- #1
Jncik
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Homework Statement
What sampling frequency would you use to sample the following signal
x(t) = 3sin(9πt) - 6cos(8πt)
Homework Equations
The Attempt at a Solution
let T1 be the period of 3sin(9πt) and T2 the period of 6cos(8πt)
T1 = 2π/9π = 2/9
Τ2 = 2π/8π = 2/8
thus, if f1 is the frequency of 3sin(9πt) and f2 the frequency of 6cos(8πt) we have
f1 = 1/T1 = 9/2 = 4.5
f2 = 1/T2 = 8/2 = 4
now about the niquist rate,
I'm not sure whether it will be 9(2*f1, since f1>f2) or the frequency that is 2 times larger than the overall frequency of x(t)
can you please remind this to me? thanks