Communication System ## 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)?

Given,In a PCM system,Bandwidth, BW=5 kHzGuard band, GB=2 kHzL=128 levels

Answered: Q5. In a PCM system, the signal x(t)…

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)

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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Question

Communication System

## 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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