How do I write this chua oscillator to an audio file in matlab?

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SUMMARY

This discussion focuses on writing the output of a Chua oscillator MATLAB program to a WAV audio file using MATLAB's audio toolbox. The user seeks guidance on how to implement this functionality, specifically using the audiowrite function to save the computed audio data. Key parameters include adjusting the sample rate to standard frequencies, such as 44.1kHz, to ensure compatibility with audio playback. The conversation references the original MATLAB code and provides links to relevant resources for further understanding.

PREREQUISITES
  • Familiarity with MATLAB programming and syntax
  • Understanding of Chua's circuit and its differential equations
  • Knowledge of audio file formats, particularly WAV files
  • Experience with MATLAB's audio toolbox and the audiowrite function
NEXT STEPS
  • Learn how to use the audiowrite function in MATLAB for saving audio data
  • Research standard sample rates for WAV files and their implications on audio playback
  • Explore MATLAB's audio toolbox documentation for advanced audio processing techniques
  • Study Chua's circuit in detail to understand the underlying dynamics and its applications
USEFUL FOR

Audio engineers, MATLAB programmers, and researchers interested in nonlinear dynamics and audio signal processing will benefit from this discussion.

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writing chua oscillator to an audio file using matlab
hello i would like to ask how to write the solution of this matlab program to an audio file using the audio tool box or any other technique. thanks very much.
function chua_oscillator %This program is computed by S.Sabarathinam %Based on: Nonlinear Dynamics: Integrability, Chaos and Patterns,by M Lakshmanan, S Rajaseekar % to see the period doubling change the value of "r" clear all figure(1) r=1920.0; ga = -0.758d-03; gb = -0.409d-03; c1 = 10.0d-09; c2 = 100.0d-09; bind = 20.0d-03; a = r*ga; b = r*gb; alpha = c2/c1; beta=(c2*r*r)/bind; %time step and initial condition tspan = 0:0.01:500; x10 = 0.11; x20 = 0.2; x30 = -0.3; y0 = [x10; x20; x30]; [t,y] = ode45(@(t,x) f(t,x,a,b,alpha,beta),tspan,y0); x1=y(:,1); x2=y(:,2); x3=y(:,3); %plot the variable x and y plot(x1,x2) function dy = f(t,y,a,b,alpha,beta) x1 = y(1); x2 = y(2); x3 = y(3); hx=b*x1 + 0.5d0*(a-b)*(abs(x1+1.0)-abs(x1-1.0)); dx1=alpha*(x2-x1-hx); dx2=x1-x2+x3; dx3=-beta*x2; dy = [dx1; dx2; dx3];
https://www.mathworks.com/matlabcen...ads/submissions/44972/versions/1/download/zip
https://www.mathworks.com/help/audio/index.html?s_tid=srchtitle_audio_1
 
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Welcome to PF. :smile:

I didn't click on the ZIP file, but are you asking how to take the output of a MATLAB model of the circuit and write a *.wav file that you can play? Or are you asking something else.

Does the MATLAB model of the circuit use the differential equations mentioned in this Wikipedia article?

https://en.wikipedia.org/wiki/Chua's_circuit
 
thanks for your response. yes that is my question. i edited my original post to include the code.
 
Have you worked with *.wav files before? I've only worked with them a little, to process digitized audio data that was acquired at 44.1kHz. I think at the least you will want to adjust your sample rate in your code to match one of the standard *.wav sample frequencies. Maybe the audio toolbox helps you to create the header for your *.wav file that your MATLAB code will be calculating the data for...

https://ccrma.stanford.edu/courses/422-winter-2014/projects/WaveFormat/
 
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thanks a lot for your help.
 
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From https://www.mathworks.com/help/matlab/ref/audiowrite.html :
audiowrite(filename,y,Fs) writes a matrix of audio data, y, with sample rate Fs to a file called filename.​
For WAV files, there are no restrictions on the value of Fs that you write to the file, though a non-standard value might not be playable depending on what you use to play it.
 
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