GATE EC 2022:Signals & Systems Quiz 7

Let x(t) and y(t) have the following pole-zero plot

Let g(t) and h(t) are defined as g(t)=x(t),h(t)=y(t)

If g(t) and h(t)both are absolutely integrable then

Consider a system having impulse response h(n) = δ(n) – . What type of filter is represented is this system?

is the Fourier transform of x(t) shown below. The value of (rounded off to two decimal places) is ……… .

Let X[k] be the 6-point DFT of a sequence x[n] = {1, –2, 3, –4, 5, –6}

Match List I (Quantities) with List II (Value) and choose the correct answer using the codes given below

For the modulated signal , the message signal and the carrier frequency f_c is 1 MHz. The signal x(t) is passed through a demodulator, as shown in the figure below. The output y(t) of the demodulator is