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DSP-impulse invariance method

Now, I use the impulse invariance to design a lowpass filter. I need to find the H(s) from pole pairs. I don't know how toconvert H(s) to H(z). Can anyone help me? Thanks!! Laura ...

Re: Independent vs uncorrelated

The confusion is thus: In an earlier post you implied Uncorrelated ------> rotational invariance ....(A) and Spherical Symmetry --------> rotational invariance ....(B) (B) may be accepted as an axiom of spherical symmetry, while (A) has been proven in an earlier post. What i...

Re: resume of the defintion of a linear system

On 14 May 2004 05:10:45 -0700, kriari21@yahoo.co.uk (Odisseas) wrote: > Dear all, > > there is sometime now that I am trying to solve a simple(??) problem > and I experience difficulties. > > The problem is this. I am trying to give a brief resume of the > definition > and basic propert...

Re: DFT Symmetry with Complex Input

Rune Allnor wrote: > Jerry Avins wrote: > > > Rune Allnor wrote: > > > > ... > > > > > > > Humm... I agree with you in your general comment about signal > > > representations, but I think my first statement can be defended. > > > The complex exponentials _are_ the basis functi...

gain response

I have to design Chebyshev type I analog lowpass filter and transform it to digital filter using impinvar() and bilinear(). Then I have to plot the gain response for both methods and do comparisons. However, the gain response take in the input of g of 20log10(H)?? function X = invariance(fs) ...

gain response

I have to design Chebyshev type I analog lowpass filter and transform it to digital filter using impinvar() and bilinear(). Then I have to plot the gain response for both methods and do comparisons. However, the gain response take in the input of g of 20log10(H)?? function X = invariance(fs) ...

Question about IIR filter design using Impulse Invariance method

I am designing low pass IIR filter using Impulse Invariance method. I've got transfer function H(z) which depends on impulse sample period T. I was asked to choose an appropriate impulse sample period T for H(z) such that the input signal x(t) = 5 cos(2pi(8000)t ? pi/3) ? 4 cos(2pi(40000)t +...

Re: convolution

On Aug 12, 1:16 am, gyansor...@gmail.com wrote: > On Aug 12, 5:05 pm, lee wrote: > > > hi guys.....i am beginner in dsp..... > > Can somebody tell me the physical meaning of convolution.....wht does > > it do actually?? > > It's the process that a linear system has to perform in ...

Re: How to show y(t)=x(-t+1) is not time-invariant?

kiki wrote: > Can anybody give the proof step-by-step and not handwaving...? > > As you can see, I still don't quite understand. Hey Kiki, there is only one way to check for time invariance and that's using its definition. It says that a system is time invariant iff shifting the inpu...

Re: LTI system and Non LTI system

"Abdul" wrote in message news:cuslvf$52c$1@rzsun03.rrz.uni-hamburg.de... > Hi, > > Let > > X(n)-----> Input Discreate Time Sequnece. > H(n)-----> Impulse response of the system. > Y(n)-----> Output Discreate time Sequnece. > > X(Z), Y(Z) are the z trasfroms of Input &...

Re: Analog to digital filter conversion

I found the examples in Richard Lyons, Understanding Digital Signal Processing book to be very helpful in understanding the application of implementing the Bilinear Transform, as well as the Impulse Invariance Method, when I began studying DSP. In the book, he takes you through the process ste...

Re: Conversion from S-domain to Z-domain?

yijun_lily@yahoo.com wrote: > Hello, > > Is the bilinear the only way to convert from S-domain to Z-domain? > > I am thinking of the relationship among poles and zeros in these > differenct domains. Can we just map the pole and zeros in S-domain > into the poles and zeros in Z-domain...

question about interchanging limit and operator in system theory

Hi all, x'(t)=limit (x(t)-x(t-h))/h, h -> 0 where " ' " denotes the deriviative. Let's use "L" denotes the operator of LTI system Given L(x(t))=y(t), I want to show that L(x'(t)) = y'(t) I have to interchange the order of the limit and the system operator L, as follows: L(x'(t))...

Re: de-emphasis filter

On May 2, 1:41 pm, "drew" wrote: > I'm trying to design a digital IIR de-emphasis filter with sampling > frequency 48 kHz and time constants T1=50us and T2=15us. I've used Matlab > to perform a bilinear transform of this continuous time specification, but > it seems that the frequency war...

Re: inverse laplace transform

Bhaskar Thiagarajan wrote: > I'm working on trying to model a non-linear system (described by a second > order differential eqn) into a discrete IIR filter. I guess I'm trying to > follow the impulse invariance IIR filter design method. > > In the laplace domain, the transfer function loo...

Re: Blinded by math. Was "How does an inverter affect phase?"

Jerry Avins wrote: .=2E. > Phase is a continuous function. To define a special phase with only two > discrete values as an "explanation" is mere sophistry. Calling a tail a > leg doesn't make it one. Jerry, this whole discussion is pointless, because you never defined what you mean by a "...

Re: DFT and resonance -- question

Michael wrote: > > If anybody knows of an algorithm that 'removes' overtones from a > spectrogram, or alternatively identifies the probability of a given > frequency being a fundamental vs overtone given the intervals between > very-present frequencies above it, figuring out the integer ...

Re: how to prove that y=x((cos(t))^2 is not Time Invariant?

novellover wrote: > Ooops, it should be y(t)=x((cos(t))^2), > > by the way, I created this problem myself... > > So please never ask if it is homework problem. > > NEVER!!! Otherwise it would be considered as offending. > > My questions are all original. > > And also pleas...

Re: LTI

shoma wrote: > Let a0, a1, . . . , aM be any finite sequence of real numbers. > > Define a system L by L(X) := X * (a0, a1, . . . , aM), where X is any > discrete signal. > > Show that L is a linear time invariant system and that it's unit response > function is h where, > > ...

Linear System Properties?

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 that from these properties you can conclude that a sine wave as input will always produce a sine wav...

Re: Linear Time Variant systems

Vladimir Vassilevsky wrote in message news: ... > Rune Allnor wrote: > > > > [Skip] > > > Is the time variant system itself nonlinear, or is it just that no linear > > method of dealing with such systems has been found? > > > > Any thoughts? > > > The system w...

Re: time-varying dynamic system

robert.w.adams@verizon.net wrote: > ... My question was about whether or not it "converges" in the sense that > if the frequency becomes infinitely low, it approaches a single value > that is only dependant on when the impulse was applied, (and the amplitude > of course). I think the answ...

Re: why is an image non-stationary?

kiki wrote: > Hi all, > > I am not sure I completely understood... > > but I've heard people say that an image is non-stationary, blah blah blah, > > what does that mean? > > and what does that imply? > > I vaguely heard that people say since an image is not-stationary...

Re: A Text book on DSP!

Raja wrote: > [...] > 2) Here is this book, "Introduction to Applied Mathematics" by Gilbert > Strang. I wanted to know that if someone takes it is up as a first text > for understanding DSP (things like FFT and Z transform) then how would > it be. Can someone kindly give a through review ...

Re: why we want to do folding while performing convolution

steve wrote: > intuitively why do you need to flip it? I don't know The folding/flipping/convolving pops straight out as a result of the intuitive arguments behind and derivation of the convolution sum formula. The flipping as such may not be "intuitive", but once you have derived the conv...

Periodicity , shift invariance and stationarity

Continuing with Tim Wescott's article I would like to ask following question Periodic signals are defined as signal which repeats after certain period i.e mathematically, f(t)=f(t+p), where p is time period (say, time domain signal). Can this signal be called as "shift invariant"? Als...

Re: Acoustic Beamformer

Rune may be underestimating the difficulty. Frequency invariant over several octaves and steerable in any direction makes a tough design. If you can mechanically steer the sensor to the desired direction would make things easier because you cah use a disk. Log tapering the sensors in ...

Basic understanding problem of continuous-time to discrete-time conversion

Hello, Assuming I have a time-continuous first-order lowpass filter given by the transfer function 1 Wc Hc(jW) = --------- = ------- 1 + jW/Wc Wc + jW where W is the (continuous-time) frequency in rad/s and Wc is the (continuous-time) 3dB-cutoff freq...

Re: Basic systems question: Is this system time-invariant?

Bernhard Holzmayer wrote: > David Kirkland wrote: > > > kiki wrote: > > > y(t)=x(2*t - 2) - x(-3*t + 5 ) > > > > > > where x(t) is the input, y(t) is the output of the system. > > > > > > Is this system time-invariant? > > > > > > Thanks a lot! > > > > > > ...

Re: MLE : Random Vs Deterministic

Hello. > Start with your own explanation of the deterministic model above, > and note in particular the word "known." > > If you have a situation where you *know* what type of signals > you will get, then deterministic methods might work. However, > that's a powerful constraint. Popul...

Re: Exam revision

Noway2 wrote: > Jerry Avins wrote: > > > Noway2 wrote: > > > > ... > > > > > > > It sounds like you are being asked to describe the pros and cons of > > > both FIR filters implemented using the DFT and IIR filters. > > > > ... > > > > There are few FIRs that can be implement...

Re: Is a voltage controlled oscillator system time invariant?

Dear Rune, I'm happy that we agree on a philosophical level. However there are some points I want to clear up. In my initial questions I defined: y(t)=T_VCO[x(t)] which is a rather crude model of a Voltage Controlled Oscillator. The importance of such a model is that we can use logic to state s...

Re: Uniqueness of Sinusoidal waves

Tim Wescott wrote: > glen herrmannsfeldt wrote: > > Sandeep Chikkerur wrote: > > > We know about the uniqueness abt sinusoidal waves when applied to a > > > linear system... (snip) > > For a linear system, including a system that includes integrals and > > derivatives sinusoid i...

Re: Allpass Filter Matlab Functions

"Jerry Avins" wrote in message news:2uuv3cF2fi5tlU1@uni-berlin.de... > Juha wrote: > ... > > > See > > > > P. Regalia and S. Mitra, "Tunable digital frequency response > > equalization filters," IEEE Trans. Acoust., Speech, Signal Processing, > > Vol. 35, No. 1, pp. 118-12...

Re: How can I calculate filter's coefficients by the impuls characteristic?

vsp76@mail.ru (Sergey) writes: > Hi everybody! > > Excuse me for easy question - I'm novice in DSP. I know how look my > signal without noises and I wanna use matched filter in my work to > dampf the noise. > > I heard what the Matched filter is the best choise for such task and I ...

Re: Be it resolved ...

"Jerry Avins" wrote in message news:4058698A.4010303@ieee.org... > ... that given the present bandwidth limits on a US TV channel, 441 line > images would yield higher resolution than the standard 512 lines. > [...] Your math is fine, but it doesn't argue for the superiority of either...

Re: For math challenged - what is the Walsh-Hadamard transform?

> Are there physical systems that are naturally described by > Walsh-Hadamard transforms ... ? Unlikely. Rader put it nicely in his bookreview ( IEEE ASP August 1984 ) on the book by Elliott, Rao " Fast Transforms ..." Academic Press 1982: "With the next chapter begins the description of...

Re: overlap-scrap-tail filtering -- was Re: Convolution versus LPFiltering

On Wed, 25 Feb 2004 17:41:03 -0500, Jerry Avins wrote: > But then it isn't a start-up transient. The ordinary operation of a > usual FIR has output less than perfect until as many samples have been > accepted as the filter has taps. It is possible to suppress the output > until that number o...

Re: FFT & averaging

If you look at what started the argument, I claimed that " Unitarity is necessary [for fast correlation to work]. Correlation is the inner product between two vectors. Unitarity implies that the inner product is invariant under the transform -- that is why you can compute the inner product be...

Re: Crosstalk question

Andor, thank you very much for pointing me into this direction! I googled a bit for deconvolution and for deconvolution & crosstalk and found a lot of interesting references. While i was still martering my brain with the mathematics to be found there, it suddenly came to my mind that, given th...