What Is a Fourier Transform? How Is This Approximated by the Basilar

Question

Examlex · Accepted Answer

The Answer is A Fourier transform is a mathematical tool used to analyze the frequency components of a signal. It decomposes a function or signal into its constituent frequencies, allowing us to understand the different frequency components present in the signal.

The basilar membrane in the inner ear approximates a Fourier transform by separating incoming sound waves into their constituent frequencies. This is achieved through the physical properties of the basilar membrane, which is tuned to vibrate at different frequencies along its length. When sound waves enter the ear, they cause different parts of the basilar membrane to vibrate based on their frequency. This allows the brain to interpret the different frequencies present in the sound and perceive it as distinct pitches or tones. In this way, the basilar membrane acts as a sort of biological Fourier transform, enabling us to perceive the complex frequency content of the sounds we hear.

What Is a Fourier Transform? How Is This Approximated by the Basilar

Definitions: