The Fourier Transform and Its Applications |
Contents
The Fourier transform and Fouriers integral theorem | 6 |
Oddness and evenness | 13 |
Chapter 5 | 22 |
Copyright | |
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Abel transform abscissa amplitude antenna aperture applied autocorrelation function autocorrelation width behavior calculate central ordinate coefficients complex components consider convergence convolution integral convolution theorem cosine defined derivative discontinuity discrete distribution electrical energy equal equivalent width example exponential expression factor filter finite difference follows formula Fourier series Fourier transform frequency function f(x Gaussian Gaussian function given Hankel transform harmonic Hence Hilbert transform II(x III(x IIIƒ imaginary impulse response impulse symbol infinite input interpolation interval Laplace transform limit linear multiplication notation odd function origin output periodic function phase physical plane power spectrum problem pulse quantity rectangle function result running mean sampling theorem sequence serial product shift theorem Show signal sinc sinc² sine slope spectra theory tion transform pairs two-dimensional V₁(t values variable voltage waveform zero