A sequence r[n] yields the z-transform X(z) = (1 - Az-¹)² Express r[n] in terms of n. Hint: The derivation is extremely short, but easily prone to mistakes.

Q: a. Compute the Z-Transform of following function analytically. x(n) = (0.8)" u(n-2) %3D

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Q: . Determine the z-transform and ROC

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Q: Z- Transform Solve X (n) = (1/2)n u(n)

A: Given, xn = 12n un

Q: solve ( x(n)= (0.4) n+1 u(n), h(n) = (0.2)" u(n-1) using Z-transform

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Q: A) A causal sequence for a system is expressed using the difference question as: y(n) – 2y(n-1) = 2n…

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Q: For the given function_x[n] = [8[n-k] k=0 The Z-Transform of x[n] is X(z) =

A: The given function is:   x[n] = Σs[n-k] k=0 to infinity   Taking the Z-transform of both sides, we…

Q: A- Use z-transform properties to determine the z-transform and ROC of the sequence x[n] = (n – 1)…

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Q: Solve for the Z-transform of the following DT functions x(n) =(})" u(-n– 5) а. b. x(n) =(+)"

A: Given: In this question we have to use the properties of z transform to solve the given question.…

Q: Find the inverse z transform of the given signals. 1-2-1 1-z-1 4 a) X(z)=1 , |z| > NIT 2

A: For the given z transform X(z) it is asked to find the inverse z transform

Q: Find Z transform of i) X[n]= 1+n2 x[n] ii) X[n]= αnu[n]

A: Given: Find Z-transform of the given functions  (1) Xn=1+n2xn(2) Xn=αnun

Q: G H Determine the z-transform of the given input signal below. Hint: Include spaces between each…

A: We need to find out the z transform for given sequences.

Q: The discrete time x [n] sign is given as 1 n = -1 n = 0 x[n] = -1 n = 1 n = 2 other cases the…

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Q: Find the unilateral z - transform of the DT sequence using the z transform pairs. Show the details…

A: We need to find out the z transform of the given sequence .

Q: Determine the value of y[n] by using z-transforms to solve for Y(z) and then converting back to…

A: The value of Y[n]:-                    y[n]=(5/13)(0.4)n u[n] + 1/13 (3)n u[n] full answer i=with…

Q: 7- Find X(z) for the sequence x(n)=()"³ cos((n-2))u(n-1) n-3

A: Since you have posted multiple questions we will provide the solution only to the first question a…

Q: Find the right-sided signal x[n], whose z-transform is 1-az-1 z-¹-a X(z) =

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Q: Question 5. digital system has Z transfer function G(z) nter a: nter k: nter 3: nter 1: = he input…

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Q: Determine the simplest expression for the convolution of the two signals. x3[n] = (†)"u[n] _x4[n] =…

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Q: The Z-transform of a sequence x[n] is given as x(z) = 3 + 4z - 6z¹+2z-² If y[n] is the first…

A: The given equation is shown below:Find:

Q: De termine Voet, Rin & Ront Vin (include ro for all three) caleulations Vout Rin Vin RE Rout

A: The figure shows an NPN BJT amplifier under common collector configuration. We have been asked to…

Q: Z- Transform Solve X(n) = { 1, 3, 5, 7, 0, 9}

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Q: Use Partial Fraction Expansion (PFE) to determine x[n], the inverse z- transform of X(z), where X(z)…

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Q: Z B) Find the Inverse Z-Transform for X(z) = (z+0.2) (z²-z+0.5)

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Q: 11 Using long division, determine the inverse :-transform of 1+2:- X(2) = 1- 2:-1 +z-

A: As per guideline we are supposed to answer only the first question. Kindly repost the question as a…

Q: Fat the z-transform X(2) of a[n] = (n-1)2" u[n+2] in the form of a single fraction of polyno- mials…

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Q: C) Find the Z-transform for i X(n)= 3 " U(n=2) +₂.₁1(n+1)

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Q: Assume X[z] is the z-transform of the signal x[n]. What is the z-transform of X*[n]?

A: Z - Transform: It is a powerful tool that converts n domain (Discrete) signals into z domain…

Q: 3. Solve the following difference equation using z-transform. y[n] + 3y[n 1] + 2y[n-2] = 2x[n] -…

A: Given: Difference equation,  y[n]+3y[n-1]+2y[n-2]=2x[n]-x[n-1],and x[n]=δ[n], All initial conditions…

Q: d the unilateral z — transform of the DT sequence using the z — transform pairs. Show the - - ails…

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Q: The causal signal with z-transform (z-a) is (u[n] is the unit step signal) (a) m¹a¹u[n] (c) n²a¹u[n]…

A: It is given that:

Q: *P(831) numbers Q2: Find the Z-transform of the following: 4) {ak-3} 5) {3*-4}

A: Here the discrete-time variable n is given as k    n = k  After replacing we calculated the Z…

Q: 9. For each of the following sequences, determine the z-transform and ROC, and sketch the pole…

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Q: Q2: Compute the z-transform and the region of convergence for the functions x[n] = -(5/4)" u[-n-1]

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Q: Q2 Find the inverse z-transform x(n) of the following 1 a) X(z) - (1-2.521+2)

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Q: D- Calculate the z-transform of the below signal and determine the ROC of it. [n]= 8[n]+ 4n]-3;)…

A: The detailed solution is given in the image

Q: 8) Write the z-transform of signal y[n] = Ei=x 2x(k) in terms of X(2).

A: By the time shifting property of a signal,  Z transform of xn-k=z-k Xz, where X(z) is the z…

Q: Determine the z-transform X(z) of x{n], including a specification of the ROC.

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Q: The inverse z-transform of H(z) = X(z)Y(z) is O x[n]*y[n] O x[n]/y[n] X[n].y[n] O x[n]

A: The inverse Z transform of H(z)

Q: What is the inverse z-transform of X (z) = e²¯? O x [n] = e="u [n] O 띠n] = \u[미] O x [n] = In(n)u…

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