Download AKTU B-Tech 5th Sem 2016-2017 Computer Architecture Ncs 505 Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2016-2017 Computer Architecture Ncs 505 Question Paper

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AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University

ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES (AUTONOMOUS)

MCA I Semester Regular Examinations November - 2015

(Approved by AICTE, Accredited by NBA & Affiliated to AU)

SIGNALS AND SYSTEMS

Date: Time: 3 hours Max Marks: 60

**Answer ONE Question from each part. All questions carry equal marks.**

PART-1

a) Explain the properties of the following signals
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1. Unit impulse signal
2. Unit step signal
3. Ramp signal
(6 Marks)

b) Determine whether the following signals are periodic or not. If periodic find the fundamental period.
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1. x(t) = 2cos(t/4) + cos(t/3)
2. x(t) = cos²t
(6 Marks)
a) Explain the properties of Fourier series.
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(6 Marks)

b) Obtain the Fourier series representation of the half wave rectified sine wave.

(6 Marks)

PART-2

a) State and prove properties of Fourier transform.
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(6 Marks)

b) Find the Fourier transform of gate function.

(6 Marks)
a) Explain the concept of Hilbert transform.
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(6 Marks)

b) Find the inverse Laplace transform of the following function:

X(s) = (s² + 1) / (s+3)(s+2)²

(6 Marks)

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PART-3

a) What is an LTI system? Explain the properties of LTI system.

(6 Marks)

b) Explain the difference between causality and stability of a system.

(6 Marks)

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a) Explain the properties of convolution.

(6 Marks)

b) Find the convolution of the following signals graphically

x(t) = e^-2tu(t); h(t) = e^-3tu(t)

(6 Marks)
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PART-4

a) State and prove sampling theorem for band limited signals.

(6 Marks)

b) Explain the effects of under sampling.

(6 Marks)
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a) Explain the concept of energy and power spectral density.

(6 Marks)

b) Find the auto correlation of x(t) = Au(t)

(6 Marks)
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PART-5

a) Explain the properties of Z-transform.

(6 Marks)

b) Determine the Z-transform of the following signal

x(n) = n²u(n)
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(6 Marks)
a) Find the inverse Z-transform of

X(z) = (3z^-1) / (1 - (3/2)z^-1 + (1/2)z^-2)

ROC: |z| > 1
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(6 Marks)

b) Explain the applications of Z-transform.

(6 Marks)

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