Robust exponential modeling of audio signals

We present a numerically robust method for modeling audio signals which is based on a exponential data model. This model is a generalization of the classical sinusoidal model in the sense that it allows the amplitude of the sinusoids to evolve exponentially. We show that, using this model, so called attacks can be represented very efficiently and we propose an algorithm for finding the exponentials in a robust way. Moreover, we show that by using a proper segmentation of the input data into variable length segments the signal-to-noise ratio can be drastically improved as compared to a fixed-length analysis.