Given the following signal: y1=sin( 2pi f1 t ) Where, f1 represents the fundamen

Question

Given the following signal:
       y1=sin(  2pi f1 t ) Where, f1  represents the fundamental frequency for signal y1 , and t   is the time.
a) Sample y1    using a sampling rate   fs=60Khz      . Let f1=10Khz , and t   varies from 0 to 1. Plot    for 1 millisecond only.

b) Use the function (sound) to listen to the tone.

c) Repeat part b) for f1=30Khz        . Can you hear the tone? Why?

d) Repeat part b) for     70Khz    . Can you hear the tone? Why?

e) For part d), write a mathematical expression for   , i.e., the reconstructed analog signal.

Explanation / Answer

f1= 10000;

T1 = 1/f1;

fs=60000;

dt = 1/fs;

t1 = 0:dt:0.001;

x1 = sin(2*pi*f1*t1);

stem(t1,x1);

sound(x1,fs);

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