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1. For P(a1)=0.2, P(a2)=0.3, P(a3)=0.5, find the real tag for the sequence {a1, a1, a3, a2, a3 , a1} using arithmetic coding.

2. For P(a1)=0.2, P(a2)=0.3, P(a3)=0.5, decode sequence of length 10 with tag 0.63215699.

3. Given an initial dictionary consisting of the letters a, b, r, y, _, encode the following message using LZW algorithm:

a_bar_array_by_barrayar_bay

4. a. Use 1-st order DPCM to encode the sequence 10  11  12  11  12  13  12  11

b. Use the 1-st order DPCM to encode the sequence 10  -10  8  -7  8  -8  7  -7

Find a better predictor for this sequence and perform the DPCM again.

5. Calculate the 2-D 4x4 DCT of the image block as shown [1 2 3 4; 2 3 4 3; 3 4 3 2; 4 3 2 1] (matrix)

Computer Engineering, Engineering

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