![]() ![]() The sample rate is the number of samples taken per second from a continuous signal (the sound file) in order to store it as a discrete data structure (the numpy array returned by wavfile). In Cell 2 this file is read in using scipy's wavfile ( documentation), which returns two data structures: the sample rate and the sound wave as a numpy array. I played very slowly so that when we plot the sound wave, the notes would be spread out and easily distinguishable to the human eye. wav file of me playing Happy Birthday on guitar. Otherwise, if you attempt to import a library that is not installed, you will get the following error: ModuleNotFoundError: No module named. ![]() If done correctly, this cell should return nothing. For example, to install matplotlib, I simply ran !pip3 install matplotlib directly in the notebook. The libraries must be installed before importing, which I did using pip3 installation. Any Python environment is fine as long as the version is compatible with the libraries used below and is able to print and plot data.Īll code used in this post is available on my public github repo, to which I will make cell references throughout so that you can follow along line-by-line.Ĭell 1 imports all necessary libraries used hereafter. Preparing your Python environmentįor my coding environment I used Python 3.9.6 with Visual Studio Code notebooks (documentation here). ![]() I cannot speak more highly of Professor Kutz his engaging content and published works are primarily what inspired this tutorial. Prior knowledge of Fourier or Gabor transforms is not necessary.įor those interested in gaining a deeper theoretical understanding, I would strongly recommend Chapter 13 of Data-Driven Modeling & Scientific Computation as well as the accompanying lecture by the author, J. The following post requires an understanding of undergraduate-level calculus and basic Python skills. The reader should be well-versed in advanced functions, integrals, for loops and numpy arrays. With the use of a sliding filter, this post walks through the Python code to conduct a time-frequency analysis of a song in order to convert it to musical notes. The Fourier transform is a mathematical function that converts waves in the time domain to the frequency domain. ![]()
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