BEU signal and system previous year question solution is being provided. BEU pyq solution of electrical engineering 4th semester.
a) If the Z-transform of x(n) is .X(z), then show that Z[x, (n) x2 (n)) = X₁(2) X2 (z)
(b) If the impulse response for a system is given by h(n) = a” u(n). then what is the condition for the system to be BIBO stable?
(c) A voltage having the Laplace transform 482 +38+2/7s²+65 +5 is applied across a 21 inductor. What is the current in inductor ut tu, assuming zero initial condition?
(d) Differentiate between Kronecker delta function and Dire delta function.
(e) The step response of an LTI system when the impulse response h(n) is unit step u(n) is
(f) Find the Laplace transform
f(t) = ecos(2t)u(t) where symbols have their usual meaning
(i) The final value of step response of acausal LTI system with
H(s) = (s + 1)/(s + 4) is
(i) 0-5
(ii) 0.25
(iii) 1
(iv) ∞
ALL in one pdf is provided below
(j) Consider two functions f(t) = h(t) * h(3 – t)and g(t) = h(t) – h(t – 3) Are these two functions identical? Show that L[f(t)] = L[g(t)] where L is the Laplace operator.
2. (a) et a system is described by the differential equation as dot y +3 dot y + 2y = e ^ (- l) ;with initial condition y(0)= dot y(0) = 0 .Compute the solution of the equation.
(b) Let f() is a periodic function with periodicity T for t20, then show that LI(0) = LIST (0) 1-e-ST s>0
(c) Find the Laplace transform of Fig. 1
3. (a) State why ROC does not include any pole, Find the Z-transform of
x(n) ((0.5)” u(n), n>0 (0-25)”, n<0
4. (a) Briefly explain the causality of a system.
(b) Find whether the signalin(n)is periodic or aperiodic. If periodic, then what is the periodicity of x[n]?
(c) Write down the Dirichlet condition. Fourier transform ofFind the x(t) = e-lu(t), and hence draw the =e magnitude and phase spectrums.
6. (a) A system is defined as y(n) = x(n ^ 2)Check whether the system is linear ornon-linear, time-varyingortime-invariant, causal or non-causal, andmemoryless or memory type.
(b) State Parseval’s theorem.
(c) Sketch the signal x(t) = – 2u(t – 1)
(d) Compute the Nyquist sampling rate forthe signal q(t) = 10cos(50pi) * cos^2 [1.5pi*t]
8. (a) Perform betweenthe4convolution operation x[n] = (0, 0, 0, 0, 2, -3, 1, 0, 0}and h[n] = {0, 0, 0, 1, 2, 2, 0, 0, 0) using graphical method.
(c) Calculate the Fourier transform of x[n] = u[n]
9.Write short notes following: on any four of the
(a) Nyquist sampling theorem (b) Evolution of Fourier series coefficient (c) Initial and final value theorems of Laplace transformдрво BIBO stability (e) Zero-order hold circuit
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