If we do the same operation to composite sound waves, the we can find out which frequencies are in the composite sound wave. It is not surprising that the composite graph of two waves’s after ‘almost Fourier Transformation’ would look like their individual result of the transformation being added on the top of each other, having a peak each at their original frequencies. As shown in the diagram below, we can use this idea of ‘almost Fourier transformation’ to find out how many different frequencies contributed to make up the composite sound wave, un-mixing the mixed bucket of paint.
This method can be used in sound editing. Lets say that you have a recording, but there is a very annoying high pitch in the back ground and you want to get rid of it. Apply this method to the sound track, and you can find the peak at the frequency at which the annoying high pitch is. Filtering that out, by just smashing the spike down on the computer, and then you will get a Fourier transform of something just like your original recording, just with ought the annoying high pitch in the background. Luckily, there is a inverse Fourier Transform that you can use to find out which signal would have produced this adjusted Fourier Transform, which is the edition of the recording that you were looking for in the first place, a version without annoying high pitch.
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