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Convolution and Spectra
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Convolution and Spectra
SAMPLED DATA AND Z-TRANSFORMS
Linear superposition
Convolution with Z-transform
Dissecting systems by factoring
Convolution equation and program
Negative time
FOURIER SUMS
Superposition of sinusoids
Sampled time and Nyquist frequency
Fourier sum
FOURIER AND Z-TRANSFORM
Unit circle
Differentiator
Gaussian examples
Complex roots
Inverse Z-transform
CORRELATION AND SPECTRA
Spectra in terms of Z-transforms
Two ways to compute a spectrum
Common signals
Spectra of complex-valued signals
Time-domain conjugate
Spectral transfer function
Crosscorrelation
Matched filtering
About this document ...
Stanford Exploration Project
10/21/1998