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INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI
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Exp-5 Analysis of LTI system response
Objective
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1) The convolution between two signals is always
Symmetric
Antisymmetric
None of these
2) Rxy[r] and Ryx[r] represent the cross-correlation between two signals x[n] and y[n] and that of their reversed order. Then which one of the following is correct
Rxy[r] = Ryx[-r]
Rxy[r] = Ryx[r]
Rxy[r] = -Ryx[r]
3) In the setup of experiment 5(a), if signal x(r) is symmetric and signal h(r) is asymmetric then their cross-correlation and convolution would be
one and the same.
same but anti-symmetric.
time reversed version of each other.
4) For any signal, the value of auto-correlation at any lag is
greater than the value of the auto-correlation at zero lag.
less than the value of the auto-correlation at zero lag.
less than equal to the value of the auto-correlation at zero lag.
5) When can be the cross-correlation between two signals be symmetric about zero lag?
When one of them is symmetric, while other is asymmetric.
Both signals are symmetric
Both signals are asymmetric..
6) The value of auto-correlation function of a signal at zero lag represents
The value of the signal at time t=0 (or n=0).
The average value of the signal.
The energy of the signal.
7) If (t1, t2) and (t3, t4) be the start & end point pairs of two time-limited signals x(t) and h(t), respectively. The start & end point pairs of convolution and cross-correlation of these signals would be
(t1+t2,t2+t4) and (t1-t3,t2-t3).
(t1+t3,t2+t4) and (t1-t4,t2-t3).
(t1+t3,t2+t3) and (t1-t4,t2-t3).
(t2+t3,t2+t3) and (t1-t3,t2-t3).
8)The correlation of a signal with a shifted version of itself is known as ?
Cross-correlation.
Auto-correlation.
9) If (t1, t2) and (t3, t4) be the start & end point pairs of two time-limited signals x(t) and h(t), respectively. The start & end point pairs of convolution and cross-correlation of these signals would be
Zero shift.
One shift
Tau shift
(Tau-t) shift
