tags: ece-402

Hilbert Transform

A Hilbert Transform is an operation on a wave or signal that imparts a phase shift of $\pm90\degree$ to every frequency component of a function.

Audio Signal Processing

Within [audio signal] processing, the Hilbert Transform moves the [phase] of any [[waveform]] by $\pm90\degree$. This may or may not have any audible changes.

Example: A Hilbert Transformed Square Wave is a [square wave] made of cosine components (+90 degrees), rather than [sine] components. However, despite the change in appearance, they generally sound the same.

Hilbert Transformed Square Wave
P5.js rendition of square wave and its harmonic conjugate

Sources