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SIGNALS AND SYSTEMS JNTU UNIVERSITY PREVIOUS YEAR QUESTION PAPER FOR 2nd YEAR first semester for ECE,E&I,BIO-MEDICAL ENGINEERING DEPARTMENTS

SIGNALS AND SYSTEMS JNTU UNIVERSITY PREVIOUS YEAR QUESTION PAPER FOR 2nd YEAR first semester for ECE,E&I,BIO-MEDICAL ENGINEERING DEPARTMENTS

SIGNALS AND SYSTEMS JNTU UNIVERSITY PREVIOUS YEAR QUESTION PAPER FOR 2nd YEAR first semester for ECE,E&I,BIO-MEDICAL ENGINEERING DEPARTMENTS

II B.Tech I Semester Regular Examinations, November 2007
SIGNALS AND SYSTEMS
( Common to Electronics & Communication Engineering, Electronics &
Instrumentation Engineering, Bio-Medical Engineering, Electronics &
Control Engineering and Electronics & Telematics)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆ ⋆ ⋆ ⋆ ⋆
1. (a) Write short notes on “Orthogonal Vector Space”.
(b) A rectangular function f(t) is defined by [6+10]
f (t) = 1 (0 < t < )
−1 ( < t < 2 )
Approximate the above function by a finite series of Sinusoidal functions.
2. (a) Prove that Sinc(o)=1 and plot Sinc function.
(b) Determine the Fourier series representation of that Signal x(t) = 3 Cos( t/2
+ /4) using the method of inspection. [6+10]
3. (a) Find the Fourier Transform of the signal shown figure 3a.
Figure 3a
(b) Find the Fourier Transform of the signal given below [8+8]
y (t) cos 10t, −2 t 2
0, otherwise
4. (a) Explain how input and output signals are related to impulse response of a LTI
system.
(b) Let the system function of a LTI system be 1
jw+2 . What is the output of the


system for an input (0.8)t u (t). [8+8]
5. (a) State and Prove Properties of auto correlation function?
(b) A filter has an impulse response h(t) as shown in figure 5b The input to the
network is a pulse of unit amplitude extending from t=0 to t=2. By graphical
means determine the output of the filter. [8+8]
6. (a) Consider the signal x(t) =
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