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INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI
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Signals and their properties
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1) If b>1 which of the following statement is true for y(t)= x(t/b).
y(t) is a time-compressed version of x(t), compressed by a factor b.
y(t) is a time-expanded version of x(t), expanded by a factor b.
y(t) is a time inverted version of x(t) scaled by |b|.
2) The product of an even function and an odd function will be
Odd
Even
Neither odd nor even
3) If we shift a discrete-time impulse function by a shifting value of 0.6 then
Discrete-time impulse function will be scaled by 0.6 value.
Discrete-time impulse function will not shift for any float value.
Discrete-time impulse function will shift with 0.6 value in the time axis.
4) What will happen if we do time inversion of an odd signal?
The signal becomes even.
The signal remains odd and unaltered.
The signal remains odd and the waveform flips about the t=0 axis, where 't' is the time.
None of these.
5) Real exponential signal is defined as x(t) =A.exp(at). If the value of 'a' is negative, then the signal will be?
A DC signal.
Exponentially growing signal.
Exponentially decaying signal.
A sinusoidal signal.
6) Real exponential signal is defined as x(t) = A.exp(at). If the value of 'a' is zero, then the signal will be
Exponentially growing signal.
Exponentially decaying signal.
A DC signal with amplitude 'A'.
A sinusoidal signal with amplitude 'A'.
7) What will happen if we take the difference of an odd function and an even function ?
It will be an even function.
It will be an odd function.
Neither even nor odd.
8)What will happen if we time-scale a discrete-time impulse function by a factor 'A' (A may be of any numerical value) ?
The discrete-time impulse function will be compressed/expanded by the value of factor 'A'.
There will be no change in the amplitude of the discrete-time impulse function.
