Download AKTU B-Tech 3rd Sem 2015-2016 NEE 303 Basic System Analysis Basic Of Signals Systems Question Paper

Printed Pages: 6       950/933/931       NEE-303/EEE-301/EE-302

(Following Paper ID and Roll No. to be filled in your Answer Book)

Paper ID :121303/121321/121312                                                   Roll No.

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B.Tech.

(SEM. III) THEORY EXAMINATION, 2015-16

BASIC SYSTEM ANALYSIS (NEE-303/EEE-301)

BASIC OF SIGNALS & SYSTEMS (EE-302)

[Time: 3 hours]                                                                                            [Total Marks: 100]

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Section-A

1. Attempts all parts. All parts carry equal marks. Write answer of each part in short. (2x10=20)

(a) Define unit step and unit ramp signals with proper sketch.

(b) Check the periodicity of the signal x(t)=e^j10t

(c) Write Dirichlet conditions for the existence of Fourier series.

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(d) Find the Fourier transform of d(t-t).

(e) What is time invariant and time varying system?

(f) State initial value theorem of z-transforms.

(g) Find Z-transform of unit step and impulse functions.

(h) Derive Laplace transform of sinhat.

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11. Find the inverse Z-transform of following:

(i) X(z)= 1/(1-2z^-1)(1+2z^-1)                              ROC:|z|>2

(ii) X(z)=log(1+az^-1)                                             ROC:|z|>|a|

12. (a) What is state transition matrix? List the important properties of state transition matrix.

(b) Obtain the state model of the electrical circuit show in Fig.7

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