Title
A Savitzky-Golay Filtering Perspective of Dynamic Feature Computation
Abstract
We address the classical problem of delta feature computation, and interpret the operation involved in terms of Savitzky-Golay (SG) filtering. Features such as the mel-frequency cepstral coefficients (MFCCs), obtained based on short-time spectra of the speech signal, are commonly used in speech recognition tasks. In order to incorporate the dynamics of speech, auxiliary delta and delta-delta features, which are computed as temporal derivatives of the original features, are used. Typically, the delta features are computed in a smooth fashion using local least-squares (LS) polynomial fitting on each feature vector component trajectory. In the light of the original work of Savitzky and Golay, and a recent article by Schafer in IEEE Signal Processing Magazine, we interpret the dynamic feature vector computation for arbitrary derivative orders as SG filtering with a fixed impulse response. This filtering equivalence brings in significantly lower latency with no loss in accuracy, as validated by results on a TIMIT phoneme recognition task. The SG filters involved in dynamic parameter computation can be viewed as modulation filters, proposed by Hermansky.
Year
DOI
Venue
2013
10.1109/LSP.2013.2244593
Signal Processing Letters, IEEE
Keywords
DocType
Volume
filtering theory,least squares approximations,polynomial approximation,speech recognition,LS polynomial fitting,MFCC,Mel-frequency cepstral coefficients,SG filtering,Savitzky-Golay filtering,TIMIT phoneme recognition task,delta feature computation problem,dynamic feature vector computation,feature vector component trajectory,filtering equivalence,local least-square polynomial fitting,modulation filters,short-time spectra,speech recognition,speech signal,Dynamic features,Savitzky-Golay (SG) filtering,modulation filtering,speech recognition
Journal
20
Issue
ISSN
Citations 
3
1070-9908
1
PageRank 
References 
Authors
0.35
3
3
Name
Order
Citations
PageRank
Sunder Ram Krishnan110.35
Mathew Magimai-Doss210.69
Chandra Sekhar Seelamantula3487.95