# ans02_05 - 29 29 29 29 29 29 29-= k n x k n x n x k n x n x...

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Question 1 In encoding an 8x8 image block with JPEG the DCT coefficients and Quantization Table are given in figure 1a and figure 1b, respectively. Determine (a) The 8x8 quantized DCT coefficient block. (b) The results of applying zigzag scanning on the quantized coefficients. Figure 1a Figure 1b (a) Quantized DCT block: (b) Result of zigzag scanning:

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Question 2 A sequence of data [ ] [ ] 005 . 0 , 63 . 0 , 293 . 0 , 305 . 0 , 04 . 0 , 1 . 1 , 1 . 2 , 5 . 1 ,.... , 7 1 0 - - - - - = x x x is encoded with a linear predictor given by the expression = - = 3 1 k k n k n x a x . Assuming no quantization error, determine the set of coefficients [ ] 3 2 1 , , a a a so that the subsequence [ ] 7 4 3 ,.... , x x x can be predicted from past data with minimum MSPE . ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29
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Unformatted text preview: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ------------------= k n x k n x n x k n x n x k n x k n x n x n x n x n x n x k n x n x n x n x n x n x E R 2 1 2 2 2 1 2 1 2 1 1 1 ~ (1) ----= 60 . 1 11 . 1 316 . 11 . 1 16 . 1 523 . 316 . 523 . 357 . (2) ( 29 ( 29 [ ] ( 29 ( 29 [ ] ( 29 ( 29 [ ] [ ] T k n x n x E n x n x E n x n x E r---= ,........ , 2 , 1 ~ [ ] T 186 . 015 . 06 .--= (3) From (1) to (3), [ ] T a r R a 272 . 186 . 136 . 1-= ⇒ =-(Answer)...
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## This note was uploaded on 01/11/2011 for the course EE 4115 taught by Professor Waimingtsang during the Spring '10 term at City University of Hong Kong.

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ans02_05 - 29 29 29 29 29 29 29-= k n x k n x n x k n x n x...

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