Download AKTU B-Tech 4th Sem 2014-15 Computer Organizatio 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 the classification of signals with examples.
   (b) Determine whether the following signals are periodic or not. If periodic find the fundamental period.
   (i) x(t) = cos(t) + sin(v2t) (ii) x(n) = cos(pn/2) + cos(pn/4)

   OR

2. (a) Explain the elementary signals with graphical representation.
   

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   (b) Determine whether the following system described by the following input-output relations is:
   (i) y(t) = tx(t) (ii) y(n) = x(-n+2)
   (1) Linear (2) Time-invariant (3) Causal (4) Stable

UNIT – II

1. (a) State and prove the properties of Fourier series.
   (b) Find the exponential Fourier series for the half wave rectifier output.

   OR

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2. (a) Derive the relationship between trigonometric Fourier series and exponential Fourier series.
   (b) Find the Fourier transform of gate function.

UNIT – III

1. (a) State and prove properties of Fourier Transform.
   (b) Determine the Fourier transform of x(t) = e^-atu(t).

   OR

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2. (a) Explain the concept of energy spectral density and power spectral density.
   (b) Determine the Fourier transform of x(t) = e^-2|t|.

UNIT – IV

1. (a) Explain the concept of distortion less transmission through a system.
   (b) The transfer function of an LTI system is given by H(?) = 1/(2+j?). Determine the response y(t) to the input x(t) = e^-tu(t).

   OR

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2. (a) Explain the relationship between bandwidth and rise time.
   (b) Consider a stable LTI system characterized by the differential equation dy(t)/dt + 2y(t) = x(t). Find the impulse response.

UNIT – V

1. (a) Explain the properties of ROC for Laplace Transform.
   (b) Find the Laplace transform of x(t) = e^-atu(t) - e^-btu(-t).

   OR

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2. (a) Explain the properties of ROC for Z-Transform.
   (b) Find the Z-transform of x(n) = u(n) - u(n-N).

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