WAV files in Mathematica import
With the simple command "audio=Import[path-command]", you can import data from WAV files into Mathematica. The path and the command must be enclosed in quotation marks. A help for easy path entry is in the pictures gallery given. With the following commands, you can load different elements of a WAV file:
- "Elements" will show you what information the. WAV file you can import in Mathematica
- "Audio channel" informs you about the number of the WAV file embedded channels.
- SampleRate is the sample rate
- "Audio encoding" specifies how the Samples are encoded. In General, the value between "Integer16 and Integer32 is" so the whole numbers with 16 to 32 Bit. It codes, from 4 to 64 Bits are possible.
- "Data" is a Matrix that contains in each row of the RAW data of a channel. Note: Since this Matrix contains all the audio material, it can sometimes be very large. Up to 4 GB files can be loaded. Here you should be necessarily ";" the output of the data. Since you gave the Matrix the name "audio", you can work on.
- By means of "Sound" invites Mathematica file including waveform and spectrum display, and a small Player to play the sound.
- In the "Rules" are imported all the information into a Matrix. Six rows contain "audio-channels", "audio encoding", "Data", "sampled sound list", "sample rate" and "Sound" in that order. Caution: This Matrix is significantly larger than the audio file itself, so you should be sure to press the output of the data with a ";" under.
WAV files into Mathematica to analyze and edit
The means of the Data imported RAW data can be used in Mathematica, like any other table and can be edited. The following commands are particularly useful for audio material interesting:
- In the Matrix, "audio", you can now view each value and change it to your liking.
- "Dimensions[audio]" will show you the number of rows and columns, so the number of Samples per channel.
- Using "area=Take[audio [, or[X, All]], {start value,end value}];" you can solve a part of the channel X out.
- "spectrum=Fourier[area];" makes a Fourier analysis of this part.
- Also, the spectral components can change according to your needs.
- "Re[spectrum]", "In the[spectrum]", "Abs[spectrum]" and "Arg[spectrum]" part is real, imaginary part, Amplitude and Phase of the spectral components.
WAV-files from Mathematica export
The manipulated audio data to a WAV-file, simply type "Export[path command]". Use the following commands to set the WAV-file correctly:
- Before you Export, you should normalize the data using the "audio/=Max[Abs[audio];]" to |1|. Values above 1 and below -1 are overridden.
- "SampleRate->44100" exports the audio with 44100 Samples per second.
- ""Audio encoding" -> "Integer16"" encodes the audio file with 16 Bits per Sample.
- By means of the ""audio channels"->2" you can ensure that only the first 2 channels will be exported, even if the audio material contains more channels.
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The path input in Mathematica is a bit cumbersome: paths are enclosed in quotation marks, and folders are not separated by a Slash " / "Symbol, but by two Backslashes"\\". Simply Copying the path from the Explorer is not functioning.
The path input in Mathematica is a bit cumbersome: paths are enclosed in quotation marks, and folders are not separated by a Slash " / "Symbol, but by two Backslashes"\\". Simply Copying the path from the Explorer is not functioning.
It is easiest if you choose "Insert" -> "Filepath..."...
It is easiest if you choose "Insert" -> "Filepath..."...
... and to navigate in the Explorer window of the desired file. Mathematica then record the file path in the correct spelling.
... and to navigate in the Explorer window of the desired file. Mathematica then record the file path in the correct spelling.
