Title :
Time-Varying Spectral Approximation of Filtered Signals
Author :
Loughlin, Patrick
Author_Institution :
Departments of Electr. & Comput. Eng., Univ. of Pittsburgh, PA
Abstract :
An approximation of the time-varying (Wigner) spectrum of a filtered signal is presented. The approximation is simple to apply, yet insightful, in that it shows the effects of the magnitude and phase of the frequency response of the filter on the time-frequency properties of the signal. In addition, the approximation yields the correct Fourier spectrum of the filtered signal, to within a complex constant
Keywords :
Fourier transforms; approximation theory; filtering theory; frequency response; time-frequency analysis; time-varying filters; Fourier spectrum; filtered signal; frequency response; time-frequency property; time-varying spectral approximation; Delay; Electromagnetic propagation; Filtering; Frequency response; Nonlinear filters; Optical filters; Optical propagation; Optical signal processing; Sonar; Time frequency analysis; Group delay; Wigner distribution; instantaneous frequency; linear time-invariant (LTI) filtering; time-frequency analysis;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.875349
