Question

Compute Z-transform of the following signals along with the RoC and verify the result with MATLAB result and attach screen shot of code and results:

(a) 𝑥(𝑛) = (1/𝑅𝐹) 𝑛𝑢(𝑛) + (1/𝑅𝐿) 𝑛𝑢(𝑛)

where RF = 12 RL = 56

Also take inverse Z-transform of computed X(z) and verify the result on page as well as in MATLAB.

Answer 1

G=tf([2 16 44 56 32],[3 3 -15 18 -12]);
[b,a]=tfdata(G,'v');
[z,p,k]=tf2zpk(b,a);

Obtained result

z =

-4.0000 + 0.0000i
-2.0000 + 0.0000i
-1.0000 + 1.0000i
-1.0000 - 1.0000i

>> p

p =

-3.2361 + 0.0000i
1.2361 + 0.0000i
0.5000 + 0.8660i
0.5000 - 0.8660i

>> k

k =

0.6667