- 1 Determine the z-transform of the following signals. (a) x(n) = {3, 0,0.0,0, 6, 1, -4) %3D )", n2 5 n< 4 (b) x(n) =

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

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Q: a) Using Laplace transforms, find the solution, y(t), to the following ODE, if zero initial…

A: Since question b are not a subpart of question a as per the guidelines of Bartleby we supposed to…

Q: Obtain the causal signal x(n) if its z-transform is given by: 1+22-² 1+z² A B. C. D. [2-cos (n)]u(n)…

A: Given:  X(z) = 1+2z-21+z-2 we have to find out x(n) out of all four given options. we w'll apply…

Q: 1 X(z) = %3D 1-z-1+0.5z-2

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Q: 3.1. Determine the z-transform, including the region of convergence, for each of the following…

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Q: Find the solution of the equation y'+ 3y+2| ydt = f(t) using Laplac transform method, for which y(0)…

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Q: Given a discrete system, if the input x[n] = (0.3)" u[n] and the impulse response h[n] = (0.8)"…

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Q: (b) Determine the Z-transform and Region of Convergence (ROC) of: x[n] = {2,0, 2, 2,3, 0,0, 4}, n =…

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Q: 5. Given the difference equation (n + 2)- (n + 1)– - yln)= x(n), y(n- n20 Sо, п> 0 l0, п <0 Applying…

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

Q: Determine the causal signal x (n) if its z-transform X (z) is given by: 1+3;-1 1+3z-1 +2z-2 (a) X(z)…

A: Dear student as per our guidelines we are supposed to solve only one question.kindly repost other…

Q: Obtain the inverse z-transform of the function z+1 F(z) = z2 + 0.2z + 0.1

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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)…

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Q: Q.4 Using Laplace transform, obtain the i(t) in the circuit shown below as a function of time for t…

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

A: According to our guidelines, we can solve only one question at a time. Kindly, repost the remaining…

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: 2. f (n)- 3(0.5)" и-п-1) — 2 (0.2)" и(п)

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Q: A causal LTI system has impulse response h n], for which the z-transform is [Choose ] |z|>1/4 Iz| >…

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Q: 3.14 Determine the causal signal x(n) if its z-transform X(:) is given by: 14 3: (a) 1 (b) X(2) %3D…

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Q: Derive the z-transform of [n] = (n+1) u[n-no] where no is a constant.

A: We need to find out z Transform of given sequence

Q: Derive the z-transform of [n] = (n+1) u(n-no] where no is a constant. %3D

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Q: 2.5-2. Find the z-transform, in closed form, of the number sequence generated by sampling the time…

A: The given function is specified by its Laplace transform given as:  E(s)=21-e-5ss(s+2) The above…

Q: - 1 Determine the z-transform of the following signals. (a) x(n) = {3, 0,0.0,0, 6, 1, -4) ()", n2 5…

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Q: Find the Z-Transform for x(n) shown below including the ROC a(1) = (=)"sin(¬n)u(n)

A: Here we use the scaling property of the Z transform. We also used the time shifting property...

Q: Determine the causal signal x(n) if its z-transform X (z) is given by: (а) X(г) 1+3:-1 %3D 1+3z-1…

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Q: Find Z-transforms and corresponding regions of convergence for the following signals: a) x(п) %3D…

A: Use standard z transform formula to obtain the z transform of the signal.

Q: 3. Given the following differential equation, solve for y(t) if all initial conditions are zero, Use…

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Q: PROBLEM: Given the system represented in state space by Eqs. (4.108), 2 X = --0- x+ -3 y (1 3x x(0)…

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Q: 3) For the signal, y(t), plotted below a) Determine a time-domain expression for the signal, y(t).…

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Q: 6. Compute the z-Transform for f[n]=| u[n]+ u[-n-2] and sketch its poles and zeros indicating the…

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Q: Use Laplace transform technique to solve y"+2y +2y= e-, v(0) = - 2, y'(0) = – 1

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Q: Let r[n] be the sequence of 2-transform X(2) = Plot r[n] for n = 2,-1,.,4.

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Q: 2-1.5z-1 X(z) = %3D 1-1.5z-1+0.5z-2

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Q: Find the solution of the equation y'+ 3y+2 ydt = f(t)using Laplace transform method, for which y(0)…

A: In this question differential equation is given....We have to find out solution of this using…

Q: 2. Determine difference equation, and z-transform of the sequence h[n]={2, 1, -1, 0, 3}.

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Q: A) 1. Use Laplace transform to solve the initial value problem y" +3y/ +2y = 6e, y(0) = 1, y(0) = 2.…

A: In this question we will solve given differential equation using Laplace transform.... Note: as per…

Q: Calculate the z-transform of causal functions below: 1 k= 10, 11 (i) x1[k] = 2 k= 12, 15 %3D 0…

A: Z transform is  discrete equivalent of Laplace transform.  Z transform is used to convert the…

Q: Ex. 3.2 Left-sided exponential sequence Determine the z-transform, including the ROC,…

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Q: Given that the Z-transform of a system is : 1 X(z) 1 – 1.5z-1 + 0.5z-2 i) Find the partial-fraction…

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Q: QIB) Determine the z-transform for the following sequences, sketch the pole-zero plot and indicate…

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Q: z2 Q : The sequences x[k] which has the Z-transform is 8[k + 1] – A. (-4)*-1) + B. (-4)* (Z+4) , so…

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Q: Using Laplace transform methods, solve for t > 0 the following differential equation, 4 dy 64 t dt²…

A: The given differential equation is, 4td2ydt2+64ty=-4t-14∫0tsin(4τ)dτ-1 multiply above equation with…

Q: Obtain the inverse Laplace transform of the functions defined below (RUN # III), by hand if possible…

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Q: NOTE: M=8 (M+3)z² (z+3)(z-1)²* 2. Find the inverse Z-transform of the function F(z)

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Q: Obtain the Z-transform of following finit duration sequence: 1- x(n)=(1,2,4,5,0,7)

A: For the given finite duration sequence we need to find a z transform

Q: y(k + 1) – 0.2y(k) = k(0.4)* , y(0) = 1 %3D

A: ⇔denotes Z-Transform Property-1 If x(k)⇔X(z), Then, x(k+1)⇔zx(z)-x(0) Property-2 If x(k)⇔X(z), Then,…

Q: Use Laplace transform technique to solve , y"+3y'+2y = 0, given y(0) =1 and y'(0) = 0

A: Given values are - y''+3y'+2y=0d2ydt2+3dydt+2y=0y0=1y'0=0

Q: 1 2) x(s) = (s+a)² 1 3) x(s) s(s+1)

A: (2) Write the given transfer function and take its inverse Laplace transform. xs=1s+a2xt=te-at

Q: 2s ven that the Laplace transform of f(t) is F(s) = find: %3D s2 1 a) L{2e f(t)} 2

A: It is given that: F(s)=2ss2-1

Q: 4. Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot,…

A: Given,  x(n) =  u(n)

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.