Consider a continuous LTI system, whose frequency response is,
\(H\left( {j\omega } \right) = \left\{ {\begin{array}{*{20}{c}} {1,}&{\left| \omega \right| \le 400}\\ {0,}&{otherwise} \end{array}} \right.\)
When the input to this system is a signal x(t) with fundamental period \(T = \frac{\pi }{4}\) and Fourier series co-efficient aK. It is found that the output y(t) is identical to x(t). For K ≥ P, it is guaranteed that aK = 0, then the value of P is
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