NON-UNIFORM SAMPLING FOR SPECTRAL ANALYSIS OF MULTI-BAND SIGNALS

Recently, sub-Nyquist sampling of wideband signals has gained much attention in wireless communications. One of the main reasons for this popularity is the reduction in energy consumption in the ADCs. In this paper, we present an overview of the best known non-uniform sub-Nyquist sampling techniques and the associated spectral analysis. Spectral analysis using sub-Nyquist samples can be done in two ways. We can reconstruct the original Nyquist samples from the sub-Nyquist samples and then by using Fourier transform we can obtain the estimated power spectral density using classical methods like Welch method. We can also obtain the power spectral estimate directly from the sub-Nyquist samples without reconstructing the Nyquist samples. Both approaches can be used based on the application.

[1]  André Bourdoux,et al.  Sparse signal sensing with non-uniform undersampling and frequency excision , 2011, 2011 6th International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM).

[2]  Yoram Bresler,et al.  Perfect reconstruction formulas and bounds on aliasing error in sub-nyquist nonuniform sampling of multiband signals , 2000, IEEE Trans. Inf. Theory.

[3]  Daniel Le Guennec,et al.  Dynamic Single Branch Non-Uniform Sampler , 2013, 2013 18th International Conference on Digital Signal Processing (DSP).

[4]  Ping Feng,et al.  Spectrum-blind minimum-rate sampling and reconstruction of multiband signals , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[5]  Claude D'Amours,et al.  A novel reduced power compressive sensing technique for wideband cognitive radio , 2012, EURASIP J. Wirel. Commun. Netw..

[6]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[7]  Moslem Rashidi Avendi Non-uniform sampling and reconstruction of multi-band signals and its application in wideband spectrum sensing of cognitive radio , 2010 .

[8]  Yoram Bresler,et al.  Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals , 2001, IEEE Trans. Signal Process..

[9]  M. B. Romdhane Echantillonnage non uniforme appliqué à la numérisation des signaux radio multistandard , 2009 .

[10]  Y. Bresler Spectrum-blind sampling and compressive sensing for continuous-index signals , 2008, 2008 Information Theory and Applications Workshop.

[11]  Georgios B. Giannakis,et al.  A Wavelet Approach to Wideband Spectrum Sensing for Cognitive Radios , 2006, 2006 1st International Conference on Cognitive Radio Oriented Wireless Networks and Communications.

[12]  H. Landau Necessary density conditions for sampling and interpolation of certain entire functions , 1967 .

[13]  Yonina C. Eldar,et al.  From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals , 2009, IEEE Journal of Selected Topics in Signal Processing.

[14]  Hamidou Tembine,et al.  Radio Engineering: From Software Radio to Cognitive Radio , 2011 .