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2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a)...
2) Find the inverse z Transform of the following signal: 223-5z2+z+3 X(z) = (z-1)(z-3) [z] <1
x[n] = { Consider the discrete sequence S (0.5)" 0<n<N-1 otherwise a) Determine the z-transform X(2)! b) Determine and plot the poles and zeros of X(2) when N = 8!
find the inverse z transform X(z) = 1-2-3 with [2]<1
(a) Find the z-transform of (i) x[n] = a"u[n] +b"u[n] + cºul-n – 1], lal <151 < le|| (ii) x[n] = n*a"u[n] (iii) x[n] = en* [cos (în)]u[n] – en" (cos (ien)] u[n – 1] (b) 1. Find the inverse z-transform of 1-jz-1 X(2) = (1+{z-1)(1 – {z-1) 2. Determine the inverse z-transform of x[n] is causal X(x) = log(1 – 2z), by (a) using the power series log(1 – x) = - 95 121 <1; (b) first differentiating X(2)...
(a) Find the z-transform of (i) x[n] = a"u[n] + B^u[n] + cºul-n – 1], lal< 161 < le| (ii) x[n] = n-au[n (iii) x[n] = {** [cos (Tan)]u[n] -em* [cos (fin)]u[n – 1]
2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n − 1)x[n] dX(92) Hint: nx[n]< > ; dΩ
please answer them indetail. thanks 4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
Write the function in terms of unit step functions. Find the Laplace transform of the given function. so, f(t) = 112, Ost< 1 t21 1949 - (22+2s+2) x Need Help? Read It Talk to a Tutor
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where a=8. Find the average power Poo
5. Find the Fourier Transform of g(t) = {o. (1-x?, x<1, 1</z/.