Linear time-invariant (LTI) system and impulse response

[Siyu D]

This week’s videos remind me of some concepts of LTI systems.To my knowledge, LTI systems can be represented as a Toeplitz matrix with its h[0] impulse response. Here we assume the vocal tract as a LTI system and then mathematically speaking, can we construct toeplitz matrices Ts that represents the filtering effect of vocal tracts when pronouncing different sonorants and the inverse of this T is to transform the speech sound back to the original waveform before filtered.

[Simon]

Yes, LPC uses a simple linear filter that is time-invariant.

[Author]

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