STUPIDSID
1(a)
Express the even and odd part of the signal x(n)={-2, 1, 3, -5, 4}
5 M
1(b)
Find the Fourier transform of \( x(t)=e^{-at}\cos \Omega _0tu(t) \)
5 M
1(c)
Obtain the Z transform of unit step, unit ramp signal.
5 M
1(d)
Compute N point DFT of x(n) = e-n 0≤n≤4
5 M
2(a)(i)
Check the given signals are periodic or not. If it is periodic find out the fundamental period. \( X(n)=1+e^{j2\pi n /3 }-e^{j4\pi n/7} \)
5 M
2(a)(ii)
Check the given signal is energy of power signal x(t) = 7cos20t + ∏/2
5 M
Sketch the signal
2(b)(i)
X(t) = -u(t+3)+ 2u(t+1) -2 u(t-1) +u(t-3)
5 M
2(b)(ii)
If x(n) = 1+n/3 -3≤n≤-1
1 0≤n≤3
0 otherwise
Sketc (i) x(n-1) (ii) x(2n-2)
1 0≤n≤3
0 otherwise
Sketc (i) x(n-1) (ii) x(2n-2)
5 M
3(a)(i)
Find the initial value and final value of \( X(Z)=\dfrac{2z^{-1}}{1-1.8z^{-1}+0.8z^{-2}} \)
5 M
3(a)(ii)
Find the Z transform of the given function \( x(n)=n2^n\ \sin\left ( \dfrac{\prod }{2} n\right )u(n) \)
5 M
3(b)
Find the inverse transform of the given function and sketch
(1) if ROC |Z|<1, (2) if ROC |Z|>2, (3) if RoC 1<|Z|<2 \[x(z)=\dfrac{3z^{-1}}{(1-z^{-1})(1-2z^{-1})}\]
(1) if ROC |Z|<1, (2) if ROC |Z|>2, (3) if RoC 1<|Z|<2 \[x(z)=\dfrac{3z^{-1}}{(1-z^{-1})(1-2z^{-1})}\]
10 M
4(a)
Find the phase and magnitude response of the system h(n)=[1, -1/2]
10 M
4(b)
A causal LTI system is described by the differenct equation.
y(n)=y(n-1)+y(n-2)+x(n)+2x(n-1)
Find the system function and frequency response of the system. Plot the poles and zeros and indicate the RoC, also determine the stability and impulse response of the system.
y(n)=y(n-1)+y(n-2)+x(n)+2x(n-1)
Find the system function and frequency response of the system. Plot the poles and zeros and indicate the RoC, also determine the stability and impulse response of the system.
10 M
5(a)
Find the Z transform function of the given signal n(1 / 2)n u(n) * [δ(n) - (1/2)δ(n-1)]
8 M
5(b)
Determine the response of discrete time LTI system governed by the difference equation Y(n)=-0.5y(n-1) + x(n), When the input is unit step and initial condition, a) Y(-1)=0, and b) Y(-1)=1/3
12 M
6(a)
In an LTI system the input X(n)={1, 1, 1} and the impulse response h(n)={-1, -1}. Determine the response of the LTI system by radix-2 DIT FFT
12 M
6(b)
Prove any three DFT properties.
8 M
More question papers from Signal Processing