HELP II. PROBLEM 21)Find the Zee-transform of the sequence x[k]= u[-k].2)Determine the sequence x[k] whose Zee-transform is given byX(z)log(1+ az-), |z| > Ja|

1. We know that the z transform of a function is defined as Z{x[k]} = ∑0∞x[k]* z-n We know…

Answered: II. PROBLEM 2 1) Find the Zee-transform…

II. PROBLEM 2 1) Find the Zee-transform of the sequence ¤[k] = ul-k). 2) Determine the sequence r[k] whose Zee-transform is given by X(z) log(1+az-1), |z| > |a|

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

See similar textbooks

Related questions

Q: Find the minimum Product-of-sum term expression for F (W,X,Y,Z)= summation of…

Q: Assume a system function of an LTI system is 5 z2 H(z) = (z2 – z – 6) The input to the system x(n) =…

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

Q: What is mean by ROC on Z plane? Consider X(z) of your own which has the poles to cover all three…

A: ROC or Region Of Convergence is the range of complex variable 'z' in Z plane for which Z transform…

Q: F(z)=(z^2+z+2)/((z-1)(z

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

Q: Find the unit step response of the given closed loop control system with the z-transform.

A: The transfer function of the above question is given by:- Y(z)R(z) = G(z)1+G(z)H(z) =…

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

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

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: Find the inverse Z-transform by using the discrete convolution method (z)=z^2/((z-b)(z-a)), where…

Q: Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time…

A: Given that - yn=xn*hnYz=2+3z-1+z-2

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: Q2\ Discrete system has unit sample response h(k), for which the z-transform 1+z¬1 H(z) : 2…

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: Find the inverse Z-transform by using the discrete convolution method (z)=z^2/((z-b)(z-a)) , where…

A: In this question, We need to determine the inverse of the Z transform. a and b are constant.

Q: Given the z-Transform 3z X(z) = (2' - 4)(z-1) determine the inverse z-Transform x[n] for each one of…

A: We will out inverse z transform by using fractional method .

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: y''-4y=e-2t Find the general solution of the second order, constant coefficient, non-homogeneous…

A: Given Differential equationy''-4y=e-2t

Q: H.W. Prove the z-transforms for common sequences summarized in Table 1 except the last sequence…

A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost other…

Q: 2) The Z-Transform of the signal X is given by 10z X(z) : 5z+z If the signal X is shifted to the…

Q: Obtain cascade structure as a second-order transposed direct form II sections with real coefficients…

A: please rate meplease rate meplease rate meplease rate meplease rate meplease rate meplease rate…

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

A: Z Transform including Region of convergence; a) x(n)=n an u(-n-1) b) x(n)={1,0,-1,0,1,-l)

Q: -transform of any discrete -time signal can be defined using expression below, X(Z) = x[n]z-, a) By…

Q: According to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is…

A: According to the definition of Z-transform X(z)=∑n=−∞∞x(n)z−n Zx(n-k)=X1(z)=∑n=−∞∞x(n−k)z−n

Q: c) Obtain Z-transform of (1-e-Ts )/s(1/s+1) d) The z-transform X (z) of a function X (k), is given…

A: c) The given function is, X(s)=1-e-Tss(s+1) Apply Z transform on both sides and use shifting…

Q: 1. Get the 8-point DFT of the signal below using X(n) = [ 2, 5, 1, 7, 2, -4] a. Direct computation…

A: We need to calculate the 8-point DFT of the signal: x(n)=[2,5,1,7,2,-4] a) By using direct…

Q: Z-transform of any discrete -time signal can be defined using expression below, +00 X(Z) = )…

A: We need to find out z Transform and we need to find ROC for given sequence .

Q: 2. Given 1- 3z-2 Y(z) : (1– 3z-1)(1+z-1) (i) Expand Y(z) into partial fractions. (ii) Determine the…

A: Given: i) We need to expand Y(z) into partial fractions. ii) We need to determine y1(n) and y2(n) ,…

Q: H. W2: - Determine the z-transform, including the ROC, pole-zero- plot, for sequence x(n) = (;) u(n)…

Q: 2. Given 1- 3z-2 Y(z) = (1 – 3z-1)(1+-1) (i) Expand Y(z) into partial fractions. (ii) Determine the…

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

A: xn can be a right sided signal as xnn is an absolutely summable sequence ROC must include full…

Q: Given the Z-transform 3z2-z X(z) z2+z-6 a) What are the 3 possible regions of convergence for this…

A: Given: Brief description: For the above question we need to calculate the value of region of…

Q: Use z-transform properties to find the z-transform of x[n] = (a)"cos(Non)u[n] Where a is real and…

A: According to the question we have to calculate the Z-Transform of a given term.

Q: Q1- The response of the control system subjected to unit step in t- domain is given by c(t)=1-9e…

A: Steady state error - The deviation of the output of control system from desired response during…

Q: B17. (a) Find the z-Transform of fe-kwT), where w is a complex number, and region of validity of the…

Q: Establish the shifting property of Z transform.

A: In this case, the shifting property of Z transform is to be established.

Q: Q2\ Discrete system has unit sample response h(k), for which the z-transform 1+z-1 H(z) =…

Q: z+ 1 A left sided sequence x(n) has Z-Transform given by X(z) = Z- Find the first 4 numerical values…

Q: Using Z-transform perform deconvolution of response y(n)= {-2,5,-4,2,1} and h(n)={1,-1,1} to extract…

A: In the question, Impulse response and output are given. Find the input of the system using the Z…

Q: Question 2 (a) Determine the z-transform, including the ROC in z-plane and a sketch of the…

Q: using property of Z-transform, transform the expression below yln) - (3/4) yln-1] +(1/8) y[n-2] =…

A: We need to find impulse response for given system

Q: d) The z-transform X (z) of a function X (k), is given by; z (0.1065z+0.09021) (z-1)(z2-1.5z+0.6967)…

A: Here complication in calculations i am doing this in matlab please check this

Q: ssume a system function of an LTI system is 5 z H(z) z - 3 he input to the system x(n) = 2"u(n).…

Q: If z-transform of x[n] is z-1 for n20, then its ROC will be {z, such that Iz|< 1} Select one: O True…

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

Q: a) Given a sequence, (3, k 0,1, h(k) = } 1, k = 2,3 (0,otherwise i. Sketch the sequence h(k)and…

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

Question

HELP

II. PROBLEM 2
1)
Find the Zee-transform of the sequence x[k]
= u[-k].
2)
Determine the sequence x[k] whose Zee-transform is given by
X(z)
log(1+ az-), |z| > Ja|

Expert Solution

Step 1

1. We know that the z transform of a function is defined as

Z{x[k]} = $\sum_{0}^{\infty} x [k] * z^{- n}$

We know that Z{u[k]} =

$\frac{z}{z - 1} u \sin g t i m e s h i f t i n g p r o p e r t y i f Z {x [n]} = F (z) t h e n Z {x [- n]} = F (z^{- 1})$

this implies that Z{u[-k]} = $\frac{z^{- 1}}{z^{- 1} - 1}$

Step by step

Solved in 2 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Let x(n) be a causal sequence with z-transform X(z) whose pole-zero plot is shown below. Sketch the pole-zero plots and the ROC of the following sequence:
Simplify the function f (x, y, z, w) = Σ m (0, 1, 2, 4, 6, 7, 8, 9, 13, 15) with the help of K-Map.
y''-4y=e-2t Find the general solution of the second order, constant coefficient, non-homogeneous linear differential equation given below by "Laplace transform"?
Given J(a,b,c,d) = Σm(0,1,2,3,7,8,10) + Σd(5,6,11,15) 1. Determine the minimal Sum of Products (SOP) expression using a Karnaugh Map. 2. Determine the minimal Product of Sums (POS) expression using a Karnaugh Map.
Using K- Map, simplify the following Boolean expressions : Y = Σ (0, 3, 5, 7, 8, 11, 12, 13)
Using Karnaugh Maps (K-Maps), convert the following Boolean function from a sum of products form to a simplified product of sums form. F(w, x, y, z) = ∑(0, 1, 2, 5, 8, 10, 13)
c) Obtain Z-transform of (1-e-Ts )/s(1/s+1) d) The z-transform X (z) of a function X (k), is given by;X (z) =z(0.1065z +0.09021)/(z-1)(z2-1.5z+0.6967) Determine an expression for X (k), by finding the inverse z-transform function of X(z)
find the z inverse transform by using partial fractions F(z)=(z^2+z+2)/((z-1)(z^2-z+1))
F(ABC) = πM(0, 1, 3, 6) 1. Derive the minimal sum of product (SOP) form of F using a K-map 2. Derive the minimal product of sum (POS) form of F using a K-map 3. Calculate the literal cost of the minimal POS and SOP form
Given L(A,B,C,D,E) = Σm(0,2,4,6,7,8,10,11,12,13,14,16,18,19,29,30) 1. Determine the minimal Sum of Products (SOP) expression using a Karnaugh Map. 2. Determine the minimal Product of Sums (POS) expression using a Karnaugh Map.
Z-TRANSFORM SOLVE: yn+2 – 2 yn+1 + yn = 2n with y0 = 2, y1 = 1.
Use the complex translation theorem to derive the modified z-transform of f(t) = e ^-at * cosωt