Questions tagged [signal-processing]

Digital signal processing of sound, video or other single or multidimensional data

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How to Model a Parametric Fast Fourier Transform in Mathematica?

I'm using this code which evaluates the FFT of my original signal (which is a time series). Using the Manipulate function of Mathematica it is possible to vary the ...
Giuseppe Vonella's user avatar
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How to extract data from wavelet scalogram?

I've read several topics here concerning wavelets. Especially this one is very useful where in the answer is explained how to convert default Mathematica scalogram into useful one (with frequency and ...
shamil khal's user avatar
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3 answers
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Find the point with the largest slope change

I have a list of x-y data: ...
Mr.2023's user avatar
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Find knee by intersecting line method

I have an x-y data list. The data is here. It looks like below: I want to mark the knee location. I mean I need to find the point of greatest slope change and get the x coordinate of this point. ...
Mr.2023's user avatar
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Implement the constant-Q transform in a custom audio encoder

I'm working on a project in Wolfram Language where I need to implement the Constant Q Transform (CQT) in a custom audio encoder. The CQT is a time-frequency analysis method that is often used in music ...
James Linton's user avatar
2 votes
1 answer
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Implementing Izhikevich's spiking neuron model

I am trying to implement Izhikevich's simple spiking neuron model which is given by V'(t) = 0.04 V^2+5V+140-u+I u'(t) = a(bv-u) if V=30 mV then V=c, u=u+d ...
km3's user avatar
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1 answer
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Periodogram and frequency

On the x axis of periodogram, one should have either a period or frequency. What frequency is used in Periodogram --- angular or ...
atapaka's user avatar
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1 answer
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`Periodogram` returning only 1/0 error

I have a large dataset and would like to get a Periodogram (I saved the data as CloudObject): ...
atapaka's user avatar
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1 answer
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How to find the difference equation from system response or primitive equation?

If I have a system response or the primitive equation , how can i find its difference equation by mathematica? eg: ...
Shikihane's user avatar
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Calculation of CIC/FIR filter is too slow

I'm investigating the propeties of Cascoded Integrator Comb (CIC) filter. (for sigma-delta modulator application). I have 2 quesitons and below is what I have done: a). Any alternative method to ...
Ring's user avatar
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2 answers
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Signal processing from Discrete data (Discrete Fourier Transform)

I am new one to Mathematica. So excuse me if my question is not absolutely accurate. I am trying to find all isolated frequencies in Fourier domain. And then to make inverse Fourier. And finally to ...
Photonics.19's user avatar
6 votes
1 answer
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Problem with Spectrogram

Some time ago I wrote a program to analyse a short segment of music and plot as a spectrogram in Mathematica. It allows one to find the notes in a weird chord for example. The example below is from ...
RobScottSpace's user avatar
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Phase unwrapping of transfer function model for calculating group delay [duplicate]

Suppose that I have a transfer function model ...
km3's user avatar
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1 answer
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What do we get from OutputResponse[sys {u1,u2}]?

I understand what OutputResponse is doing in the first two examples below. ...
Ted Ersek's user avatar
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4 votes
1 answer
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What is this this application of KalmanEstimator doing?

I struggle to understand the Kalman filter and the documentation for KalmanEstimator. Please help me understand the first Application on that documentation page. The code in question is copied here: <...
Ted Ersek's user avatar
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2 votes
2 answers
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Why does this PhaseRange not work?

Any idea why this PhaseRange does not work? BodePlot[-(1/(s + 1000)), PlotLayout -> "Phase", PhaseRange -> {0, 2 \[Pi]}]
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How to predict the delay of a higher order digital filter

My last question on this was a minimal example. I start with the following: freq=0.1; input=Table[Sin[freq t],{t,1,250}]; I use results above in two digital ...
Ted Ersek's user avatar
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How to predict the delay of a digital filter?

I define a simple digital filter. transferFunction = TransferFunctionModel[{{{0.13793103448275862*z}}, {{-0.9 + z}}}, z,SamplingPeriod -> 1] Then I put samples ...
Ted Ersek's user avatar
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How to excite a transfer function with continuous white noise

I'm trying to get the output response of linear system represented by transfer function, once the white noise is given as an input. Here's the code:- For generating continuous noise, I'm getting help ...
Atif Qayyum's user avatar
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Why can't I use my discrete lowpass filter?

I am trying demonstrate a discrete IIR lowpass filter using the feature of RecurrenceFilter described here. This is my filter. ...
Ted Ersek's user avatar
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4 votes
1 answer
181 views

How to conciliate results between Fourier and FourierTransform?

I can't match the analytical results of a continuous-time Fourier transformation with the results I get from a discrete Fourier transform using Fourier[] in ...
Gabriel Alves's user avatar
2 votes
1 answer
144 views

Play two sounds at the same time in mathematica. For example the inventions of Bach NO.8

I use mathematica to play the Inventions No8 by Bach. I want to play the two parts (by right and left hands )at the same time. But I don't know how to do it. Can you help me? Thank you! ...
plus Plus's user avatar
2 votes
0 answers
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Finding recurrence relation from an inexact numerical sequence

Consider the recurrence relationship d[0] = 0; d[i_] := (1 + Sqrt[1 + 4 d[i - 1]^2])/2 /; i >= 1 which generates the following sequence (generated by using <...
TDH's user avatar
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13 votes
1 answer
796 views

Removing outliers from data

I am trying to remove outliers from the following data: ...
TDH's user avatar
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3 votes
1 answer
299 views

Audio Digital Signal Processing

Resource and strategy request I want to identify resources and strategies to implement a Mathematica based solution for audio digital signal processing (DSP) and digital to analog conversion (DAC). ...
Jagra's user avatar
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1 vote
1 answer
153 views

IIR Digital Filter: samples not matching the frequency response

So I am a small project in Mathematica involving a Chebyshev 4th order highpass filter, and to obtain its digital IIR filter with the bilinear transformation. Then I implement the differences equation ...
Granger Obliviate's user avatar
1 vote
1 answer
146 views

Microfluctuations analysis and Power spectrum

I measured a parameter over time and obtained the values below: 0,627896 0,205004 0,259237 1,059125 0,832184 0,587992 0,565537 0,527323 0,460228 0,471958 0,26696 0,75367 ...
Zarabu's user avatar
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1 answer
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Why do I get this error message from LowpassFilter?

I have a list of numbers data of length 10^7. I have values rate = 100000.; cutoff = 2000.; I try to low pass filter with ...
abwatson's user avatar
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1 vote
3 answers
300 views

Find FT and r.m.s noise of a signal

I have a signal : ...
tabi_k's user avatar
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1 answer
151 views

Where to get the "SignalSystem" mathematica package?

I am reading this book: Filter Design for Signal Processing Using MATLAB and Mathematica.It can find on the following link: https://www.wolfram.com/books/profile.cgi?id=3841 It's mathmatica examples ...
DieLianHua's user avatar
0 votes
1 answer
120 views

Building complex signals in Mathematica

How to build a particular signal in Mathematica such that we have a sine curve for half cycle, then have zeros for some time and this continues? It is simple to have the zeros for the second half ...
s6292_1997's user avatar
1 vote
0 answers
183 views

How to compute Total Harmonic Distortion (THD) for the following signal?

The signal is as follows Sin[x - j] with $j$ being ...
user_5881_24's user avatar
4 votes
2 answers
309 views

Sampling and filtering data

I'm trying to teach myself about sampling and filtering — and I'm not sure if I'm misunderstanding the concepts or misapplying Wolfram Language. I started by creating a simple test signal with ...
GeekyCool's user avatar
3 votes
1 answer
126 views

How to code a Sum Block when working with Transfer Functions?

I am working using transfer functions models with Mathematica and i am missing a basic feature like the ability to use a Sum Block. How could the model above be modeled? Considering: ...
zurg's user avatar
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1 answer
404 views

Why doesn't HighpassFilter fully remove the DC component? [duplicate]

The high pass filter is not completely removing the DC component. See the picture. Blue is the signal before filtering, green is after. Here is some background on the subject matter. I'm studying ...
Chris 's user avatar
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5 votes
0 answers
150 views

How to train each layer in a Neural Network so they optimize different loss functions in an adversarial network?

Example NetGraph to illustrate the idea (Input is an online signal with a value between -1 and 1, Noise is Gaussian Centered at 0 and standard deviation 0.1, EvilNet is constrained to output a value ...
Dropped Bass's user avatar
2 votes
0 answers
98 views

Sound steganography with `InverseSpectrogram`

Here is my code of how to hide a message inside a sound: ...
azerbajdzan's user avatar
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0 answers
87 views

How can I deconvolve a spectrum to get the information about each of the deconvolved spectra?

I have a spectrum with two peaks. I want to deconvolve it by gaussian so that I get the parametres (e.g. peak position, area, FWHM, Height) of each deconvolved spectrum. I have tried the following: <...
P Pyne's user avatar
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24 votes
2 answers
1k views

Can we use Mathematica to design an electronic active filter?

How can we use Mathematica to design an electronic implementation of an active filter?
David Keith's user avatar
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1 vote
0 answers
115 views

How to convolve two audio signal?

Can we obtain reverb effect by convolve two audio signal? Here are some example. https://www.bilibili.com/video/BV1vE411h7W2
木子何's user avatar
0 votes
1 answer
181 views

Are there some programs about inverse Fourier and Laplace transfroms?

To be more exact, I have a function F[w_,s_], where $w$ is the Fourier transform of $x$ and $s$ is the Laplace transform of $t$. Now I want to perform the double inverse transforms $s\to t$ and $w\to ...
Blueka's user avatar
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1 vote
0 answers
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SpectrogramArray timescale

I have a 600 second @ 8000 Hz WAV file which need to be analyzed in detail in terms of events (red parts in plot) defined in time and frequency that need to be rather exact, in particular the ...
Hans W's user avatar
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1 vote
0 answers
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Is there some programs about the fast inverse descrete time Fourier transform

At first, I give the definition of the inverse discrete-time Fourier transform $$\phi(s)=\frac{1}{2\pi}\int_{-\pi}^{\pi}\exp(iks)f(k)dk$$ Here what I use is ...
Blueka's user avatar
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1 vote
1 answer
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DSP filter problem in the simulation of a Lock-In amplifier

I wanted To explain to students how a Lock-In amplifier works. The best way is to simulate the behaviour of one. However, in my program, I get unexpected behaviour, which I suspect has to do with ...
majeriisli's user avatar
1 vote
1 answer
161 views

Noise filtering in audio

I was given audio with white Gaussian noise and i have to implement two types of filter: Rectangle and Triangle that filter out redundant frequencies and reduce the amount of noise Here is the code ...
omaraw's user avatar
  • 41
0 votes
1 answer
227 views

obtain the phase between two signals [duplicate]

I would like to calculate the phase between two signals like f= Table[Sin[x-0.8],{x,-100,100,0.1}] g= Table[Sin[x],{x,-100,100,0.1}] For doing that I use the <...
F.Mark's user avatar
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2 votes
1 answer
308 views

Amplitude and Phase of a Periodic Signal (Fourier Series) [closed]

Please consider the following periodic signal (by "w" I mean Omega naught): f(t)= Cos(wt)+3sin(2wt)+5cos(6wt) How to plot its amplitude and phase spectrum exactly like the format and pattern ...
Joe's user avatar
  • 53
3 votes
1 answer
2k views

how to plot the amplitude and phase spectrum of a Fourier Transform in this specific pattern?

I'd like to plot the Amplitude, and phase angle spectrum of the FourierTransform[Exp[-a t] UnitStep[t], t, ω, FourierParameters -> {1, -1}] (The Fourier ...
Joe's user avatar
  • 53
4 votes
1 answer
156 views

Finding group delay of transfer function

I'm having trouble finding the group delay of a transfer function. I've seen a solved question on here about finding the group delay, but I want to understand why my method doesn't work. Here is some ...
sgdsgyhetwaraw's user avatar
2 votes
0 answers
99 views

How can i use Butterworth filter written in matlab to Mathematica

i need help to convert this code written in matlab about Butterworth filter: ...
Iman Khaki's user avatar

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