Title
Generalized Random Demodulator Associated with Fractional Fourier Transform.
Abstract
The analog-to-information conversion may be unable to provide satisfactory results when signals of interest show better sparsity in the fractional Fourier domain. In this paper, we redesign the random demodulator to sample generalized bandlimited signals. The fractional Fourier transform and fractional shift-invariant operator are applied to establish a relationship between time-frequency representations and observation vector. The mixing vector constructed by random phase sequence has been shown satisfying the incoherent condition. The reconstruction of representation is based on the orthogonal matching pursuit. The performance of the proposed sampling method is verified by the probability of successful reconstruction and mean squared error.
Year
DOI
Venue
2018
10.1007/s00034-018-0785-9
CSSP
Keywords
Field
DocType
Fractional Fourier transform,Generalized bandlimited signal,Random demodulator,Compressed sensing,Fractional shift-invariant operator
Matching pursuit,Demodulation,Bandlimiting,Control theory,Algorithm,Mean squared error,Fourier transform,Sampling (statistics),Fractional Fourier transform,Mathematics,Compressed sensing
Journal
Volume
Issue
ISSN
37
11
0278-081X
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Haoran Zhao122.09
Liyan Qiao2146.05
Jingchao Zhang3154.31
Ning Fu4159.20