PART A – (10 x 2
= 20 Marks)
1.
Define
energy and power signal.
2.
Determine
the laplace transform of the signal δ(t-5).
3.
Define
random signal.
4.
Give
the mathematical and graphical representation of continuous time and discrete
time unit impulse function.
5.
Verify
whether the system described by the equation is linear y(t)=x(t2)
6.
Find
the fundamental period of the given signal x (n) =sin ((6Ï€n/7+1)).
7.
Distinguish
between fourier series and fourier transform.
8.
State
Dirichlet condition.
9.
Prove
the time shifting property of discrete time fourier transform.
10.
Determine
laplace transform of x(t)=e-atsinwtu(t)
PART B-(5x13=65Marks)
1.
Determine whether the systems described by the
following input-output equations are
linear,dynamic,causaland time variant.
i)y1 (t)=x(t-3)+(3-t)
ii)y2(t)=dx(t)/dt
iii) y1(n)=n x(n)+bx2(n) (13)
2.
i)Determine
whether the signal x(t)=sin2Ï€t+sin5Ï€t is periodic and if it is periodic find
the fundamental period. (5)
ii)Define energy and power signals. Find
whether the signal x (n) = (1/2) nu (n) is
energy or power signal and calculate
their energy or power. (5)
iii) Discuss various forms of complex
exponential signals with graphical
representation.(3)
3.
i)
Prove the scaling and time shifting properties of laplace transform.(6)
ii)Determine
the laplace transform of x(t)=e-atcoswt u(t) (7)
4.
Determine
the fourier series representation of the half wave rectifier output shown
in figure below.
(13)
5.
Determine
the complex exponential fourier series for periodic rectangular pulse train
shown in figure.plot
its magnitude and phase spectrum. (13)
PART C-(1x15=15Marks)
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