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( programming ) Construct a random, length - 1 0 2 4 , zero - mean, 1 - variance AR - 1 sequence array with
programming Construct a random, length zeromean, variance AR sequence array with You may use "rand" function of Matlab with appropriate parameters in a for loop during the generation of this random sequence with given statistics. Theoretically, the autocorrelation matrix of this process is expected to be close to: You are supposed to construct the matrix both from the above theoretical autocorrelation, and from the numerical approximation of dots, by multiplying corresponding shifted samples and averaging: average through your generated data. You need to find the eigenvectors corresponding to largest eigenvalues of the two cases of the autocorrelation matrices to construct the basis matrix: and then evaluate Plot the basis images with proper scaling for a nice grayscale image output of both cases by taking the outer products of columns of Finally, plot the basis images for the x DCT transform. Are the above basis images similar to DCT basis images? Which would you prefer? Why?
programming Construct a random, length zeromean, variance AR sequence array with
You may use "rand" function of Matlab with appropriate parameters in a for loop during
the generation of this random sequence with given statistics. Theoretically, the autocorrelation
matrix of this process is expected to be close to:
You are supposed to construct the matrix both from the above theoretical
autocorrelation, and from the numerical approximation of dots, by multiplying
corresponding shifted samples and averaging: average through your
generated data.
You need to find the eigenvectors corresponding to largest eigenvalues of the two cases of the
autocorrelation matrices to construct the basis matrix: and then evaluate
Plot the basis images with proper scaling for a nice grayscale image output of both cases by
taking the outer products of columns of
Finally, plot the basis images for the x DCT transform. Are the above basis images similar to
DCT basis images? Which would you prefer? Why?
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