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GATE EC : Signals & Systems Champion Quiz 2
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Question 1
Let x(t)↔X(jω) be Fourier Transform pair. The Fourier Transform of the signal x(5t –3) in terms of X(jω) is given as
Question 2
Choose the function f(t); –∞ < 1 < + ∞, for which a Fourier series cannot be defined.
Question 3
Let 
be a periodic signal period 16. Its DFS coefficients are defined by 
for all k. The value of the coefficient a31 is____________.
be a periodic signal period 16. Its DFS coefficients are defined by for all k. The value of the coefficient a31 is____________. Question 4
The impulse response(t) of a linear time-invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(–t), where u(t) denotes the unit step function and α and β are real constants. This system is stable if
Question 5
The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a causal system?
Question 6
The complex envelope of the bandpass signal 
, centered about 
Hz, is
, centered about Hz, isQuestion 7
A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequency 800 Hz. The output signal has the frequency
Question 8
The input x(t) and output y(t) of a system are related as 
. The system is
. The system is Question 9
Three analog signals, having bandwidths 1200 Hz, 600 Hz and 600 Hz, are sampled at their respective Nyquist rates, encoded with 12 bit words, and time division multiplexed. The bit rate for the multiplexed signal is
Question 10
An LTI system having transfer function 
and input x(t) = sin(t +1) is in steady state. The output is sampled at a rate ω rad/s to obtain the final output {y(k)}. Which of the following is true?
and input x(t) = sin(t +1) is in steady state. The output is sampled at a rate ω rad/s to obtain the final output {y(k)}. Which of the following is true? - 809 attempts
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Sep 3ESE & GATE EC
