Assume that the input signal is x(t), the corresponding output signal is y(t), a

Question

Assume that the input signal is x(t), the corresponding output signal is y(t), and that these signals are measured at the input/output of a linear time invariant system

What is the frequency response of the system having y(t)= Ideal HPF{x(t)}, passing all frequencies above 2 rad/sec?

What is the impulse response of the system having y(t)=Ideal HPF{x(t)}, passing all frequencies above 2 rad/sec?

What is the impulse response of the system having y(t)=Ideal BPF{x(t)},passing all frequencies between 1 and 2 rad/sec?

Explanation / Answer

a) H(w) = 1 , |w|>2

               = 0 , otherwise

b) h(t) = impulse rseponse of high pass

            =inverse fourier of H(w)

C) HBPF(w) = 1   , 1<|w|<2

                   = 0

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