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In a digital telephony network, the signal of human voice needs to be sampled and digitized before transmission. It is found that limiting the bandwidth of human voice to 3000 Hz would be enough to ensure good-quality phone calls. a. Human voice contains frequency components above 3000 Hz. How can we ensure that the voice signal will only occupy a bandwidth of 3000 Hz? b. The sampling rate is determined to be 50% higher than the Nyquist sampling rate. Determine the sampling rate. c. A pulse-code modulation (PCM) scheme is used to represent the digitized voice signal, where 10 bits are used for each sample. Determine the data rate of a single voice call.

In a digital telephony network, the signal of human voice needs to be sampled and digitized before transmission. It is found that limiting the bandwidth of human voice to 3000 Hz would be enough to ensure good-quality phone calls. a. Human voice contains frequency components above 3000 Hz. How can we ensure that the voice signal will only occupy a bandwidth of 3000 Hz? b. The sampling rate is determined to be 50% higher than the Nyquist sampling rate. Determine the sampling rate. c. A pulse-code modulation (PCM) scheme is used to represent the digitized voice signal, where 10 bits are used for each sample. Determine the data rate of a single voice call.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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૧૩ In a digital telephony network, the signal of human voice needs to be sampled and digitized before transmission. It is found that limiting the bandwidth of human voice to 3000 Hz would be enough to ensure good-quality phone calls. a. Human voice contains frequency components above 3000 Hz. How can we ensure that the voice signal will only occupy a bandwidth of 3000 Hz? b. The sampling rate is determined to be 50% higher than the Nyquist sampling rate. Determine the sampling rate. c. A pulse-code modulation (PCM) scheme is used to represent the digitized voice signal, where 10 bits are used for each sample. Determine the data rate of a single voice call. d. Time-division multiplexing (TDM) is used to aggregate a maximum of 40 voice calls in a telephone line. Determine the maximum data rate that you can observe over a telephone line. e. Determine the minimum required bandwidth of the telephone line that can support a maximum of 40 phone calls. f. Explain what synchronization is in a TDM system and why do we need synchronization in a TDM system. g. Now, suppose a frequency division multiplexing (FDM) system is to be built to support 40 phone calls in a given geographic area, where a single sideband amplitude modulation scheme (SSB AM) with a sufficiently large carrier frequency is used for each phone call. What is the minimum required bandwidth for the FDM system that can avoid mutual interference among the phone calls?
Transcribed Image Text:૧૩ In a digital telephony network, the signal of human voice needs to be sampled and digitized before transmission. It is found that limiting the bandwidth of human voice to 3000 Hz would be enough to ensure good-quality phone calls. a. Human voice contains frequency components above 3000 Hz. How can we ensure that the voice signal will only occupy a bandwidth of 3000 Hz? b. The sampling rate is determined to be 50% higher than the Nyquist sampling rate. Determine the sampling rate. c. A pulse-code modulation (PCM) scheme is used to represent the digitized voice signal, where 10 bits are used for each sample. Determine the data rate of a single voice call. d. Time-division multiplexing (TDM) is used to aggregate a maximum of 40 voice calls in a telephone line. Determine the maximum data rate that you can observe over a telephone line. e. Determine the minimum required bandwidth of the telephone line that can support a maximum of 40 phone calls. f. Explain what synchronization is in a TDM system and why do we need synchronization in a TDM system. g. Now, suppose a frequency division multiplexing (FDM) system is to be built to support 40 phone calls in a given geographic area, where a single sideband amplitude modulation scheme (SSB AM) with a sufficiently large carrier frequency is used for each phone call. What is the minimum required bandwidth for the FDM system that can avoid mutual interference among the phone calls?
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