ECE · all questions

Signal Processing
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Q241

If the fourier transform of f(t) is F(jω), then what is the Fourier transform of f(-t)?

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Q242

Which one of the following is the correct statement?
The continuous time system described by y(t) = x(t²) is

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Q243

The final value theorem is

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Q244

The auto correlation of a wide-sense stationary random process is given by e^-2|τ|. The peak value of the spectral density is

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Q245

Consider a continuous time system A, modelled by the equation y(t) = t.x(t) + 4 and a discrete time system B modelled by the equation y[n] = x²[n]. These systems are

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Q246

If the step response of an initially relaxed circuit is known, then the ramp response can be obtained by

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Q247

Mutual information I(X ; Y) between two discrete random variables X and Y is given by

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Q248

Laplace transform of e^-atf(t) is

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Q249

Consider the following transfer functions:

1. \frac{1}{j ω + 1} 2. \frac{1}{( j ω + 1 ) ^{2}} 3. \frac{1}{( j ω + 1 ) ( j ω + 2 )}

The transfer functions which have a non linear phase are:

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Q250

Consider an ideal low pass filter. Such a discrete-time system is:

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Q251

The impulse response of a discrete time system is given by
h(n) =

\frac{1}{2}

(δ[n] + δ[n - 2])
The magnitude of the response can be expressed as

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Q252

The z-transform X(z) of a real and right-sided sequence x[n] has exactly two poles and one of them is at

z = e^{\frac{iπ}{2}}

and there are two zeros at the origin. If x(1) = 1, which one of the following is TRUE?

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Q253

Which of the following systems is non-linear?

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Q254

Which dirichlet's condition(s) is/are related to Fourier transform?
1. Function is absolutely integrable
2. Function must have finite extremas
3. Function has finite discontinuities

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Q255

For a discrete LTI system, the impulse response is u[n]. What is its step response?

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Q256

The Butterworth filter of order n is described by the magnitude squared of its frequency response given by

∣ H_{n} (j Ω) ∣^{2} = \frac{1}{[ 1 + ( \frac{Ω}{Ω _{C}} ) ^{2 n} ]} .

The value of

20 lo g ∣ H_{n} (j Ω) ∣

at

Ω = Ω_{C}

is

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Q257

Find periodicity of signal cos2πt, jsin3t

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Q258

Which one of the following is the inverse z-transform of

X (z) = \frac{z}{( z - 2 ) ( z - 3 )}, ∣ z ∣ < 2 ?

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Q259

A system function is

H (s) = \frac{V ( s )}{I ( s )} = \frac{s}{s + 3},

the system is at rest for t < 0. i(t) = 2u(t) is an unit step. v(t) for t > 0 is given by

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Q260

Consider reconstructing a sinewave of frequency

f_{m},

the sampling frequency needed is,

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