The Fast Fourier Transform and Its ApplicationsThe Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field. |
Contents
INTRODUCTION | 1 |
THE FOURIER TRANSFORM | 9 |
FOURIER TRANSFORM PROPERTIES 30 | 30 |
Copyright | |
14 other sections not shown
Common terms and phrases
Acoust aliasing amplitude Analysis antenna Applications array Audio and Electroacoustics bandwidth cepstrum complex compute the FFT continuous Fourier transform convolution result convolution theorem convolved correlation cosine defined determined digital filter discrete convolution discrete Fourier transform domain Equation evaluate Example Fast Fourier Transform FFT algorithm FFT band-pass filter FFT computer FFT convolution FFT filter FFT output FFT results Figure filter bank Fourier trans Fourier transform pair frequency function frequency-domain function h(t function illustrated h(kT Hence IEEE IEEE Trans IEEE Transactions illustrated in Fig imaginary impulse functions impulse response input inverse Fourier transform low-pass filter matrix multiplication node Note number of samples odd function one-dimensional periodic function Proc procedure quadrature rectangular sample interval sample values sampled function shift shown in Fig Signal Processing sinusoid Spectral Speech and Signal Speech Signal Process techniques two-dimensional FFT waveform weighting function x(kT XREAL zero