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Theory

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Procedure

Simulation

Posttest

References

Contributors

Feedback

LTI systems in frequency domain

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Which of the following functions cannot be frequency response of a discrete-time LTI system?

H(\omega)=\sin (\omega)

Explanation

H(\omega)=\sin (2 \omega)

Explanation

H(\omega)=\sin (\omega / 2)

Explanation

H(\omega)=\sin ^2(\omega)

Explanation

The signal

x[n]=1+\sin (n)+\sin (\pi n)

is given as input to a low pass filter with cut-off frequency of 2. Select the correct statement from the following:

a: Both

x[n]

and

y[n]

are periodic Explanation

Explanation

x[n]

is periodic but

y[n]

is not Explanation

Explanation

y[n]

is periodic but

x[n]

is not Explanation

Explanation

d: Neither

x[n]

y[n]

are periodic Explanation

Explanation

If the magnitude response of an LTI system is constant and the phase response is linear, then the input and output are related by

a: output signal is a scaled and delayed version of the input signal Explanation

Explanation

b: output signal is always a scaled version of the input signal Explanation

Explanation

c: output signal is always a delayed version of the input signal Explanation

Explanation

d: cannot be determined Explanation

Explanation

If the input to an LTI system is

x[n]=e^{j n}

, the system output

a: is always of the form

y[n]=A e^{j n}

Explanation

b: is always of the form

y[n]=e^{j n}

Explanation

c: is always of the form

y[n]=A e^{j n+j \phi}

Explanation

d: cannot be determined Explanation

Explanation

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