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An analog source is sampled and the samples x, are obtained. The samples have a dynamic range [−Xmax,Xmax] = [−4,4]. Assuming the samples have uniform distribution, design a uniform quantizer with N = 16 levels and answer the following questions. a) Determine the quantizer regions R₁ = [a¡, a¡+₁] for i = 1,2, ---, N b) Determine the quantization levels ₁ for i=1,2,..., N c) Assign, natural binary codes (NBC) to the quantizer levels and write the quantization levels and corresponding binary codes as a table. d) Determine the signal to quantization noise ratio (SQNR) for the quantizer.

An analog source is sampled and the samples x, are obtained. The samples have a dynamic range [−Xmax,Xmax] = [−4,4]. Assuming the samples have uniform distribution, design a uniform quantizer with N = 16 levels and answer the following questions. a) Determine the quantizer regions R₁ = [a¡, a¡+₁] for i = 1,2, ---, N b) Determine the quantization levels ₁ for i=1,2,..., N c) Assign, natural binary codes (NBC) to the quantizer levels and write the quantization levels and corresponding binary codes as a table. d) Determine the signal to quantization noise ratio (SQNR) for the quantizer.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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An analog source is sampled and the samples x, are obtained. The samples have a dynamic range [-xmax, Xmax] = [-4, 4]. Assuming the samples have uniform distribution, design a uniform quantizer with N = 16 levels and answer the following questions. a) Determine the quantizer regions R¡ = [a¡, a¡+1] for i = 1,2, . ,N b) Determine the quantization levels & for i = 1,2, ...,N c) Assign, natural binary codes (NBC) to the quantizer levels and write the quantization levels and corresponding binary codes as a table. d) Determine the signal to quantization noise ratio (SQNR) for the quantizer.
Transcribed Image Text:An analog source is sampled and the samples x, are obtained. The samples have a dynamic range [-xmax, Xmax] = [-4, 4]. Assuming the samples have uniform distribution, design a uniform quantizer with N = 16 levels and answer the following questions. a) Determine the quantizer regions R¡ = [a¡, a¡+1] for i = 1,2, . ,N b) Determine the quantization levels & for i = 1,2, ...,N c) Assign, natural binary codes (NBC) to the quantizer levels and write the quantization levels and corresponding binary codes as a table. d) Determine the signal to quantization noise ratio (SQNR) for the quantizer.
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