B. Determine the z-transform, including the region of convergence of the following sequences: (Choose one only) 1) × (n) = ( ½)” (u[n] – u{n – 10]) 2) x₁ [n] = a₁ 0 < |a| < 1.

Q: Q) Find the z-transform f(z) and sketch the pole-zero plot with the ROC for the following sequence.…

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Q: I Consider two signals x₁(n) = nu(n) and x₂ (n) = cos(n)u(n). (a) Let y(n) = x₁(n) * x2 (n) be the…

A: Given: x1(n)=12nu(n)x2(n)=cos(πn) u(n) To find: a) y(n)=x1(n)*x2(n) using Z-transform. Sketch pole…

Q: Determine X(z) and specify its ROC, if the following facts are given about a discrete-time signal…

A: In this question,  We need to determine the X(z).  The facts of the X(z) are given.

Q: Consider two sequences, X1(n) = 36(n) + 20(n – l) X2(n) 26(n) - 0(n - 1) %3D Find the z-transform of…

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Q: Determine the z-transform for input sequence below. Draw the ROC and state the causality and the…

A: The solution is given below

Q: Find the Z-transform including the region of convergence of x(n) = (n – 2)an-2) cos(@.(n – 2))u(n –…

A: Z transform of a function is defined as, X(z)=∑n=-∞∞x(n)z-n

Q: and Roc the 2-transform for the given xen, - 20 {1, 2, 3,2} X(²) = { 2, 21-16 + 1} x(n) 3, 2, -4, T…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 74 15 x[n]+4x[n=1]– 4x[n-2]→ y[n]-y[n-1]+y[n- 2]-y[n– 3] y[n–1]+. 120 120 120 (c) the inverse…

A: Given: xn+4xn-1-4xn-2=yn-74120yn-1+15120yn-2-1120yn-3 To find: The inverse Z-transform equation and…

Q: Q1. For each of the following signals, find the z-transform, its poles and zeros, and the region of…

A: a) xan=52nu-5-nu-5-n=1.........(when -5-n&gt;0)X(z)=∑n=-∞∞xanz-n        =∑n=-∞-552nz-n…

Q: 3) Find the z-transform of each of the following sequences: a) x(n) = 38(n) + 8(n − 2) + 8(n + 2) b)…

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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. If x[n] X[Z], then show that (-1)"x[n] X[-z]. b. Use this result to show that (-y)"u[n] z/(z +…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: x(n) y(-1) = 1, y(-2) = -1, y(-3) = 2, y(-4) = -3, y(-5) = -2 -5 -2 Z-1 N 7 Z-1 4 -6 y(n)

A: Given below clear explanation

Q: Find X(z) and the region of convergence (ROC) for the signals below, Using Z-transform: 1. x₁[n]=…

A: Given data : X1n=12nun+-13nunX2n=-13nu-n-1+12nu-n-1

Q: A- Find the z-transform and the ROC for each of the following signals: i) x1(n) = (2, 1, -3,4,5,6)…

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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: Consider two signals x₁(n) = nu(n) and x₂ (n) = cos(n)u(n). (a) Let y(n) = x₁(n) * x2 (n) be the…

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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: 1. (a) Using the definition, find X(z), the z-transform of the signal x[n] = 2"u[n-1] (b) Draw the…

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Q: Using the properties of the z-transform, find the z-transform for each of the following b. x(n)= e)…

A: Q-(b) Answer:—

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: 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: 1. Find the z-transform of the following signals: (a) æ [n] = (-0.9)" u [n] %3D (b) a [n] =…

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

Q: 1-Find the inverse z-transform, for the following signals (a)X(z) = 1– 2.5z-1 + 2z-2 +0.3z-3, 1…

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Q: The following sequences x[n] and h[n] are given: x[n] = -4δ[n] + 5δ[n+1] - 10δ[n-1] h[n] = 3δ[n] +…

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Q: Determine the Total Response when x(n)=4(0.5)nu(n)+3(0.75)nu(n) using the Z-transform, given the…

A: Given below clear explanation

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

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Q: A vun The discrete-time signal h(n) has the Z-Transform H(z) = (6 – 12z")/(3 - 11 z +6z2). Find h(n)…

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Q: Find the Z transform including the region of convergence of: 1. Z{2cos[0.2r(n– 1)]u(n)} z {e-3n sin)…

A: Z-Transform

Q: In what ways are integrated circuits better than discrete ones.

A: Brief description: In the above given question they want to know the advantages of integrated…

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

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Q: Y(z) 1 ROC: |z| > 0.8 1 + 0.8z-1 Derive the difference equation and draw the LTI block diagram. b.…

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Q: Let x[n] = (n+1)3" u[n+2]. a- Warning: Warning 1. Give the z-transform Y(z) of y[n] = x[n-2]. You do…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Solve for the zero-input, zero-state responses, and the total response of the system shown below.…

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Q: 4) Find the z-transform of each of the following sequences. Whenever convenient, use the properties…

A: The given sequences area. x(n)=(13)nu(−n) .b. x(n)=(12)nu(n+2)+(3)nu(−n−1) .c.…

Q: A. B. Obtain the convolution of the following signals using z-transform: x² (n) = (i)* u(n − 1),…

A: Given here discrete signal and asked to find the convolution using the z-transform.   we know  Zanun…

Q: Find the Z transform and plot the region of convergence of x(n) 10 y(n) = (0) * u(n-1) + 50 n +(₁²)”…

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Q: A- Find the z-transform and the ROC for each of the following signals: i) x1(n) = {2,1,-3,4, 5, 6)…

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Transfer function

A transfer function (also known as system function or network function) of a system, subsystem, or component is a mathematical function that modifies the output of a system in each possible input. They are widely used in electronics and control systems.

Convolution Integral

Among all the electrical engineering students, this topic of convolution integral is very confusing. It is a mathematical operation of two functions f and g that produce another third type of function (f * g) , and this expresses how the shape of one is modified with the help of the other one. The process of computing it and the result function is known as convolution. After one is reversed and shifted, it is defined as the integral of the product of two functions. After producing the convolution function, the integral is evaluated for all the values of shift. The convolution integral has some similar features with the cross-correlation. The continuous or discrete variables for real-valued functions differ from cross-correlation (f * g) only by either of the two f(x) or g(x) is reflected about the y-axis or not. Therefore, it is a cross-correlation of f(x) and g(-x) or f(-x) and g(x), the cross-correlation operator is the adjoint of the operator of the convolution for complex-valued piecewise functions.