Proceedings ArticleDOI
A new approach to near-theoretical sampling rate for modulated wideband converter
S. Abhijith Varma,K.M.M. Prabhu +1 more
- pp 1-5
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TLDR
A new greedy algorithm is proposed, which exploits the clustered sparse structure of the multiband signals to sample at near-theoretical rates and the simulation results supporting the better performance of the algorithm are presented.Abstract:
For a multiband signal, the minimum sampling rate required for an arbitrary sampling method, which allows perfect reconstruction, is NB, where N is the number of bands and B is the maximum bandwidth. It has been proposed in the literature that, if the carrier frequency information of a multiband signal is not known apriori, then we require a minimum sampling rate of 2NB for perfect reconstruction. Modulated wideband converter (MWC) is a recently introduced blind sampling method. Unlike the traditional sampling methods, where the continuous-time signal can be expressed in terms of samples using simple Whittaker-Shannon interpolation, there is no closed-form expression relating the samples generated by MWC and the continuous-time signal. In order to reconstruct the signal, we require compressive sensing (CS) algorithm. The CS algorithm, simultaneous orthogonal matching pursuit (SOMP) used in the reconstruction stage requires a minimum rate of 4N B log(M/2N), which is nearly twice the theoretical rate. In this paper, we propose a new greedy algorithm, which exploits the clustered sparse structure of the multiband signals to sample at near-theoretical rates. The simulation results supporting the better performance of our algorithm are also presented.read more
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Journal ArticleDOI
Sub-Nyquist Spectrum Sensing of Sparse Wideband Signals Using Low-Density Measurement Matrices
Yash Vasavada,Chandra Prakash +1 more
TL;DR: The problem of wideband spectrum sensing/sampling in the sub-Nyquist domain is solved in this paper using sparse (low-density) binary-valued measurement matrices to achieve an efficient compression ratio and improve the signal reconstruction performance.
Journal ArticleDOI
Intentional Aliasing Method to Improve Sub-Nyquist Sampling System
TL;DR: In this paper, an aliased modulated wideband converter (AMWC) is proposed to induce intentional signal aliasing at the analog-to-digital converter (ADC).
References
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Journal ArticleDOI
Blind Multiband Signal Reconstruction: Compressed Sensing for Analog Signals
Moshe Mishali,Yonina C. Eldar +1 more
TL;DR: This paper describes how to choose the parameters of the multi-coset sampling so that a unique multiband signal matches the given samples, and develops a theoretical lower bound on the average sampling rate required for blind signal reconstruction, which is twice the minimal rate of known-spectrum recovery.
Posted Content
Blind Multi-Band Signal Reconstruction: Compressed Sensing for Analog Signals
Moshe Mishali,Yonina C. Eldar +1 more
TL;DR: In this article, a non-linear blind perfect reconstruction scheme for multi-band signals was proposed, which does not require the band locations and assumes an existing blind multi-coset sampling method.
Journal ArticleDOI
Rank Awareness in Joint Sparse Recovery
Michael Davies,Yonina C. Eldar +1 more
TL;DR: This paper revisits the sparse multiple measurement vector (MMV) problem, where the aim is to recover a set of jointly sparse multichannel vectors from incomplete measurements and demonstrates that the rank aware techniques are significantly better than existing methods in dealing with multiple measurements.
Posted Content
Rank Awareness in Joint Sparse Recovery
Michael Davies,Yonina C. Eldar +1 more
TL;DR: In this article, rank-aware algorithms for sparse multiple measurement vector (MMV) problems were proposed and compared with rank-blind algorithms, such as SOMP and mixed norm minimization techniques.
Journal ArticleDOI
Periodically nonuniform sampling of bandpass signals
Yuan-Pei Lin,P.P. Vaidyanathan +1 more
TL;DR: It is shown that PNS(2) can be generalized and applied to a wider class, and Periodically Nonuniform Sampling of Lth-order [PNS(L)] will be developed and used to recover a broader class of band-limited signal.