Title :
A transform adapted to polynomial phase signals
Author :
Puechmorel, S. ; Lacaze, B.
Author_Institution :
ENSEEIHT, Toulouse, France
Abstract :
We deal with signals of the form A exp(iΣk=0paktk)+b(t) where b(t) is a Gaussian white noise. In order to estimate the highest order coefficient ap, we define a Fourier transform adapted to polynomial phase signals (PPS) with a given degree. The notion of polynomial translation in a quotient space of the field of complex numbers allows the introduction of a theoretical framework in which the classical tools of the signal processing-like convolution and filtering-can be redefined
Keywords :
Fourier transforms; Gaussian noise; filtering theory; polynomials; signal processing; white noise; Fourier transform; Gaussian white noise; complex numbers; convolution; filtering; highest order coefficient; polynomial phase signals; polynomial translation; quotient space; signal processing; Chirp modulation; Convolution; Eigenvalues and eigenfunctions; Fourier transforms; Frequency modulation; Interference; Phase estimation; Polynomials; Radar signal processing; White noise;
Conference_Titel :
Electrotechnical Conference, 1994. Proceedings., 7th Mediterranean
Conference_Location :
Antalya
Print_ISBN :
0-7803-1772-6
DOI :
10.1109/MELCON.1994.381112