Problem

Suppose that a continuous-time periodic signal is the input to an LTI system. The signal...

Suppose that a continuous-time periodic signal is the input to an LTI system. The signal has a Fourier series representation

where α is a real number between 0 and 1, and the frequency response of the system is

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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