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# 2014 Acharya Nagarjuna University Signals and Systems - Bapatla Engineering College - II/IV B.Tech - 2nd Semester - June 2014 Question paper

 Course: University/board: Acharya Nagarjuna University

Are you looking for the previous question papers of Signals and Systems - Bapatla Engineering College - B.Tech? This is the original question paper from the B.Tech second year second semester exam conducted by Bapatla Engineering College in June 2014. Feel free to store a copy and use it to prepare for your upcoming exams.

II/IV B.Tech Degree Examinations, June 2014

Second Semester

Signals and Systems

Time : 3 hours

Maximum Marks : 60

Answer ONE question from each Unit

1. Answer the following [12 x 1 = 12M]
a) State the sampling theorem.
b) What is the condition for Causality in terms of impulse response for a LTI system?
c) Give the equation for Trigonometric Fourier Series.
d) What are the Dirichlet's conditions of Fourier series?
e) What is anti- aliasing filter?
f) What is Linear filtering?
g) What is a Random process?
h) What is Noise equivalent bandwidth?
i) What is the effect of filtering on Noise bandwidth?
j) Define Probability density function.
k) Give the expression for PDF of a Gaussian variable.
l) Define ergodicity of a process.

UNIT - I [1 x 12 = 12M]

2. a) Determine the exponential Fourier series for an impulse train. Also plot its magnitude and phase spectrum.
2. b) Find the Fourier transform of 5 sin2(t). (OR)
3. a) State and prove any three properties of the continuous-time Fourier transform.
3. b) Find the Fourier series coefficients of the signal x(n)=sinω0n and plot them.

UNIT - II [1 x 12 = 12M]

4. a) Explain Parseval's relation for discrete time periodic signals.
4. b) Find the convolution of the signals x(t)= e3tu(-t) and h(t)=u(t-10) and plot x(t) ,h(t) and x(t)*h(t). (OR)
5. a) Define Energy Spectral density. State and prove its properties.
5. b) Derive the condition for stability in terms of impulse response for a LTI system.

UNIT - III [1 x 12 = 12M]

6. a) Derive the expression for the overall noise figure of a cascaded amplifier with two stages.
6. b) Derive the equations for power spectral density of nc(t) and ns(t). (OR)
7. a) Write short notes on "Thermal Noise".
7. b) Two resistors of 10 K Ohms and 5 K Ohms at room temperature 30oC are used for a communication system operated at B.W of 100 K Hz. Calculate the thermal noise generated by each resistor when connected in series, in parallel.

UNIT - IV [1 x 12 = 12M]

8. a) Discuss in detail stationarity of random process.
8. b) Evaluate the power density spectrum of the response of a linear time invariant system when excited by a random process X(t). (OR)
9. a) Discuss the auto correlation properties of a random process.
9. b) Discuss about ergodic random process.

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