6_HW6Solutions

6_HW6Solutions - and 0.99. Comment on the resulting plot....

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1 EE 211A Digital Image Processing I Fall Quarter, 2011 Handout 20 Instructor: John Villasenor Homework 6 Solutions Solutions: 1. a) , , , , b) We can verify the answer as follow:
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2 2. Derive, in terms of ρ , the variance of so that . For N = 16, plot versus m for KLT, DCT, and DFT with ρ =0.95. Comment on the resulting plot. The DCT and KL energy packing efficiencies are very close, and both are superior to the DFT.
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3 For N = 16, plot log( of KLT of DCT ) versus m with ρ =0.5, 0.9, 0.95,
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Unformatted text preview: and 0.99. Comment on the resulting plot. (If you use MATLAB, you can use the command semilogy instead of taking logarithm of .) As expected, for higher correlation, the difference between KL and DCT is smaller. Even for relatively low correlations, however, the difference is quite small. Thus, the assumption that the DCT is approximately as efficient as the KL transform in energy packing is quite accurate. 4 Plot of ( of KLT of DCT ) versus with m =1, 2, 4, and 8....
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6_HW6Solutions - and 0.99. Comment on the resulting plot....

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