Download AKTU B-Tech 7th Sem 2018-2019 NOE 073 Operations Research Question Paper

Code: 20A05401

B.Tech II Year II Semester (R20) Regular Examinations, August 2022

SIGNALS & SYSTEMS

(Electronics & Communication Engineering)

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Time: 3 Hours Max. Marks: 75

Answer any 5 Questions one Question from Each unit

All Questions Carry Equal Marks

UNIT-I

1. (a) Define signal and system. Explain different types of signals with examples.

   (b) Verify the orthogonality of signals sin(n?0t) and cos(m?0t) over the time interval t1 to t1+T0 where ?0=2p/T0.

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   OR

2. (a) Find the even and odd components of the signal x(t) = e^j2t.

   (b) Explain the properties of the unit impulse function.

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UNIT-II

1. (a) Explain the concepts of convolution, correlation, and causality of a LTI system.

   (b) Determine the convolution of the signals x(t) = e^-at u(t) and h(t) = e^-ßt u(t), for a ? ß and a = ß.

   OR

2. (a) State and prove the properties of the Fourier series.

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   (b) Find the Fourier series representation of the signal x(t) = Acos?0t.

UNIT-III

1. (a) Define Fourier Transform and derive the relation between Fourier series and Fourier Transform.

   (b) Find the Fourier transform of a gate function whose amplitude is A and exists from -T/2 to T/2.

   OR

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2. (a) State and prove properties of Fourier transform.

   (b) Determine the Fourier transform of x(t) = e^-a|t|.

UNIT-IV

1. (a) Explain the concept of Signal Transmission through a Linear System.

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   (b) Explain the concept of filtering.

   OR

2. (a) What is Hilbert transform? Explain properties of Hilbert Transform.

   (b) Explain Band pass and Band elimination filters.

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UNIT-V

1. (a) Explain the concept of ROC of Laplace transform.

   (b) Find the Laplace transform of x(t) = e^-atu(t)+e^btu(-t).

   OR

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2. (a) State and prove properties of Laplace Transform.

   (b) Find the Inverse Laplace Transform of X(s)=1/(s(s+1)).

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