Questions tagged [z-transform]
Questions regarding or involving Z or Inverse Z Transforms with respect to Electrical Engineering.
20
questions
0
votes
1answer
34 views
How can this problem be solved with partial fractions? (Zero order holder with g(s) block function)
im trying to figure out how to solve this problems for values a=2; actually im stuck, professor told me how to work it, but i cant figure out what to do exactly, we are using partial fractions inverse ...
0
votes
2answers
52 views
Inverse z transform using partial fraction
Here's my attempt at an inverse z transform using partial fraction. I was going through my textbook and it stated that all the z terms need to be converted to z inverse before using partial fraction ...
0
votes
0answers
19 views
As the ROC, both of r<1 and r>1 can be the answer?
I have to find the range of r which makes H(z) stable. There is no restriction of left sided or right sided. Then, both r<1 (z>r) and r > 1 can be the answer?
0
votes
1answer
53 views
Inverse Z-transform Problem [closed]
I'm rather stuck trying to compute the inverse Z-transform y[n] of the function below. I'm having trouble selecting the correct formulas from the table to achieve the right solution.
Any help with ...
1
vote
3answers
317 views
z-Transform Methods: Definition vs. Rectangular Rule or Tustin's Rule
The definition of the z-transform is defined as \$z = e^{sT}\$ where "s" is complex frequency for continuous-time systems and "T" is the sample period. Why are rules such as the forward rectangular ...
1
vote
2answers
635 views
Solving Difference Equation Using Z-Transform
I was trying to solve a problem given in my textbook. I have attached the solution given in the book.
I thought some modifications where needed to it and tried to solve in a different way. I ended ...
0
votes
1answer
112 views
Same z transformed function, but different answers of inverse z transform?
Given z transformed function is
E(z)=1/(z+4)
I know there are several ways to get the inverse z transform of this function.
use partial fraction
E(z)=1/(z+4)
E(z)/z=1/z(z+4) apply partial fraction ...
0
votes
0answers
258 views
How to find Z Transform of the function which is on S domain?
Given a $s$ domain function $$F(s)=\frac{3\, e^{-0.2s}+3}{s(s+3)}$$ and i have to find the Z-Transform of the function for (1)T=0.1 sec (2) T=0.3 sec
For T=0.1 sec i can write $$ 3(e^{-0.2s}+1)\...
0
votes
0answers
209 views
2nd Order transfer function to difference equations
I'm wondering if someone could check to see if my conversion of a standard second order transfer function to a difference equation is correct, and maybe also help with doing a computer implementation. ...
0
votes
1answer
140 views
Calculating discrete-time transfer function
I have a continuous function
\begin{equation}G_p(s) = {1\over s^2} \end{equation}
which I am trying to combine with a zero order hold (with a sampling time of 1 second) to produce a discrete function....
0
votes
0answers
73 views
Determining final value of the output of a discrete system
I'm going through an exam question where I've been told that the samples f(kT) of the following function
\begin{equation}{\text{F}\left(z\right)=\frac{1}{1-0.819z^{-1}}} \end{equation}
are applied to ...
2
votes
2answers
1k views
Calculating the pulse transfer function
I've been tasked with showing that the pulse transfer function G(z) of the following plant
\begin{equation}G_p(s) = {12\over (s+1)(s+4)} \end{equation} being sampled and held by a zero order hold ...
0
votes
1answer
1k views
Calculating pulse transfer function
I've been tasked with finding the pulse transfer function G(z) of the combination of the following equation
\begin{equation}G_p(s) = {10\over (s+1)(s+2)(s+3)} \end{equation}
and a zero order hold.
...
1
vote
1answer
3k views
ROC of z transform of u(-n+1)
I am having confusion regarding ROC of z transform of u(-n+1)
z transform of u(-n+1) is given by
$$X(z)=Z[u(-n+1)] =
\sum_{n=-\infty}^1 z^{-n} =\sum_{n=-1}^\infty z^n = z^{-1} + \sum_{n=0}^\infty z^...
0
votes
1answer
921 views
The process of implementing a discrete model in C++/Arduino
I have developed an embedded electronics system centered around the Arduino Due. In my application, I am controlling the force of the end effector of a rigid object using a DC motor. The feedback ...
0
votes
1answer
222 views
inverse Z-transform: 2z^2(-1/(z-.5)+1/(z-1))
Find x[n]
[]1
this is my solution, however the textbook solution is different and I was wondering what did i did wrong.
this is the textbook solution
Thank you
-4
votes
2answers
5k views
Euler's relation (e^(j*pi/4)
I am doing EE hw right now while going over my notes, I notice that my prof said that e^(jpi/4) = 1 but how?
Using Euler's, I would get e(jpi/4) = cos(pi/4) + jsin(pi/4) = 0.7071 + j0.7071
0
votes
1answer
2k views
Z Transform How to Handle the Inital Condition
I have a question about the Z transform Z{x[k+1]} = X(z)z^1. How do I account for the initial condition? In continuous systems, the analogous situation is L{x'(t)} = sX(s) -x(0). I have a equation ...
1
vote
2answers
13k views
Zero-order hold discretization?
I have some difficulties understanding something. There are several discretization methods, such as zero-order-hold (ZOH), forward euler, backward euler, tustin, et cetera.
Forward euler, backward ...
0
votes
1answer
76 views
Inverze z transform - contour integration
Here is my task:
Find inverse z transform of
$$X(z)=\frac{1}{2-3z}$$
if \$ |z|>\frac{2}{3} \$ using definition formula.
I found that $$x(n) = \frac{1}{3}(\frac{2}{3})^{n-1}u(n-1)$$ (using ...
