Multiple impulse excitation speech encoder and decoder

Abstract

A version of a speech signal and an output of a pitch synthesis filter and a linear predictive all-pole (LPC) filter is received. A system impulse response is produced based on in part the received pitch synthesis filter and LPC output. An excitation pulse location is determined so that the determined location minimizes an error between the speech signal version and the system impulse response. The speech signal is encoded with a representation of the determined location.

Description

BACKGROUND

[0002] This invention relates to digital voice coders performing at relatively low voice rates but maintaining high voice quality. In particular, it relates to improved multipulse linear predictive voice coders.

[0003] The multipulse coder incorporates the linear predictive all-pole filter (LPC filter). The basic function of a multipulse coder is finding a suitable excitation pattern for the LPC all-pole filter which produces an output that closely matches the original speech waveform. The excitation signal is a series of weighted impulses. The weight values and impulse locations are found in a systematic manner. The selection of a weight and location of an excitation impulse is obtained by minimizing an error criterion between the all-pole filter output and the original speech signal. Some multipulse coders incorporate a perceptual weighting filter in the error criterion function. This filter serves to frequency weight the error which in essence allows more error in the format regions of the speech signal and less in low energy portions of the spectrum. Incorporation of pitch filters improve the performance, of multipulse speech coders. This is done by modeling the long term redundancy of the speech signal thereby allowing the excitation signal to account for the pitch related properties of the signal.

SUMMARY

[0004] A version of a speech signal and an output of a pitch synthesis filter and a linear predictive all-pole (LPC) filter is received. A system impulse response is produced based on in part the received pitch synthesis filter and LPC output. An excitation pulse location is determined so that the determined location minimizes an error between the speech signal version and the system impulse response. The speech signal is encoded with a representation of the determined location.

BRIEF DESCRIPTION OF THE DRAWING(S)

[0005] FIG. 1 is a block diagram of an 8 kbps multipulse LPC speech coder.

[0006] FIG. 2 is a block diagram of a sample/hold and A/D circuit used in the system of FIG. 1.

[0007] FIG. 3 is a block diagram of the spectral whitening circuit of FIG. 1.

[0008] FIG. 4 is a block diagram of the perceptual speech weighting circuit of FIG. 1.

[0009] FIG. 5 is a block diagram of the reflection coefficient quantization circuit of FIG. 1.

[0010] FIG. 6 is a block diagram of the LPC interpolation/weighting circuit of FIG. 1.

[0011] FIG. 7 is a flow chart diagram of the pitch analysis block of FIG. 1.

[0012] FIG. 8 is a flow chart diagram of the multipulse analysis block of FIG. 1.

[0013] FIG. 9 is a block diagram of the impulse response generator of FIG. 1.

[0014] FIG. 10 is a block diagram of the perceptual synthesizer circuit of FIG. 1.

[0015] FIG. 11 is a block diagram of the ringdown generator circuit of FIG. 1.

[0016] FIG. 12 is a diagrammatic view of the factorial tables address storage used in the system of FIG. 1.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT(S)

[0017] This invention incorporates improvements to the prior art of multipulse coders, specifically, a new type LPC spectral quantization, pitch filter implementation, incorporation of pitch synthesis filter in the multipulse analysis, and excitation encoding/decoding.

[0018] Shown in FIG. 1 is a block diagram of an 8 kbps multipulse LPC speech coder, generally designated 10.

[0019] It comprises a pre-emphasis block 12 to receive the speech signals s(n). The pre-emphasized signals are applied to an LPC analysis block 14 as well as to a spectral whitening block 16 and to a perceptually weighted speech block 18.

[0020] The output of the block 14 is applied to a reflection coefficient quantization and LPC conversion block 20, whose output is applied both to the bit packing block 22 and to an LPC interpolation/weighting block 24.

[0021] The output from block 20 to block 24 is indicated at α and the outputs from block 24 are indicated at α, α1 and at αρ, α1ρ.

[0022] The signal α, α1 is applied to the spectral whitening block 16 and the signal αρ, α1ρ is applied to the impulse generation block 26.

[0023] The output of spectral whitening block 16 is applied to the pitch analysis block 28 whose output is applied to quantizer block 30. The quantized output {circumflex over (p)} from quantizer is applied to the bit packer 22 and also as a second input to the impulse response generation block 26. The output of block 26, indicated at h(n), is applied to the multiple analysis block 32.

[0024] The perceptual weighting block 18 receives both outputs from block 24 and its output, indicated at Sp(n), is applied to an adder 34 which also receives the output r(n) from a ringdown generator 36. The ringdown component r(n) is a fixed signal due to the contributions of the previous frames. The output x(n) of the adder 34 is applied as a second input to the multipulse analysis block 32. The two outputs Ê and Ĝ of the multipulse analysis block 32 are fed to the bit packing block 22.

[0025] The signals α, α1, p and Ê, Ĝ are fed to the perceptual synthesizer block 38 whose output y(n), comprising the combined weighted reflection coefficients, quantized spectral coefficients and multipulse analysis signals of previous frames, is applied to the block delay N/240. The output of block 40 is applied to the ringdown generator 36.

[0026] The output of the block 22 is fed to the synthesizer/postfilter 42.

[0027] The operation of the aforesaid system is described as follows: The original speech is digitized using sample/hold and A/D circuitry 44 comprising a sample and hold block 46 and an analog to digital block 48. (FIG. 2). The sampling rate is 8 kHz. The digitized speech signal, s(n), is analyzed on a block basis, meaning that before analysis can begin, N samples of s(n) must be acquired. Once a block of speech samples s(n) is acquired, it is passed to the preemphasis filter 12 which has a z-transform function

P(z)= 1−α*z−1  (1)

[0028] It is then passed to the LPC analysis block 14 from which the signal K is fed to the reflection coefficient quantizer and LPC converter whitening block 20, (shown in detail in FIG. 3). The LPC analysis block 14 produces LPC reflection coefficients which are related to the all-pole filter coefficients. The reflection coefficients are then quantized in block 20 in the manner shown in detail in FIG. 5 wherein two sets of quantizer tables are previously stored. One set has been designed using training databases based on voiced speech, while the other has been designed using unvoiced speech. The reflection coefficients are quantized twice; once using the voiced quantizer 48 and once using the unvoiced quantizer 50. Each quantized set of reflection coefficients is converted to its respective spectral coefficients, as at 52 and 54, which, in turn, enables the computation of the log-spectral distance between the unquantized spectrum and the quantized spectrum. The set of quantized reflection coefficients which produces the smaller log-spectral distance shown at 56, is then retained. The retained reflection coefficient parameters are encoded for transmission and also converted to the corresponding all-pole LPC filter coefficients in block 58.

[0029] Following the reflection quantization and LPC coefficient conversion, the LPC filter parameters are interpolated using the scheme described herein. As previously discussed, LPC analysis is performed on speech of block length N which corresponds to N/8000 seconds (sampling rate=8000 Hz). Therefore, a set of filter coefficients is generated for every N samples of speech or every N/8000 sec.

[0030] In order to enhance spectral trajectory tracking, the LPC filter parameters are interpolated on a sub-frame basis at block 24 where the sub-frame rate is twice the frame rate. The interpolation scheme is implemented (as shown in detail in FIG. 6) as follows: let the LPC filter coefficients for frame k-1 be α0 and for frame k be α1. The filter coefficients for the first sub-frame of frame k is then

+E,uns α=(+E,uns α0++E,uns α1)/2  (2)

[0031] and α1 parameters are applied to the second sub-frame. Therefore a different set of LPC filter parameters are available every 0.5*(N/8000) sec.

[0032] Pitch Analysis

[0033] Prior methods of pitch filter implementation for multipulse LPC coders have focused on closed loop pitch analysis methods (U.S. Pat. No. 4,701,954). However, such closed loop methods are computationally expensive. In the present invention the pitch analysis procedure indicated by block 28, is performed in an open loop manner on the speech spectral residual signal. Open loop methods have reduced computational requirements. The spectral residual signal is generated using the inverse LPC filter which can be represented in the z-transform domain as A(z); A(z)=1/H(z) where H(z) is the LPC all-pole filter. This is known as spectral whitening and is represented by block 16. This block 16 is shown in detail in FIG. 3. The spectral whitening process removes the short-time sample correlation which in turn enhances pitch analysis.

[0034] A flow chart diagram of the pitch analysis block 28 of FIG. 1 is shown in FIG. 7. The first step in the pitch analysis process is the collection of N samples of the spectral residual signal. This spectral residual signal is obtained from the pre-emphasized speech signal by the method illustrated in FIG. 3. These residual samples are appended to the prior K retained residual samples to form a segment, r(n), where −K<n <N.

[0035] The autocorrelation Q(i) is performed for π≦i≦πh or 1$\begin{array}{cc}Q\left(i\right)=\sum _{n=-K}^{N}r\left(n\right)r\left(n-i\right){\tau }_1\le i\le {\tau }_h& \left(3\right)\end{array}$

[0036] The limits of i are arbitrary but for speech sounds a typical range is between 20 and 147 (assuming 8 kHz sampling). The next step is to search Q(i) for the max value, M1, where

M 1 =max(Q(i))=Q(k1)  (4)

[0037] The value k is stored and Q (k1−1), Q (k1) and Q (K1+1) are set to a large negative value.

[0038] We next find a second value M2 where

M 2 =max(Q(i))=Q (k2) (5)

[0039] The values k1 and k2 correspond to delay values that produce the two largest correlation values. The values k1 and k2 are used to check for pitch period doubling. The following algorithm is employed: If the ABS (k2−2k1)<C, where C can be chosen to be equal to the number of taps (3 in this invention), then the delay value, D, is equal to k2 otherwise D=k1. Once the frame delay value, D, is chosen the 3-tap gain terms are solved by first computing the matrix and vector values in eq. (6). 2$\begin{array}{cc}\left[\begin{array}{c}\sum r\left(i\right)r\left(n-\tau -1\right)\\ \sum r\left(n\right)r\left(n-i\right)\\ \sum r\left(n\right)r\left(n-i+1\right)\end{array}\right]=[\begin{array}{ccc}\sum r\left(n-i-1\right)r\left(n-i-1\right)& \sum r\left(n-i\right)r\left(n-i-1\right)& \sum r\left(n-i+1\right)r\left(n-i-1\right)\\ \sum r\left(n-i-1\right)r\left(n-i\right)& \sum r\left(n-i\right)r\left(n-i\right)& \sum r\left(n-i+1\right)r\left(n-i\right)\\ \sum r\left(n-i-1\right)r\left(n-i+1\right)& \sum r\left(n-i\right)r\left(n-i+1\right)& \sum r\left(n-i+1\right)r\left(n-i+1\right)\end{array}]& \left(6\right)\\ & \end{array}$

[0040] The matrix is solved using the Choleski matrix decomposition. Once the gain values are calculated, they are quantized using a 32 word vector codebook. The codebook index along with the frame delay parameter are transmitted. The {circumflex over (P)} signifies the quantized delay value and index of the gain codebook.

[0041] Excitation Analysis

[0042] Multipulse's name stems from the operation of exciting a vocal tract model with multiple impulses. A location and amplitude of an excitation pulse is chosen by minimizing the mean-squared error between the real and synthetic speech signals. This system incorporates the perceptual weighting filter 18. A detailed flow chart of the multipulse analysis is shown in FIG. 8. The method of determining a pulse location and amplitude is accomplished in a systematic manner. The basic algorithm can be described as follows: let h(n) be the system impulse response of the pitch analysis filter and the LPC analysis filter in cascade; the synthetic speech is the system's response to the multipulse excitation. This is indicated as the excitation convolved with the system response or 3$\begin{array}{cc}\hat{s}\left(n\right)=\sum _{k=1}^n\mathrm{ex}\left(k\right)h\left(n-k\right)& \left(7\right)\end{array}$

[0043] where ex(n) is a set of weighted impulses located at positions n1, n2, . . . nj or

ex (n)=β1δ(n−n1)+β2δ(n−n2)+. . . +βjδ(n−nj)  (8)

[0044] The synthetic speech can be re-written as 4$\begin{array}{cc}\hat{s}\left(n\right)=\sum _{j=1}^j{\beta }_{j}h\left(n-n_j\right)& \left(9\right)\end{array}$

[0045] In the present invention, the excitation pulse search is performed one pulse at a time, therefore j=1. The error between the real and synthetic speech is

e (n)=sp(n)−ŝ(n)−r(n)  (10)

[0046] The squared error 5$\begin{array}{cc}E=\sum _{n=1}^N{e}^2\left(n\right)\mathrm{or}& \left(11\right)\\ E=\sum _{n=1}^N{\left(s_p\left(n\right)-\hat{s}\left(n\right)-r\left(n\right)\right)}^2& \left(12\right)\end{array}$

[0047] where sp(n) is the original speech after pre-emphasis and perceptual weighting (FIG. 4) and r(n) is a fixed signal component due to the previous frames' contributions and is referred to as the ringdown component.

[0048] FIGS. 10 and 11 show the manner in which this signal is generated, FIG. 10 illustrating the perceptual synthesizer 38 and FIG. 11 illustrating the ringdown generator 36. The squared error is now written as 6$\begin{array}{cc}E=\sum _{n=1}^N(x\left(n\right)-{\beta }_1{h\left(n-n_j\right)}^2& \left(13\right)\end{array}$

[0049] where x(n) is the speech signal sp(n)−r(n) as shown in FIG. 1.

E=S− 2BC+B2H  (14)

[0050] where 7$\begin{array}{cc}C=\sum _{n=1}^{N-1}x\left(n\right)h\left(n-n_j\right)\mathrm{and}& \left(15\right)\\ S=\sum _{n=1}^{N-1}{x}^2\left(n\right)\mathrm{and}& \left(16\right)\\ H=\sum _{n=1}^{N-1}h(n-n_{1}h\left(n-n_1\right)& \left(17\right)\end{array}$

[0051] The error, E, is minimized by setting the dE/dB=0 or

dE/dB=− 2C +2HB =0  (18)

[0052] or

B=CH   (19)

[0053] The error, E, can then be written as

E=S−C 2 /H   (20)

[0054] From the above equations it is evident that two signals are required for multipulse analysis, namely h(n) and x(n). These two signals are input to the multipulse analysis block 32.

[0055] The first step in excitation analysis is to generate the system impulse response. The system impulse response is the concatentation of the 3-tap pitch synthesis filter and the LPC weighted filter. The impulse response filter has the z-transform: 8$\begin{array}{cc}{H}_p\left(z\right)=\frac{1}{1-\sum _{i=1}^3{b}_1{z}^{-\tau -i}}\frac{1}{1-\sum _{\tau =1}^{\rho }{\alpha }_i{\mu }^1{z}^{-1}}& \left(20\right)\end{array}$

[0056] The b values are the pitch gain coefficients, the α values are the spectral filter coefficients, and μ is a filter weighting coefficient. The error signal, e(n), can be written in the z-transform domain as

E (z)=X(z)−BHp(z)z−n1  (21)

[0057] where X(z) is the z-transform of x(n) previously defined.

[0058] The impulse response weight β and impulse response time shift location n1 are computed by minimizing the energy of the error signal, e(n). The time shift variable n1 (1=1 for first pulse) is now varied from 1 to N. The value of n.sub.1 is chosen such that it produces the smallest energy error E. Once n1 is found β1 can be calculated. Once the first location, n1 and impulse weight, β1, are determined the synthetic signal is written as

ŝ (n)=β1h(n−n1)  (22)

[0059] When two weighted impulses are considered in the excitation sequence, the error energy can be written as

E=Σ (x(n)−β1h(n−n1)−β2h(n−n2))2

[0060] Since the first pulse weight and location are known, the equation is rewritten as

E=Σ (x′(n)−β2h(n−n2))2  (23)

[0061] where

x′ (n)=x(n)−β1h(n−n2)  (24)

[0062] The procedure for determining β2 and n2 is identical to that of determining β1 and n1. This procedure can be repeated p times. In the present instancetion p=5. The excitation pulse locations are encoded using an enumerative encoding scheme.

[0063] Excitation Encoding

[0064] A normal encoding scheme for 5 pulse locations would take 5*Int(log2 N+0.5), where N is the number of possible locations. For p=5 and N=80, 35 bits are required. The approach taken here is to employ an enumerative encoding scheme. For the same conditions, the number of bits required is 25 bits. The first step is to order the pulse locations (i.e. 0L1≦L2≦L3≦L4≦L5N−1 where L1=min(n1, n2, n3, n4, n5) etc.). The 25 bit number, B, is: 9$B=\left(\begin{array}{c}\mathrm{L1}\\ 1\end{array}\right)+\left(\begin{array}{c}\mathrm{L2}\\ 2\end{array}\right)+\left(\begin{array}{c}\mathrm{L3}\\ 3\end{array}\right)+\left(\begin{array}{c}\mathrm{L4}\\ 4\end{array}\right)+\left(\begin{array}{c}\mathrm{L5}\\ 5\end{array}\right)$

[0065] Computing the 5 sets of factorials is prohibitive on a DSP device, therefore the approach taken here is to pre-compute the values and store them on a DSP ROM. This is shown in FIG. 12. Many of the numbers require double precision (32 bits). A quick calculation yields a required storage (for N=80) of 790 words ((N−1)*2*5). This amount of storage can be reduced by first realizing 10$\left(\begin{array}{c}\mathrm{L1}\\ 1\end{array}\right)\&AutoRightMatch;$

[0066] is simply L 1; therefore no storage is required. Secondly, 11$\left(\begin{array}{c}\mathrm{L2}\\ 2\end{array}\right)\&AutoRightMatch;$

[0067] contains only single precision numbers; therefore storage can be reduced to 553 words. The code is written such that the five addresses are computed from the pulse locations starting with the 5th location (Assumes pulse location range from 1 to 80). The address of the 5th pulse is 2*L5+393. The factor of 2 is due to double precision storage of L5's elements. The address of L4 is 2*L4+235, for L3, 2*L3+77, for L2, L2−1. The numbers stored at these locations are added and a 25-bit number representing the unique set of locations is produced. A block diagram of the enumerative encoding schemes is listed.

[0068] Excitation Decoding

[0069] Decoding the 25-bit word at the receiver involves repeated subtractions. For example, given B is the 25-bit word, the 5th location is found by finding the value X such that 12$B\underset{⋮}{-}\left(\begin{array}{c}79\\ 5\end{array}\right)<0$$B-\left(\begin{array}{c}X\\ 5\end{array}\right)<0$$B-\left(\begin{array}{c}X-1\\ 5\end{array}\right)>0$

[0070] then L5=x-1. Next let 13$B=B-\left(\begin{array}{c}\mathrm{L5}\\ 5\end{array}\right)$

[0071] The fourth pulse location is found by finding a value X such that 14$B\underset{⋮}{-}\left(\begin{array}{c}\mathrm{L5}-1\\ 4\end{array}\right)<0$$B-\left(\begin{array}{c}X\\ 4\end{array}\right)<0$$B-\left(\begin{array}{c}X-1\\ 4\end{array}\right)>0$

[0072] then L4=X−1. This is repeated for L3 and L2. The remaining number is L1.

Claims

1. A method for determining an excitation pulse location in a speech signal for use in encoding the speech signal, the method comprising: receiving a version of the speech signal and an output of a pitch synthesis filter and a linear predictive all-pole (LPC) filter; producing a system impulse response based on in part the received pitch synthesis filter and LPC filter output; determining an excitation pulse location so that the determined location minimizes an error between the speech signal version and the system impulse response; and encoding the speech signal with a representation of the determined location.

2. The method of claim 1 further comprising determining an excitation pulse weight associated with the determined location so that the determined location weighted by the determined weight minimizes the error.

3. The method of claim 2 further comprising determining a plurality of additional excitation pulse locations and weights by minimizing a remaining error between the speech signal subtracted by any previously determined location weighted by its associated excitation pulse weight and the system impulse response.

4. The method of claim 3 wherein the plurality of additional locations numbers four and the encoding the speech signal further comprises encoding the speech signal with a representation of the four additional locations.

5. The method of claim 1 wherein the error minimizing is performed by determining a minimum mean-squared error.

6. The method of claim 1 wherein the producing the system impulse response is based on in part a concatenation of the pitch synthesis filter and the LPC filter output.

7. The method of claim 1 wherein the pitch synthesis filter output is a 3-tap pitch synthesis filter output.

8. A speech encoding system for use in determining an excitation pulse location in a speech signal for use in encoding the speech signal, the system comprising: a generate impulse response block for receiving an output of a pitch synthesis filter and a linear predictive all-pole (LPC) filter and producing a system impulse response; a multipulse analysis block for receiving a version of the speech signal and the system impulse response and determining an excitation pulse location so that the determined location minimizes an error between the speech signal version and the system impulse response; and a bit packing block for encoding the speech signal with a representation of the determined location.

9. The system of claim 8 wherein the multipulse analysis block for determining an excitation pulse weight associated with the determined location so that the determined location weighted by the determined excitation pulse weight minimizes the error.

10. The system of claim 9 wherein the multipulse analysis block for determining a plurality of additional excitation locations and associated weights by minimizing a remaining error between the speech signal subtracted by any previously determined location weighted by its associated weight and the system impulse response.

11. The system of claim 10 wherein the plurality of additional locations numbers four and the encoding the speech signal further comprises encoding the speech signal with a representation of the four additional locations.

12. The system of claim 8 wherein the error minimizing is performed by determining a minimum mean-squared error.

13. The system of claim 8 wherein the producing the system impulse response is based on in part a concatenation of the pitch synthesis filter and the LPC filter output.

14. The system of claim 8 wherein the pitch synthesis filter output is an output of a 3-tap pitch synthesis filter.

15. The system of claim 8 further comprising a perceptually weight speech block for perceptually weighting a sampled speech signal as the version of the speech signal.