Compute inverse z-transform of X(z) = (1 + 2z-1 + z-2)/ (1 - z-1 + 0.3561z-2) by expanding into a power series using long division. You can stop at the first four terms (Basically, get x(0), x(1), x(2) and x(3)). [10 points].
Compute inverse z-transform of X(z) = (1 + 2z-1 + z-2)/ (1 - z-1 + 0.3561z-2)...
Find the inverse z-transform x[n] of X(z) = (-2z+6z^2)/(-z^2+2z^3) of the first 4 values starting from 0 (z is a complex variable)
Compute inverse z-transform of X(z) = z2/(z-0.5)(z-1)2 using (a) Partial fraction method and (b) method of residues [20 points]
Find Z-Transform of f(k) = e-2ksinh4k , k 0 Find inverse Z-Transform of -1T-2 <Iz 5 markS ii) 2 2 (+2z Solve any three Q4A] 15 marks Is the following function even or odd? Find its Fourier series: i) 2 Find Z-Transform of f(k) = e-2ksinh4k , k 0 Find inverse Z-Transform of -1T-2
calculate the inverse Z-Transform calculate the inverse Z-transform (using polynomial division or partial fractions) of (z 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)...
5.1-8 (a) Expanding X[3] as a power series in z-! find the first three terms of x[n] if 223 +132²+z X[z]= 23 +7z2 + 2z+1
inverse z-transform (2 Marks / Markah) 2. By using partial-fraction expansion, solve the inverse z-transform of the following functions: [Dengan menggunakan kembangan pecahan separa, selesaikan jelmaan-2 songsang pada fungsi-fungsi berikut: (1) X(z) = z(z + 3)(z+5) (z-0.4)(z-0.5)(z-0.8) (3 Marks / Markah) X(z) z! 3 - 4z"+z ; ROC; 121 > 1 (3 Marks / Markah) (iii) X(E)= (1-3 1-2 (1 - 2:') - :') (3 Marks / Markah) 2+3:-) (iv) X() = (-X (3 Marks / Markah)
find the inverse z transform X(z) = 1-2-3 with [2]<1
Will give review, Thank! 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n] 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n]
2) Find the inverse z Transform of the following signal: 223-5z2+z+3 X(z) = (z-1)(z-3) [z] <1