf file 

K. V. S. Hari and Bjorn Ottersten, `Parameter Estimation using a Sensor Array in a Ricean Fading channel,' Sadhana, Journal of Indian Academy of Sciences' vol. 23, Part I, pp. 5-15, February 1998. pdf file 

Sachin S. Deo and K. V. S. Hari,`Simple method to compute a function in fixed-point arithmetic,' Electronics Letters, vol.33, no. 23, pp. 1631-1632, November 1997. pdf file

L.Srinivas and K. V. S. Hari,`FIR System Identification based on Subspaces of a Higher-Order Cumulant Matrix,' IEEE Transactions on Signal Processing, vol. 46, June 1996. pdf file 

L.Srinivas and K. V. S. Hari,`FIR System Identification using Higher-Order Cumulants - A Generalized Approach,' IEEE Transactions on Signal Processing, December 1995. pdf file 

K. V. S. Hari and Uma Gummadavelli, `Effect of Spatial Smoothing on the performance of Subspace methods in the presence of Array Model Errors,' Special Issue on Statistical Signal Processing and Control, IFAC Journal, Automatica, January 1994. 

Bhaskar D. Rao and K. V. S. Hari, `Weighted Subspace Methods and Spatial Smoothing: Analysis and Comparison,' IEEE Transactions on Signal Processing, Vol. 41, No. 2, pp 788-803, February 1993. pdf file 

Bhaskar D. Rao and K. V. S. Hari,`Analysis of Subspace based DOA Estimation Methods,' Sadhana, Journal of Indian Academy of Sciences' Special Issue on Recent advances in Digital Signal Processing, vol. 16, Part 3, pp. 183-194, November 1991. 

Bhaskar D. Rao and K. V. S. Hari, `Effect of Spatial Smoothing on the Performance of MUSIC and the Minimum-Norm method,' Proceedings of IEE, Vol. 137, Part F, No. 6, pp 449-458, December 1990. pdf file 

Bhaskar D. Rao and K. V. S. Hari, `Performance Analysis of Root-Music,' IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 43, pp 1939-1949, December 1989. pdf file 

Bhaskar D. Rao and K. V. S. Hari, `Performance Analysis of ESPRIT and TAM in determining the Direction of Arrival of Plane Waves in Noise,' IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, pp 1990-1994, December 1989. pdf file 

Bhaskar D. Rao and K. V. S. Hari, `Statistical Performance Analysis of the Minimum-Norm method,' Proceedings of IEE, Vol. 136, Part F, no. 3, pp 125-134, June 1989. 

Surendra Prasad and K.V.S.Hari, `Adaptive Seismic Deconvolution via the Canonical Variate Analysis,' Journal of IETE, vol. 34, no. 5, pp. 423-430, September-October 1988. 

Surendra Prasad and K. V. S. Hari, `Improved ARMA Spectral Estimation using the Canonical Variate Method,' IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 35, pp 900-903, June 1987. 
Type the text for 'YourName'
Location: First Floor, Signal Processing Building, ECE
Ph: +91 80 2293 2280
<html>
<hr> 
<em>Project #1,2</em>: <b>Signal Processing Applications (e.g. spectrum sensing
techniques for cognitive radio) using Line Spectral Frequencies
(LSFs) of complex sequences </b>
<br><br>
<em>Open to streams</em>: <b>ME(SP), ME(Telecom).</b>
<hr>
<em>Project #3,4 </em>: <b>Signal Processing algorithms for MIMO Communication Systems
(e.g.  WiFi, Wimax, WUSB, LTE)</b>
<br><br>
<em>Open to streams</em>: <b>ME(SP), ME(Telecom).</b>
<hr>

<em>Project #5,6</em>: <b>Hardware (DSP processors/FPGA) implementation of
Physical layer algorithms for MIMO Communication systems </b>
<br><br>
<em>Open to streams </em>: <b>ME(SP), ME(Telecom), ME(Microelectronics)</b>
<hr>
<em>Project #7,8</em>: <b>Signal Processing algorithms for Wireless Sensor Networks</b>
<br><br>
<em>Open to streams </em>: <b>ME(SP), ME(Telecom).</b>
<hr>
<b>Total Number of Projects : FOUR </b>
</html>
[[Present Position]]
[[Contact Information]]
[[Academic Degrees]]
[[Research Interests]]
[[Teaching Interests]]
[[SSP Lab]]
[[Current Projects]]
[[Publications]]
[[Citation Report]]
[[Collaboration Distance]]
[[Academic Experience]]
[[Editorial Work]]
[[Entrepreneurship]]
[[Industry Experience]]
[[ESQUBE]]
[[Institutional Affiliations]]
[[Professional Activities]]
[[Personal Information]]

<html>
<em> pageviews</em>
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<em> since 17 Dec 08</em>
</html>
<html>
<h1> Adaptive Signal Processing course: Assignment due on 18 Feb 2010: Problems II.13,II.18, II.25 and Computer project II.3</h1>

<H2>Attention BE/B.Tech Students: I am NOT offering summer projects in 2010.</H2>

<H3>Recent activity:</H3> 
<li> <b>Satya Sudhakar Y defended his PhD thesis on 16 Jan 2010 and has completed all formalities to obtain the PhD degree.</b>

<li>Delivered an invited talk on 1 Jan 2010 in Hyderabad at the International Conference in honour of Prof C. R. Rao's 90th birth-year celebrations.
<li>
Study of Co-existence issues between WiMAX Systems and Mobile Satellite Systems in the 2.5 GHz band. In this study, the performance of the MSS receiver was studied in the presence of adjacent band WIMAX signals. The blocking performance of the MSS receiver was measured using WiMAX Base station equipment and WiMAX USB dongles.

</html>
---------------------------------------------------------------------
IUATC Project:

Scope of Activity:
Developing ADVANCED AIR INTERFACE TECHNIQUES FOR the NEXT GENERATION WIRELESS COMMUNICATION SYSTEMS Using MIMO-OFDM, Co-operative communcation, beamforming etc.

Task description: Project staff members are required to study current literature (research papers and wireless standards) and develop new algorithms. The implementation tools would be MATLAB, IT++, C++.  

Qualifications needed: B.E/M.E/M.Tech with background in Digital Communication, DSP
Desirable background: MIMO-OFDM/CDMA, WiMAX/WiFi. 

Compensation: As per IISc norms, based on qualifications and experience.

Please send your resume with "IUATC-IISc" in the subject field of your email to hari@ece.iisc.ernet.in
------------------------------------------------------------------------
WIRELESS SENSOR NETWORKS PROJECT:

Scope of the activity: Study of signal processing algorithms for Wireless Sensor Networks.

Qualifications needed: B.E./M.E/M.Tech with background in Digital Communication, DSP

Compensation: As per IISc norms, based on qualifications and experience.

Please send your resume with "WSN-IISc" in the subject field of your email to hari@ece.iisc.ernet.in

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Bhavani Shankar, M. R.; K. V. S. Hari
"Systematic Construction of Linear Transform Based Full-Diversity, Rate-One Space–Time Frequency Codes"
Page(s): 2285-2298, IEEE Transactions on Signal Processing, June 2009.

Abstract
In this paper, we generalize the existing rate-one space frequency (SF) and space–time frequency (STF) code constructions. The objective of this exercise is to provide a systematic design of full-diversity STF codes with high coding gain. Under this generalization, STF codes are formulated as linear transformations of data. Conditions on these linear transforms are then derived so that the resulting STF codes achieve full diversity and high coding gain with a moderate decoding complexity. Many of these conditions involve channel parameters like delay profile (DP) and temporal correlation. When these quantities are not available at the transmitter, design of codes that exploit full diversity on channels with arbitrary DP and temporal correlation is considered. Complete characterization of a class of such robust codes is provided and their bit error rate (BER) performance is evaluated. On the other hand, when channel DP and temporal correlation are available at the transmitter, linear transforms are optimized to maximize the coding gain of full-diversity STF codes. BER performance of such optimized codes is shown to be better than those of existing codes. 
Systematic Construction of Linear Transform Based Full-Diversity, Rate-One Space–Time Frequency Codes

Bhavani Shankar, M. R.   Hari, K. V. S.   


This paper appears in: Signal Processing, IEEE Transactions on
Publication Date: June 2009
Volume: 57,  Issue: 6
On page(s): 2285-2298


Abstract
In this paper, we generalize the existing rate-one space frequency (SF) and space–time frequency (STF) code constructions. The objective of this exercise is to provide a systematic design of full-diversity STF codes with high coding gain. Under this generalization, STF codes are formulated as linear transformations of data. Conditions on these linear transforms are then derived so that the resulting STF codes achieve full diversity and high coding gain with a moderate decoding complexity. Many of these conditions involve channel parameters like delay profile (DP) and temporal correlation. When these quantities are not available at the transmitter, design of codes that exploit full diversity on channels with arbitrary DP and temporal correlation is considered. Complete characterization of a class of such robust codes is provided and their bit error rate (BER) performance is evaluated. On the other hand, when channel DP and temporal correlation are available at the transmitter, linear transforms are optimized to maximize the coding gain of full-diversity STF codes. BER performance of such optimized codes is shown to be better than those of existing codes. 
V. Erceg, K.V.S. Hari, M.S. Smith, D.S. Baum, K.P. Sheikh, C. Tappenden, J.M. Costa, C. Bushue, A.Sarajedini, R. Schwartz, D. Branlund, S. Kaitz, D. Trinkwon, ` Channel Models for Fixed Wireless Applications,' accepted, by the Task Group 3 of  IEEE 802.16 working group, as the standard at Session #14 held at Portland, Oregon, July 2001. pdf file 

V. Erceg, K. V. S. Hari, M. S. Smith, K. P. Sheikh,. Tappenden,J. M. Costa, D. S. Baum, C. Bushue, 'Channel Models for Fixed Wireless Applications,' presented to the IEEE 802.16 working group meeting, Jan 2001. 

K. V. S. Hari and Khurram P. Sheikh, 'Interim Channel Models for G2 MMDS Fixed Wireless Applications,' presented to the IEEE 802.16 working group meeting, Tampa Fl, Nov 2000. 
 


 
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<b>Research </b>
<br>
<b>Ph D </b>
<br>

<li>Joby Joseph (2004). Worked on Acoustic source separation using only TWO microphones. Currently he is a researcher at NIH, USA.

<li>Bhavani Shankar (2007) worked on MIMO OFDM algorithms. Currently he is a Post-doctoral researcher   at University of Luxembourg.

<li>A Vijayakrishna (2007) worked on MIMO OFDM algorithms. Currently he is a faculty at PESIT, Bangalore.
<li> Satya Sudhakar Yedlapalli (2010) worked on the Line Spectral Model of a finite length sequence.
<hr>
<b>M. Sc(Engg) </b>

<li>L. Srinivas (1994), did his research work in identifying non-minimum-phase systems using Higher-Order Statistics. He is presently working with TI, Dallas. 

<li>Yogish K. Lavanis(1995), did his research work in obtaining a new kernel for the Wigner distribution to smoothen the cross-terms. He is a Co-Founder of Valued Epistemics Ltd, Chennai 

<li>Shishir K. L (1998), did his research work in separating co-channel signals using an antenna array for use in mobile communication. 

<li>Avinash Achar  worked on DOA estimation of spatially distributed sources

<li>T S Vinod worked on MIMO OFDM algorithms

<li>A Prabhakar worked on MIMO OFDM algorithms


<hr>
<b>M.E. </b>
  
<li>B. V. Ramakrishnan (1994), worked on the performance analysis of a modified spatial smoothing technique for estimating the directions of signals using an antenna array. 

<li>Rajeev Kumar(1996), worked on a recursive identification of multiple channel FIR filters. He is now with Motorola(India), Bangalore. 

<li>Raghunathan(1996), worked on beamforming methods for scattered sources in a mobile scenario. He is at Chennai. 

<li>Alok Kumar Singh(1997), worked on blind estimation of co-channel signals in TDMA systems using an antenna array. he is working at Tata Elxsi India, Bangalore. 


<li>Joby Joseph(1998), worked on separating speech sources using the Kalman Filter. He is continuing his stay for his Ph.D degree. 

<li>Shine Thomas (1998), worked on speech enhancement. He is currently working at Silicon Automation Systems (India), Bangalore. 

<li>Major U Visweswaran (1998), worked on implementing a Time-frequency Analyser using DSP processors. He has returned to his Army base. 

<li>Girish Ganesan (1998), did his work on identifying AR and AARMA systems using HOS. He pursued his Ph.D at the Uppsala University, Sweden and is now in the US working for a financial company 

<li>M. Raghuraman (1998) worked on estimating the directions of scattered sources using an antenna array. 

<li>N. Barker (1999) worked on the application of cyclostationary signal processing techniques for direction estimation and co-channel interference cancellation, using sensor arrays. 

<li>Priyank Saxena (1999) worked on estimating the directions of scattered sources using an antenna array. 

<li>Sandeep Sehgal (1999) worked on the performance of subspace methods for co-channel interference suppression using antenna arrays for QPSK signals. 

<li>Krishnagiri (1999) worked on the study of of methods for co-channel interference suppression using antenna arrays. 

<li>Ravi Kandarpa (2001) worked on OFDM. 

<li>Sriram (2001) worked on OFDM. 

<li>V G S Prasad (2001) worked on OFDM and Proposed Interleaved OFDM. 

<li>Kalyan Krishnan (2002) worked on synchronisation for OFDM systems. 

<li>Venkat Reddy (2002) worked on DOA estimation in impulsive noise situation. 

<li>Biju C Thomas (2002) worked on active noise cancellation in headphones. At present working with VSSC, ISRO, Thiruvanathapuram. 

<li>Inderpal Singh (2002) worked on channel estimation for OFDM. 

<li>Deepak R (2004). Faculty in an Engineering College, 

<li>Sachin Chaudhuri (2004) worked on OFDM algorithms. Pursuing his PhD at Helsinki Univ of Technology, Finland. 

<li>Abhishek Kumar Singh (2006) 

<li>Ashok Kumar Reddy (2006) worked on OFDM algorithms. Working at BECEEM. 

<li>Chaitanya(2006) worked on WiMAX systems. Working at BECEEM 

<li>V Lalitha (2006) worked on DOA estimation in impulsive noise. Pursuing PhD at ECE, IISc 

<li> Vijay Patel (2006). Faculty in an Engg college, Gujarat. 

  
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<html><img src="http://ece.iisc.ernet.in/~hari/hari.jpg"></html>

Alias: Hari V S Kuchibhotla
Full name: Kuchibhotla Venkata Subrahmanya Hari 
http://ece.iisc.ernet.in/~hari/hari.jpg
Professor, Department of ECE, Indian Institute of Science, Bangalore 560012
Member, Editorial Board, EURASIP's Journal on  Signal Processing, 2006-- till date

Member, Overseas Liaison Committee, EUSIPCO 2006, Florence Italy

Reviewer of IEEE Publications, EURASIP Journals, National and International  Conferences

Member of Governing Council, DOEACC, Ministry of Information Technology, Govt. of India (2001-2005) 
Member, Organizing Committees, SPCOM Series of Conferences on Signal Processing and Communication (1992-2004) 
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[[Journal Papers]](22)                    [[Book chapters]](3)

[[Conference papers]](33)           [[Papers submitted to IEEE Standards Bodies]](3)

[[Edited Conference Proceedings]](2)
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[[Citation Report]] <html>based on WEB oF SCIENCE <br><hr>
<a href="http://scholar.google.co.in/scholar?q=k+v+s+hari&hl=en&lr=">List of Publications </a> in decreasing order of Citations, based on Scholar.google.com <hr></html>
Array Processing techniques like Root-MUSIC are being used in Medical Engineering and Physics. E.g.

Title: Colour Doppler ultrasound of the ocular circulation in patients with systemic lupus erythematosus identifies altered microcirculatory haemodynamics 
Author(s): Wright SA, O'Prey FM, Hamilton PK, et al.
Source: LUPUS   Volume: 18   Issue: 11   Pages: 950-957   Published: OCT 2009 

Title: Root-MUSIC analysis of nitric oxide-mediated changes in ophthalmic artery blood flow velocity waveforms 
Author(s): Agnew CE, Rea DJ, McCann AJ, et al.
Source: MEDICAL ENGINEERING & PHYSICS   Volume: 31   Issue: 7   Pages: 799-805   Published: SEP 2009 
Statistical Signal Processing

Wireless Communication: MIMO - OFDM systems, MIMO Wireless channel modelling, Wireless Sensor Networks

Array Signal Processing: Direction Estimation using sensor arrays, Microphone arrays 

Time-Series Analysis: Spectrum estimation, System Identification, Independent Component Analysis (ICA), Higher - Order Statistics
Bhaskar D. Rao and K. V. S. Hari, `Performance Analysis of Root-Music,' IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 43, pp 1939-1949, December 1989.
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<hr>
<b> Members of the Lab </b>
<hr>
<img src="ssplab_aug09_thumbnail.jpg"></html>  LtoR:Renu Jose(PhD), M Rajendra Prasad(ME), V Rajkumar(Project Assistant),<br> K V S Hari,  Avik Santra (ME), Dileep Dinesh Gaurav (PhD), Amit Dutta (PhD),<br> G V S S K R Naganjaneyulu (ME)

[[Lab Info]]
[[Current students]]
[[Past Students]]
[[Visiting Students]]

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Statistical Signal Processing Lab (SSP Lab) conducts  research in the following areas:
<hr>
<li> MIMO WIRELESS COMMUNCIATION
<li> SIGNAL PROCESSING USING LINE SPECTRAL FREQUENCIES OF COMPLEX SEQUENCES
<li> SIGNAL PROCESSING FOR COGNITIVE RADIO
<li> ARRAY SIGNAL PROCESSING FOR DIRECTION ESTIMATION
<li> FILTER ARCHITECTURES

<br>

<img src="mimo.jpg">
<img src="ula.gif">
<BR>
 
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Home Page of K V S Hari
[[Course This Semester]]


Courses taught at IISc
Graduate Courses: 
Matrix Theory(Aug-Dec 2006, 2008)
Spectrum Analysis (Aug-Dec 2001,02,03,04,05,07; Jan-Apr 97, 98,99),(Aug - Dec 94, jointly with Prof. P. S. Naidu).
Digital Array Signal Processing (Jan - Apr 2001,02, 03, 04, 05,06,07)
Space-Time Signal Processing and Coding jointly with B. Sundar Rajan (Jan-Apr 2002)
Adaptive Signal Processing (Aug - Dec 97, Jan - Apr 93,94,95,96, 2009
Statistical Theory of Communication (now called Advance Digital Communication)(Jan - Apr 96, jointly with Dr. Kumar N. Sivarajan)
Digital Signal Processing (Aug - Dec 96), (Aug - Dec 95, jointly with Dr.T. V. Sreenivas)
Digital Communication (Aug - Dec 94, jointly with Prof. B. S. Sonde and Dr. Utpal Mukherji).
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<b> Thoughts of Alexander
Fleming who was awarded 1945 Nobel prize for Medicine jointly with Horward Florey and Ernst chain,
for their work on PENCILLIN
<br>
<br>
<em>"All of us, in our ordinary pursuits, can do research, and valuable research by continual and
critical observation. If something unusual happens we should think about and try to find out what it
means.....
<br><br>
"There can be little doubt that the future of humanity depends greatly on the freedom of the
researcher to pursue his own line of thought. It is not an unreasonable ambition in a research worker
that
he should become famous, but the man who undertakes research with ultimate aim of wealth or power is
in the wrong place..."
<br><br>
"The research worker must be at liberty to follow wherever a new discovery may lead him ...Every
research worker should have a certain amount of time to himself, so as to be able to work out his own
ideas without having an account of them (unless he wants to) to anybody. Momentous things may
happen in a man's free time."
<br> <br>
"The research worker
is familiar with disappointment, the
weary months spent in following the
wrong road, the many failures. But even failures have their uses ,for properly analyzed, they may lead him
to success. For the man engaged in research there is no joy equal to that of discovery, no matter how
unimportant it may be. That is what it keeps him going...."
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<html><A href ="http://www.olin.edu/faculty_staff/bios/bio_sgovindasamy.asp">Siddhartan Govindasamy</a> Massachussetts Institute of Technology (MIT), USA under the MIT-INDIA Program in 2006. Currently he is an Assistant Professor of Electrical and Computer Engineering at the <A href="http://www.olin.edu">Franklin W. Olin College of Engineering, MA, USA</a> 

<br><br>

Theja T, (Jun-Jul 2009) graduate student at MIT.edu

<br><br>

Ranjitha Kulkarni, B.E student at NIT Surathkal spent 8 weeks during May-Jul 2009 under the Fellowship programme of the Indian Academy of Sciences, Bangalore.

<br><br>

Abhishek Basak, B.E. student at Jadavpur University spent 8 weeks during May-Jul 2009 under the Fellowship programme of the Indian Academy of Sciences, Bangalore.
<br><br>

Rakshith, B.E. Student at NIT Jaipur (May-Jul 2009)
<br><br>

Tarun, B.E. Student at NIT Surathkal (May-Jul 2009)

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CONGRATULATIONS TO ALL RESEARCH STUDENTS WHO GOT SELECTED TO THE ECE DEPARTMENT THIS YEAR!!!!

Welcome to ECE!

Our Lab has vacancies for more than one research student, this year.
If you have indicated your interest in Signal Processing / Communication during the interview, you may contact me via email and we can set up a time to meet/talk.

The current fields of interest are:
++ MIMO Wireless Communciations
++ Signal Processing using Line Spectral Frequencies of Complex Sequences
++ Digital Array Signal Processing 
++ Signal Processing for Cognitive Radio
++ any other topic of mutual interest !!!

Wishing you all the best.
Hari

[[Collaborative Distance between C. E. Shannon & K V S Hari]] : 8

[[Collaborative Distance between Thomas Kailath & K V S Hari]] : 6

[[Collaborative Distance between A. J. Viterbi & K V S Hari]]: 8

[[Collaborative Distance between C. V. Raman (Nobel Laureate) & K V S Hari]] : 8

Collaboration Distance = 8 K. V. S. Hari  coauthored with  Bhaskar D. Rao  MR1083546  
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  MR1729739 (2000i:94022)  
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain  MR1160265 (92m:70012)  
Anil K. Jain  coauthored with  Robert E. Kalaba  MR0323122 (48 #1480)  
Robert E. Kalaba  coauthored with  Ramabhadra Vasudevan  MR0139792 (25 #3220)  
Ramabhadra Vasudevan  coauthored with  Ramaswamy Jagannathan  MR0500729 (81g:81031)  
Ramaswamy Jagannathan  coauthored with  Kadayam Sankaran Viswanathan  MR1156853 (92m:81113)  
Kadayam Sankaran Viswanathan  coauthored with  Chandrasekhara Venkata Raman  MR0071981 (17,210b)  


Collaboration Distance = 7 K. V. S. Hari  coauthored with  Bhaskar D. Rao  MR1083546  
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  MR1729739 (2000i:94022)  
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain  MR1160265 (92m:70012)  
Anil K. Jain  coauthored with  Robert E. Kalaba  MR0323122 (48 #1480)  
Robert E. Kalaba  coauthored with  Venu K. Murthy  MR0453093 (56 #11361)  
Venu K. Murthy  coauthored with  Paruchuri R. Krishnaiah  MR0214259 (35 #5110)  
Paruchuri R. Krishnaiah  coauthored with  Calyampudi Radhakrishna Rao  MR0702678 (85c:62136) 


Collaboration Distance = 7 K. V. S. Hari  coauthored with  Bhaskar D. Rao  MR1083546  
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  MR1729739 (2000i:94022)  
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain  MR1160265 (92m:70012)  
Anil K. Jain  coauthored with  Robert E. Kalaba  MR0323122 (48 #1480)  
Robert E. Kalaba  coauthored with  Richard Ernest Bellman  MR0083406 (18,705d)  
Richard Ernest Bellman  coauthored with  Ernst Gabor Straus  MR0031095 (11,99c)  
Ernst Gabor Straus  coauthored with  Albert Einstein  MR0012947 (7,87j)  
 

Collaboration Distance = 9 K. V. S. Hari  coauthored with  Bhaskar D. Rao  MR1083546  
Bhaskar D. Rao  coauthored with  Kenneth Kreutz-Delgado  MR1729739 (2000i:94022)  
Kenneth Kreutz-Delgado  coauthored with  Anil K. Jain  MR1160265 (92m:70012)  
Anil K. Jain  coauthored with  Robert E. Kalaba  MR0323122 (48 #1480)  
Robert E. Kalaba  coauthored with  Mario L. Juncosa  MR0085155 (18,981a)  
Mario L. Juncosa  coauthored with  Victor L. Klee, Jr.  MR0273436 (42 #8314)  
Victor L. Klee, Jr.  coauthored with  Edward Maitland Wright  MR0681423 (84g:05125)  
Edward Maitland Wright  coauthored with  Godfrey Harold Hardy  MR0067125 (16,673c)  
Godfrey Harold Hardy  coauthored with  Srinivasa Aiyangar Ramanujan  MR2280874  
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