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Mar 30, 2010

Mitola's view on the future of Cognitive Radio

Joseph Mitola III.One of the first references in each paper related to Cognitive Radio is the landmark work by Dr Joseph Mitola III. I just catched through the Cognitive Radio Group in linkedin an interesting (and insightful) interview with him titled Future of Cognitive Radio. Two of his two comments called my attention, the first refers to the current development of cognitive networks

[...] DoD [United States Department of Defense] is moving into the age of dynamic spectrum access (DSA), which is the key near-term contribution of cognitive radio. Industry leaders like Nokia have adopted cognitive radio within allocated spectrum bands to more effectively manage heterogeneous spectrum and femtocell dynamics, moving network intelligence to the radios [...]"

and the second about the challenges left in cognitive radio systems

[...] There are no key challenges in spectrum sensing at the physical layer. [...] the major issues have to do with market structure and not technology per se. The FCC spectrum occupancy database ruling removed regulatory barriers, so the key issues now have to do with cognitive networks, particularly of the integration of space-time-RF databases into cognitive networks."

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JSTSP: Special issue on Compressive Sensing

IEEE JSTSPI just updated my list of journals and conferences related to cognitive radio with the last number of the IEEE Journal of Selected topics in Signal Processing, which is a special issue on Compressive Sensing.

I will review it looking for papers related to cognitive radio. Thanks Marcos for the hint.

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Mar 26, 2010

White space data network trial in Wilmington

Cognitive radio in Wilmington Two experimental TV band white space licenses are included in the FCC list of experimental actions from 1/1/10 to 2/1/10. One of them is TV Band Service LLC that received a license for use of 168-216 MHz and 470-608 MHz spectral bands "to conduct research by using vacant spectrum in the television broadcast band, for the testing of fixed Whitespace devices" in the Wilmington area, DL. This company seems to be working with Spectrum Bridge to set up this network. Rick Rotondo, chief marketing officer and co-founder of Spectrum Bridge declared:

There's a ton of white space in Wilmington"

More information on ABC News and other sources.

The second license is for Spectrum Bridge itself (also interested in becoming a white spaces database provider) and covers the same frequency range in the area of Lake Mary (Seminole), FL.

A third experimental license somehow related to cognitive radio was granted to Matthew T. Kaufman, to use part of the 700 MHz band to "perform a non-line-of-sight digital network experimentation" with fixed and mobile devices in Los Gatos and Bonny Doon, CA. Kaufman stated that the main purpose of his experiment is to determine the real-world performance of the 700 MHz band in non-line-of-sight conditions. The results obtained will help the future development of "rapidly-deployable public safety networks for disaster situations".

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Mar 20, 2010

Impressions on the ICASSP 2010

ICASSP 2010ICASSP 2010's hot topic was compressive sensing. It was present in most of the sessions either because the session was directly related to it (like many of the sessions on Thursday) or because this tool has shown to be useful in many research areas in signal processing. These days I also commented two other works directly related to compressive sensing.

Also related to my research were the sessions on spectral sensing for cognitive radio and some work on game theory.

With this quick review I finish the coverage of the ICASSP 2010 conference to come back to my everyday research. See you next year in Prague.

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Mar 19, 2010

Compressed sensing's day at the ICASSP

Texas skyline As I commented in the previous post on game theory at the ICASSP, today was the compressed sensing day at the ICASSP. Although I tried to be selective in the lectures/posters I attended I finished with a bunch of interesting papers, from a wide range of topics on compressive sensing. Let's go sequentially.

Morning's

The fact that each author can cover up to 4 papers was used by Mihailo Stojnic to present four single author papers at the conference. Since all of them where scheduled into the same poster session (SPTM-P5: Compressive Sensing) the author had a difficult time from one spot to another. These papers were mostly related to generalizations of the Donoho-Tanner border under different models (for more information on the Donoho-Tanner border check Nuit-Blanche on precise undersampling theorems).

Yonina Eldar was also there explaining a different application of her Modulated Wideband Converter: in this case pulse delay recovery. Paper's title reads TIME DELAY ESTIMATION: COMPRESSED SENSING OVER AN INFINITE UNION OF SUBSPACES by Kfir Gedalyahu et al. Later Y. Eldar left the poster session to give the talk presenting SUB-NYQUIST PROCESSING WITH THE MODULATED WIDEBAND CONVERTER by M. Mishali et al. in a simultaneous lecture session.

Some more interesting work presented in the poster session was on compressive sensing with not perferct knowledge of the compression matrix (SENSITIVITY TO BASIS MISMATCH IN COMPRESSED SENSING by Yuejie Chi et al.) and on sparse reconstruction with partially known support (MODIFIED BASIS PURSUIT DENOISING(MODIFIED-BPDN) FOR NOISY COMPRESSIVE SENSING WITH PARTIALLY KNOWN SUPPORT by Wei Lu et al.)

Afternoon's

The afternoon's session SPTM-L6: Compressive Sensing: Theory and Methods was chaired by Yonina Eldar (what for a ubiquitous person). From there I want to cite the work ALTERNATING MINIMIZATION TECHNIQUES FOR THE EFFICIENT RECOVERY OF A SPARSELY CORRUPTED LOW-RANK MATRIX by Silvia Gandy et al., which uses sparsity in two ways. First it assumes that the meassurement matrix presents low rank so that nuclear norm can be used for reconstruction, but on the other hand it assumes that the corrupting noise is also sparse in the coefficients domain, that is, that most of the matrix entries are unaffected by the noise. I have to take a closer look to the algorithms CoSaMP and ADMIRA, since they are used in an alternating way to solve the proposed problem.

In a poster session Zvika Ben-Haim was presenting the work ON UNBIASED ESTIMATION OF SPARSE VECTORS CORRUPTED BY GAUSSIAN NOISE by A. Jung et al. I found it quite impressive since they analyze the fundamental limits on the estimation performance of sparse vectors (since of course in practical scenarios the reconstruction cannot be perfect). They had found previously that the Cramer-Rao lower bound becomes not tight in the low SNR regime and that other bounds must be used to analyze estimator performance in this regime. Since the tighter Barankin bound (BB) has no closed expression in general, they analyze an upper and a lower bound on the BB showing a soft transition from low SNR to high SNR in the sparse estimation performance. I have to say that I really liked both the result and its presentation.

To finish this post I will cite two alternatives to the commonly used norm 1 based reconstruction. The first one (AN L0 NORM BASED METHOD FOR FREQUENCY ESTIMATION FROM IRREGULARLY SAMPLED DATA by Md Mashud Hyder et al.) proposes to substitute the norm 0 term (that penalizes the least squares error to guarantee sparsity in the solution) by an exponential transformation instead of using the norm 1. The second approach is completely different and it is presented in the paper RECONSTRUCTION OF SPARSE SIGNALS FROM L1 DIMENSIONALITY-REDUCED CAUCHY RANDOM-PROJECTIONS by Gonzalo Arce et al. This reconstruction algorithm proposes to use Cauchy random matrices, instead of the commonly used Gaussian, as compression matrices. These matrices have the property of conserving the norm 1 of the meassurement (instead of the norm 2 by the Gaussian) what allows the use of a novel reconstruction algorithm.


And that's all for now. I posted here the papers I found interesting or related to my research. If someone is interested in other works on compressed sensing presented at the ICASSP you can check ESPACE VIDE's post on CORNUCOPIA OF COMPRESSED SENSING.

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Mar 18, 2010

ICASSP: Game theory

Rodeo at ICASSP Before enjoying the amazing rodeo at the ICASSP yesterday I catched two interesting results on game theory (field in which I also carried out some research) that I comment next. On the other hand it looks that today is the day on compressed sampling, since most of the talks are on this topic. I will comment some of these results in a future post.

The paper DESIGN OF COGNITIVE RADIO SYSTEMS UNDER TEMPERATURE-INTERFERENCE CONSTRAINTS: A VARIATIONAL INEQUALITY APPROACH by Jong-Shi Pang et al. presents a novel approach to simultaneous waterfilling in a cognitive scenario where secondary users have to maximize their own transmission rate and simultaneously satisfy the interference constraint imposed by the primary user. In a nice presentation D. P. Palomar explained how this problem can be addressed by translating the interference constraints into the maximization problem through lagrange multipliers. I was surprised that a similar strategy was used by J. A. Bazerque in his approach to the distributed Lasso, what indicates that this approach is useful for deriving distributed version of algorithms with global constraints.


Stephen P. Boyd once said in his lecture 364A that we cannot state that problems are convex only because exists a transformation that maps the original problem into an equivalent convex formulation. This definition would imply that we could never say that a given problem is non-convex, since it may exists an unknown transformation such that there exists a convex formulation.
The work CONCAVE RESOURCE ALLOCATION PROBLEMS FOR INTERFERENCE COUPLED WIRELESS SYSTEMS by Holger Boche et al. studies this problem for practical functions of the SINR that is neither convex or concave on the set of powers.The paper shows that there exists no transformation (given a set of constraints on the allowed transformations) that ensures concavity for all linear interference functions for all functions of SINR. Then it shows that for an exponential transformation on the powers this concavity is achieved for a class of utility functions. I need to take a closer look to the paper, but it looks quite interesting for practical SINR-based power control algorithms.

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Mar 17, 2010

Two interesting contributions on sparse reconstruction

Show and Tell-Yonina Eldar. This morning Yonina Eldar presented their practical proposal to spectrum reconstruction [M09] in a Show and Tell session at the ICASSP. This approach, called the modulated wideband converter, is based on mixing the wideband sparse signal of interest with a high frequency periodic signal to produce aliasing in baseband. This aliased signal is then lowpass filtered and sampled at low rate. Using several replicas of this structure in parallel we obtain several low rate signals that can be used to reconstruct a given passband of interest.
The proposed approach allows practical subsampling of sparse signals in the frequency domain today, with available electronic components. Another interesting point is that the reconstruction process, once the occupied bands are detected, is quite simple.
Unfortunately, the Show and Tell session consisted only on the hardware mixing part. While the available hardware was enough to see the baseband aliased signals that allow the reconstruction of the original passband signals, the show would be much more impressive if the actual mixed signals were reconstructed.


Another work related to sparse recovery was presented in the ICASSP's session on Distributed Estimation in Sensor Networks. The work was a practical distributed implementation of the Lasso estimation algorithm [B10] by J. A. Bazerque et al. The proposed algorithm is based on consensus: first the individual nodes perform a local norm-1 based minimization in order to obtain local sparse solutions, then they interchange with the neighbours the obtained solutions that are then incorpored into the next local optimization. This procedure is repeated until consensus is reached.
The interesting part is that the solution obtained after convergence is the same as if the lasso optimization were performed by a centralized with the whole data record.


[M09]

M. Mishali, Y. C. Eldar and A. Elron Xampling - Part I: Practice. CCIT Report #747 Oct-09, EE Pub No. 1704, EE Dept., Technion - Israel Institute of Technology. [Online] arXiv 0911.0519, Oct. 2009.

[B10]

Juan Andres Bazerque, Gonzalo Mateos and Georgios B. Giannakis. Distributed Lasso for in-network linear regression. Proc. of Intl. Conf. on Acoustics, Speech and Signal Processing (ICASSP). Dallas, USA. March 14-19, 2010.

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Mar 16, 2010

Sensing, sensing and more sensing at ICASSP

ICASSP 2010 ReceptionAfter enjoying a conference reception colored by an unconveniently loud experimental jazz group, the actual ICASSP begins. Here I will give my impressions on some of the papers cited in the previous post. Two of today's sessions were about Spectrum Sensing for Cognitive Radio, and the works presented covered all the current trends.

Sensing paradigms

The paper SEMI-BLIND LOCALLY OPTIMUM DETECTION FOR SPECTRUM SENSING IN COGNITIVE RADIO by Marco Cardenas-Juarez et al. assumes the secondary node slot-synchronized (strong assumption) to a primary system transmitting a training sequence. Then this work proposes a detector based on a mixed matched filter/energy detection strategy.

On A PERFORMANCE STUDY OF NOVEL SEQUENTIAL ENERGY DETECTION METHODS FOR SPECTRUM SENSING by Nikhil Kundargi et al. an adaptive energy detector is proposed. While the classical energy detector compares the energy received during a given time with a threshold, the proposed sequential energy detection compares the likelihood ratio of the signal up to a time instant with two thresholds, deciding hypothesis H0, H1 or, if the likelihood falls between the two threshold values undecided. In this case the operation is repeated with a longer sample of the signal.

Related to cyclostationarity is the work in AM-SIGNAL DETECTION IN COGNITIVE RADIOS USING FIRST-ORDER CYCLOSTATIONARITY by Yi Zhou et al. As the title describes they propose a cyclostationarity based detector for AM signals, what is an interesting theoretical exercise but it is in my opinion not very practical. They assume only rough information on the signal bandwidth and carrier frequency, but this implies that a search of the right cyclic frequency has to be performed.
Similarly, SPECTRAL COVARIANCE FOR SPECTRUM SENSING, WITH APPLICATION TO IEEE 802.22 by Jaeweon Kim et al. uses existing spectral correlation to propose a detector robust to noise uncertainty. However, like other cyclostationarity based approaches offers poor performance in OFDM signal detection.

An interesting idea is presented in SPECTRUM SENSING OF ORTHOGONAL SPACE-TIME BLOCK CODED SIGNALS WITH MULTIPLE RECEIVE ANTENNAS by Erik Axell et al. In this paper the authors use the aditional structure of space-time coded signals to increase detection performace. In fact I had tried this idea recetly with Alamouti coded signals observing no detection gain... my naive result is confirmed by this work since when noise power is known OSTBC based detection offers no gains with respect to energy detection. However for unknown noise level (here was the key point I had missed) there exists a significant gain.

MULTIANTENNA SPECTRUM SENSING: DETECTION OF SPATIAL CORRELATION AMONG TIME-SERIES WITH UNKNOWN SPECTRA by David Ramirez et al. asumes a multiantenna cognitive node. Then it uses the spatial uncorreldaness of the noise process to derive a detector robust to noise level (and temporal correlation) uncertainty.

Multichannel spectrum sensing

In TWO-STAGE SPECTRUM SENSING FOR COGNITIVE RADIOS Sina Maleki et al. propose the use of a two level detector with a first (energy based) coarse detection phase followed by a (cyclostationarity based) fine detection stage. The most interesting part is that when the two stages thresholds are optimized the global detector takes the advantages of the two detection schemes. Unfortunately to optimize the detection thresholds working SNR must be known.

With the almost equal title TWO-STAGE SPECTRUM DETECTION IN COGNITIVE RADIO NETWORKS Siavash Fazeli-Dehkordy et al. present a different idea. The authors propose to use energy detection in both detection stages in order to reduce the average empty channel search time. The first stage is short and defides if a channel is candidate for a (longer) second test.

Similarly, ADAPTIVE SPECTRUM SENSING FOR AGILE COGNITIVE RADIOS by Ali Tajer et al. proposes an adaptive sensing scheme for the band of interest based on discarding first the clearly ocuppied channels in order to concentrate sensing resources in the remaining doubtful channels. As oposed to the previous paper, it estimates the set of empty channels and not only one empty channel.

Seung-Jun Kim et al. pose the problem of determining the best sensing strategy for a band with multiple channels, taking into account that when sensing is performed not useful transmission is performed by the secondary system. This paper entitled SEQUENTIAL COOPERATIVE SENSING FOR MULTI-CHANNEL COGNITIVE RADIOS was presented by G. Giannakis in a heavy lecture.

The paper WIDEBAND SPECTRAL ESTIMATION FROM COMPRESSED MEASUREMENTS EXPLOITING SPECTRAL A PRIORI INFORMATION IN COGNITIVE RADIO SYSTEMS by G Vazquez-Vilar (that's me) et al. poses the estimation (and as a byproduct detection) of multiple primary signals from compressed meassurements. As opposed to other compressed sampling (CS) reconstruction schemes the paper starts with the MAP estimator derivation and incidentally produces a formulation similar to other CS methods. A (quite trivial) greedy approach is used to deal with the norm 0 term.

The work presented in COMPRESSIVE DETECTION FOR WIDE-BAND SPECTRUM SENSING by Veria Havary-Nassab et al. proposes a wideband detector of spectral holes. To this end wideband signal is fed into a set of random overlapping filters, then the energies of the filter outputs are used as compressed measurements to reconstruct the signal energy in each channel. The white spaces are then detected by comparing the energy vector with a given threshold.

Collaborative spectrum sensing

The paper COLLABORATIVE SPECTRUM SENSING FROM SPARSE OBSERVATIONS USING MATRIX COMPLETION FOR COGNITIVE RADIO NETWORKS by Jia (Jasmine) Meng et al. assumes multiple nodes taking a linear combination of the sparse signals to estimate. To guarantee the sparsity of the solution the estimation is performed based on a nuclear norm minimization algorithm robust to transmission loss of measurements matrix entries.

To finish with this long post a comment on two last papers. While BANDWIDTH EFFICIENT COMBINATION FOR COOPERATIVE SPECTRUM SENSING IN COGNITIVE RADIO NETWORKS by Xiangwei Zhou et al. studies the possibility of combining likelihoods on the air to increase the bandwidth efficiency of the transmission of sensing data obtained by multiple cognitive nodes; the work in DIVERSITY-BASED SPECTRUM SENSING POLICY FOR DETECTING PRIMARY SIGNALS OVER MULTIPLE FREQUENCY BANDS by Jan Oksanen et al. proposes a cooperative spectrum sensing scheme that facilitates mitigating the effects of shadowing and fading through spatial diversity.

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Mar 10, 2010

Cognitive Radio at ICASSP 2010

ICASSP 2010In the ICASSP's technical program we can find a bunch of sessions related with cognitive radio. Since I will be attending these sessions I decided to elaborate a list (to be completed with my impressions during the conference in the series of posts about the ICASSP 2010).

SPCOM-L1: Spectrum Sensing for Cognitive Radio I

  • TWO-STAGE SPECTRUM SENSING FOR COGNITIVE RADIOS
    Sina Maleki, Ashish Pandharipande, Geert Leus

  • SEQUENTIAL COOPERATIVE SENSING FOR MULTI-CHANNEL COGNITIVE RADIOS
    Seung-Jun Kim, Georgios Giannakis

  • MULTIANTENNA SPECTRUM SENSING: DETECTION OF SPATIAL CORRELATION AMONG TIME-SERIES WITH UNKNOWN SPECTRA
    David Ramirez, Javier Via, Ignacio Santamaria, Roberto Lopez-Valcarce, Louis L. Scharf

  • WIDEBAND SPECTRAL ESTIMATION FROM COMPRESSED MEASUREMENTS EXPLOITING SPECTRAL A PRIORI INFORMATION IN COGNITIVE RADIO SYSTEMS
    Gonzalo Vazquez-Vilar, Roberto Lopez-Valcarce, Carlos Mosquera, Nuria Gonzalez-Prelcic

  • SEMI-BLIND LOCALLY OPTIMUM DETECTION FOR SPECTRUM SENSING IN COGNITIVE RADIO
    Marco Cardenas-Juarez, Mounir Ghogho, Ananthram Swami

  • ADAPTIVE SPECTRUM SENSING FOR AGILE COGNITIVE RADIOS
    Ali Tajer, Rui Castro, Xiaodong Wang



SPCOM-P1: Spectrum Sensing for Cognitive Radio II

  • A PERFORMANCE STUDY OF NOVEL SEQUENTIAL ENERGY DETECTION METHODS FOR SPECTRUM SENSING
    Nikhil Kundargi, Ahmed Tewfik

  • COMPRESSIVE DETECTION FOR WIDE-BAND SPECTRUM SENSING
    Veria Havary-Nassab, Sadiq Hassan, Shahrokh Valaee

  • COUNTERING BYZANTINE ATTACKS IN COGNITIVE RADIO NETWORKS
    Ankit Rawat, Priyank Anand, Hao Chen, Pramod Varshney

  • SPECTRAL COVARIANCE FOR SPECTRUM SENSING, WITH APPLICATION TO IEEE 802.22
    Jaeweon Kim, Jeffrey Andrews

  • AM-SIGNAL DETECTION IN COGNITIVE RADIOS USING FIRST-ORDER CYCLOSTATIONARITY
    Yi Zhou, Khalid Qaraqe, Erchin Serpedin, Octavia Dobre

  • SPECTRUM SENSING OF ORTHOGONAL SPACE-TIME BLOCK CODED SIGNALS WITH MULTIPLE RECEIVE ANTENNAS
    Erik Axell, Erik G. Larsson

  • COLLABORATIVE SPECTRUM SENSING FROM SPARSE OBSERVATIONS USING MATRIX COMPLETION FOR COGNITIVE RADIO NETWORKS
    Jia (Jasmine) Meng, Wotao Yin, Husheng Li, Ekram Hossain, Zhu Han

  • TWO-STAGE SPECTRUM DETECTION IN COGNITIVE RADIO NETWORKS
    Siavash Fazeli-Dehkordy, Konstantinos Plataniotis, Subbarayan Pasupathy

  • PARAMETER ESTIMATION OF MULTIPLE PULSE TRAINS FOR ILLUMINATION SENSING
    Hongming Yang, Tim Schenk, Jan Bergmans, Ashish Pandharipande

  • BANDWIDTH EFFICIENT COMBINATION FOR COOPERATIVE SPECTRUM SENSING IN COGNITIVE RADIO NETWORKS
    Xiangwei Zhou, Geoffrey Li, Dongdong Li, Dandan Wang, Anthony Soong

  • DIVERSITY-BASED SPECTRUM SENSING POLICY FOR DETECTING PRIMARY SIGNALS OVER MULTIPLE FREQUENCY BANDS
    Jan Oksanen, Visa Koivunen, Jarmo Lundén, Anu Huttunen


SPCOM-L3: Cognitive Radio, Resource Allocation, and Game Theory

  • DESIGN OF COGNITIVE RADIO SYSTEMS UNDER TEMPERATURE-INTERFERENCE CONSTRAINTS: A VARIATIONAL INEQUALITY APPROACH
    Jong-Shi Pang, Gesualdo Scutari, Daniel P. Palomar, Francisco Fracchinei

  • COMPETITIVE SPECTRUM SHARING IN SYMMETRIC FADING CHANNEL WITH INCOMPLETE INFORMATION
    Yair Noam, Amir Leshem, Hagit Messer

  • CONCAVE RESOURCE ALLOCATION PROBLEMS FOR INTERFERENCE COUPLED WIRELESS SYSTEMS
    Holger Boche, Siddharth Naik, Tansu Alpcan

  • A STACKELBERG GAME APPROACH TO DISTRIBUTED SPECTRUM MANAGEMENT
    Meisam Razaviyayn, Yao Morin, Zhi-Quan Luo

  • DISTRIBUTED LEARNING IN COGNITIVE RADIO NETWORKS: MULTI-ARMED BANDIT WITH DISTRIBUTED MULTIPLE PLAYERS
    Keqin Liu, Qing Zhao

  • DISTRIBUTED JOINT POWER AND ADMISSION CONTROL FOR AD-HOC AND COGNITIVE UNDERLAY NETWORKS
    Ioannis Mitliagkas, Nicholas Sidiropoulos, Ananthram Swami


Also related to my research:
SPTM-P5: Compressive Sensing

  • QUANTIZATION CONSTRAINED CONVEX OPTIMIZATION FOR THE COMPRESSIVE SENSING RECONSTRUCTIONS
    Dong Sik Kim

  • TIME DELAY ESTIMATION: COMPRESSED SENSING OVER AN INFINITE UNION OF SUBSPACES
    Kfir Gedalyahu, Yonina C. Eldar

  • ADAPTIVE STRUCTURED RECOVERY OF COMPRESSIVE SENSING VIA PIECEWISE AUTOREGRESSIVE MODELING
    Xiaolin Wu, Xiangjun Zhang

  • $\ELL_1$ OPTIMIZATION AND ITS VARIOUS THRESHOLDS IN COMPRESSED SENSING
    Mihailo Stojnic

  • NOVEL ROBUST GAUSSIANITY TEST FOR SPARSE DATA
    Lu Lu, Kun Yan, Hsiao-Chun Wu

  • BLOCK-LENGTH DEPENDENT THRESHOLDS FOR $\ELL_2/\ELL_1$-OPTIMIZATION IN BLOCK-SPARSE COMPRESSED SENSING
    Mihailo Stojnic

  • A SMOOTHED ANALYSIS APPROACH TO $\ELL_1$ OPTIMIZATION IN COMPRESSED SENSING
    Mihailo Stojnic

  • MODIFIED BASIS PURSUIT DENOISING(MODIFIED-BPDN) FOR NOISY COMPRESSIVE SENSING WITH PARTIALLY KNOWN SUPPORT
    Wei Lu, Namrata Vaswani

  • SENSITIVITY TO BASIS MISMATCH IN COMPRESSED SENSING
    Yuejie Chi, Ali Pezeshki, Louis Scharf, Robert Calderbank

  • COMPRESSIVE SENSING OF A SUPERPOSITION OF PULSES
    Chinmay Hegde, Richard Baraniuk

  • TOWARDS IMPROVING $\ELL_1$ OPTIMIZATION IN COMPRESSED SENSING
    Mihailo Stojnic

  • EMPIRICAL QUANTIZATION FOR SPARSE SAMPLING SYSTEMS
    Michael Lexa

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Mar 2, 2010

TV-Band White Spaces Database Providers

To complement last week's entry on Google's White Spaces Database Proposal I include here the complete list of proposals for databases for Cognitive Radio Devices:

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