If h(n) is the impulse response of an LTI system and hI(n) is the impulse response of the inverse LTI system, then which of the following is true?

If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T-1, then which of the following is true? .x(n)=x(n) b) .x(n)=x(n) c) *x(n)=x(n) d) *x(n)=x(n)

A

.x(n)=x(n)

B

h(n)*h1(n)

C

h(n)*h1(n)

D

h(n)*h1(n)

If H(z) is the system function of an LTI system and HI(z) is the system function of the inverse LTI system, then which of the following is true?

A

H(z)*HI(z)=1

B

H(z)*HI(z)=δ(n)

C

H(z).HI(z)=1

D

H(z).HI(z)=δ(n)

In MATLAB, the impulse response of the step response of a system is ___ to the step response of the impulse response of the system.

A

Equal

B

Not Equal

C

Greater

D

Lesser

The following sentences form a paragraph. These four parts are numbered as P, Q, R and S. They are not given in their proper order. Read the sentences and choose the alternative that arranges them in correct order. P. Inverse problem refers to the scientific problem of estimating the different causes that led to a particular outcome. Q. This is in contrast to the forward or the direct problem where scientists try to find the outcome that results from a series of causes. R. A scientist observing a photograph, for instance, would be faced with the inverse problem while trying to figure out the various causal factors that combined to form the final photograph. The inverse problem is applied to understand processes in a wide variety of sciences. S. Scientists trying to understand an observation may at times have to work backwards to estimate the causal factors behind it.

A

PSRQ

B

RPQS

C

SPQR

D

PSQR

Choose the correct option after observing the given graph and the code snippet carefully. impulse(1,, ‘red’); hold on; impulse(1,, ‘blue’); impulse(1,, ‘yellow’); impulse(1,, ‘green’);

A

, ‘red’); hold on; impulse(1,, ‘blue’); impulse(1,, ‘yellow’); impulse(1,, ‘green’); ] a

B

1 _

C

1 _

D

1 _

Fill the half-filled code snippet to get the following graph: impulse(1,, ‘red’); ____; impulse(1,, ‘blue’); impulse(1,, ‘yellow’); impulse(1,, ‘green’);

A

, ‘red’); ____; impulse(1,, ‘blue’); impulse(1,, ‘yellow’); impulse(1,, ‘green’); ] 2, hold, 3,4,5

B

1 _

C

1 _

D

1 _

The impulse response h (t) of an LTI system is given by e-2t.u(t) . What is the step response?

A

y(t) = 1⁄2 (1 – e-2t) u (t)

B

y(t) = 1⁄2 (1 – e-2t)

C

y(t) = (1- e-2t) u (t)

D

y(t) = 1⁄2 (e-2t) u (t)

Input x(t) and output y(t) of an LTI system are related by the differential equation y"(t) - y'(t) - 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is

A

$${1 \over 5}{e^{3t}}u\left( { - t} \right) + {1 \over 5}{e^{ - 2t}}u\left( { - t} \right)$$

B

$$ - {1 \over 5}{e^{3t}}u\left( { - t} \right) + {1 \over 5}{e^{ - 2t}}u\left( { - t} \right)$$

C

$${1 \over 5}{e^{3t}}u\left( { - t} \right) - {1 \over 5}{e^{ - 2t}}u\left( t \right)$$

D

$$ - {1 \over 5}{e^{3t}}u\left( { - t} \right) - {1 \over 5}{e^{ - 2t}}u\left( t \right)$$

The impulse response and the excitation function of a linear time invariant causal system are shown in figure (a) and (b) respectively. The output of the system at t = 2 sec is equal to
Signal Processing mcq question image

A

0

B

$$\frac{1}{2}$$

C

$$\frac{3}{2}$$

D

1

A stable linear time invariant (LTI) system has a transfer function $$H\left( s \right) = {1 \over {{s^2} + s - 6}}.$$ To make this system causal it needs to be cascaded with another LTI system having a transfer function H₁(s). A correct choice for H₁(s) among the following options is

A

s + 3

B

s - 2

C

s - 6

D

s + 1

If h(n) is the impulse response of an LTI system and hI(n) is the impulse response of the inverse LTI system, then which of the following is true?

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