Title
Robust multicomponent LFM signals synthesis algorithm based on masked ambiguity function
Abstract
Wigner distribution (WD) based multiple components linear frequency modulation (LFM) signal synthesis method (SSM) is often adversely affected by cross-terms. Masked WD (MWD) is one of the widely used cross-term suppression techniques in practice due to its simplicity and efficiency. However, the cross-terms are hardly masked out when auto-terms and cross-terms are overlapped (Case I) or the components are very close to each other in the time-frequency (TF) plane (Case II). To solve these problems, we present a robust ambiguity function (AF) based approach for multicomponent signals synthesis. This algorithm consists of two stages. First, a SSM from the AF is proposed according to matrix rearrangement and eigenvalue decomposition. However, the existence of cross-term makes the signal synthesis entirely erroneous. To settle this issue, we present a masked AF (MAF) algorithm based on Radon and its inverse transforms in the second stage. Applying the presented algorithm, multicomponent signals can be synthesized efficiently even in Case I and Case II. Simulation results demonstrate the effectiveness and feasibility of the proposed algorithm.
Year
DOI
Venue
2015
10.1016/j.dsp.2015.04.003
Digital Signal Processing
Keywords
Field
DocType
Multicomponent signals,Signal decomposition,Signal synthesis,Ambiguity function,Radon transform
Ambiguity function,Inverse,Wigner distribution function,Pattern recognition,Matrix (mathematics),Algorithm,Eigendecomposition of a matrix,Signal synthesis,Artificial intelligence,Frequency modulation,Radon transform,Mathematics
Journal
Volume
Issue
ISSN
44
C
1051-2004
Citations 
PageRank 
References 
2
0.37
14
Authors
6
Name
Order
Citations
PageRank
Jia Su1121.24
Haihong Tao2162.30
Xuan Rao3383.50
Jian Xie4318.39
Dawei Song520.37
Cao Zeng6434.65