Title :
Fourier Transform and Ambiguity Function of Piecewise Polynomial Functions
Author_Institution :
Department of Electrical Engineering, University of Alabama, P. O. Box 1247, Huntsville, AL 35807
fDate :
7/1/1977 12:00:00 AM
Abstract :
A general systematic procedure is described for computing the Fourier transform and the ambiguity function of waveforms that are piecewise polynomial. The procedure can be implemented by hand or programmed for execution by a digital computer. The main advantage of the technique is that integration is replaced by a finite summation. Examples include the computation of characteristic function, moments, and the ambiguity function of an amplitude modulated linear FM signal.
Keywords :
Aerodynamics; Amplitude modulation; Electrons; Fourier transforms; Phase locked loops; Phase noise; Polynomials; Random variables; Stochastic processes; Viterbi algorithm;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
DOI :
10.1109/TAES.1977.308478
