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Q5. In a PCM system, the signal x(t) has a bandwidth of 5 kHz. This signal is sampled with a guard band of 2 KHz. The pdf of the signal is shown below: fx(x) 1/3 1/6

Q5. In a PCM system, the signal x(t) has a bandwidth of 5 kHz. This signal is sampled with a guard band of 2 KHz. The pdf of the signal is shown below: fx(x) 1/3 1/6

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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## Transcription for Educational Website ### Problem Statement **Q5.** In a PCM (Pulse Code Modulation) system, the signal \( x(t) \) has a bandwidth of 5 kHz. This signal is sampled with a guard band of 2 kHz. The probability density function (pdf) of the signal is shown below: #### Diagram Description - The diagram is a bar graph depicting the probability density function \( f_x(x) \) of the signal. - The first bar has a height of \( \frac{1}{3} \) and spans a portion of the x-axis. - The second bar has a height of \( \frac{1}{6} \) and is positioned adjacent to the first bar along the x-axis. #### Additional Information - The quantizer uses \( L = 128 \) levels. - After quantization, the quantized levels are binary encoded and transmitted. ### Questions (a) What is the resulting bit rate (in bits per second, bps)? (b) What is the resulting signal to quantization noise ratio (in decibels, dB)?
Transcribed Image Text:## Transcription for Educational Website ### Problem Statement **Q5.** In a PCM (Pulse Code Modulation) system, the signal \( x(t) \) has a bandwidth of 5 kHz. This signal is sampled with a guard band of 2 kHz. The probability density function (pdf) of the signal is shown below: #### Diagram Description - The diagram is a bar graph depicting the probability density function \( f_x(x) \) of the signal. - The first bar has a height of \( \frac{1}{3} \) and spans a portion of the x-axis. - The second bar has a height of \( \frac{1}{6} \) and is positioned adjacent to the first bar along the x-axis. #### Additional Information - The quantizer uses \( L = 128 \) levels. - After quantization, the quantized levels are binary encoded and transmitted. ### Questions (a) What is the resulting bit rate (in bits per second, bps)? (b) What is the resulting signal to quantization noise ratio (in decibels, dB)?
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