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Kaiser window vs Kaiser-Bessel window

Hi, I am trying to use Kaiser-Bessel window before FFT. However, I am a bit confused about what is the difference between Kaiser and Kaiser-Bessel window. There is a definition of Kaiser window: http://en.wikipedia.org/wiki/Kaiser_window and also definition of Kaiser-Bessel derived (KBD) wi...

bessel space

If I transform the image to bessel space before calculate it's derivative: x = -10:10; T = besseli(x,s,1); im = imfilter(im,T'*T,'symmetric','same','corr'); Can it(bessel filter) surpress the noise introduced by derivative filters? ...

image filtering using bessel function/filters

Hi, I have been asked to design a program in Matlab which calculates the FFT of an image, then defocus the image using a Bessel filter, and reconstruct the defocussed image. Now, I find that only analog models of Bessel filters are available in Matlab, though i found a link to a pdf which shows v...

Bessel Filter (Digital)

Hi, I want to implement a bessel filter (Digital) (in c++, well but that i can think of my own how to implement it in c++, right now i just want to know how to implement it!!). Can you please guide me? (I'll fetch you further details abt. the filter viz. 4-pole etc. , once i get started). I want ba...

Detection of Bessel components of a received PM signal

Hi My current work involves estimation of modulation index for a PM signal with or without subcarriers. I have found articles to do the same without subcarriers, but I am yet to find something which might work when subcarriers are included. An important method to estimate the modulation index (wh...

problem math bessel function

All, I have a series of other questions, but before i get to those ones, i'm stuck on one part of an equation that appears on page 304 of Digital Communications 4th Ed, Proakis. It's equation 5.4-18 and i can't seem to understand how the equality between the integral of the exponential funct...

bessel filter

does any body know how to determine the analog prototype of a bessel filter??? thanks ...

Bessel function simplification problem

All, I'm trying to simplifiy the following equation for the zero'th order modified Bessel function of the first kind. I'm using the approximation for the Bessel function as Io(z) = exp(z)/sqrt(2*pi*z) I would like to have the natural logarithm of this function log(Io(z)) = log(exp(z) ...

Approximation to Bessel Function in Integrand

Hello, I am trying to find a closed-form solution (or reasonable approximation) to the following integral: integral(x^p*ln(x)*exp(-x^2)*besseli(0,2*x),x=0..infinity), where p is a constant and besseli(0,2*x) is the zeroth order Bessel function of the first kind. I have already looked thr...

Help me with bessel filter concepts

I am implementing a Crossover in c sharp platform. I have already implemented 24th order Butterworth and Linkwitz Riley filters. Now I need to implement 24th order Bessel filter with cascaded biquad sections. Can any of you help me with the procedure? Regards Gangadhar ...

Higher order Bessel filter

Can anybody give me an idea on how to implement nth order bessel filter with cascaded biquad sections? I am able to implement higher order Butterworth with cascaded biquads by following equations given in the link http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt I found that to design fi...

pdf of product of two dependent rv

Hello, I am facing problem in finding the pdf of Z= AB+CD, where A, B, C, D are independent normal random variables with zero mean and uneqaul variances. I could bale to find out the pdf's of each term (i.e. AB or CD). It is a well known result that AB has a pdf of modifie...

Re: reconstruction filter

I am not using a Bessel filter, but an elliptic filter. I dont want to use an dds ic as I am going to use an FPGA to do the DDS so I can generate other waveforms and arbitrary waveforms. I will have to use a Bessel filter for the aribitray because of the time domain characteristic. ...

Is 'Bessel' digital lowpass filter standard?

Hi, I'm trying to design a simple IIR lowpass filter with the following specs: fs = 2.4kHz fc = 150Hz order = 3 or 4 The most important aspect is that the ringing (overshoot) shouldn't be higher than about 3%. When using a 3rd order Butterworth, I get about 9% overshoot, which is too much. ...

FIR all pass and Bessel Function unit sample response

Once upon a time I wrote a nonlinear program to compute the unit sample response (i.e. to "design") FIR filters with the following characteristics: 1) Minimax solution to all pass. 2) The unit sample response could not be the trivial single unit sample - rather, it had to have: a) "leng...

FM Demodulation

I have an application where I need to detect an unmodulated tone at a fixed baseband frequency on an FM carrier. The mod index of the tone is quite low, such that only the first Bessel pair of FM sidebands is significant. Can I demodulate the tone by directly detecting its Bessel components ...

Parametric description of Transfter function for 4th order Bessel filter

Hi, Does anyone know of a parameteric description for the transfer function (in Laplace domain) of a 4th order Bessel Thompson LPF, in terms of its 3dB bandwidth? If not, is there an empirical way to scale the filter coeffs to get a specific 3dB cut off point? Thanks, Venugopal ...

Re: Relationship of Basis Functions and Sampling Rate

Fred Marshall wrote: (snip) < I don't like saying "basis functions" when one means a sinusoid in < particular. There are others including sincs, etc. So, it's best to < say what you mean. The basis functions of the Fourier transforms are sinusoids. There is, for example, the F...

Re: Band limited function zero crossings, how many?

"Bob Cain" wrote in message news:c12t9o0ddg@enews3.newsguy.com... > > Do you know of applications wherein the prolate spheroid > decomposition has been used? > > > Bob > -- Hello Bob, I have a sort of answer. IIRC, when various types of windows were being designed one optim...

Re: Low Order IIR filter to approximate 1 second and 5 second moving averages

Randy Yates wrote: > You could try designing an IIR of chosen order using FDLS (frequency > domain least squares), using the moving average as a goal. Mathematics is experimental science, LOL I found that the best pole only approximation of a moving averager is a Bessel filter of t...

Bessel Filter

Hi I am trying to apply a bessel filter in C to data I pull from an oscilliscope. This is my first attempt at signal processing so excuse any idiocy that might follow. Is this the correct method; Take Z transform of data and find poles and zeros as its a discrete time signal Transfer to S d...

Accursed Bessel Functions!

OK: I'm posting this because I'm lazy. I haven't even _tried_ to look this up yet, or to attempt to choke an answer out of Maxima. If there _is_ an answer, I'm sure it'll be a Bessel function, and those things always hit me like headlights do a deer. So, anyone feel like some math hand-h...

Re: can the bessel filter be directly designed in digital domain?

Thanks Rune, Regards Bharat > On 11 Mar, 12:22, "bharat pathak" wrote: > > Can the bessel filter (of course IIR) be designed directly in > > digital domain? > > Well, you would need the usual round trip with pre-warping, > s-domain design of prototype, BLT... > > > If so what...

Re: Why window in time domain before FFT?

On Nov 3, 3:23 pm, robert bristow-johnson wrote: .> ... .> Kaiser tried (and .> succeeded very well) to put an optimal expression of this tradeoff, .> getting the best side-lobe performance for a fixed main lobe width, .> and then even introduced a window shape parameter (called "beta"...

Re: a question about fft in matlab

nic@gmail.com wrote: > hello guys, > > This may be a simple question for some of you but I am confused and > will really appreciate your help. > > I have a semi circular 1D signal (assuming all values outside the > circular diameter are 0). I want to recover the width of the signal ...

Re: cross-discipline job descriptions

On Thu, 16 Dec 2010 02:58:44 -0500, "Michael A. Terrell" wrote: > > Rune Allnor wrote: > > > > On Dec 16, 12:15 am, Jerry Avins wrote: > > > On Dec 15, 5:43 pm, "m...@sushi.com" wrote: > > > > > > > On Dec 15, 6:04 am, Jerry Avins wrote: > > > > > > ... > > ...

Re: An Interesting Historical Paper on Sampling

On Sep 6, 12:07 pm, HardySpicer wrote: > ... > > I like at the end that they say the Sampling theory is attributed to > Shannon-Nyquist etc etc but don't put the guy who was Historically > first first! Whittaker. This is a characteristic tendency of human groups to award naming statu...

Help on cascaded filter freq correction

I've figured out the cutoff frequency correction factor necessary to force a 2-pole Bessel lowpass filter to exhibit 3 dB of power attenuation at the cutoff frequency I specify, for a single pass of the filter. The problem is, if I stack up multiple passes, I can't seem to get it right. Here...

Re: true meaning of bandwidth

stevepierson wrote: (snip) > it tells me what orthogonal basis function was used in the transform. Well, you usually don't have so much choice for the basis functions, but yes. Harmonic implies sine/cosine basis. > the op comment "The notion of a single pure frequency belongs only to ...

Re: Hi, in DSP what do U mean by a 'Freq Component'...

Jerry Avins wrote: > shakes_ck wrote:(snip) > > By the way, Just like "Any signal can be expressed as the sum of > > sinusoids", Is it also possible to "express any signal as the sum of > > 'some other'(Non-Sinusoid) signals".....I mean "Sinusoids" is the > > only solution OR are there...

THD digital FM demod

Hi, I have designed a digital FM demodulator... I have a 70 MHz FI signal that I downconvert to baseband This demodulator works fine with Analog Bessel 24 order filter on I and Q signals before demodulating. When I change this filter with a digital FIR filter (phase lineartity) I have a ...

Re: IIR Gaussian Transition filters

On Wed, 29 Sep 2010 08:18:48 -0700, "Pete Fraser" wrote: > Is there any software around that designs Gaussian transition > filters? ScopeIIR and Matlab both deal with most of the > Zverev standards, but neither deals with GT. What is the difference between a Gaussian filter and a Gaussian...

KB-Window

What is the identity (formula) of a Kaiser-Bessel window. I need something like W[n] = F(n,alpha)= .........? ...

Recipes for non-ripple 2-pole filters available

For the newbies here (like me): I have compiled recipes (step by step instructions) for coding three kinds of 2-pole digital filters, both low-pass and high-pass, complete with correction factors to ensure that the 3 dB cutoff frequency stays where you put it when you cascade filters togethe...

Re: Linear Phase via 'Phase Cloning' New Method

Hi, If you are interested then you can work on the following problem. Linear phase IIR design (not the bessel one, bessel has strong rolloff in passband). Normally in matlab, we do this design as 2 step process: 1. Design IIR filter (elliptic/chebyshev/butterworth) 2. Design the...

Re: The inherent periodicity of the Discrete Fourier Transform

Thomas Richter wrote: (snip) > I'm writing this from a perspective of a mathematician; that is, I tell > you "Here my fellow engineers, we have a very nice operator on a finite > dimensional vector space. What do you want to do about it?". (-; > Whether its domain is assumed to be...

Re: Convolution Tutorial

Tim Wescott wrote: (snip) > Because they're easier to turn out on a lathe, of course! That was the reason we were told we needed to learn about Bessel functions. Objects made on a lathe have cylindrical symmetry. -- glen ...

Anti-Aliasing filter

If you are estimating time-delay bewteen two microphones would it be better to use a Bessel filter for anti-aliasing rather than a Butterworth due to the approximate linear phase. Wang King ...

Re: FIR taps for fractional delay

On Feb 8, 10:57=A0am, John wrote: > I have created a fractional delay line with resolution 1/L of the > input sample time by interpolating a lowpass FIR prototype by L and > extracting subfilters by striding through the interpolated response > starting at different points. The various sub...

bartlet

hi folks, i have a term project about high-pass bessel filter with fstop = 200Hz and fPass = 400Hz, there's no big deal in "iir" design, i could overcome it, but at the "fir" design i was asked to perform this by a "bartlett window" and my brain is almost to explode, i can't find any articles, any t...