Suppose that a continuous-time periodic signal is the input to an LTI system. The signal
Chapter 3, Problem 3.63(choose chapter or problem)
Suppose that a continuous-time periodic signal is the input to an LTI system. The signal has a Fourier series representation 00 x(t) = L alklejk(1TI4)r, k= -00 where a is a real number between 0 and 1, and the frequency response of the system is H(jw) = { 1' 0, lwl $ W lwi>W. How large must W be in order for the output of the system to have at least 90% of the average energy per period of x(t)?
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