Is there a way using Core Audio on OS X to extract a set of frames in an AIFF file into an array of 32-bit floats suitable for performing an FFT on?
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Yes. The easiest way to do it is to use the ExtAudioFile API. There’s a great example in Apple’s ConvertFile sample code. Have a look at UseExtAF.cpp.
For a sample rate of 44.1 kHz, the AudioStreamBasicDescription for 32-bit floating point LPCM would look like this: