Download AKTU B-Tech 1st Sem 2015-2016 EBT 102 Remedial Biology I Question Paper

Code: 20A3301

III B. Tech I Semester (R20) Regular Examinations November 2022

SIGNALS AND STOCHASTIC PROCESSES

(ECE)

Time: 3 hours Max. Marks: 70

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Answer all five units

All Questions Carry Equal Marks

UNIT - I

1. (a) Define signal and system. Explain the classification of signals with examples. [7M]

   (b) Check whether the system y(t) = sin(x(t)) is linear, time-invariant, causal and stable. [7M]

   OR

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2. (a) Find the exponential Fourier series of the half wave rectified sine wave. Draw its spectrum. [7M]

   (b) Explain the Dirichlet's conditions for the existence of Fourier series. [7M]

UNIT - II

1. (a) State and prove the following Fourier transform properties: [7M]

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   1. Time shifting
   2. Frequency shifting

   (b) Find the Fourier transform of signum function. [7M]

   OR

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2. (a) State and prove sampling theorem for band limited signals. [7M]

   (b) Explain the concept of aliasing. [7M]

UNIT - III

1. (a) Define linear system. Derive the relation between input and output of an LTI system. [7M]

   (b) Discuss about the causality and physical realizability of LTI system. [7M]

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   OR

2. (a) Find the convolution of x(t) = e^-2tu(t) and h(t) = u(t). [7M]

   (b) Explain the properties of convolution. [7M]

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UNIT - IV

1. (a) Define random variable and random process. [7M]

   (b) Explain Gaussian random variable. List its properties. [7M]

   OR

2. (a) Define probability density function and list its properties. [7M]

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   (b) Explain about multiple random variables. [7M]

UNIT - V

1. (a) Define auto correlation and cross correlation functions and list their properties. [7M]

   (b) Explain the concept of power spectral density. [7M]

   OR

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2. (a) Explain the characteristics of a random process. [7M]

   (b) Explain the concept of band pass random process. [7M]

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