Synthesizing signal given expression
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Would would one go about synthesizing a discrete representation of a signal given by the expression x(t)=9cos(421t + 1.99) for 0<=t<=2 using a sampling rate of 874Hz with the first sample located at t=0?
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Walter Roberson
2022-4-30
First create a vector of times in t. Then
x = 9 * cos(421*t + 1.99);
stem(t, x)
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Walter Roberson
2022-4-30
The times in the vector are (1 / sampling rate) seconds apart.
But sometimes it is easier to figure out how many total samples you are dealing with, generate integers 0 to one less than that many, and then divide those integers by the sampling rate. (0:5)/874 for example
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