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GATE EC 2022:Signals & Systems Quiz 7

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Question 1

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is _______.

Question 2

Let x(t) and y(t) have the following pole-zero plot
1.JPG (3205×701)

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

Question 3

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

Question 4

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

Question 5

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

Question 6

For the modulated signal , the message signal and the carrier frequency fc 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

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Jun 23ESE & GATE EC

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Neha PathakNeha PathakMember since Jul 2020
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