. If a system function has zeros at the origin of the z-plane then the system function is a proper rational function. Why?  2. Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot, why not?  3. What is the preferred method for obtaining the inverse z-transform of rational functions? Describe this method.  4. Explain why a one-sided z-transform is able to determine response to a LCCDE with initial conditions while the two-sided z-transform cannot.  5. Can any system with a rational system function be decomposed into a product of an allpass system and a minimum-phase system? If yes, then explain how?

Q: QUESTION 4 Z-transfom of any discrete -time signal can be defined using expression below, +00 X(Z) =…

A:

Q: Sol1/3he z-transform z (n) = of the given function with its ROC. 1/2 is at n=0 =(3,-3, 2, 0, 0, 5),…

A:

Q: 2. Find the Z transform of the curve shown in the figure. 3. Using the initial and final value…

A: Given:A signal, To find:z-transform of the given function. Initial and final values of the function…

Q: Why we would want to use the Laplace transform. When can we employ it (think about conditions), and…

A: Laplace transform convert time domain to frequency domain

Q: By Using z-transform, determine the response, h(n) of the system 5 1 - y(n) = y(n − 1) − y(n − 2) +…

A:

Q: Find the ROC for z-transform

A:

Q: 1. Determine the z-transform and ROC for the time signals, (a) and (b). Sketch the ROC, poles, and…

A:

Q: Consider the function x[n] = sin(j On)u[n]. The z-transform of x[n] is equal to: a. z¹sin(…

A: here we have to find the z-transform of x(n).

Q: Determine the inverse z-transform of the function below using the alternate solution method (to…

A: SOLUTION :To find the inverse z-transform of the given functionX(z)=z2−z+0.21z​using an alternate…

Q: If X(z) is the z-transform of x[n], and if z1 is a pole of X(z), Select one: a. At z1, X(z) is…

A: In this question , we will write about z transform of x(n)...

Q: A- Find the inverse Z-transform (X[n]) for X(z) where [z] > 0.5 2z²-0.75z X(z) = 22-0.75z+0.125

A: In this question, we need to determine the inverse z-Transform of the given circuit.

Q: Find the z-transform of the number sequence generated by sampling the time function e(t) = 2t every…

A: z-transform This type of transform is sued for the discrete type of signal. The expression for the…

Q: Find the inverse z transform by dividing the function given below into partial fractions. X(z) = %3D…

A:

Q: What's the Z-Transform of the signal x(k) = 2* for k < 0 and x(k) = (1/3)*k for k 2 0 %3D z/ ((z -…

A: The solution is given below.  the answer is option e

Q: Q: Find Z-transform x(n) = 2-"u(-n+1) +0.3 "(-n+2)u(-n)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: a) Determine the z-transform of the following signal. x[n] = alnl + 8[n] b) What is the condition on…

A:

Q: Use a PFE to determine x[n], the inverse z-transform, of 1. X(z) = 2< |z| < 6 1-8z-1+12z-2?

A: We need to find out inverse z transform of given signal.

Q: * The inverse Z Transform of X(z) shown below using long division is 1+2z-1 X(2) = 1– 22-1 + 2-2…

A:

Q: What will be the value of x(2), if X(z) is the z-transform of x[n] and ROC is Iz| > 1/5. 1+ 2z- X(z)…

A:

Q: Partial fraction expansion Find the inverse Z-transform of the function X(z) = Inversion by long…

A:

Q: C. Given two sequences x1 (n) = -26(n) +58(n − 2) and x₂ (n) 46(n - 4) 1) Determine the z-transform…

A: Given 2 discrete time signals x1(t) and x2(t)it is asked to find the z-transform of the convolution…

Q: 3. Given two sequences æ1(n) = -26(n – 2), x2(n) = 58(n – 4) a. determine the Z-transform of…

A:

Q: we can rewrite equation (4.315), for this case, as F(2) yo(z +4) + Y1 1 (4.321) (z + 1)(2 + 3) + (z…

A:

Q: 3. For the system function H (2) = 5+2-¹+42-2 +32-3 1-32-1 (a) List all ROC's (b) Find the inverse…

A:

Q: H. W1: - Determine the z-transform, including the ROC, pole-zero- plot, for sequence x(n) = -a"u(-n…

A: Using Z transform find Z transform of the given signal x(n). Poles are the roots of the numerator of…

Q: Question 2 a) This question is about the Discrete Cosine Transform (DCT). i) The Discrete Cosine…

A: a) i) DCT is  mainly preferred over the DFT in image compression algorithms such as JPEG Since the…

Q: From Topic: Z-Transform a) Determine the Z-Transform of the signal x(n) = p"u(n) + q®u(-n – 1) Draw…

A: According to question: a) The Z-transform of the signal is calculated as…

Q: 7. Let x(n) be a causal sequence with z-transform X(z) whose pole-zero plot is shown below. Sketch…

A:

Q: Obtain the z-transform of the following: A. B. C. D. X(z) = X(z)= = x(n) = 3 1 (1-3-¹) (1 -2 -1…

A:

Q: The Z-transform of the following function /[k].2+(-5)*(-4)* in So the constants A and B are........…

A: Given, fk=942×2k+517×-5k-336×-4k f[Z]=Z×[A+BZ2](Z-2)×(Z+5)×(Z+4) Here, we have to find the values of…

Q: Q1/:- Given the sequence, X(n)= a"u(n), find the z transform of x(n). Q2/:- Given the sequence,…

A: In this question,   We need to determine the Z transform of the given x(n)

Q: Q1: Proof that the solution of inverse Z transform: z3 – z? + 2z F(z) (z + 1)(z – 1)2 Is f(k) =…

A:

Q: Which of the following is the correct statement(s) about the z-transform? O The ROC cannot contain…

A: 1. The ROC cannot contain any poles. ROC of z transform contains poles. So this statement is wrong .…

Q: 7. Let x(n) be a causal sequence with z-transform X(z) whose pole-zero plot is shown below. Sketch…

A: x1(n)=x(-n+2)x2(n)=ejπ3n x(n)

Q: 6. Compute the z-Transform for f[n]=| u[n]+ u[-n-2] and sketch its poles and zeros indicating the…

A:

Q: 2. Find the z-transform of r[n] = (n + 0.6")u[n] and sketch its pole plot. zero

A: We need to find out the z transform of given given , we use z transform formula and property of z…

Q: What we covered in Chapter 10 are called bilateral z-transform X(z). There 00 is also a thing called…

A:

Q: The inverse z-transform of F(z) is: Select one: O a. f(k)= O b. f(k)= O c. f(k)= O d. f(k)= x (5)* x…

A:

Q: Determine z-transform and ROC(region of convergence) of following two signals (f) and (g) and…

A:

Q: 8) Determine the z-transform of the difference equation shown below. Do not simplify or solve for…

A:

Q: A function e(t) is sampled and its z-transform is as follows: z - b E(z) z2 – cz² + d Find the…

A: We need to find out z Transform of given signal

Q: Find Z-transforms and corresponding regions of convergence for the following signals:

A: