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6. Suppose that a digital radio system transmits a band-limited speech signal with magnitude spectrum given below. The speech signal is sampled, quantized, and encoded into a 16-bit PCM signal. a. Sketch the magnitude spectrum of the sampled speech signal from -15 kHz to +15 kHz if we use a sampling rate of 9 kHz. b. Show that the original signal may be recovered exactly from its sampled version, provided that the conditions embodied in the sampling theorem are satisfied. c. Suppose the maximum amplitude of the speech signal is Amax = 1 V. What is the maximum quantization error qm,max? HINT: We used a 16-bit quantizer to encode a symbol. |X(ƒ)| -4kHz -2kHz 2kHz 4kHz Figure 3.

6. Suppose that a digital radio system transmits a band-limited speech signal with magnitude spectrum given below. The speech signal is sampled, quantized, and encoded into a 16-bit PCM signal. a. Sketch the magnitude spectrum of the sampled speech signal from -15 kHz to +15 kHz if we use a sampling rate of 9 kHz. b. Show that the original signal may be recovered exactly from its sampled version, provided that the conditions embodied in the sampling theorem are satisfied. c. Suppose the maximum amplitude of the speech signal is Amax = 1 V. What is the maximum quantization error qm,max? HINT: We used a 16-bit quantizer to encode a symbol. |X(ƒ)| -4kHz -2kHz 2kHz 4kHz Figure 3.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Assume that the signal has values from -Amax to +Amax

6. Suppose that a digital radio system transmits a band-limited speech signal with magnitude spectrum given below. The speech signal is sampled, quantized, and encoded into a 16-bit PCM signal. a. Sketch the magnitude spectrum of the sampled speech signal from -15 kHz to +15 kHz if we use a sampling rate of 9 kHz. b. Show that the original signal may be recovered exactly from its sampled version, provided that the conditions embodied in the sampling theorem are satisfied. c. Suppose the maximum amplitude of the speech signal is Amax = 1 V. What is the maximum quantization error qm,max? HINT: We used a 16-bit quantizer to encode a symbol. |X(ƒ)| -4kHz -2kHz 2kHz 4kHz Figure 3.
Transcribed Image Text:6. Suppose that a digital radio system transmits a band-limited speech signal with magnitude spectrum given below. The speech signal is sampled, quantized, and encoded into a 16-bit PCM signal. a. Sketch the magnitude spectrum of the sampled speech signal from -15 kHz to +15 kHz if we use a sampling rate of 9 kHz. b. Show that the original signal may be recovered exactly from its sampled version, provided that the conditions embodied in the sampling theorem are satisfied. c. Suppose the maximum amplitude of the speech signal is Amax = 1 V. What is the maximum quantization error qm,max? HINT: We used a 16-bit quantizer to encode a symbol. |X(ƒ)| -4kHz -2kHz 2kHz 4kHz Figure 3.
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