Here's a nice example with the Fast Fourier Transform (an algorithm for computing the Dicrete Fourier Transform more efficiently): Source: PCA and Fourier Anal

Here's a nice example with the Fast Fourier Transform (an algorithm for computing the Dicrete Fourier Transform more efficiently): Source: PCA and Fourier Analysis (2010) J Banfelder, Weill Cornell Medical College > "A beautiful example of how this knowledge can be used in medicine is found in the cochlear implant. This device is used in patients with inner ear damage. The entire mechanical transduction mechanism is bypassed when the device is implanted. Instead, a microphone worn on the outer ear records sound that is digitized and sent to a signal processor. Here an FFT and an array of bandpass filters are applied. Results are passed to the implanted device, which electrically stimulates the neurons in the cochlea. Typical devices divide the frequency range of 0 to 4 kHz into about 15 or 20 bands, and stimulate neurons accordingly. However, profoundly deaf patients have recovered their hearing and have been able to understand speech even when as few as five bands are used." See also: https://allsignalprocessing.com/lessons/the-four-fourier-representations/ https://allsignalprocessing.com/lessons/the-four-fourier-rep...