Download BU (Bangalore University) MBA 3rd Semester 2019 Feb Project And Operations Management Question Paper

ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES (AUTONOMOUS)

3/4 B.Tech I-Semester Regular Examinations December - 2023

SIGNALS, SYSTEMS AND STOCHASTIC PROCESSES

(ECE)

Date: Time: 3 hours Max. Marks: 70

Answer ONE Question from each unit

All Questions Carry Equal Marks

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UNIT-I

1. a) Define Signal and System. Explain different types of signals and systems with examples. (7M)
2. b) Check whether the given system y(t)=x(t)cos(t) is i) Static/Dynamic ii) Linear/Non-linear iii) Causal/Non-causal iv) Time variant/Time-invariant (7M)

OR

3. a) Determine the Fourier series representation of the half wave rectified sine wave as shown in Fig.1 (7M)
4. b) Explain Dirichlet’s conditions for existence of Fourier series. (7M)

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UNIT-II

1. a) State and prove properties of Fourier Transform. (7M)
2. b) Find the Fourier transform of the signal x(t)=e^-atu(t). (7M)

OR

3. a) State and prove sampling theorem for band limited signals. (7M)
4. b) Explain the concept of aliasing. How can it be avoided? (7M)

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UNIT-III

1. a) Define Convolution. Explain properties of Convolution. (7M)
2. b) Determine the convolution of the signals x(t)=e^-2tu(t) and h(t)=u(t+2). (7M)

OR

3. a) Explain the concept of causality and stability of LTI systems. (7M)
4. b) Find the transfer function, impulse response and check for causality and stability of the system described by the differential equation d²y(t)/dt² + 5dy(t)/dt + 6y(t) = x(t) (7M)

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UNIT-IV

1. a) Define Random variable. Explain different types of Random variables with examples. (7M)
2. b) Define probability density function and write its properties. (7M)

OR

3. a) State and prove properties of Random Process. (7M)
4. b) Explain Gaussian Random Process. (7M)

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UNIT-V

1. a) Define auto correlation and cross correlation functions and write its properties. (7M)
2. b) Derive the relation between Power Spectral Density (PSD) and Auto Correlation Function. (7M)

OR

3. a) Explain the concept of Linear Time Invariant system with a random process input. (7M)
4. b) Derive the relation between input and output of PSD for an LTI system. (7M)

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