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Signal & Systems (3141005) Syllabus GTU
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Signal & Systems mid exam paper
Mid paper 2023:- Download
Question with answer :- Download (page 1-18)
CO
1
2
Determine the even and odd part of the following continuous time signals.
a)x(t)=et b)x(t)=3+2t+5t2 c) x(t) = sin 2t + cos t + sin t cos 2t
3
Determine the power and energy for the following continuous time signals.
a) x(t) = e-2t u(t)
b)x(t)=(22/)
) x(t) = 3cos5Ωot
4
A continuous time signal is defined as,
x(t)=t;0<t≤3
=0;t>3
Sketch the waveform ofx(-t)and x(2-t)
5
Sketch the signnal, x(t) = 2 u(t) + t u(t) - (t - 1) u(t- 1) -3 u(t-2)
Assignment-2-Signal & Systems (3141005)
Question with answer :- Download (page 19-35)
CO2
1
State whether the following systems are time invariant or not.
a)y(t)=2 ex(t) b)y(t)=x(t)+C c)y(t)=3x2(t) ) y(t)=x(t)+dx(t) e) y(t)=x(t)+fx(t) dt
2
Test the following systems for linearity.
) y(t) = 4x(t1) + 2 dx(t) b)dy(t)+2dy(t)+3y(1) =x(1)
3
Test the causality of the following systems.
)y(t)=x(t)+3x(t+4) b)y(t)=x(t2)
y(t)=x(2t) d) y(t)=x(-t)
4
Determine the range of values of"a" "b"for the stability of LTI system with impulse response.
h(t) =eat u(t)+e-bt u(t)
5
Perform convolution of the following causal signals.
a)x,(t)=2 u(t), x2(t)=u(t) b)x,(t)=e-2tu(t) X2(t)=e-5t u(t
c)x,(t)=t u(t),
X2(t) =e-5tu(t) x,(t)=cos t u(t) x2(t)=tu(t)
6
If two LTI systems with impulse responses, h1(t)=e-u(t) h2(t)=e-b1u(t)are
connected in cascade, what will be the overall impulse response of cascaded system?
Assignment-3-Signal & Systems (3141005)
question with answer :- Download (page 61-109)
CO3
1
1 Determine the Laplace transform of the signals shown below.
a) b) c) d)
x(t)
A 1
1
0
T
2
0 备 0 율
2 Perform convolution of x2(t) using convolution theorem of Laplace transform.
a)x,(t)=u(t+5),x2(t)=δ(t-7) b)x,(t)=u(t-2),x2(t)=8(t+6)
)x,(t)=u(t+1),x2(t)=r(t-2) er(t)=tu(t)
3 Determine the inverse Laplace transformm of x(s)=s(6+1)15+22
4 Determine the Z-transform and their ROC of the following discrete time signals.
a)x(n)=u(n) x(n)=0.5nu(u(n) c)x(n)=0.2 u(-n-1)
5 Find the one sided z-transform of the following discrete time signals.
a)x(n)=na(n-1) b)x(n)=n
6 Determine the Laplace transform of the following continuous time signals and their ROC.
a)x(t)=Au(t) b)x(t)=tu(t) c)x(t)=eu(t) d)x(1)=eu(-1) e)x(t)=e
7 Determine the inverse z-transform of the following z-domain functions.
a)x(2)=32/2+22+1/2 )x(z)=2/2-04/2
8 Determine the impulse response sequence of the discrete time LTI system defined by,
y(n)-2y(n-1)+y(n-2)=x(n)+3x(n-3).
9 Find trigonometric Fourier series and draw amplitude and phase spectrum of
periodictime domain signal g(t) shown in fig.
오
x
10 Find exponential fourier series and plot the amplitude and
phase spectrum of periodic time domain signal g(t) shown in
fig.
gct
-1 1 2
11 Find continuous spectrum of a non-periodic signal g(t) as
shown in fig.
g(t)=π1
± whese a>0.
0
12 Enlist Fourier Transform Properties and explain time
differentiation and time integration with necessary proof.
13 Explain time shifting and frequency shifting properties of
Fourier Transform with necessary proof.
Assignment-4- Microprocessor & Microcontroller (3141008)
question with answer :- Download (page 36-44)
CO4
1 Write SciLab. Code to Sketch the continuous time
signal 
and also its discrete time equivalent signal
with a sampling period T = 0.2sec -R BABU 1.1
|
2. Write SciLab. Code to find input x(n) for given |
3 Write SciLab. Code to find Z- transform of [3 1 257 0 1]-- R BABU 2.53a
4
|
Write SciLab. Code to find input x(n)  |
5 Write SciLab. Code to find CTFS coefficients of a periodic signal x(wt) = Asin wt, O<wt<pi, and 0, pi<ltl<2*pi —P R RAO 3.14
Assignment-5-Signal & Systems (3141005)
question with answer :- Download (page 45-60)
CO5
1 State, prove and explain the sampling theorem. What is aliasing effect? .
2 Explain in detail Reconstruction of a signal from its samples using interpolation.
3Find the Nyquist rate and Nyquist interval for following signals.
(1)
m(t) = cos(4000πt ) cos(1000πt)
(2)
m(t) = sinc(200t ) sinc(300t)
4 A 100 Hz sine signal is sampled at rates of 140 Hz, 90 Hz and 35 Hz. In each case, has aliasing occurred, and if so, what is the aliased frequency.
5 The spectrum X(jw) of signal as shown in fig. Draw the spectrum of the sampled signal at (i) twise the Nyquist rate and (ii) half the Nyquist rate. Mark the frequency values clearly in the figure.
Signal & Systems (3141005) GTU Paper:-
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