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.

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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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