Time-frequency signal processing based on the Wigner-Weyl framework
Signal Processing
Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Matrix computations (3rd ed.)
Gabor Analysis and Algorithms: Theory and Applications
Gabor Analysis and Algorithms: Theory and Applications
Multiple-clock-cycle architecture for the VLSI design of a system for time-frequency analysis
EURASIP Journal on Applied Signal Processing
An efficient hardware design of an optimal nonstationary filtering system
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Performance of quadratic time-frequency distributions as instantaneous frequency estimators
IEEE Transactions on Signal Processing
Auto-term representation by the reduced interference distributions: a procedure for kernel design
IEEE Transactions on Signal Processing
Convergence of an iterative time-variant filtering based ondiscrete Gabor transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Discrete multiwindow Gabor-type transforms
IEEE Transactions on Signal Processing
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In this paper we develop a multiple-clock-cycle signal adaptive hardware design of an optimal nonstationary (time-varying) filtering system. The proposed design is based on the real-time results of time-frequency (TF) analysis and the estimation of instantaneous frequency (IF). It permits multiple detection of the local filter's region of support (FRS) in the observed increment of time, resulting in the efficient filtering of multicomponent frequency modulated (FM) signals. The proposed design takes a variable number of clock (CLK) cycles---the only necessary ones regarding the highest quality of IF estimation---in different TF points within the execution. In this way it allows the implemented system to optimize the computational cost, as well as the time required for execution. Further, the proposed serial design optimizes critical design performances, related to the hardware complexity, making it a suitable system for real-time implementation on an integrated chip. Also, by applying the pipelining technique, it allows overlapping between different TF points within the execution, additionally improving the time required for time-varying filtering. The design has been verified by a field-programmable gate array (FPGA) circuit design, capable of performing filtering of nonstationary FM signals in real-time.