InfoCom. Dept. Signals and Systems I Dr. Omar A Practice Problem 15.1 Find the Laplace transforms of these functions: r() = tu(t), that is, the ramp function; eu(t); and eu u(1).

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: The platinum RTD has been connected to the wheatstone bridge circuit represented by R3 with Vin =…

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

A: The solution is given below

Q: The ROC of the z-transform of a sequence x[n] is given as |z|<1. The sequence x[n] is O Finite…

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Q: The ROC of a system is the. I all of them range of frequency for which the signal gets transmitted…

A: In this question we will define ROC of a system.... Note:- due to bartleby policy , I will answer…

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: For the give signal x2[n] below: п x2[n] = 2"u[n] + u[n] (i) Determine the z-transform and its…

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Q: Following are several z-transforms. For each, determine the inverse z-transform using both methods…

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

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Q: Q4 (a) (i) Determine the Laplace transform of the signal x(t) in Figure Q1(a) and stateits region of…

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Q: Given the difference equation a. with x(n)= b. C. y(n + 2)-y(n+1)->(n)= x(n), -(()*. 0, n20 nz0 and…

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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: (a) The output signal of a telecommunication system can be described as the 1 1 multiplication from…

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Q: . If a system function has zeros at the origin of the z-plane then the system function is a proper…

A: Inverse Z transform is the process of finding the time domain from its z transform .In the inverse Z…

Q: ix) f(t) = 8t“ + 2cos2t %3D f(t) = 4 + 9t° e³t f(t) = 4e 5t + e3t + 5 t³- 9 х) xi) %3D

A: As per our guidelines, we are supposed to answer only first 3 sub parts question. Kindly repost…

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: d) x(n) = ucn) - U(n-2)

A: d.A signal is given by⇒x[n]=u[n]−u[n−2].We need to determine the Z-transform of the signal x[n]…

Q: a) Based on your understanding, describe the use of Laplace-transform and z-transform in linear time…

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Q: a. Consider u(k)= of z-transform. 20 {2ª (2k , k ≥0 k<0 give the z-transform U(z) using general…

A: Function is given as,U(k)=2kk≥00k&gt;0

Q: What is the region of convergence (ROC) for the Laplace transform? If there are two roots located at…

A: Note Laplace of x(t)L(x(t))=∫-∞∞x(t) e-st  dtZ Transform of x[n]Z{x[n]}=∑n=-∞n=∞  x[n] z-n

Q: Q2 (a) Determine the inverse Laplace transform of X(s) : 9s2+16 (b) Produce the Inverse Laplace…

A: Use inverse transform table of Laplace By taking them to standard forms

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: (Find the z-transform and ROC of the signal Ja", g(n) =a²u (10) 0, 10, 20, · n = .. %3| 0, elsewhere…

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

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: Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae du(t);…

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Q: 2. (a) Write down X(z), the z-transform of x[n] = (1/3)"u[n] - 4^u[-n - 1] ` (b) Draw the pole/zero…

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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: Q4 | From Topic: Inverse Z-Transform a) Determine the inverse z-transform of 3 2 X(z) : 1- 0.2z-1 1…

A: We are answering first part and its subparts. As you have not mentioned which part to answer. So, we…

Q: Q2\ Determine the z transforms of the following sequences 3t (a) {(-})*} (b) e

A: Let x(t) is continuous time function and x[k] is its Discrete sequence then x[k] can be find from…

Q: Q3: Determine the Z-transform and ROC of ( 1. x(n)= =(-)*[(u(n)-u(n-6)] 2. x(n)=2 2 ( 3 ) * u( -. 2n…

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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: QI. A discrete-time signal is given with a combination of two exponentials as below: н x[n] = (-)"…

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

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

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Q: x(t) Figure Q1(a)

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Q: For the following time signal, determine the Z-transform and Region of Convergence (ROC). If the ROC…

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Q: Find Z Transform and ROC for each of the following discrete time signals using properties (Attempt…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…