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Re: What is the Laplace transform of an ideal low pass filter?

"lucy" wrote in message news:1134502603.115693.72580@g43g2000cwa.googlegroups.com... > I failed to integrate the exponential kernel against the sinc > function... > > Does anybody know what is the Laplace transform of an ideal low pass > filter? If you will admit the Bilateral Lap...

Re: Fourier Transform challenge

Raymond Toy wrote: > > > > > > "John" == John writes: > > > John> MATLAB: > John> fourier(exp(-x-exp(-x))) > > John> ans = > > John> gamma(1+i*w) > > Are you sure it didn't say something like gamma(1+i*w,1)? > > I have a table of Laplace transfo...

Re: sinc() question

"Clay S. Turner" wrote: > [...] > Integrating sin(x)/x can be done > as in the above link or it can easily done by contour integration of an > analytic extention of the original integral. Isn't the inverse Fourier transform a special case of the inverse Laplace transform, and the inverse...

Re: Low freq "analog" of Nyquist? ( possibly naive question )

"Glen Herrmannsfeldt" wrote in message news:qSaOa.58648$fG.41271@sccrnsc01... > > "Fred Marshall" wrote in message > news:tj4Na.2297$Jk5.1256042@feed2.centurytel.net... > > > I didn't ever say anything about differential equations - although I know > > that you had earlier wh...

Re: Negative Frequencies

Jerry, Fred: [snip] > > As I tried to say before, which agrees with your notation above, if all you > > care about is the time domain, then you can use the real number notation. > > That it can be expressed as the sum of complex numbers isn't an issue > > if that's all you want to d...

Re: Pole/Zero/Impulse response

On Sat, 9 Aug 2003 09:34:48 -0400, "Clay S. Turner" wrote: > Hello Robert, > > Yes, I'm referring to the Heaviside expansion theorem. While it is true that > it doesn't hand Medhi's answer over on a silver platter, but it does allow > one to go and dig into the problem some. Certainly th...

Re: Log Sweep Alogorithm

In article f917933c.0308290847.70804a90@posting.google.com, Gregory Pruden at gregory@incessant.com wrote on 08/29/2003 12:47: > After reviewing this paper: > http://iem.kug.ac.at/~noisternig/iem/bt2003/literature/Mueller_sweep for some reason i can't get the site to respond, so i'll be ma...

Re: S-Parameters, Z-Transforms and Stability.

llabakudas@yahoo.com (Lord Labakudas) wrote in message news: ... > Hello DSP folks, > > This question has been bothering me for a long time since I took my > Microwave Engineering course: > > Suppose we have a linear system H(z) we can easily find its poles and > zeros and perform s...

Re: Independent study of math for DSP

In article vs75rfgustug97@corp.supernews.com, Mike at electrocole@charter.net wrote on 11/25/2003 13:02: > I have an "Electronic technician" education and work experience background. > I want to study DSP on my own. The highest level of math that I presently > understand is pre-calculus mat...

DFT and Z Transform Differences?

"Rune Allnor" wrote in message news:f56893ae.0312101617.4e9da046@posting.google.com... > MCTimes@21cn.com (Hakuna M. C.) wrote in message news: ... > > Hi all, > > I am using a frequency operator to act as a differentiator like > > > > i*w d/dt > > here w is the frequ...

Re: Gain of an IIR Filter

On Sep 3, 11:21 am, Andor wrote: > Randy Yates wrote: > > Randy Yates writes: > > > In general, the frequency response of a digital filter (IIR or FIR) > > > is determined by evaluating H(z) at z = e^{j*2*pi*f*Ts}, where Ts is > > > the sample period and f is the frequency at whi...

Re: Fast response filter?

"Luiz Carlos" wrote in message news:3fd8f66b.0401230509.38272b12@posting.google.com... > Martin, > > Somebody here said: sin(x)/x. (Now obvious!) > So, I'll ask for something a little bit different: > I want an example for a causal signal that has bandlimited spectrum. Luiz Carlos...

Re: equivalence between Z-transform and Laplace-Transform

AG wrote: > Hi Tim, -- snip -- > > > The term "damping ratio" is much more slippery when you're talking > > about discrete-time systems. Assuming that I'm not messing up the > > math, if you find the pole locations of your transfer function, z_0 = > > e^{jw + q) then the "damping...

Re: FIR roots and frequency response

In article c1iqi205el@enews3.newsguy.com, Bob Cain at arcane@arcanemethods.com wrote on 02/25/2004 13:46: > robert bristow-johnson wrote: > > > again, how do you show, that for a filter that has all zeros inside the unit > > circle (or in the left half s-plane for continuous-time) that s...

Re: what is the z-transform of sinc function?

In article c1qqaq$cn1$1@mozo.cc.purdue.edu, Joenyim Kim at jeonyimkim80@yahoo.com wrote on 02/28/2004 14:35: > Can anybody tell me what is the z-transform of "sinc" function and what is > its region of convergence? i thought originally that it's a homework problem, but i wonder if it is s...

Re: Linear System Properties?

"Till Crueger" wrote in message news:c41ho7$13u4$1@f1node01.rhrz.uni-bonn.de... > Hi, > I have some simple questions about the properties of linear systems. In a > linear System we have to assume the properties of homogeneity, additivity > and shift invariance. > In a DSP book I read...

Re: Simple z-transform question

?ine Canby wrote: > Hi, > > The transfer function for a lossy integrater is > > H(z) = z/(z-c) > > the magnitude spectrum is given by > > M(f) = |z|/|z-c| > > so lets say I have a c value of 0.8, how do I plot M(f)? I simply > tried plugging in values for z ni the ra...

Re: Why do we need allpass filter?Why is the frequency negative?

Lee wrote: > Hi, > > Some questions I cannot understand right now. Could you do me a > favor?Thanks, > > Question 1: > I can understand lowpass filter, highpass filter and bandpass filter. > But why do we need allpass filter?Since we need all frequency passed, > why we add an all...

Laplace to Z transform for second order lag.

I have a problem with verifying the results for the conversion of a Laplace transform to a z transform. The Laplace transform is in a table and is: (b-a)/((s+a)*(s+b)) The z transform for this transfer function is: ( z*(exp(-a*T)-exp(-b*T))/((z-exp(-a*T)*(z-exp(-b*T)) Now let: a=1 b=2 T...

Re: All subjects in season ...

Stephan M. Bernsee wrote: > > > it looks > > > like you're correlating (exponentially?) decaying cosines with your > > > signal, probably with a higher "forgetting factor" for the upper > > > frequencies, at a stride of one sample (the equivalent to a so-called > > > "sliding transform"). > ...

Imp.inv/bilinear trans. vs. expm()

Hi, What is the reason to that dicrete IIR filters are usually designed using impulse invariant transformation (= Euler integration) or bilinear transformation (= trapetzoidal integration) instead of the closed form solution that can be computed by the matrix exponential function? At least...

Re: IIR oscillator with damping

DJTB wrote in message news: ... > May be this is a stupid question, but can I use the Z Tansform to convert > any function to a difference equation? No. There are some restrictions, but none are very serious since you start out with filters and transfer functions. First of all, the Z ...

Re: Bilinear Transformation

Hello Randy, I experienced what you have discovered, and basically I handle converting analog filter designs based on mapping a frequency point in the analog domain to a point in the discrete domain. So starting with the bilinear transform z-1 s = c ---- z+1 A...

comp.dsp FAQ [1 of 4]

Archive-name: dsp-faq/part1 Last-modified: Tue Oct 19 2004 URL: http://www.bdti.com/faq/ FAQs (Frequently asked questions with answers) on Digital Signal Processing The world-wide web version of the comp.dsp FAQ is maintained and sponsored by Berkeley Design Technology, Inc....

Re: does anybody know a convinient way of converting between w and f?

[BG] Responses embedded below... "lucy" wrote in message news:clfaoc$19j$1@news.Stanford.EDU... > In the title, "w" denotes Omega, which is 2*pi*f; "f" is the variable in > frequency domain. > > I am trying to understand Oppenheim's Signal & Systems and Discrete-Time > Signal pro...

equivalence between Z-transform and Laplace-Transform

Hi all, I am studying a digital phase locked loop. The closed loop filter of this loop has the following Z-Transform : H(z) = ((K1+K2)*z^-1 - K1*z^-2) / (1 + (K1+K2-2)*z^-1 + (1-K1)*z^-2) I would like to know the damping factor and the natural pulse of the equivalent time continuous fi...

Re: Tough Fourier Transform problem, part 2

"Robert Israel" wrote in message news:cmmoma$d38$1@nntp.itservices.ubc.ca... > In article , > Bob Adams wrote: > > I made an error in my previous post; please use this one instead! > > > I am having difficulty solving the Fourier Transform of the following > > complex time sig...

A Sound Mathematical Basis For Sampling - Lesson 3

A Sound Mathematical Basis For Sampling - Lesson 3 -------------------------------------------------- Good Morning, once again, Boys and Girls! I'm sorry that I got called away yesterday; SWMBO, indeed, MBO! Today I'll derive for you the mathematics of sampling, based on an analysis of t...

Re: inverse laplace transform

"Tim Wescott" wrote in message news:wYGdnbPA6obFKjTe4p2dnA@web-ster.com... > Bhaskar Thiagarajan wrote: > > Hi all > > > > I'm working on trying to model a non-linear system (described by a second > > order differential eqn) into a discrete IIR filter. > > Whoa! Stop right ...

Re: question about non-uniform sampling?

The AES paper I wrote in the 80's that RBJ referenced showed that if you have a "periodically-missing" sample, you can recover a bandlimited signal from the non-uniform samples as long as the bandwidth is less that 1/2 of the AVERAGE sampling rate. It's a pretty simple idea based on M-band filte...

Analytic Functions and Single Side Band Signals

> When I was in third year of Uni, we did a course on complex maths that > really threw me. It was all about analytic functions, the > Cauchy-Riemann equations, etc. and involved all sorts of integrations > of curves in the complex plane. Now I'd always been good at maths, but > what with a...

are these stabability conditions the same?

Hi all, I understood the two stability conditions: One is BIBO criteria in Fourier analysis... it says that if the impulse response is not absolute integrable, i.e. if Integrate(|h(t)|, t from -inf to inf)=inf then the system is not BIBO stable... From this criteria, an ideal low pass f...

Re: From s space to time response with FFT

Atmapuri wrote: > Hi! > > I am looking for a method that can take an s domain > transfer function and use FFT/IFFT to obtain the > discrete time domain impulse response. > > Are there any aproximations that allow that? > > Thanks! > Atmapuri. Use a Laplace transform. s doma...

Multivariable control via Transfer Matrices?

reading my old copy of 'Modern Control Engineering' by Ogata, 1970, (ok, no longer 'modern'), pg 117 describes a method of multivariable control using a 'transfer matrix' of Laplace transfer functions where Gij(s) is the transfer function from ith input to jth output. Would this be practical t...

Re: Magnitude Frequency Response

"maxyp" wrote in message news:-9Odne7iy4Whp7zfRVn-1A@giganews.com... > Hi, > > I need to plot the magnitude frequency response of a filter without using > the DFT method. > > The input to the filter (2nd order IIR) is a sequence of the form cos(nw) > (n and w vary), and I want to ...

Re: Hilbert Transforms, Analytic Signals and Analytic Functions

in article 1109882654.091294.118040@g14g2000cwa.googlegroups.com, Clay at physics@bellsouth.net wrote on 03/03/2005 15:44: > robert bristow-johnson wrote: > > > > > hey Clay, would you like a section on how, for minimum-phase filters, that > > the phase response (in radians) is the ne...

Re: Do the mathematical inverse and identity elements exist for convolution?

in article zIOdnSILWryu8vHfRVn-ug@comcast.com, James Van Buskirk at not_valid@comcast.net wrote on 04/25/2005 00:16: > Recall that the O.P. > did not claim to be a expert on the mathematics of DSP. maybe he doesn't like bragging. are you claiming to be an expert on either? > It seems ...

Who Invented the Z Transform

It's pretty easy to figure out who was responsible for the Fourier transform, ditto for the Laplace. Does anybody out there know who dreamed up the z transform (Please tell me it wasn't someone named 'Z')? ------------------------------------------- Tim Wescott Wescott Design Services h...

Laplace vs. Fourier Transform

I understand the mathematical differences between the two - e.g. - a) LT is more general b/c it is a function of a complex variable 's', whereas FT is a function of an imaginary variable (real part = 0) b) LT converges for a larger range of functions But when to use which? I have used LT ...

Re: Changing the sampling rate of an audio signal.

in article VVLIe.108880$Pf3.64017@fe2.news.blueyonder.co.uk, ma at ma@nowhere.com wrote on 08/05/2005 11:51: > Where can I find some mathematical modeling? I need to know the theory and > then use the code as a learning practice. you want theory? i'll give you theory. below is about as...