HW2 - division multiplex the two sequences 5 The 10 sample...

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Signal Compression (ECE 242) April 7, 2011 G i b s o n Homework No. 2 Due on April 14 th 1. Use Eqs. (9.27) and (9.28) to verify the step points and output levels for the 4 level Gaussian quantizer in Table 9.6 of Sayood. 2. Do Problem 1 on page 270 of Sayood. 3. An exact closed form expression for the rate distortion function of a memoryless Gaussian source with zero mean and unit variance subject to the absolute value of the error fidelity criterion cannot be found. However, a lower bound can be developed. Plot the lower bound given by 2 2 1 () l o g , 22 L RD eD πσ = for 2 0 2 D πσ ≤≤ 4. Message m 1 (t) is sampled 8000 times/sec to yield the values 8, 291, 504, 172, -12, - 210, -525, and -268. Message m 2 (t) is similarly sampled to produce 28, 127, 300, 492, 299, 131, 54, and 6. Encode these samples using the table on the next page and time-
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Unformatted text preview: division multiplex the two sequences. 5. The 10 sample values taken from a zero mean, variance 4 Gaussian distribution given by -2, -1.45, -0.2, +0.15, +0.24, +0.68, +2.2, +2.9, +3.6, +3.9, +4.95 are to be quantized using a 16-level MMSE Gaussian quantizer and encoded using a folded binary code. What are the resulting binary sequence and output amplitudes? 6. The uniform and nonuniform quantization tables in Chapter 9 of Sayood are for unit variance inputs. Show that if then we simply scale the quantizer step points and output levels by 2 1 σ > . From J. D. Gibson, Principles of Digital and Analog Communications , 1993....
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HW2 - division multiplex the two sequences 5 The 10 sample...

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