Chhattisgarh Swami Vivekanand Technical University 2007-4th Sem B.E Electronics & Tele-Communication Engineering (signal -07) - Question Paper

328415(28)

B. E. (Fourth Semester) Examination, Nov.-Dee,, 2007

(AEI, El, Et and T Engg. Branch) SIGNALS and SYSTEMS Time Allowed : Three hourx Maximum Marks : 80 Minimum Pass Marks : 28

Note : Part (a) of each unit is compulsory. Attempt any two parts frlm (b), (c) & (d). Answer should be brief and to the point. Unnecessary long anrer may result in loss of marks.

Unit-1

(a)    Define linear time tsvzristf system.

(b)    CSxek wbedaer the foikrwiag syscm is :

Q) Sftfr or &/a2tac

I 2 I

(u) Linear or non-linear

(iii)    Causal or non-causal

(iv)    Time invariant or time variant Given that:

(c) Skctcli Uk followiag signals unci calcubtc Jhcir energies:    7

(i)    r **(/)

(ii)    m(/)-u(/-I5)

(d) Give the graphical and mathematical representation of following sequences :    7

(i)    Unit step sequence

(ii)    Unit ramp sequence

(iii)    Unit sample sequence

(iv)    Exponential sequence

Uiiit>ll

2. (a) Define Fourier transform of a signal x (<). What is the condition for existence of Fourier transform of signal x (/).    ²

\b) State and prove following properties of Fourier transform :

(0 Linearity

(ii) Tune shifting (Hi) Time scaling (e) For (he transfer function :

*+io

j*+Xr+2

Find tbe response (r)due to input x (j - sin hu<0

00 For the continuous time periodic sigrul

*(r) = 2+cosy/j+4sifty/j

determine the fundamental frequency ft, and fourier

*

series coefficient C such that x (0 ]L .

Uuit-lU

3. (a) Define State of a system.

(b) Find the stale spacc representation of the following

systera whose differential cquatioo representation is.

rn

328415(28)

Attachment: chhattisgarh-swami-vivekanand-technical-university-2007-b-e-electronics--amp--tele-communication-engineering-1610-1.pdf

Earning:   Approval pending.