Title :
Hermite polynomials for signal reconstruction from zero-crossings. 1. One-dimensional signals
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India
Abstract :
Generalised Hermite polynomials are employed for the reconstruction of an unknown signal from a knowledge of its zero-crossings, under certain conditions on its spatial/spectral width, but dispensing with the assumption of bandlimitedness. A computational implementation of the proposed method is given for one-variable (or one-dimensional) signals, featuring an application of simulated annealing for optimal reconstruction.<>
Keywords :
polynomials; signal processing; simulated annealing; Hermite polynomials; computational implementation; one-dimensional signals; signal reconstruction; simulated annealing; spatial/spectral width; zero-crossings;
Journal_Title :
Communications, Speech and Vision, IEE Proceedings I