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Question

Consider a continuous time LTI system, whose frequency response is
H(jω)={1,|ω|2000,otherwise

When the input to this system is a signal x(t) with fundamental period T=π6 and aK is fourier series coefficient of output. For KP it is guaranteed that aK=0 then the value of P is _________
  1. 17

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Solution

The correct option is A 17
ω0=2ππ/612 rad/sec

Highest frequency allowed by the filter
=20012=16.667=16

aK=0;K17

P=17

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