Title :
Synthesis of discrete-time discrete-frequency Wigner distribution
Author :
Nelatury, Sudarshan Rao ; Mobasseri, Bijan G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Villanova Univ., PA, USA
Abstract :
A recursive algorithm is proposed for synthesizing a discrete-time periodic signal from a specified discrete-time discrete-frequency Wigner distribution by minimizing the error in the cyclic outer product. Equating the gradient of the error with respect to signal samples to zero results in a set of nonlinear simultaneous equations, which are solved using Newton-Raphson´s method. A simulation example is given showing the synthesized signal over the first few iterations.
Keywords :
Newton-Raphson method; Wigner distribution; discrete time systems; minimisation; nonlinear equations; recursive estimation; signal sampling; signal synthesis; Newton-Raphson method; cyclic outer product; discrete-time discrete-frequency Wigner distribution; discrete-time periodic signal; error gradient; error minimization; iterations; nonlinear simultaneous equations; recursive algorithm; signal samples; signal synthesis; simulation; Frequency domain analysis; Frequency synthesizers; Inverse problems; Nonlinear equations; Recursive estimation; Signal processing; Signal synthesis; Time frequency analysis; Watermarking;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.814391
