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Homework 3 (Due: 5/16 th )

Homework 3 (Due: 5/16 th ). Write the Matlab program for the 4:2:0 image compression technique . B = C420(A), A is the input color image and B is the reconstructed image .

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Homework 3 (Due: 5/16 th )

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  1. Homework 3 (Due: 5/16th) • Write the Matlab program for the 4:2:0 image compression technique. • B = C420(A), A is the input color image and B is the reconstructed image. • Just use the interpolation method for reconstruction. The Matlab file should be mailed to me. (25 scores) (2) (a) Why the music signals always have the chord phenomena (b) Why the speech signal is harder to recognize than the music signal? (15 scores) (3) Why using the DCT for image compression is more suitable than using the DFT and the KLT ? (10 scores) (4) Suppose that the cepstrum of a signal x[n] is Determine x[n]using the Z transform and exp( ). (10 scores)

  2. (5) (a) Why the normalized root mean square error (NRMSE) may not reflect the similarity between two images? (8 scores) (b) Can the NRMSE measure the similarity between two audio signals? Why? (7 scores) (6) Suppose that P(x = n) = 0.001 ×2n for n = 0, 1, …, 8, P(x = 9) = 0.489. (a) Determine the coding tree for x when using the Huffman code in the trinary (三進位) system. (10 scores) (b) Suppose that length(x) = 10,000. Estimate the range of the total codinglengths in the k-ary (k進位) system when using (i) the Huffman code and (ii) the arithmetic code. (15 scores)

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