Problem 3 Determine inverse z-transform of the following equations: a. b. (2-2)² (2-1)(2-0.5) ܐܕ
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- Home Works The - Transform Show. that.Z XcA-m) }. assumeZer Ic 1. show that Z. E ,(m) f Ck-m) 2. Find 2.Tof .. the following a) % { sin wn s b).. Z. cos wn.- c) %{ coihwn} 3. sin wn e Ans: .a). 2_sin w./_C. 2-2 2. com W +.)... 2*-2. cosw/ ( 22- 2 2 copes + 1 ) zz.cosh w./(2?2Z coshw. + 1. d) Zea sin w./ (z²c^ - 22 ea cosw. +. 1.2. Find xin). using. partial. fraction method ·; a . XC2) =. b). X(Z)=. 2 +1 3(2-)(2-) c) Xcz)= lo 5. Use discrete.comvelution to solve . ycz) n= 0, 1, 2, 3 and K= {, 2,5 (z-1) (Z-ē) Plot ycn) vs. n using Graphical method 8 Tabular methed. 6. Write the. difference epuation and realize the system" %3D X(2).: 2. + 5. z+ 22. the diffrences siuation for the systems shown below. -A: riteQUESTION 3 (a) There are 4 different types of transform (i to iv), can be used to represent a continuous and discrete time signal. The chosen types of transfom are selected based on the finite or infinite duration and also the generated signal either periodic or aperiodic. In the table, fill in the blanks with i, ii, iii or iv depending on which transform(s) can be used to represent the signal described. i- Contimuous-time Fourier Series (CTFS) Discrete-time Fourier Series (DTFS) 11- ii- Contimuous-time Fourier Transfom (CTFT) iv- Discrete-time Fourier transform (DTFT) Signal description Transform Continuous time Infinite duration Periodic Discrete time Infinite duration AperiodicExplain the Z-Transform Properties including the Convolution property and Linearity property.
- Explain (write steps) how to find linear convolution through z-transform.transform formula to prove thès -9t e cs Scanned with CamScannerin steady state space model matrix b can be used to: a. configure the output.b. facilitate a throughput of the input to the output.c. characterize the dynamic response d. none of the above
- 1- Find Z-transform if x(n) = blnl 2-If x(z) = 2z + 5z-1+ 6z-3 – z* find x(n). 3-Find zeros and poles of x(z): %3D (1--)(1-22-2) z + 2 4 – Find x(n) if x(z) : (z + 2)(z – 4) 5- If x(z) z-2 (2-z-2) find: %3! (a) [x(n) + x(n – 3)] * x(n) (b)x(n + 3) + 8(n – 1) 6- If x(n) = {2 1 -1 0 3},h(n) = {1 2 - 1}, Find out convolution of two sequences given above.Write down the s plane to z plane mapping function for Bilinear transform. No need to derive. I only need the expression of the function.14. Compute the minimal value of K so that the steady-state error due to a unit step distur- bance is less than 10%. a. K=1- b b. K = b c. K = 10- / d. The steady-state error is ∞ for any K