new applications of digital signal processing in communications - paper ieee
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NEH APPLICATIONS OF DIGITAL SIGNAL PROCESSING IN COMMJNICATIONS
1 .
Maurice G. BELLANGER
Laboratoire des Signaux et Sys tbes, EsE, 91190 Gif-Sur-Yvette, FRANCE
Abstract :
The evolution of telecommunications
towards an Integrated Services Digital
Network (ISDN) offers new opportunities for
signalrocessingpplications. Recent
progress in basic techniques, like perfect
signal ecomposition nd reconstruction or
Least Squares adaptive filtering, are
crucial inhatvolution.eyondhe
emergence of new
processing advances are
artificial intelligence
willccompanyhe
promised by the ISDN.
Introduction
equipment, signal
paving the way for
techniques, which
"information age"
Progress in the field of telecommunications
is guided by the concept of the ntegrated
Services Digital Network ISDN) hich an e
presented as fully digital general-purpose
communication network ith tandardized access
c11.
The ISDN isrimarilyharacterized by
digital transmission throughout, from subscriber
to subscriber. A number of consequences result.
First, a high and uniform quality is achieved,
independently of transmission media or distances.
In act, apart from economics, this ind fobjective has always been a major stimulation for
developing and applying digital techniques, Next,
the network can become general-purpose and handle
a wide range of ignals: oice or elephone
conversations, data between computer terminals,
text for private matters, business or diffusion,
ICASSP 86 , TOKYO
sound for recreational activities, and image for
person-to-person information and contact o r
diffusion. Many new terminals and new services
can therefore be expected to be imagined and to
emerge n he uture. Also, from he etwork
exploitation point f iew, improvements are
expected n he monitoring, maintenance, and
efficiency f ransmission edia. But to eet
these expectations and implement such a network
world-wide, a high levelfnternational
cooperation is mandatory. These aspects are the
responsibilityfhe International
Telecommunication Union (ITU), f which most
independent countries in the world are members.
More precisely, ithin ITU, the ISDN is the
responsibility of the International Telegraph and
Telephone Consultative Committee (CCITT),. which
is in charge of ssuing recommendations for
network interconnection and operation. A set of
recommendations f o r the ISDN has been issued as
Series I C23.
Several areas of digital signal processing
are important for the evolution of the ISDN, and
particularly igital ilters, daptive filters,
and signal analysis and recognition in connection
with artificial intelligence techniques. To begin
with,ome aspects ofeveralmportant
applications are reviewed in the context of the
ISDN evolution.
11. Evolution of telecommunication networks
The basic service is provided hrough he
conventional elephone ets. Attractive options
are provided by loud-speaking o r hands-free sets,
which give more comfort to he subscriber,
particularly in the office, and are ecessary for
usefulelephone conferences, forxample.
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However, these evices re ubject o evere
disturbances aused by electrical nd coustic
couplings, which produce echos and instability.
Designndmplementationfdequate
echo-cancellers are a great challenge, from both
the theoretical nd practical points of view31 .
The channels are limited to the frequency
bandwidth 300-3400 Hz, which is the inimum
compatibleithncceptableevelf
conversation uality. It would e seful nd
appreciated in a number of situations to have a
larger bandwidth, not only for sound transmission
but alsooromfortndoreccurate
restitution of the nformation ontent of a
conversation. With bit-rate reduction techniques,
it is becoming ossible o ffer 0-7 kHz
audio-bandwidth [41 .
A growing number of subscribers wish to be
able to be reached at any time. Mobile services
can be generalized and will offer the same level
of quality as the fixed network in the future,
through portable sets or mobile radio terminals
in ars. Here gain, numerous dverse ffects
have to be countered; noise-cancelling techniques
are involved as well as means to achieve privacy
C5l.
Video terminals are expected to be needed
for wo inds of application, amely ideo
communications and man-machine interaction. The
bit ate or ideosignals is enormous, and
efficientechniques of multi-dimensional
processing ave o e orked ut o each
marketable terminals 161.
Combiningudio,magendata
transmission, t ecomes ossible to think of
intelligentetsxploitingecognitionnd
identification echniques. There is ample oom
for imagination here and the corresponding market
is likely to grow fast. However, great care has
to be exercised in order to provide services in
line with customer needs and which are socially
acceptable.
Another aspect of evolution worth pointing
out oncerns he xploitation of transmission
media. Digital signals are difficult to transmit
and additional cost may result. or example, high
speed ata ransmission on subscriber airs
requires sophisticated signal processing methods
in order to be efficient and practical. The same
applies o adio links, because he requency
spectrum is a scarce resource. Adaptive antenna
arrays may have to be used, for example. But,
overall,igitalechniquesringmproved
service uality hrough etwork ffectiveness,
complete supervision feasibility and disturbance
control.
In view of this evolution, crucial progress
in several signal processing areas will now be
reviewed.
111. Digital filter banks
Signals can be analyzed by dividing their
spectra into narrow frequency bands and examining
the content of each such band. Filter banks can
be used to carry out the operation accurately.n
important recent result is that such a signal
decomposition,ombinedithorresponding
sampling rate reduction, can be followed by a
virtuallyerfectignaleconstruction. The
operation is shown in Figure 1 .
DtmHPOSlTlMI RECMISTRLCTIW
Fig. 1 Signal decomposition and reconstruction
The signal x(n) is decomposed by a iscrete
Fourier Transform (DFT) OF order N completed by
an N patholyphaseetwork. It is
reconstructed as x ( n ) by an inverse DFT and an
path polyphase network [TI.
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TN=
If T N is the order DFT matrix:
1 1 1 . . . . . . .1 w w 2 . . . . . . .1 w2 w 4 . . * . . w
W N- 1
2 ( N - 1 )
1 W(N- l 1 W2(N-1 . . . . (N-l (N-1
The Z transform of the reconstructed signal is
expressed by a matrix equation [ 8 ] :
The condition of absence of aliasing components,
due to the intermediate subsampling at frequency
fs/N, is that ? ( Z ) be only a function of X ( Z ) ,
which in turn eads to the equation :
whose solution is :
, -l.GO
- 1
H1 H 2 . . ' HN-l
Ho H 2 . . * HN-l
N -1
i=OII Hi
GN- 1Ho H 1 . . * HN-2
\
..A straight implementation of that solution
is obtained for N=2 through the Quadrature Mirror
Image Filter (QMF) concept [SI. For higher
orders, n > 2 , a practical solution should lead to
Gi 2 ) and i(Z ) having imilar numbers of
coefficients and a global system transfer
N N
function withrbitrarymallipple. The
solution is obtained, starting from a prototype
low-pass filter ith requency response H(f),
such that :
as an extension of the QMF concept [ l o , 11 1. For
example, a bank of 1 6 filters and 3 2 coefficients
is given in Figure 2 .
-38.
-40.
-58.
-68.
NORMALIZED FREWEW
Fig. 2 Bank of 1 6 filters and 3 2 coefficients
Typical potential applications of such
filter banks can be found in medium-rate speech
coding [ 1 2 ] , like the 1 6 kbit/s coder fo r toll
quality telephone signals or in noise cancelling
for mobile radio. In the atter case, the N
outputs of he decomposition filter ank re
tested or tationarity nd a damping factor
proportional to the level of stationarity s
appliedoachneefore reconstruction.
Spurious signals much larger in magnitude than
the useful signals can be removed in that way
C131.
Many applications of digitalignal
processing in communications involve filters with
variable coefficients [ 1 4 ] . These are daptive
filters and the algorithms are considered first.
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IV. Adaptive filter algorithms
The principle of an adaptive filteris shown
in Figure 3. The adaptation algorithm uses the
error signal e(n) and the input x(n) to update
the coefficients according to a criterion which
is to be minimized. The criterion employed in
most cases is the east Mean Squares (LMS) of the
errorequence e(n), foromputational
complexity reasons. ut i t is now possible to
adsptive Algorithmfor Cmfficient Updating
Fig. 3 Principle of an adaptive filter
envisage the Least Squares (LS) criterion with
the same order of magnitude of complexity, due to
the availability of Fast LS algorithms.
Let X(n) be the vector of the N coefficients
hi(n) of he rogrammable ilter and X(n) the
vectorfhe N mostecentnputignal
samples:
I ; x(n)=I
(n) j-1 ,
n
p=J(n) = 1 I Y(P) - H(n)X(p) I ( 7 )
t
with W (O<<w<l) the weighting factor.
The solution t ime is the et of N
coefficients H(n) given b y the normal equations
C151 :
where R (n) is an estimation of the input signal
autocorrelation matrix and R (n) the vector of
intercorrelation coefficients between input and
reference signals :
N
YX
The coefficients are computed recursively y :
If the inverse matrix -l (n) has to be computed,N
it is clear hat or ncreasing rder N, the
complexity becomes enormous and theMS algorithm
consists of the simplifying approximation
RN (n) = 6 I1
N(12)
where 6 is a ositive onstant alled he
adaptation step size and IN the unity matrix of
order N. The coefficients are then updatedy :
Then the error signal (n) is expressed by:
te(n) = y(n) - H(n) X(n) (6)
In adaptive filters, a function of e(n), called
the cost function, has to be minimized, and the
weighted least squares criterion corresponds to
the minimization at time n of the cost function
J(n) given by :
PRE.
which eads o just doubling he omputations
with respect to fixed coefficient filters. That
algorithm has proved very useful and effective
many applications;owever,taseveral
important limitations in performance, among which
E161 :
. the initial convergence is slow
. convergenceepends on inputignal
characteristics
. a esidual rrortill xistsfter
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coefficients can actually be implemented in real
hardware.
VI. Echo cancellation
Echo ancellation s odelling roblem:
the model of the disturbing echo path is found
andpdated so thathepuriouscho is
subtracted from the received signal to produce a
clean useful signal. The method is used in full
duplex two wire data transmission [23,241, voice
echo control in satellite communications 251 and
hands-free elephone erminals for video nd
audio conference rooms [ 2 6 ] . The latter example
is illustrated in Figure 6.
Fig. 6 Audio conference system
In general very long filters are necessary, with
several undreds, nd ometimes housands, of
coefficients. Adaptation speed and accuracy are
important. For example, acoustic couplings in a
room are haracterized by a apidly volving
spectrum with numerous nd deep zones as hown in
Figure 7 [27]. Moreover, signals, like speech nd
sound, are non-stationary. The fastest and most
accurate lgorithms re eeded n ombination
withophisticatedodelling,orxample
pole-zero modelling of the echo path.
FFig. 7 Acoustic coupling in n audio conference
A similar approach can be used when it is
not an echo hich as o be removed, but
disturbing noise signals, like engine noise in
mobile radio, for xample.
VII. Adaptive array receivers
Adaptive array receivers are used for beam
forming in radar. They can also be implemented n
communications,omproveadio-receiver
performance,orxample,roeject
interferences.
A beamformer combines the outputs from the
elements of an antenna array to produce a beam
pattern hich ptimizes he eception. igital
adaptiveechniquesremplementedhrough
adaptive equalizers following receivers connected
to ntenna lements [28]. An illustration is
given in Figure 8. The algorithms are applied to
Y !
RECEIVER 1 EQUALIZER DECISIONLOolC
YRECEIVER2 T R
EQUALIZER
Fig. 8 Adaptive array receiver
multidimensional signals, which, in spite of the
previously-mentioned fast techniques, can lead to
high levels of computational complexities.
VIII. Artificial intelligence techniques
The interactions of signal processing with
Artificial Intelligence (AI) techniques take on
different aspects [29]. First, signal processing
is employed as a basic tool to build the data
bases on which AI works. Here the improvements in
accuracy and speed achieved in analysing signals
are ofrimarymportance.edundancy
reduction,hich is usednierarchical
methods, is alsonnterestingeature.
Illustrations can be found in speech or image
recognition.
Artificial Intelligence techniques can also
DATA
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be used in communication equipment to improve its
efficiency. Vector quantization for reduced rate
signal ncoding is an xample f edundancy
reduction, and results in less storage capacity
or transmission rate. But the most exciting field
for AI techniques is the et of intelligentterminals which will be deployed in the future.
They will be used, for example, by the employees
of operating companies in supervising the network
and managing the resources available. Intelligent
terminals will also provide new services to the
subscriber, not only in man-machine interaction,
but also in person-to-person communication [301.
That field is open to imagination and initiative,
and here is no oubt hat he atest ignal
processing echniques ill be instrumental n
that evolution.
IX. Conclusion
The ISDN is an ambitious step in improving
and extending communication means in the world.
The information is carried in the network by all
sorts ofignals. The importancefignal
processing techniques is therefore obvious, and
in fact these techniques are part of the whole
project. The evolution is characterized by the
fact that progress, inolvingundamental
problems, has mademportant applications
feasible. Examples have een given, uch s
signal decomposition and reconstruction or least
squares adaptations. A major observation is that
signal rocessing ill ave he ay or he
application of artificialntelligence
techniques.
Overall digitalignalrocessingill
contribute to the advent of the information age"
promised by the ISDN.
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