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(a) For fo = 1/50 and N = 200, write a program to quantize the signal x(n), using truncation, to 64, 128, and 256 quantization levels In each case plot the signals x(n), tg(n), and e(n) and compute the corresponding SQNR. (b) Repeat part (a) by using rounding instead of truncation. (c) Comment on the results obtained in parts (a) and (b).

(a) For fo = 1/50 and N = 200, write a program to quantize the signal x(n), using truncation, to 64, 128, and 256 quantization levels In each case plot the signals x(n), tg(n), and e(n) and compute the corresponding SQNR. (b) Repeat part (a) by using rounding instead of truncation. (c) Comment on the results obtained in parts (a) and (b).

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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1.16 Quantization enor in A/D conversion of a sinusoidal signal Let x,(n) be the signal obtained by quantizing the signal x(n) = sin 27 fon. The quantization error power P, is defined by N-1 N-1 1 (n) = E (n) – x(n)) The "quality" of the quantized signal can be measured by the signal-to-quantization noise ratio (SQNR) defined by SONR = 10log10 Pa where P, is the power of the unquantized signal x(n). (a) For fo = 1/50 and N 200, write a program to quantize the signal x(n), using truncation, to 64, 128, and 256 quantization levels In each case plot the signals x(n), 1q(n), and e(n) and compute the corresponding SQNR. (b) Repeat part (a) by using rounding instead of truncation. (c) Comment on the results obtained in parts (a) and (b). (d) Compare the experimentally measured SQNR with the theoretical SQNR pre- dicted by formula (14.32) and comment on the differences and similarities.
Transcribed Image Text:1.16 Quantization enor in A/D conversion of a sinusoidal signal Let x,(n) be the signal obtained by quantizing the signal x(n) = sin 27 fon. The quantization error power P, is defined by N-1 N-1 1 (n) = E (n) – x(n)) The "quality" of the quantized signal can be measured by the signal-to-quantization noise ratio (SQNR) defined by SONR = 10log10 Pa where P, is the power of the unquantized signal x(n). (a) For fo = 1/50 and N 200, write a program to quantize the signal x(n), using truncation, to 64, 128, and 256 quantization levels In each case plot the signals x(n), 1q(n), and e(n) and compute the corresponding SQNR. (b) Repeat part (a) by using rounding instead of truncation. (c) Comment on the results obtained in parts (a) and (b). (d) Compare the experimentally measured SQNR with the theoretical SQNR pre- dicted by formula (14.32) and comment on the differences and similarities.
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