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US 2007/0185708 A1Published application
Systems, methods, and apparatus for frequency-domain waveform alignment
OwnerSharath Manjunath, Ananthapadmanabhan Kandhadaiinventors
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Abstract
Systems, methods, and apparatus described include waveform alignment operations in which a single set of evaluated cosines and sines is used to calculate cross-correlations of two periodic waveforms at two different phase shifts.
Claims38
A method of aligning two periodic speech waveforms, said method comprising, for each of a plurality of first phase shifts within an evaluation range:
- evaluating at least one trigonometric function for each of a plurality of angles based on the first phase shift;
- based on the evaluated trigonometric functions of angles based on the first phase shift, calculating a first correlation measure;
- and
- based on the evaluated trigonometric functions of angles based on the first phase shift, calculating a second correlation measure,
- wherein the first correlation measure is a measure of a correlation between (A) a first one of the two periodic speech waveforms, as shifted by the first phase shift, and (B) a second one of the two periodic speech waveforms;
- and
- wherein the second correlation measure is a measure of a correlation between (C) the first one of the two periodic speech waveforms, as shifted by one of a plurality of second phase shifts which corresponds to the first phase shift and is outside the evaluation range, and (D) the second one of the two periodic speech waveforms.
4 more elements
An apparatus configured to align two periodic speech waveforms, said apparatus comprising:
- means for evaluating, for each of a plurality of first phase shifts within an evaluation range, at least one trigonometric function for each of a plurality of angles based on the first phase shift;
- and
- means for calculating, for each of the plurality of first phase shifts, (1) a first correlation measure based on the evaluated trigonometric functions of angles based on the first phase shift and (2) a second correlation measure based on the evaluated trigonometric functions of angles based on the first phase shift,
- wherein the first correlation measure is a measure of a correlation between (A) a first one of the two periodic speech waveforms, as shifted by the first phase shift, and (B) a second one of the two periodic speech waveforms;
- and
- wherein the second correlation measure is a measure of a correlation between (C) the first one of the two periodic speech waveforms, as shifted by one of a plurality of second phase shifts which corresponds to the first phase shift and is outside the evaluation range, and (D) the second one of the two periodic speech waveforms.
3 more elements
An apparatus configured to align two periodic speech waveforms, said apparatus comprising:
- a trigonometric function evaluator configured to evaluate, for each of a plurality of first phase shifts within an evaluation range, at least one trigonometric function for each of a plurality of angles based on the first phase shift;
- and
- a calculator configured to calculate, for each of the plurality of first phase shifts, (1) a first correlation measure based on the evaluated trigonometric functions of angles based on the first phase shift and (2) a second correlation measure based on the evaluated trigonometric functions of angles based on the first phase shift,
- wherein the first correlation measure is a measure of a correlation between (A) a first one of the two periodic speech waveforms, as shifted by the first phase shift, and (B) a second one of the two periodic speech waveforms;
- and
- wherein the second correlation measure is a measure of a correlation between (C) the first one of the two periodic speech waveforms, as shifted by one of a plurality of second phase shifts which corresponds to the first phase shift and is outside the evaluation range, and (D) the second one of the two periodic speech waveforms.
3 more elements
Dependencies are inferred from the claim text.