A filter is uscd to enhance the quality of a mobile-phone signal by simply subtracting unwanted signals from the main one. The signal that we want to deliver to the customer is sin(30), the signal with the noisy components is 3sin(8), and the noise to be removed is 4 sin (e). A. Show that the following equation holds using the identities of circular functions [Useful signal = total signal – noise): sin(30) = 3 sin(8) – 4 sin (0) B. Let e = 1xt, where 1 is the angular frequency (w) in rad/s and t is the time in seconds. Using MATLAB, plot on the same figure sin(30), 3sin(8), and 4 sin (0).

A filter is uscd to enhance the quality of a mobile-phone signal by simply subtracting unwanted signals from the main one. The signal that we want to deliver to the customer is sin(30), the signal with the noisy components is 3sin(8), and the noise to be removed is 4 sin (e). A. Show that the following equation holds using the identities of circular functions [Useful signal = total signal – noise): sin(30) = 3 sin(8) – 4 sin (0) B. Let e = 1xt, where 1 is the angular frequency (w) in rad/s and t is the time in seconds. Using MATLAB, plot on the same figure sin(30), 3sin(8), and 4 sin (0).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Answer Task 2, please.

A filter is uscd to enhance the quality of a mobile-phone signal by simply subtracting unwanted signals from
the main one. The signal that we want to deliver to the customer is sin(30), the signal with the noisy
components is 3sin(8), and the noise to be removed is 4 sin (e).
A. Show that the following equation holds using the identities of circular functions [Useful signal = total
signal – noise):
sin(30) = 3 sin(8) – 4 sin (0)
B. Let e = 1xt, where 1 is the angular frequency (w) in rad/s and t is the time in seconds. Using
MATLAB, plot on the same figure sin(30), 3sin(8), and 4 sin (0).

Expert Solution

Solution: (A)

Further it follows,

Solution (B):

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