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ECE · all questions

Signal Processing
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The units of the spectrum obtained by Fourier transforming the covariance function of a stationary stochastic process is

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Zero padding are

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In Digital Filters, how many interpolated data points are inserted between samples when performing 4X over sampling?

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Which of the following statement is not true

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Which of the following is not a periodic function of φ?

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Which of the following cannot be the Fourier series expansion of a periodic signal?

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A system with input x[n] and output y[n] is given as
The system is

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Let F(ω) be the Fourier transform of a function f(t), then F(0) is

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Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete-time system has the input-output relationship,
y\left( n \right) = \left\{ {\begin{array}{*{20}{c}} {x\left( n \right),}&{n \geqslant 1} \\ {0,}&{n = 0} \\ {x\left( {n + 1} \right)}&{n \leqslant - 1} \end{array}} \right.
Where x(n) is the input and y(n) is the output.
The above system has the properties

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Consider a random sinusoidal signal x(t) = sin(ω0t + φ), where a random variable 'φ' is uniformly distributed in the range  The mean value of x(t) is

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Match List-I with List-II and select the correct answer using the options given below:
List-I (x[n]) List-II (X(z))
a. 1.
b.   2.
c. 3.
d. 4.

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The minimum number of delay elements required in realizing a digital filter with the transfer function      is

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An input x[n] with length 3 is applied to a linear time invariant system having an impulse response h[n] of length 5 and Y(ω) is the DTFT of the output y[n] of the system. If |h[n]| ≤ L and |x[n]| ≤ L for all n, the maximum value of Y(0) can be:

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The complex exponential power form of Fourier series of x(t) is:
If     then the value of ak is:

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If x(t) = 10 rect  the zero-frequency value of its spectrum is given by

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FIR filters can be designed using

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The auto correlation function Rx(τ) satisfies which one of the following properties?

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If a random process X(t) is ergodic then, statistical averages

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Which one of the following systems described by the following input-output relation is non-linear?

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Let h(t) denote the impulse response of a causal system with transfer function  Consider the following three statements:
S1: The system is stable.
S2:  is independent of t for t > 0.
S3: A non-causal system with the same transfer function is stable.
For the above system,

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