2) Find the inverse z Transform of the following signal: 223-5z2+z+3 X(z) = (z-1)(z-3) [z] <1
find the inverse z transform
X(z) = 1-2-3 with [2]<1
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
7. Find the inverse Laplace Transform of X(so2 with ROC-1< Rels) 1.
5. Find the Fourier Transform of g(t) = {o. (1-x?, x<1, 1</z/.
Practising inverse transforms Transform the following functions. In the following, it is understood that we have no signal for t<0, i.e., the u(t) is understood.
Find the Laplace transform of the given function. f(t) = {et, Ost<2 lo, t> 2 | F(s) =
Q2: Find the complex Fourier series (show your steps) - T < x <07 f(x) 0 < x < Q1: Find the Fourier transform for (show your steps) - 1<x< 0 Otherwise (хе f(x) = { 0,
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
Find the Fourier transform of f(x) = 1–x?, for -1 < x < 1 and f(x) = 0 otherwise. Hence evaluate the integral 6 * * cos sin cos des.
(1 point) Find the inverse Laplace transform of 2s + 9 $2 + 23 S> 0 y(t) =