Title
Spectral Domain Noise Modeling In Compressive Sensing-Based Tonal Signal Detection
Abstract
Tonal signals are shown as spectral peaks in the frequency domain. When the number of spectral peaks is small and the spectral signal is sparse, Compressive Sensing (CS) can be adopted to locate the peaks with a low-cost sensing system. In the CS scheme, a time domain signal is modelled as y = Phi F-1 s, where y and s are signal vectors in the time and frequency domains. In addition, F-1 and Phi are an inverse DFT matrix and a random-sampling matrix, respectively. For a given y and Phi, the CS method attempts to estimate s with l(0) or l(1) optimization. To generate the peak candidates, we adopt the frequency-domain information of , where is the extended version of y and (n) is zero when n is not elements of CS time instances. In this paper, we develop Gaussian statistics of. That is, the variance and the mean values of are examined.
Year
DOI
Venue
2015
10.1587/transfun.E98.A.1122
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
compressive sensing, tonal signal detection, noise modeling
Noise floor,Detection theory,Speech recognition,Mathematics,Compressed sensing
Journal
Volume
Issue
ISSN
E98A
5
0916-8508
Citations 
PageRank 
References 
0
0.34
2
Authors
4
Name
Order
Citations
PageRank
Chenlin Hu100.34
Jin Young Kim249781.76
Seung Ho Choi34612.72
Chang-Joo Kim415320.04