-atut The ROC for the bilateral Laplace transform of x(t)= e is, (a) Re(s)< -a (b) Re(s)>-a (c) -a< Re(s) <0 (d) ROC doesn't exist

Q: Q6 AI Determine the z-transform and the ROC of the following; X (n) = n-1{(e)-0.5n 8(n – 1) *

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Q: Find the z-transform of each of the following sequences: (а) х(п) 3D (-1у"и (п)

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: The Inverse Laplace Transform of 4(s+5) is: s2 +2s+10 Select one: Оа. 6.64е "cоs (3t - 53')u(t) O b.…

A: Inverse Laplace transform of the given transfer function.  Laplace transform of the  Sin(at)…

Q: . Determine the z-transform and ROC

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Q: Determine the Laplace Transform then sketch the pole-zero plot and ROC for the following signal.…

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Q: Hi, please find the Z Transform of given signal: x(n) = n^2 u(n) please write your solution…

A: In this question we will find z transform of given signal...

Q: Please get the Z transform of the function f(x)=e^-(akt), put all the steps

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Q: Find fouriar transform - JxC = X(F) -jz TT ft X(+) e de if X(t) = 2 Cos (3πT fet) find XCF) and plot

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Q: Given R = 3.1 Ω, C=92 mF in the equation Vs (t) =  Ri (t) + 1/C   ∫ i (r) dr            Note:…

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Q: Q/3 Find the Z-transform from the following: Y(n)-5y(n-1)+2/(n)+7y(n-2) + 13n u(n) = x(n) -6 X(n-2)…

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Q: Obtain c(0.4) and c(1.4) under the unit step input using the modified z-transform. (T=1) R(z) 1 C{2)…

A: According to question:

Q: What will be the Z transform of x(n)=anT u(n) with a&gt;0 and T is constant.

A: For any discrete time signal x(n), the Z transform of x(n) is defined as

Q: Ql: Proof that the solution of inverse Z transform: 2-7 + 2z F(z) (++ 1)(z – 1)2 Is S(k) = (-1)* +k

A: Z transform for discrete time signal is the equivalent of Laplace transform for continuous time…

Q: A- Find the z-transform and the ROC for iii) x2(n) = 7u(n) – 4u(n+ 2)) i) x1(n) = (2, 1, –3,4,5,6)…

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Q: Find the Z-transform of x(n)={......,0,0,2,-1.5,7,3.5,6,-8.5,0,0,........}

A: Given here a discrete sequence and asked to find the z-transform.

Q: x[n]= (2/3)*u[n-1]

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Q: Solve for the Laplace Transform of di L-+iR=E dt where L, R and E are constants and i(0) = 0.

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Q: what is the laplace transform of the given differential equation? y'' - 2y' - 1 = 0 , y (0) = 0 , y'…

A: Find the Laplace transform of given differential equation with given initial conditions.

Q: Find the inverse z-transform of X (2) = 1 (1-0.25z-¹)

A: Given: Xz=11-0.25z-1

Q: Question 4. Find the Laplace Transform of the following signal. Draw the s-plane and show poles,…

A: Given, The equation, xt=e-atut+e-btut

Q: The Inverse Laplace Transform for 5/3S - 2/ ((3(s+3)) is *

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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: Solve the Z-Transform X (n) = u (n + 2) where n is greater than 0 or up to infinity

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Q: Laplace transform F(s) of the following signal sin4(t-1)*u(t-1) O a. F(s) is a function of "s" Only…

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Q: a) A siganl x(1) =te-u(t) +P(t-3). find its frequency transform -bt b. Signal: y(1) =ae-u (t) +"u…

A: In this question we need to find a Laplace transform of the given signal

Q: a.x(n) = 48(n − 2) – 38(n − 1) +28(n) b.x(n) = 0.1 u(n) — 0.2n u(n)

A: Given: a. x(n)=4δ(n-2)-3δ(n-1)+2δ(n)b. x(n)=0.1u(n)-0.2nu(n) To find: Z-transform of the above…

Q: Determine the Z Transform for the following sequence. Sketch the pole-zero plot and indicate the…

A: We know that  Z-transform of anu-n-1 is -11-aZ-1=-ZZ-a Region of convergence ROC is Z&lt;a Z…

Q: x(n) = 0.25"u(n) + 0.5"u(n-1)

A: To find Z-transform:

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

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: Find the inverse Z-Transform of the following signal: Z-1 |z| > 1 (1-z-¹)(1-¹-z-¹)²' H(z) =

A: This is a problem of Z transform. The solution is given in the next step.

Q: TRUE OR FALSE: The Z-transform of x(n)= 0.25nu(n)+0.5nu(-n-1) is 0.25 < |z| < 0.5

A: Note: Z-Transform of anu(n)=11-az-1  , ROC Z&gt;aZ-Transform of anu(-n-1)=11-az-1  , ROC Z&lt;a

Q: VI. Determine the inverse Laplace transform of the following signal. (15') 3s X(s) = +6s +8

A: Given : X(s)=3ss2+6s+8

Q: 45 + 3 Determine the inverse transform of F(s) = (s* + 25 + 5)

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Q: 3- Find the z transform of the following two functions: (a) x₁(n) = -na" u(-n-1) (b) x2 (n)= (-1)"…

A: Given dataTo find outWe have to determine the  transform.

Q: Which one of the following is the inverse z transform of X(z) X(z) = Iz| < 2 (z – 2)(z – 3) Select…

A: CONTINUOUS AND DISCRETE-TIME SIGNALS: Because a signal is a function, we truly mean continuous-time…

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.