ELECTRIC CIRCUITS-W/MASTERINGENGINEERING
ELECTRIC CIRCUITS-W/MASTERINGENGINEERING
11th Edition
ISBN: 9780134894300
Author: NILSSON
Publisher: PEARSON
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Chapter 12.5, Problem 2AP

(a)

To determine

Find the Laplace transform of the function t2eat using the appropriate operational transform.

(b)

To determine

Find the Laplace transform of the function ddt(eatsinhβt) using the appropriate operational transform.

(c)

To determine

Find the Laplace transform of the function tcosωt  using the appropriate operational transform.

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A.15 Consider a communication channel, transfer characteristic of which is defined by the nonlinear relation, y(t) = x(t) + x² (t), where x(t) is the input and y(t) is the output. Assuming the input is an FM signal, x(t) = cos (2лft+(t)), find y(t). Is it possible to retrieve x(t) from y(t)? If so, how?
1) Show that a regenerative receiver can be used to recover message from the following modulated signals. a. DSB-PC b. DSB-SC 1b) Does the receiver need to recover the carrier phase? 1c) What are the filtering requirements and restrictions on message signal bandwidth and carrier frequency.
2) Estimate the transmission bandwidth for the following FM modulated signals (W is the message bandwidth) a) W1KHz and frequency deviation of 75KHz b) W = 20KHz and frequency deviation of 75KHz c) W1KHz and frequency deviation of 150KHz d) W20KHz and frequency deviation of 150KHZ

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