A digital lowpass filter acts as a “correlator.” True False An LTI system with H

Question

A digital lowpass filter acts as a “correlator.”

True

False

An LTI system with H(z) =1+ z-1 is excited by a stationary random signal with mean value 1. The mean value at the output at steady state is:

0

1

2

-1

1/2

f. None of the above

An LTI system with H(z) = 2+ z-1 + z-2 is excited by a zero-mean white noise signal with unit variance. The variance of the output signal at steady state is:

0

1/4

1/3

6

4

3

1/6

None of the above

a.

0

b.

1

c.

2

d.

-1

e.

1/2

f. None of the above

An LTI system with H(z) = 2+ z-1 + z-2 is excited by a zero-mean white noise signal with unit variance. The variance of the output signal at steady state is:

a.

0

b.

1/4

c.

1/3

d.

6

e.

4

f.

3

g.

1/6

h.

None of the above

QUESTION 1 digital lowpass tlter acts as a "correlator." True False QUESTION 2 n LTI system wlth H(z)-1+71 Is excited by a statlonary random signal with mean value 1. The mean value at the output at steady state d.-1 e. 112 f. None of the above QUESTION 3 An LTi system with H2)-2+is excited by a zero-mean white noise signal with unit variance. The variance of the output signal at steady state is: a 0 b. 1/4 1/3 d.6 e. 8 116 h. None of the above

Explanation / Answer

Q1. A digital lowpass filter acts as a “correlator"

Ans. False

Correlator- An optical correlator is a device for comparing two signals by utilising the Fourier transforming properties of a lens.

Lowpass Filter- Low Pass filter is a filter which passes all frequencies from DC to upper cut-off frequency Fc and rejects any signals above this frequency.

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