Method and apparatus for time-warping a digitized waveform...

Pulse or digital communications – Receivers – Particular pulse demodulator or detector

Reexamination Certificate

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C375S242000

Reexamination Certificate

active

06590946

ABSTRACT:

FIELD OF THE INVENTION
This invention relates to a method and apparatus for time-warping a digitized waveform to have an approximately fixed period, especially, though not exclusively, so as to improve the performance of a class of methods used for compressing digitized speech data for storage or for transmission over digital communication channels.
BACKGROUND OF THE INVENTION
Speech waveforms are comprised of two primary signal types, described respectively as voiced and unvoiced. Voiced signals exhibit a relatively high degree of periodicity (i.e. they have a repetitive pattern), while unvoiced signals are not periodic. The high degree of periodicity of voiced speech implies that at a given time instant, t, the amplitude of the waveform is approximately equal to the amplitude at some earlier instant, (t−T), where T, termed the period of the signal, is a continuous function of time. The greater the degree of periodicity, the greater the similarity between the signal amplitudes at t and (t−T). Varying degrees of periodicity between the extremes of purely voiced or purely unvoiced data are also possible.
In systems for storing or transmitting speech, it is common to represent a speech signal in digitized form, i.e. as a sequence of numerical values, termed samples, which represent the amplitude of the signal at discrete points on a continuous time-scale, these points being termed sampling instants. It is well known that provided the sampling instants are separated by a sufficiently small interval in time related to the maximum frequency component in the signal, the original signal at any instant on the continuous time-scale can be computed from the signal samples.
In some techniques used for compressing digitized speech data, it is usual to apply to a digitized speech signal a filter, which may be time varying, and whose effects include reducing fluctuations of the signal's spectral envelope with respect to time, and increasing the spectral flatness of the signal. For voiced speech, increasing the spectral flatness of the signal usually causes it to exhibit strong peaks once per period. These peaks are known as pitch pulses.
It is also usual in some methods of speech data compression to extract from a digitized speech signal, either after or without the filtering mentioned above, segments of data, each segment containing a finite number of signal samples, corresponding to an interval in time that is a fixed multiple of the signal period. In many systems, the set of signal samples contained in each segment is transformed into another set of data values, having properties that are more advantageous for encoding the signal. Such methods are described, for example, in “Waveform interpolation for speech coding and synthesis,” by W. B. Kleijn and J. Haagen, in
Speech Coding and Synthesis
edited by W. B. Kleijn and K. K. Paliwal (Elsevier Science Publishers, 1995). In some methods of this kind, consecutive extracted segments begin with samples corresponding to points in time separated by one period. Such methods are described, for example, in “Waveform interpolation with pitch-spaced subbands,” by W. B. Kleijn, H. Yang and E. Deprettere, in
Proc
. 5
th
Int. Conf on Spoken Language Processing
, 1998.
For the purposes of encoding the set of data values arising from each extracted segment, either after or without applying the transformations mentioned above, it is desirable for the set of data values to have the same length (the same number of data values). However since each extracted segment corresponds to an interval in time that is a fixed multiple of the signal period, and since the period varies with time, this would not be true of segments extracted from the signal directly. However it can be achieved if the signal is first time-warped so that the period is constant. Time-warping involves creating an invertible mapping that allows any instant on the original continuous time-scale, denoted t, to be associated with a point on another continuous time-scale, denoted t′. Based on this mapping it is desired to determine a set of signal values, termed warped signal samples, which are the amplitudes of the signal at time instants that correspond to points on the new time-scale separated by some constant interval.
Since, in general, the warped signal samples correspond to time instants that are different from the original sampling instants, computation of the warped signal samples involves interpolating between the samples of the original digitized signal. In principal, an objective of this process is to produce a new resampled signal with a property that some fixed interval on the new time scale, denoted T′, always corresponds to an interval of one period, as measured on the original time scale.
The objective of producing a warped signal with a fixed period is difficult to achieve precisely. However, a warping that produces an approximately constant period can be satisfactory.
BRIEF SUMMARY OF THE INVENTION
The present invention therefore seeks to provide a method and apparatus for generating a set of warped signal samples from a set of unwarped signal samples, preferably, such that the number of warped signal samples spanning an interval equal to the signal period is approximately constant.
Accordingly, in one aspect, the invention provides a method of generating a set of warped signal samples, the method comprising the steps of:
receiving a sequence of unwarped signal samples, wherein the unwarped signal samples represent the amplitudes of a continuous input signal measured at unwarped sampling instants, wherein the unwarped sampling instants are discrete points on a continuous unwarped time-scale, and wherein the sequence includes at least as many unwarped signal samples as exist in an interval of time equal to the expected maximum value of signal period, wherein signal period is a slowly varying function of time such that the amplitude of a signal at a first point in time is approximately equal to the amplitude at a second point displaced from the first point by an interval equal to the signal period at the first point;
storing the received sequence in a buffer;
determining unwarped pitch pulse locations within an interval spanned by a particular analysis frame, wherein pitch pulses are strong peaks occurring once per period in the input signal, unwarped pitch pulse locations are points on the unwarped time-scale at which pitch pulses occur, and an analysis frame is a predetermined segment of samples in the buffer;
determining an invertible mapping that associates all points within an interval on the continuous unwarped time-scale spanned by the analysis frame with corresponding points on a continuous warped time-scale, such that the mapping can be completely described by a finite number of parameters, and such that if pitch pulses occur within the interval, the mapping minimizes a measure of deviation between warped pitch pulse locations and a predetermined set of desired warped pitch pulse locations, wherein warped pitch pulse locations are points on the warped scale with which the mapping associates the unwarped pitch pulse locations;
determining warped sampling instants, wherein warped sampling instants are points on the original time-scale that are within the time interval spanned by the analysis frame, and which correspond to predefined points on the warped scale; and
interpolating between the unwarped signal samples to compute a set of warped signal samples, wherein the warped signal samples are the values of the continuous input signal at the warped sampling instants.
In one preferred embodiment, the mapping between the unwarped and warped time-scales is such that points on the unwarped scale separated by one period are associated with points on the warped scale that are separated approximately by a warped period, wherein the warped period is a predetermined fixed interval. Further, in a preferred embodiment, the desired warped pitch pulse locations are points on the warped time-scale that are separated by exactly one warped period. Preferably

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