A General FRI Sampling System for Pulse Streams and the Multichannel Synchronization Method

Pulse streams are a kind of finite rate of innovation (FRI) signal that widely exist in many engineering applications. According to the FRI theory, nonconsecutive sampled Fourier coefficients (FCs) have better parameter estimation effects than the consecutive ones. In this brief, we propose a genera...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 69; no. 12; pp. 4669 - 4673
Main Authors Wei, Zhiliang, Fu, Ning, Jiang, Siyi, Qian, Junhui, Qiao, Liyan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Band-pass filters
Finite rate of innovation
Frequencies
Frequency modulation
Frequency synchronization
frequency-agile radar
Mathematical analysis
Multichannel communication
multichannel synchronization
OMP
Parameter estimation
Pseudorandom sequences
Radar
Radio frequency
Sampling
Streams
subspace method
Synchronism
Synchronization
Technological innovation
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Summary:Pulse streams are a kind of finite rate of innovation (FRI) signal that widely exist in many engineering applications. According to the FRI theory, nonconsecutive sampled Fourier coefficients (FCs) have better parameter estimation effects than the consecutive ones. In this brief, we propose a general FRI sampling system for pulse streams based on multichannel random modulation (MRM). Jointly using multichannel samples, multiple sets of consecutive FCs of distinct frequency bands can be analytically calculated by solving the least-squares problems. The minimum sampling rate for each channel is determined by the number of pulses rather than the pulse bandwidth. The proposed sampling system is general for pulses of distinct frequency bands, and we extend it to the frequency-agile radar (FAR). Besides, the multichannel synchronization problem is analyzed, and a calibration method when the pseudo-random sequences (PRSs) are not synchronized is proposed. Simulation experiments demonstrate the effectiveness of the proposed sampling system.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2022.3196495