Download AKTU B-Tech 3rd Sem 2015-2016 EBT 032 Biofuels Alcohal Technology Question Paper

Code: 13A05305

B.Tech II Year I Semester (R13) Supplementary Examinations June 2022

SIGNALS AND SYSTEMS

(Common to ECE and EIE)

Time: 3 hours Max. Marks: 70

Answer all five units

All questions carry equal marks

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UNIT – I

1. (a) Define signal and system. Explain different types of signals with examples.
   (b) Determine whether the signal x(t) = cos(t) + sin(t) is periodic or not. If periodic find the fundamental period.
   (OR)
2. (a) Explain the following operations on signals with examples:
   1. Time shifting
   2. Time scaling

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   3. Time reversal
   
   (b) Check whether the given system is linear or not y(t) = x²(t).

UNIT – II

1. (a) Explain the concept of orthogonality between two signals f₁(t) and f₂(t).
   (b) Find the Fourier series representation of the signal x(t) = t 0<t<1.
   

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   (OR)
2. (a) State and prove the properties of Fourier series.
   (b) Find the exponential Fourier series of the given signal.

UNIT – III

1. (a) Define Fourier transform and derive the condition for the existence of Fourier transform.
   (b) Determine the Fourier transform of the signal x(t) = e^-atu(t).
   

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   (OR)
2. (a) State and prove properties of Fourier Transform.
   (b) Find the Fourier transform of a rectangular pulse of duration T and amplitude A.

UNIT – IV

1. (a) Explain the concept of signal transmission through linear systems.
   (b) Define the following:
   1. Impulse response

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   2. Transfer function
   3. Filter characteristics of a linear system
   (OR)
2. (a) State and prove sampling theorem for band limited signals.
   (b) Discuss about different types of sampling techniques.

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UNIT – V

1. (a) Define Auto correlation and cross correlation function and list their properties.
   (b) Find the auto correlation function of x(t) = Acos(?t).
   (OR)
2. (a) Define Energy Spectral Density (ESD) and Power Spectral Density (PSD).
   (b) Find the PSD of x(t) = e^-atu(t).

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