Title :
An overview of aliasing errors in discrete-time formulations of time-frequency representations
Author :
Costa, Antonio H. ; Boudreaux-Bartels, G. Faye
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts-Dartmouth, North Darmouth, MA, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
Discrete-time time-frequency representation (TFR) algorithms claim to provide alias-free approximations to their continuous-time TFR counterparts without requiring oversampling of the signal By counterexamples, we demonstrate that some of these claims are invalid. We give new necessary conditions for reducing aliasing errors in these discrete-time TFR algorithms
Keywords :
Fourier transforms; Wigner distribution; approximation theory; error analysis; signal representation; signal sampling; spectral analysis; time-frequency analysis; Cohen´s quadratic fixed-kernel class; Fourier transform; TFR algorithms; alias-free approximations; aliasing errors reduction; discrete-time Wigner distribution; discrete-time time-frequency representation; lD spectral representation; necessary conditions; signal sampling; Computer errors; Data analysis; Distributed computing; Fourier transforms; Frequency; Kernel; Signal analysis; Signal processing; Signal sampling; Smoothing methods;
Journal_Title :
Signal Processing, IEEE Transactions on
