Tagged Questions
3
votes
1answer
24 views
How do I apply partial fraction expansion on $\dfrac{K}{(a+bz^{-1})(x+yz)}$?
I want to apply partial fraction expansion on $\dfrac{K}{(a+bz^{-1})(x+yz)}$. I'm not able to do it in the standard way, because one term has $z^{-1}$ term and the other has $z$. What is the approach ...
0
votes
1answer
88 views
Solving a recurrence relation using Z transform
I'm trying to solve the following recurrence using Z transforms:
For $n\in \mathbb{N}^{*}$
$T(n)=1\ for\ n< 4$
$T(n)=T(\lfloor \frac{n}{4} \rfloor)+T(\lfloor \frac{3n}{4} \rfloor)+n\ for\ n\geq ...
3
votes
0answers
2k views
Relationship Between The Z-Transform And The Laplace Transform
Below I've quoted Wikipedia's entry that relates the Z-Transform to the Laplace Transform. The part I don't understand is $z \ \stackrel{\mathrm{def}}{=}\ e^{s T}$; I thought $z$ was actually an ...
0
votes
2answers
113 views
Z-Transform Identity
I've come across an identity and would like to know if it has some sort of formal name or derivation or explanation or something! Also, I'm curious as to whether others are aware of such an identity.
...
1
vote
1answer
236 views
Discrete Laplace Tranform.
Yesterday ago I was reading how the Laplace Transform can be interpreted as the continuous analog of the discrete functional dependance of the power series $$f(x) = \sum a(n) x^n$$
This is to say, ...
