HW7.3 (Frequency Mismatch in Amplitude Modulation) A bandlimited continuous-time signal x has the triangular spectrum shown below:-A↑x X (w)+AωThe following diagram shows an amplitude modulation-demodulation scheme tocommunicate the signal x to a receiver. In this problem, you'll explore the effectsr(t)Yr(t)x(t)y(t)IR(t) = cos(wit)qr(t) = cos(wot)of frequency mismatch between the transmitter and receiver carriers qT and QR,respectively. In particular, assume that0<< A < W₁ = W₁ + €(a) Determine reasonably simple expressions for the signals r and Y. You mayfind the following trigonometric identity useful:1cos a cosẞ=[cos(a + B) + cos(a – ẞ)]-2(b) Provide well-labeled plots of R(w) and Y(w), the spectra of the signals r andy, respectively.(c) Explain why the information-bearing signal x is irrecoverable, even if wesend the signal y through an ideal low-pass filter.

spectrum of bandlimited signal x(t)with modulation-demodulation scheme,where,

HW7.3 (Frequency Mismatch in Amplitude Modulation) A bandlimited continuous- time signal x has the triangular spectrum shown below: X(w) -A +A 3 The following diagram shows an amplitude modulation-demodulation scheme to communicate the signal x to a receiver. In this problem, you'll explore the effects r(t) r(t) x(t) ✗ y(t) qR(t) = cos(wit) qr(t) = cos(wot) of frequency mismatch between the transmitter and receiver carriers qr and QR, respectively. In particular, assume that 0<< A < 0 = W₁ + € (a) Determine reasonably simple expressions for the signals r and y. You may find the following trigonometric identity useful: cos a cos = [cos(a + B) + cos(a - ẞ)] (b) Provide well-labeled plots of R(w) and Y(w), the spectra of the signals r and y, respectively. (c) Explain why the information-bearing signal x is irrecoverable, even if we send the signal y through an ideal low-pass filter.

HW7.3 (Frequency Mismatch in Amplitude Modulation) A bandlimited continuous- time signal x has the triangular spectrum shown below: X(w) -A +A 3 The following diagram shows an amplitude modulation-demodulation scheme to communicate the signal x to a receiver. In this problem, you'll explore the effects r(t) r(t) x(t) ✗ y(t) qR(t) = cos(wit) qr(t) = cos(wot) of frequency mismatch between the transmitter and receiver carriers qr and QR, respectively. In particular, assume that 0<< A < 0 = W₁ + € (a) Determine reasonably simple expressions for the signals r and y. You may find the following trigonometric identity useful: cos a cos = [cos(a + B) + cos(a - ẞ)] (b) Provide well-labeled plots of R(w) and Y(w), the spectra of the signals r and y, respectively. (c) Explain why the information-bearing signal x is irrecoverable, even if we send the signal y through an ideal low-pass filter.

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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