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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
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
FT AS AN INVERTIBLE MATRIX
The Nyquist frequency
Convolution in one domain...
Inverse Z-transform
SYMMETRIES
Laying out a mesh
CORRELATION AND SPECTRA
Spectra in terms of Z-transforms
Two ways to compute a spectrum
The comb function
Undersampled field data
Common signals
Spectral transfer function
About this document ...
Stanford Exploration Project
3/1/2001
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