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Resolution and random signals
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Resolution and random signals
TIME-FREQUENCY RESOLUTION
A misinterpretation of the uncertainty principle
Measuring the time-bandwidth product
The uncertainty principle in physics
Gabor's proof of the uncertainty principle
My rise-time proof of the uncertainty principle
Proof by way of the dual problem
FT OF RANDOM NUMBERS
Bandlimited noise
TIME-STATISTICAL RESOLUTION
Ensemble
Expectation and variance
Probability and independence
Sample mean
Variance of the sample mean
SPECTRAL FLUCTUATIONS
Paradox: large n vs. the ensemble average
An example of the bandwidth/reliability tradeoff
Spectral estimation
CROSSCORRELATION AND COHERENCY
Correlation
Coherency
The covariance matrix of multiple signals
Bispectrum
SMOOTHING IN TWO DIMENSIONS
Tent smoothing
Gaussian mounds
Speed of 2-D Gaussian smoothing
PROBABILITY AND CONVOLUTION
THE CENTRAL-LIMIT THEOREM
About this document ...
Stanford Exploration Project
10/21/1998
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