**Problem 1.** A Conventional AM (Amplitude Modulated) signal is given by\[ S_{AM}(t) = 4(1 + \mu \cos(1,000\pi t)) \cos(20,000\pi t) \]a) What value would $\mu$ need to be for $\frac{1}{4}$ of the power to be in the sidebands?b) What is the bandwidth of the modulated signal?**Explanation:**In this problem, we are dealing with a standard AM modulation where the carrier signal is multiplied by a message signal. The expression contains carrier frequency ($20,000\pi$), and the modulation index ($\mu$) influences how much of the transmitted power is in the sidebands compared to the carrier. The questions require calculating:a) The modulation index $\mu$ such that one quarter of the power is in the sidebands.b) Determining the bandwidth, which for an AM signal is typically twice the message signal frequency.There are no graphs or diagrams in the image.

Given AM signal asSAM(t) = 4(1+m cos(1000πt))cos(20000πt)In form of SAM(t) =…

Problem 1. A Conventional AM signal is given by SAM(t) = 4(1+ucos (1,000nt)) cos(20, 000nt) a) What value would u need to be for % of the power to be in the μ sidebands? b) What is the bandwidth of the modulated signal

Problem 1. A Conventional AM signal is given by SAM(t) = 4(1+ucos (1,000nt)) cos(20, 000nt) a) What value would u need to be for % of the power to be in the μ sidebands? b) What is the bandwidth of the modulated signal

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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Concept explainers

Frequency Modulation

Frequency modulation is a method or process of encoding the data of a specific signal (analog or digital) by modulating the carrier wave frequency according to the frequency of the modulated signal. Modulated signals are nothing more than information or data that should be conveyed after being converted into electronic signals.

Question

**Problem 1.** A Conventional AM (Amplitude Modulated) signal is given by

\[ S_{AM}(t) = 4(1 + \mu \cos(1,000\pi t)) \cos(20,000\pi t) \]

a) What value would $\mu$ need to be for $\frac{1}{4}$ of the power to be in the sidebands?

b) What is the bandwidth of the modulated signal?

**Explanation:**

In this problem, we are dealing with a standard AM modulation where the carrier signal is multiplied by a message signal. The expression contains carrier frequency ($20,000\pi$), and the modulation index ($\mu$) influences how much of the transmitted power is in the sidebands compared to the carrier. The questions require calculating:

a) The modulation index $\mu$ such that one quarter of the power is in the sidebands.

b) Determining the bandwidth, which for an AM signal is typically twice the message signal frequency.

There are no graphs or diagrams in the image.

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