Usingthe z transform methods, solvethefollowing differential equations 2y+2- 3y.1 - 2y, = 6n +1 initial conditions y.=1, y1=2

Q: X(z) 2z-1 1-3z1+z-² + 5z-3

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Q: 4. Show the validity of the following translation properties of 2-D discreteFourier transform pairs.…

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Q: Find inverse Z transform of H(z)=5z/(z-1)(z-2), Roc: Mod (z)>2.

A: Rearranging H(z) as

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: Q2) x" + x' – 2x = 6e-3t ,x(0) = 1 and x'(0) = 2 by Laplace %3| %D Transform Methods.

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Q: ind the inverse Z transform for the following by using Partial Fraction method: z (z² - z+2) H(z)…

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Q: What is the ROC of z-transform of finite duration anti-causal sequence? a) z=0 b) z=0 c) Entire…

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Q: x(n) = (n² + 3n + 2) u(n – 1) (Hint: use properties of Z-transform)

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Q: 1. Determine Z-transform including region of convergence а) x(п)-п a" и(-п-1) b) x(п) — {1, 0,…

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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: 1- Perform inverse z-transform using standard form (a) X(2) =2z+3 -1 (b) X(Z) = 3+2z + 3z

A: We are authorized to solve first two parts only. As you have not mentioned which part to answer. So,…

Q: 1. Without using the Z-transform table, compute the DTFT for: - G) y(n) u(п)

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Q: Find the inverse of z-transform of X(z) = z?/(1-az)(z-a) where Region of Convergence (ROC):…

A: Given: Xz=z21-azz-aROC: a<z<1a Inverse Z-transform for X(z) is given by: Xz→IZTxn

Q: s time Foirier transform relationship. 1.

A: NOTE_ “Since you have asked multiple questions, we will solve the first question for you. If you…

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

A: Define the z-transform  of sequence  from the pole-zero plot.  â€¦â€¦ (1) Here, the pole P is,

Q: 1. The following sequences x(n) and h(n) are given: x(n) = 35(n) + 75(n+2) - 100(n-1) + 50(n-2) %3D…

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Q: The z-transform of x[n]= 2"u[n-2] is: O A. Z z+2 O B. z(z-2) 4 С. z-2 O D. z(z+2) 4 CLEAR MY CHOICE

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Q: If x(n) is an absolutely summable sequence with a rational z-transform that has poles at z = 1/2 and…

A: so according to the given question the x(n) is absolutely summable  so it must include unit circle…

Q: Questions set #1 Z transform and ROC 1. Given the sequence: x[n] = u[n + 3] – u[n - 4] a) Sketch…

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

Q: QUESTION 1 Let X[n]= (n+1) 2" u[n - 1]. It is observed that its z-transform is of the form B(z) X(2)…

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Q: 4. Using Laplace transform method, find i(t) for the given differential equation; a) b) x" – 4x' +…

A: Given Differential equation x"-4x'+4x=0when x(0)=2x'(0)=2

Q: Given the z-transform pair below where a, b, c are real numbers. Determine the value a+b+c. a"+bul-n…

A: Brief description : In the above given question they have mentioned a Z transform relation. For the…

Q: 3. Determine the inverse z-transform using partial fraction expansion that results to a causal…

A: Given Xz=2z-11-3z-1+z-2+5z-3here we have to find the inverse z-transform we know that Zanun=zz-a…

Q: 1/ (1-2z-1 )(1-z-1)2 Causal response, inverse z transform.

A: Causal system: If the system does not respond before the input is applied, then it is called as…

Q: 1. Determine Z-transform including region of convergence a) x(n)=n a" u(-n-1) b) x(n) = {1, 0,…

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Q: z {e-nsin{) u(m)} TTn 'sin(

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Q: Determine the z-transform: (-1)^n

A: The solution is given below

Q: 28 – 2 |리 > 1,1리 < 0. 1– z-8' Then, determine h[-4]= h[0] = Is the system causal? Is the system…

A: Given system Hz=z8-21-z-8 Divide z8-2 by 1-z-8, and we get  hn=z8-1-z-8-........ Compare this with…

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: Q2/1f hin)-f1,-1. 23 X(m)-(0.5) find y(n) by using z transform.

A: Given that hn=1,-1, 2 xn=0.5n

Q: :Using long division method determine the inverse Z-Transform of X(Z) = (1 + 2Z')/(1+ 2Z' + Z³)

A: The system is given as:

Q: only A- Use z-transform properties to detonine the z-transform and ROC 1) cos (n) u(n) = (n of the…

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Q: Find the closed-form solution to the following difference equation using the z- transform method.…

A: y(n-1)-4y(n+1)=0 , y(0)=1 , y(1) =3Taking z transform y(z)z-1+y(-1)-4y(z)z+y(1) = 0y(-1) not given…

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

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Q: z² X(z) = (z-0.5)(z-1)²

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Q: b. Determine the mesh current i1 and i2 for the circuit shown using Laplace transform method 1H ll…

A: Given R= 3 ohm Xc= 1/sc=4/s ohm XL=sL=s(1) ohm

Q: 3. Determine the inverse z-transform using partial fraction expansion that results to a causal…

A: Given Z transform  X(z)= 2z^ -1 / 1-3z^ -1 +z^ -2 +5z^ -3 . In the method of partial fraction…

Q: Example 1: Apply Routh's stability criterion to the following third order polynomial: s* + 2s + 352…

A: In this question we will find system stability using routh array...

Q: Briefly explain the difference between Laplace transform and z- transform Solve the difference…

A: (1) Difference between Laplace transform and z-transform, LAPLACE TRANSFORM Z-TRANSFORM this…

Q: Problem 3. Determine the inverse z-transform using partial fraction expansion that results to a…

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Q: Given X(z) below, state all the possible regions of convergence (ROC). z(z – 5) (z – 0.5)(z – 2)(z –…

A: Answer: Option:- e  |z|&gt;10

Q: H.W. Prove the z-transforms for common sequences summarized in Table except the last sequence Table…

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Q: Usingthe z transform methods, solvethefollowing differential equations a) Ya+2- 3y.1+ 3y. = 1…

A: The z-transform is a key signal-processing technique for evaluating signal-system interactions.…

Q: (9" for n20 х(п) %3D G" forn<0

A: We will use definition of Z transform to find Z-transform of signal.

Q: Derive the Z-transform and its region of convergence for each of the following šignals: Ar] = 3- n20…

A: (i) Write the first function and write its Z-transform. xn=312nXz=3zz-12

Q: Find inverse Z transform using partial fraction expansion: X(Z)=4Z2/(Z-3)(z+5), RoC: |Z|&gt;3.

A: Inverse Z transform is used to convert a function from discrete frequency (Z) domain into discrete…

Q: Part 2. Determine the z-transform and ROC of x(n) = 3¹u(n-2)-n7"u(-n-1) Let x₁ (n) = 3"u(n − 2).…

A: Since you have posted the multiple questions so we are supposed to answer the 1st questions.

Q: Please assume the bilateral Z-transform in all questions unless otherwise stated. (a) Determine the…

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Q: Find the principal argument and exponential form of z = V3+i;

A: In this question we will find exponential form and principal argument of given variable. .

Q: z+ 1 A left slded sequence x(n) has Z-Transform given by X(z) = %3D 7-- Find the first 4 numerical…

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