All-Pole Model

An all-pole model is a mathematical method used to analyze and recreate signals, especially in audio processing like speech. It represents a signal's characteristics using only poles in a mathematical filter, capturing how the signal naturally resonates and decays over time. This approach simplifies complex sounds into a set of parameters, making it easier to analyze, compress, or synthesize speech. Essentially, it models how the voice’s natural vibrations and resonances shape the sound, providing an efficient way to understand and reproduce speech-like signals without using zeros (which represent anti-resonances).