Paper: | SPTM-P7.8 |
Session: | Stationary Signals and Spectrum Analysis |
Time: | Thursday, May 18, 10:00 - 12:00 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Stationary Signals and Spectrum Analysis |
Title: |
Efficient Kalman Smoothing for Harmonic State-Space Models |
Authors: |
David Barber, IDIAP Research Institute, Switzerland |
Abstract: |
Harmonic probabilistic models are common in signal analysis. Framed as a linear-Gaussian state-space model, smoothed inference scales as O(TH^2) where H is twice the number of frequencies in the model and T is the length of the time-series. Due to their central role in acoustic modelling, fast effective inference in this model is of some considerable interest. We present a form of `rotation-corrected' low-rank approximation for the backward pass of the Rauch-Tung-Striebel smoother. This provides an effective approximation with computation complexity O(TSH) where S is the rank of the approximation. |