Speech Processing (Vocoders)ce.sharif.edu/courses/97-98/2/ce967-1/resources/root...Various LPC-type speech analysis and synthesis methods differ primarily in the type of excitation

1

Vocoders

2

The Channel Vocoder (analyzer): The channel vocoder employs a bank of

bandpass filters, Each having a bandwidth between 100 Hz and 300

Hz.

Typically, 16-20 linear phase FIR filter are used.

The output of each filter is rectified and lowpassfiltered. The bandwidth of the lowpass filter is selected to

match the time variations in the characteristics of the vocal tract.

For measurement of the spectral magnitudes, a voicing detector and a pitch estimator are included in the speech analysis.

3

The Channel Vocoder (analyzer block diagram):

Bandpass

Filter

A/D

Converter

Lowpass

Filter

A/D

Converter

Lowpass

FilterRectifier

Rectifier

Bandpass

Filter

Voicing

detector

Pitch

detector

Encoder

S(n)To

Channel

4

The Channel Vocoder (synthesizer):

16-20 linear-phase FIR filters

Covering 0-4 kHz

Each having a bandwidth between 100-300 Hz

20-ms frames, or 50 Hz changing of spectral magnitude

LPF bandwidth: 20-25 Hz

Sampling rate of the output of the filters: 50 Hz

5


Bit rate:

1 bit for voicing detector

6 bits for pitch period

For 16 channels, each coded with 3-4 bits,

updated 50 times per second

Then the total bit rate is 2400-3200 bps

Further reductions to 1200 bps can be

achieved by exploiting frequency correlations

of the spectrum magnitude

6


At the receiver the signal samples are passed through D/A converters.

The outputs of the D/As are multiplied by the voiced or unvoiced signal sources.

The resulting signal are passed through bandpass filters.

The outputs of the bandpass filters are summed to form the synthesized speech signal.

7

The Channel Vocoder (synthesizer block diagram):

D/A

Converter

Decoder

D/A

Converter

Voicing

Information

Pitch

period

Pulse

generator

Random

Noise

generator

Bandpass

Filter

Bandpass

Filter

Switch

∑Output

speech

From

Channel

8

The Phase Vocoder :

The phase vocoder is similar to the channel vocoder.

However, instead of estimating the pitch, the phase vocoder estimates the phase derivative at the output of each filter.

By coding and transmitting the phase derivative, this vocoder destroys the phase information .

9

The Phase Vocoder(analyzer block diagram, kth channel)

nkcos nksin

nkcos

Lowpass

Filter

Encoder

Lowpass

Filter

Differentiator

Differentiator

Decimator

Decimator

Compute

Short-term

Magnitude

And

Phase

Derivative

To

Channel

S(n)

nksin

nkcos

nak

nbk

Short-term

magnitude

Short-term phase

derivative

10

The Phase Vocoder(synthesizer block diagram, kth channel)

nkcos

Interpolator

Decoder

∑

From

ChannelCos

Integrator

InterpolatorSin

Decimated

Short-term

amplitude

Decimated

Short-term

Phase

derivative

nksin

11

The Phase Vocoder :

LPF bandwidth: 50 Hz

Demodulation separation: 100 Hz

Number of filters: 25-30

Sampling rate of spectrum magnitude and phase

derivative: 50-60 samples per second

Spectral magnitude is coded using PCM or

DPCM

Phase derivative is coded linearly using 2-3 bits

The resulting bit rate is 7200 bps

12

The Formant Vocoder :

The formant vocoder can be viewed as a

type of channel vocoder that estimates the

first three or four formants in a segment of

speech.

It is this information plus the pitch period

that is encoded and transmitted to the

receiver.

13

The Formant Vocoder : Example of formant:

(a) : The spectrogram of the utterance “day one” showing the pitch and the harmonic structure of speech.

(b) : A zoomed spectrogram of the fundamental and the second harmonic.

(a) (b)

14

The Formant Vocoder (analyzer block diagram):

F3

F2

F1

PitchAnd

V/UDecoder

F3

B3

F2

B2

F1

B1

V/U

F0

Fk :The frequency of the kth formant

Bk :The bandwidth of the kth formant

Input

Speech

15

The Formant Vocoder (synthesizer block diagram):

F3

F2

F1

Excitation

Signal

F3

B3

F2

B2

F1

B1

V/U

F0

∑

16

Linear Predictive Coding : The objective of LP analysis is to estimate

parameters of an all-pole model for the vocal tract.

Several methods have been devised for generating the excitation sequence for speech synthesizes.

Various LPC-type speech analysis and synthesis methods differ primarily in the type of excitation signal generated for speech synthesis.

17

LPC 10 :

This methods is called LPC-10 because of

10 coefficient are typically employed.

LPC-10 partitions the speech into the 180

sample frame.

Pitch and voicing decision are determined

by using the AMDF and zero crossing

measures.

18

A General Discrete-Time Model For Speech Production

DT

Impulse

generator

G(z)

Glottal

Filter

Uncorrelated

Noise

generator

H(z)

Vocal tract

Filter

R(z)

LP

Filter

Voiced

Unvoiced

Pitch Gain

Gain

V

U

U(n)

Voiced

Volume

velocity

s(n)

Speech

Signal

54از 19صفحه

تعيين مرتبه پيشگويي

پيشگويي خطي

بي صدا

صدادار

54از 20صفحه



54از 21صفحه



m

Mmn

m

Mmn

ne

nsPG

1

2

1

2

][

][log10

صدادار

بي صدا

54از 22صفحه

مثال

M=4

M=10


54از 23صفحه

مثال

M=2

M=10

M=54


54از 24صفحه

M=10M=50

ايده پيشگويي خطي بلند مدت


54از 25صفحه

پيشگويي خطي بلند مدت


26صفحه

54از

مشخصات عمومي

LPC10وكدر

ضريب پيشگويي خطي به 10بخاطر ارسالLPC10 معروف.است

باشدبيت بر ثانيه مي2400نرخ ارسال برابر.نمونه در نظر گرفته شده 180ها در هر فريم برابر تعداد نمونه

.است شودبيت به ازاي هر فريم ارسال مي54تعداد. هرتز نمونه برداري شده 8000سيگنال آنالوگ ورودي آن با نرخ

.شودبيت كوانتايز مي16و با

54از 27صفحه

كد كننده

فريم بندي فيلتر پيش تاكيدآشكار سازصدا

تعيين ضرايبپيشگويي

فيلتر خطاي پيشگويي

تخمين بسامد گام

كد گذاريLPCضرايب

كد گشاييLPC

محاسبه بهره

كد گذاري بهرهكد گذاري دوره گام

Bit Encoder

سيگنال PCM

ودودي

انديسLPCضرايب

انديس بهره انديسدوره گام

رشته بيتارسالي

LPC10وكدر

28صفحه

54از

تشخيص بسامد گام

روش خود همبستگي

روش تابع تفاضل دامنه

روش YMC

m

Nmnl]s[n]s[nR[l,m]

1

m

Nmn

lnsnsmlMDF

1

][][],[

mNmneNnsbns 1 ],[][ .][

54از 29صفحه

آشكار ساز صدا

(باند پايين) محاسبه انرژي -1محاسبه نرخ عبور از صفر-2محاسبه بهره پيشگويي-3

بسامد گامتخمين

محاسبهMDF

ارسال يكي از مقادير:

T=20,21,…,39,40,42,…,80,84,…,154

كد كننده

LPC10وكدر

54از 30صفحه

LPCكوانتيزاسيون ضرايب

دوربين-حل معادله نرمال به روش لوينسون-1RCمحاسبه ضرايب -2

كد كننده

LPC10وكدر

31صفحه

54از

سنتز گفتار

سيگنال اصلي

بخش كد كننده

ريمبي صدا بودن ف/تعيين صدادار•

ت تعيين دوره گام فثط براي حال•صدادار

محاسبه بهره سيگنال•

G

ودقطار ضربه با پري

يراير دوره گام

نويز

تصادفي

مدل منبع

V/U

گفتار سنتز شده

كد گشابهره

كد كننده

LPC10وكدر

32صفحه

54از

تقسيم بندي به دو قسمت صدادار و بي صدا-1

ها قطار ضربه تن)تحريك تصادفي و قطار ضربه پريوديك جهت استفاده از نويز -2(.نمي تواند تمامي صوتهاي واكدار را ايجاد كند

حفظ نشدن فاز سيگنال اصلي-3

.استARاستفاده از قطار ضربه يك تخطي از مدل -4

محدوديتها

LPC10وكدر

33

Residual Excited LP Vocoder :

Speech quality can be improved at the

expense of a higher bit rate by computing

and transmitting a residual error, as done

in the case of DPCM.

One method is that the LPC model and

excitation parameters are estimated from

a frame of speech.

34


The speech is synthesized at the transmitter and

subtracted from the original speech signal to

form the residual error.

The residual error is quantized, coded, and

transmitted to the receiver

At the receiver the signal is synthesized by

adding the residual error to the signal generated

from the model.

The residual signal is low-pass filtered at 1000 Hz in the

analyzer to reduce bit rate

In the synthesizer, it is rectified and spectrum flattened

(using a HPF), the lowpass and highpass signals are

summed and the resulting residual error signal is used to

excite the LPC model.

RELP vocoder provides communication-quality speech

at about 9600 bps.

35


36

RELP Analyzer (type 1):

Buffer

And

window

stLP

analysis

∑

Encoder

LP

Synthesis

model

S(n)

To

ChannelExcitation

parameters

LPParameters

f (n; m) e (n; m)

Residualerror

m)}(i;a{

estimatepitch ,P

decision V/U,

estimategain ,Θ0

37

Buffer

And

window

S(n) f (n; m) Inverse

Filter

m)(z;A

Lowpass

FilterDecimator DFT Encoder

To

Channel

Prediction

Residual

m)(n;

stLP

analysis

LPParameters

m)}(i;a{

RELP Analyzer (type 2):

38

Synthesizer for a RELP vocoder

DecoderFrom

Channel

Buffer

And

ControllerInterpolator Rectifier

Highpass

Filter

Residual

LP

synthesizer

LP

model

Parameter

updates

∑

Excitation

39

RELP needs to regenerate the high-

frequency components at the decoder.

A crude approximation of the high frequencies

The multipulse LPC is a time domain

analysis-by-synthesis method that results

in a better excitation signal for the LPC

vocal system filter.

Multipulse LPC Vocoder

40

Multipulse LPC Vocoder The information concerning the excitation sequence

includes: the location of the pulses

an overall scale factor corresponding to the largest pulse amplitude

The pulse amplitudes relative to the overall scale factor

The scale factor is logarithmically quantized into 6 bits.

The amplitudes are linearly quantized into 4 bits.

The pulse locations are encoded using a differential coding scheme.

The excitation parameters are updated every 5 msec.

The LPC vocal-tract parameters and the pitch period are updated every 20 msec.

The bit rate is 9600 bps.

41

Analysis-by-synthesis coder

)/(ˆ

)(ˆ

)(ˆ

)/(ˆ)(

czA

zA

z

czzW

A stored sequence from a Gaussian

excitation codebook is scaled and used to

excite the cascade of a pitch synthesis filter

and the LPC synthesis filter

The synthetic speech is compared with the

original speech

Residual error signal is weighted

perceptually by a filter

42

Obtaining the multipulse excitation:(Analysis by synthesis method)

LP

Synthesis

filter

Buffer

And

LP analysis

Multipulse

Excitation

generator

Error

minimization

Perceptual

Weighting

filter W(z)

∑m)(n;f

m)f(n;

s(n)

Input speech

m)(n;

m)(n;W

+-Pitch

Synthesis

(z)filterΘp

P

43

Code Excited LP :

CELP is an analysis-by-synthesis method

in which the excitation sequence is

selected from a codebook of zero-mean

Gaussian sequence.

The bit rate of the CELP is 4800 bps.

44

CELP (analysis-by-synthesis coder) :

Gaussian

Excitation

codebook

Pitch

Synthesis

filter

Spectral

Envelope

(LP)

Synthesis filter

∑

Perceptual

Weighting

Filter W(z)

Computer

Energy

(square and sum)

Buffer and

LP

analysis

Side

informationGain

LP

parameters

Speech samples

Index of

Excitation

sequence

45


This weighted error is squared and

summed over a subframe block to give the

error energy

By performing an exhaustive search

through the codebook we find the

excitation sequence that minimizes the

error energy

46


The gain factor for scaling the excitation

sequence is determined for each

codeword in the codebook by minimizing

the error energy for the block of samples

47

CELP (synthesizer) :

From

Channeldecoder

Buffer

And

controller

Gaussian

Excitation

codebook

Pitch

Synthesis

filter

LP

Synthesis

filter

LP parameters,

gain and pitch

estimate

updates

48

CELP synthesizer Cascade of two all-pole filters with coefficients

that are updated periodically

The first filter is a long-delay pitch filter used to

generate the pitch periodicity in voiced speech

This filter has this form

p

p

pbz

z

1

)(

49

CELP

Parameters of the filter can be determined

by minimizing the prediction error energy,

after pitch estimation, over a frame

duration of 5msec

The second filter is a short-delay all-pole

(vocal-tract) filter and has 10-12

coefficients that are determined every 10-

20msec

50

Example:

sampling frequency is 8 kHz

Subframe block duration for the pitch

estimation and excitation sequence is

performed every 5msec.

We have 40 samples per 5-msec

The excitation sequence consist of 40

samples

51

Example: A codebook of 1024 sequences gives

good-quality of speech

For such a codebook size ,we require 10

bits to send codebook index

Hence the bit rate is reduced by a factor

of 4

The transmission of pitch predictor

parameters and spectral predictor brings

the bit rate to about 4800 bps

52

Low-delay CELP coder

CELP has been used to achieve toll-

quality speech at 16000 bps with low

delay.

Although other types of vocoders produce

high quality speech at 16000 bps these

vocoders buffer 10-20msec of speech

samples

53


The one way delay is of the order of 20-40

msec

With modification of CELP, it is possible to

reduce the one-way delay to about 2ms

Low-delay CELP is achieved by using a

backward-adaptive predictor with a gain

parameter and an excitation vector size as

small as 5 samples

54


Excitation

Vector

quantizer

codebook

LP (high-order)

Synthesis filter ∑

Perceptual

Weighting

Filter W(z)

Error

minimization

Buffer and

window

Input Speech

+

-m)(n;

m)(n;W

m)f(n;

s(n)

Gain

Gain

adaptation

Predictor

adaptation

m)(n;f

55


Pitch predictor used in the conventional

forward-adaptive coder is eliminated

In order to compensate for the loss in pitch

information, the LPC predictor order is

increased significantly , to an order of 50

56


LPC coefficients are updated more

frequently, every 2.5 ms

5-sample excitation vector corresponds to

an excitation block duration of 0.625 msec

at 8-kHz sampling rate

57


The logarithm of the excitation gain is

adapted every subframe excitation block

by employing a 10th-order adaptive linear

predictor in the logarithmic scale

The coefficients of the logarithmic-gain

predictor are updated every four blocks by

performing an LPC analysis of previously

quantized excitation signal blocks

58


The perceptual weighting filter is also 10th

order and is updated once every four

blocks by employing an LPC analysis on

frames of the input speech signal of

duration 2.5 msec

The excitation codebook in the low-delay

CELP is also modified compared to

conventional CELP

10-bit excitation codebook is employed

59

Vector Sum Excited LP : The VSELP coder and decoder basically differ in

method by which the excitation sequence is formed

In the next block diagram of the VSELP, there are three excitation sources

One excitation is obtained from the pitch period state

The other two excitation sources are obtained from two codebooks

60

VSELP Decoder :

1

0

Long-term

Filter state

Codebook

1

Codebook

2

∑

Pitch

synthesis

filter

Spectral

post filter

Spectral

envelope

(LP)

synthesis

filter

Synthetic

Speech

2

61

VSELP Decoder

LPC synthesis filter is implemented as a

10-pole filter and its coefficients are coded

and transmitted every 20ms

Coefficients are updated in each 5-ms

frame by interpolation

Excitation parameters are also updated

every 5ms

62

VSELP Decoder

128 codewords in each of the two

codebooks

codewords are constructed from two sets

of seven basis codewords by forming

linear combinations of the seven basis

codewords

The long-term filter state is also a

codebook with 128 codeword sequences

63

VSELP Decoder In each 5-msec frame, the codewords from

this codebook are filtered through the

speech system filter and correlated

with the input speech sequence

The filtered codeword is used to update

the history and the lag is transmitted to the

decoder

)(ˆ z

64

VSELP Decoder

Thus the update occurs by appending the

best-filtered codeword to the history

codebook

The oldest sample in the history array is

discarded

The result is that the long-term state

becomes an adaptive codebook

65

VSELP Decoder

The three excitation sequences are

selected sequentially from each of three

codebooks

Each codebook search attempts to find the

codeword that minimizes the total energy

of the perceptually weighted error

Once the codewords have been selected

the three gain parameters are optimized

66

VSELP Decoder

Joint gain optimization is sequentially

accomplished by orthogonalizing each

weighted codeword vectors prior to the

codebook search

These parameters are vector quantized to

one of 256 eight-bit vectors and

transmitted in every 5-ms frame

67

Vector Sum Excited LP :

The bit rate of the VSELP is about 8000 bps.

Bit allocations for 8000-bps VSELP

Parameters Bits/5-ms Frame Bits/20ms

10 LPC coefficients - 38

Average speech energy - 5Excitation codewords from

two VSELP codebooks 14 56

Gain parameters 8 32

Lag of pitch filter 7 28

Total 29 159

68

VSELP Decoder Finally, an adaptive spectral post filter is

employed in VSELP following the LPC

synthesis filter; this post filter is a pole-zero

filter of the form

)/(ˆ

)(ˆ

)(ˆ

)/(ˆ)(

czA

zA

z

czzW

69

DEMO

Speech Codec Male

Speaker

Female

Speaker

Music

Original Speech/Music

(16-bit sampled at 8KHz)

FS-1015 (LPC-10e 2.4

kb/s)

FS-1016(CELP 4.8 kb/s)

IS-54 ( VSELP 7.95 kb/s)

G.721 (32 kb/s ADPCM)

Standard Voice Algorithms

G.711 The most widely used digital representation of voice signals is that of

the G.711 or PCM (Pulse Code Modulation)

This codec represents a 4 kHz band limited voice signal sampled at 8

kHz using 8 bits per sample A-law or m-law coding.

G.726 The protocol for the G.726 codec requires a 64 kbps A-Law or m-law

PCM signal to be encoded into four different bit rate options ranging

from 2 bits per sample to 5 bits per sample

The algorithm is based on Adaptive Differential Pulse Code Modulation

(ADPCM) and is based on 1 sample backward prediction scheme.

70

G.728 The G.728 algorithm compresses PCM codec voice signals to a bit rate of 16 kbps.

This algorithm is based on a strong backward prediction scheme and is by far considered as one

of the most complex voice algorithms to be produced by the ITU standard organization.

G.729 For compression of voice signals at 8 kbps the G.729 algorithm offers toll quality with built in

algorithmic delays of less than 15 msec

Additional features described in the G.729 Annex ensure VAD1 and Comfort Noise Generation

functionalities to enhance the quality and reduce the overall bit rate

G.723.1 The most widely used algorithm for band limited channels, such as VoIP and video conferencing,

is that of G.723.1

The algorithm has two operating bit rates of 6.3 kbps and 5.3 kbps

Although the delay is not as low as that of the other ITU standards its quality is near toll quality for

the given low bit rates, making it very efficient in bit usage.

71

GSM2—AMR

The latest GSM standard is the multi rate Adaptive Code Excited Linear Prediction

that provides compression in the range of 4.75 to 12.2 kbps

In total the codec provides 12 bit rates that cover the half rate to full rate channel

capacity.

GSM—FR

The first digital codec used in a mobile environment is the GSM Full Rate vocoder

The codec compresses 13 bit PCM sample signals to a rate of 13 kbps

The algorithm is based on a very simple Regular Pulse Excited – Linear Prediction

Coding technique.

GSM—HR

To increase capacity, the GSM committee decided on a lower bit rate of 5.6 kbps for

the voice channel

The algorithm is based on the Vector Sum Excited Linear Predictive (VSELP) and is

computationally as complex as other low bit rate algorithms.

72

Documents

Speech Processing (Vocoders)ce.sharif.edu/courses/97-98/2/ce967-1/resources/root...Various LPC-type speech analysis and synthesis methods differ primarily in the type of excitation