2) Consider the sinusoidal signal x(t) =cos(500rt + 0), and suppose that this signal is sampled, using impulse sampling, at w, = 10007 =(2 rf;), in order to achieve the signal Xp(t) as: +00 п 500 500- a) Find the signal g(t) such that x(t) = cos(0) cos(500rt) + g(t). b) Show that g () = 0 for n = 0,±1,±2, .. c) Using the results of the previous two parts, show that if the sampled signal is applied as the input to an ideal low-pass filter with cutoff frequency w. = 500x, the resulting output is x„(t)=cos(0) cos(500zt).

2) Consider the sinusoidal signal x(t) =cos(500rt + 0), and suppose that this signal is sampled, using impulse sampling, at w, = 10007 =(2 rf;), in order to achieve the signal Xp(t) as: +00 п 500 500- a) Find the signal g(t) such that x(t) = cos(0) cos(500rt) + g(t). b) Show that g () = 0 for n = 0,±1,±2, .. c) Using the results of the previous two parts, show that if the sampled signal is applied as the input to an ideal low-pass filter with cutoff frequency w. = 500x, the resulting output is x„(t)=cos(0) cos(500zt).

Name: Can you solve this question please 2) Consider the sinusoidal signal x
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Can you solve this question please 2) Consider the sinusoidal signal x(t) =cos(500rt + 0), and suppose that this signal issampled, using impulse sampling, at ws = 10007 =(2nfs), in order to achieve the signalXp (t) as:+00x„(t) = E × (500 ) ( - 500- 0

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

See similar textbooks