The Fourier Transform and Its ApplicationsGroundwork. Convolution. Notation for some useful functions. The impulse symbol. The basic theorems. Doing transforms. The two domains. Electrical waveforms, spectra, and filters. Sampling and series. The laplace transform. Relatives of the fourier transform. Antennas. Television image formation. Convolution in statistics. Noise waveforms. Heat conduction and diffusion. The discrete fourier transform. The discrete hartley transform. The fast hartley transform. Pictorial dictionary of fourier transforms. Supplementary problems. Tables. |
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Abel transform aperture applied approach autocorrelation behavior calculate central Chapter coefficients complex components condition connection consider convolution corresponding course defined derivative described direction discontinuities discrete distribution electrical energy equal equation equivalent example exists expression fact factor field filter finite follows Fourier transform frequency function function f(x Gaussian given gives Hence illustrated imaginary important impulse infinite input integral interval known Laplace transform limit linear mean measured multiplication normalized notation obtain operation origin output pair periodic phase physical plane positive possible problem Prove pulse quantity reference relation represented response result running sampling sequence serial shift Show shown signal simple sinc space spectrum step symbol Table taking theorem theory tion unit V₁(t values voltage waveform width zero