Title :
An algorithm for synthesizing signals from partial time-frequency models using the cross Wigner distribution
Author :
McHale, T.J. ; Boudreaux-Bartels, G.F.
Author_Institution :
Raytheon Co., Portsmouth, RI, USA
fDate :
5/1/1993 12:00:00 AM
Abstract :
A weighted-least-square error criterion that optimally synthesizes a signal when only part of the desired time-frequency model is available is formulated for time-frequency synthesis. The partial model occurs frequently in situations in which the ideal synthesis model has been truncated by a time-varying mask in order to exclude unwanted signal components or when knowledge of the true time or frequency support of the ideal model is unknown. A cross-Wigner-distribution (CWD) synthesis algorithm is developed from the weighted-least-square error criterion and compared with existing Wigner distribution (WD) synthesis algorithms. The algorithm is also shown to be useful when interference or cross terms hinder the use of the quadratic auto-Wigner-distribution (AWD) for signal synthesis
Keywords :
least squares approximations; signal synthesis; statistical analysis; time-frequency analysis; cross Wigner distribution; partial time-frequency models; signal synthesis algorithm; weighted-least-square error criterion; Approximation algorithms; Filtering algorithms; Frequency synthesizers; Least squares approximation; Least squares methods; Signal processing algorithms; Signal resolution; Signal synthesis; Time frequency analysis; Underwater vehicles;
Journal_Title :
Signal Processing, IEEE Transactions on