## Forums Search for: Z Transform

## Inverse of Non Minimum Phase System

inSuppose one takes a simple non minimum phase system with the z transform H(z) = 1 - 2*z. This system can obviously not be inverted as the pole...

Suppose one takes a simple non minimum phase system with the z transform H(z) = 1 - 2*z. This system can obviously not be inverted as the pole will lie outside the unit circle (inversion will lead to unstable impulse response). However if one tries to invert this system using Y(w) = 1/H(w) and then take the IFFT I do end up with a time domain impulse response y(t) (y(t) = IFFT(Y(w))) which i...

## How to find z-transform of this sequence?

inHi all, I am facing the following non-homework problem: The sequence Pk for k=0, 1, 2, ... has the Z-transform H(z). And define...

Hi all, I am facing the following non-homework problem: The sequence Pk for k=0, 1, 2, ... has the Z-transform H(z). And define another sequence by: Qn=Sum( (k-s)*Pk, k from n to +infinity) for n=0, 1, 2, ... where s is a constant. What should be the Z-transform of Qn sequence? Thanks a lot!

## Gain of an IIR Filter

inI have an IIR transfer function characterized by the rational Z-transform H(z) = (1 - a1*z^-1 - a2*z^-2)/(1 - b1*z^-1 - b2*z^-2) How do I...

I have an IIR transfer function characterized by the rational Z-transform H(z) = (1 - a1*z^-1 - a2*z^-2)/(1 - b1*z^-1 - b2*z^-2) How do I calculate the DC gain of this filter?? Thanks for your help Gokul

## unwrapped phase and zeros

inhi i am working on the group delay of speech signals and find that the signal is very noisy when there are too many zeros of the z transform...

hi i am working on the group delay of speech signals and find that the signal is very noisy when there are too many zeros of the z transform signal around the unit circle resulting in too many phase jumps in the resulting phase function. Why do zeros on the unit circle affect the unwrapped phase so? I am not sure why this is but find an explanation that: The degree (no of 2 pi's) of wra...

## Two DSP theoretical questions

inHi, I have two questions which seem somewhat basic but confuse me: 1. We know that a sequence has to be "summable" to have Fourier...

Hi, I have two questions which seem somewhat basic but confuse me: 1. We know that a sequence has to be "summable" to have Fourier Transform (ie. DTFT converges). Is this the same as saying that a "bounded" sequence will have Fourier Transform? 2. Do all sequences have z-transform? In other words, can a sequence have z-transform with no ROC (region of convergence)? Thanks in advance. ...

## prime length FFT

inHello, I have to program a general purpose FFT program an my question is about prime lengths. For radices 2,3,5,and 7 I have coded small DFT...

Hello, I have to program a general purpose FFT program an my question is about prime lengths. For radices 2,3,5,and 7 I have coded small DFT modules WFTA. For large lengths I have employed Chirp z-Transform (Bluestein). For medium length prime (11,13,...) Bluestein don't work really good, so what's your opinion about Rader's or Agarwal-Cooley for this lengths? Do you know other methods? T...

## paper application z-transform in geophysics

hi dear sir: please Iwant paper of application z- transform in geophysies Ineed your help to send me what could help me to complete my theses...

hi dear sir: please Iwant paper of application z- transform in geophysies Ineed your help to send me what could help me to complete my theses thank alot omnia rabee

## APPLICATION Z-TRANSFORM IN GEOPHYSIES

inHI I WANT HLEP ME APPLICATION Z-TRNSFORM IN GEOPHYSIES

HI I WANT HLEP ME APPLICATION Z-TRNSFORM IN GEOPHYSIES

## Single pole lowpass --> highpass - z transform?

inOk, say i have a single pole lowpass filter, 1 pole, no zero. y[0] = c.x[0] + (1-c).y[-1] This is basicly a single pole moving from (0,0) to...

Ok, say i have a single pole lowpass filter, 1 pole, no zero. y[0] = c.x[0] + (1-c).y[-1] This is basicly a single pole moving from (0,0) to (1,0) on the real axis. And normalized at DC. Now by doing this seperately after the lowpass. highpass = x[0] - y[0] You get a high pass. But i cant get my hed round where the poles (and zeros) would be? I dont really see how to combine it ...

## Creating matched filter

inHello. Could you tell me where I can find more information about creating matched filter (for example in Matlab or C) for chirp signal. I...

Hello. Could you tell me where I can find more information about creating matched filter (for example in Matlab or C) for chirp signal. I heard that based on Z transform but I can't find out more about this solution. Best regards Paul

## Using Z-transform with continous time signals

inHello, can we use Z-transform on continuous time signals to find their z-domain analysis. (what do we really realize in z-domain and how is it...

Hello, can we use Z-transform on continuous time signals to find their z-domain analysis. (what do we really realize in z-domain and how is it different from frequency domain analysis) and also can we use Laplace for discrete time signals. Also what kind of analysis/information can we get from i) Laplace Transform ii) Z Transform iii) Fourier Transform iv) Hilbert Transform (PS. n...

## First order IIR filter

inDear All, I do not have any background in DSP, so please excuse if this question seems silly. I am working on a bugfix for an IIR filter...

Dear All, I do not have any background in DSP, so please excuse if this question seems silly. I am working on a bugfix for an IIR filter implementation in C. It takes samples from ADC and filters them. Filtering is done by an First order IIR filter. The transfer function is as follows: /* First order IIR filter z-transform(formula): [ 2^-n/(1-(2^-n)) ] ...

## why should I apply a transform ?

inhi..., => DFT, DCT, DWT, => Z-transform, Laplace transform..etc and the list goes on...... keep all this aside for 10 min for the...

hi..., => DFT, DCT, DWT, => Z-transform, Laplace transform..etc and the list goes on...... keep all this aside for 10 min for the sake of discussion Lets talk...about.., Q) Why should I transform any signal ? this is the question which is bothering me a lot.. Excluding these reasons any other new stuff from you people 1) to reduce Redundancy 2) to perform the job of f

## z-transform of unit hydrograph help !

inHi i have a free online article : root selection methods in...

Hi i have a free online article : root selection methods in flood analysis http://www.hydrol-earth-syst-sci.net/7/151/2003/hess-7-151-2003.html and there is a z transform for the unit hydrograph for a single reservoir (Nash-cascade) i can't figure out how its made ! in the time domaine single reservoir is y=1/K*exp(- t/K) general form for n- reservoirs y=[ ( 1/( K*(n-1)! ) )* (x/K)...

## From Z-transform to Laplace

inHello, I have a transfer function from ARMA or AR model having some high order. I want to obtain H(s). My approach is to assume that H(s) will...

Hello, I have a transfer function from ARMA or AR model having some high order. I want to obtain H(s). My approach is to assume that H(s) will have a form that will result in a high H(z) ARMA/AR model , and find a relation between these two!! I would appertiate any suggestion or comment,

## Differences between laplace transform, z transform and fourier transform

inHi All, I have studied three diff kinds of transforms, The laplace transform, the z transform and the fourier transform. As per my...

Hi All, I have studied three diff kinds of transforms, The laplace transform, the z transform and the fourier transform. As per my understanding the usage of the above transforms are: Laplace Transforms are used primarily in continuous signal studies, more so in realizing the analog circuit equivalent and is widely used in the study of transient behaviors of systems. The Z transform is the ...

## RoC issue in Inverse Z Transform by Power Series

inQuestion regarding Power Series method of finding IZT ------------------------------------------------------- Hello. I want to clear a doubt...

Question regarding Power Series method of finding IZT ------------------------------------------------------- Hello. I want to clear a doubt regarding Power Series method for Inverse Z-transform If I have X(z) and I'm given a RoC that says that X(z) is a two-sided sequence and I'm supposed to find the IZT by Power Series method. My view is that I would not be able to find it using the said me...

## Chirp Z tranform precision.

inHello, can someone clear up some confusion for me? This article on the Chirp Z transform (using FFT) appears to show the algorithm creating...

Hello, can someone clear up some confusion for me? This article on the Chirp Z transform (using FFT) appears to show the algorithm creating better precision by zooming in on a narrow band of frequencies. For example, the two peaks being separated in the diagrams. Link to article: http://www.embedded.com/columns/technicalinsights/17301593?_requestid=286320 I read other posts on here an...

## Numerical inversion of Z-transform?

inI'm trying to do some research into existing methods for doing numerical inverse discrete laplace transform (a.k.a.. Z-transform). My problem...

I'm trying to do some research into existing methods for doing numerical inverse discrete laplace transform (a.k.a.. Z-transform). My problem is that numerical methods are really needed when you have non-rational Z-transform expression which do not posess a closed form inverse. For rational expressions in z this is not really a problem since you can always do them "manually" (or perhaps by...

## How to implement the filter give in Z transform using matlab

inGood morning to every one. . . I am very new to this forum and not much expert in DSP field too. . . I am trying to implement a IEEE paper...

Good morning to every one. . . I am very new to this forum and not much expert in DSP field too. . . I am trying to implement a IEEE paper named "A New Delayless Subband Adaptive Filtering Algorithm for Active Noise Control Systems" published in IEEE TRANSACTIONS ON AUDIO, SPEECH, AND LANGUAGE PROCESSING july 2009. I have not done any such projects before and so i am strugling where ...