Hi. I have a question for my homework that I'm having trouble with. If someone could point me in the right direction, I'd be very grateful! Here is the problem statement:
x(n) is a periodic sequence with period N. We use it to make two finite sequences of length 2N:
x1(n) = 'x(n) for 0 <= n < N' and '0 for N <= n < 2N'
and x2(n) = 'x(n) for 0 <= n < 2N'
Explain whether and how their spectra X(k), X1(k) and X2(k) are different?
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From what i can think of (and admittedly I'm not good at this) both x1 and x2 will have the same spectrum as x. x1 is x with zeros padded for another N samples and x2 is a double period of x. I'm way off the mark here, aren't I?
x(n) is a periodic sequence with period N. We use it to make two finite sequences of length 2N:
x1(n) = 'x(n) for 0 <= n < N' and '0 for N <= n < 2N'
and x2(n) = 'x(n) for 0 <= n < 2N'
Explain whether and how their spectra X(k), X1(k) and X2(k) are different?
--
From what i can think of (and admittedly I'm not good at this) both x1 and x2 will have the same spectrum as x. x1 is x with zeros padded for another N samples and x2 is a double period of x. I'm way off the mark here, aren't I?
