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A Study of Noise Reduction in Speech Signal
using FIR Filtering
Supavit Muangjaroen andThaweesak YingthawornsukAbstract-FIR filter has been designed to have impulse
responses associated with the cut-off frequencies at 0.75 KHz,
1KHz, 1.25KHz and 1.5 KHz. The randomized noisespurposely used in signal corruption with input speech signal
are generated by Matlab program. Signal comparison betweenfiltered speech and original speech signal shows that estimated
MSE values in all cut-off frequencies are decreasing similarly,suggesting FIR filters can effectively retrieve the desired
speech signal from noise corruption.
Keywords-Filter, FIR, Noise, Impulse Response.
I. INTRODUCTION
HIS paper presents the study of noise filtering and
its efficiency of eliminating noise interference on
corrupted speech signal regarding the acoustical quality
in spoken word recording which has to be fairly treated
prior to processing stage, when the purposed task
involves with speech processing in analysis. Results and
outcomes can be diversified due to noise corruption in
speech signal by noise. Speech processing has been well
applied into various areas of technology such as
telephone banking, voice activation in vehicle, database
access service, word recognition, speaker verification,
emotional detection, assistive technology in emotionaldisorder diagnosis, and identification of vocal-related
illnesses.
Signal filter is most required for many tasks, which
can be considered into analog and digital filters. Most
analog filters are designed and implemented as
electronic circuit which is a lump of electronic and
electrical components. This type of filter is generally
more expensive and more difficult to design in terms of
circuit assembly, testing, and final modification. Filter is
one of the most important parts of electronic circuit
when it is designed to deal with signal processing
directly and indirectly in some circumstances as well.
In this work the digital filter is purposely considered
and studied due to its advantages in high stability,frequency deviation range, computer based design, low-
cost implementation, and more reliability compared to
analog filter.
Supavit Muangjaroen is with Department of Electrical TechnologyEducation, King Mongkut's University of Technology Thonburi,
Thailand
Thaweesak Yingthawornsuk is with Department of MediaTechnology and Department of Electrical Technology Education, King
Mongkut's University of Technology Thonburi, Thailand
Digital filters can be generally classified into two
major types regarding the time interval of impulse
response of filter system, which are Finite Impulse
Response (FIR) and Infinite Impulse Response (IIR) [1].
Impulse responses of these filters are shown in Figure 1.
Based on less complicated design and implementation
corresponding the required tasks for FIR filter, it has
been more popularly used due to providing more stable
frequency response in terms of sharpness of cut-off
frequency edge and low ripple than IIR filter. Therefore,
our main objectives of this study are focused on the
experimental design of FIR filtering, testing andevaluating on how efficient designed filter can eliminate
noise signal from the corrupted input signal at different
noise levels.
Fig. 1 Impulse responses of FIR and IIR filters [2].
II. WINDOW METHOD
The window method is used in design of filter toestimate the impulse response of filter corresponding to a
desired frequency bandwidth. Figure 2 shows four
common frequency responses of FIR filter generally
used in design. In this study, a low-pass FIR filter is
designed with a required cut-off frequency of 5 KHz and
300 Hz transition bandwidth and sampling frequency set
equal to 10 KHz which relates to the frequency response
of human speech signal. Most concentrated energy can
be found within frequency range of 0-5KHz or less than
that in some speaker.
Fig. 2 Frequency responses of ideal filters [2].
T
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The numbe
pass filter is
frequency (fs
KHz and 5 K
calculation i
transition, an
length of filte
The numb
response of
134 which as
used in reco
response of L
moving back
wher
Fig.
r of sample po
first calculate
) and a cut-of
Hz respective
step by st
impulse resp
r response [3].
er of sample
PF is calcul
ociates with a
ding input si
PF system is d
ard length of
0.
for
3 Impulse respo
ints needed in
by substituti
f frequency (
ly. The follo
ep to obtain
nse coefficie
,
,
,
0.03
4
0.03
133.33333s required fo
ted equal to
10-KHz sam
nal. The tru
efined in equ
M samples.
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.
1
0,1, . ,
nse of designed
design of low
ng a samplin
c) equal to 1
ing details ar
a frequenc
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r the impuls
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Fig.
Speec
different
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in associ
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assigned
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III.
The r
noise sig
shown as
4 Transfer Func
signal is fir
levels of its s
system which
tion with all
.25KHz and
put is used to
frequency ban
or this experi
o
No
Fig. 5 Schemat
XPERIMENTA
ndomized nu
nal have bee
a following pl
Fig. 6 R
tion Response o
t corrupted
trength, and t
has frequency
following ban
1.5KHz. Thi
test for design
dwidths. Figu
ental study.
ise
LP
(FI
ic diagram of e
L RESULTS AN
mbers used
generated b
ot.
andom noise sig
f designed LPF.
ith noise sig
ereafter appli
response desi
dwidths of 7
s same corr
ed LPF at dif
re 5 is a sche
F
R)Out
periment.
D DISCUSSION
for the corru
y Matlab pro
nal.
al at
ed to
igned
0Hz,
upted
erent
atic
put
pting
gram
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Fig. 7 Comp
signal and filt
Fig. 8 Comp
signal and filt
Fig. 9 Comp
signal and filte
rison among or
red-out signal a
rison among or
ered-out signal
rison among or
ed-out signal at
iginal speech si
t cut-off frequ
iginal speech si
at cut-offfrequ
iginal speech si
cut-offfreque
nal, corrupted
ency at 750 Hz
nal, corrupted
ncy at 1 KHz.
nal, corrupted
cy at 1.25 KHz.
Fig. 10
signal andTo fin
rectangul
1.5 KHz
to 10 KH
Fig. 11
and le
Fig . 12signal a
omparison amo
filtered-out sig
the efficien
ar window
and 500 Hz tr
z sampling fr
Plots of compari
vels of noise to
omparison ofnd retrieved sig
ng original spee
al at cut-off fr
y of a low-p
for neede
ansition band
quencies
ison between es
corrupted signa
requencies.
SE estimated fal at different
ch signal, corru
equency at 1.5
ss FIR filter
cut-off
idth which r
timated MSE va
l at various cut-
om Noise-corrut-off frequenci
pted
KHz.
using
.75
lates
lues
ff
ptedies.
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Fig. 13 Tende
Fig. 14 Tend
Figure 11 i
to 7.2. By de
KHz, the grsetting to calc
are close to
correspondin
32 and decre
comparison b
that error in f
zero than that
figure 14 are
signal retriev
filters.
Experimen
filter implem
corrupting n
Estimated M
designed for
provide mor
process.
Author w
Yingthaworn
ncies of MSE c
ignal among va
ncies of MSE cignal among va
s a graph of th
igning filter
ph slope is dulate the MSE
zero. The
MSE errors
asing when n
etween figure
igure 12 is dr
in figure 11.
higher than t
al is more suc
IV. CON
tal results rev
ented by Ma
ise from dat
SE values s
ignal preproc
noise-free s
ACKNOW
ould like t
uk, Departm
rresponding to
rious frequencie
rresponding torious frequencie
e MSE estimat
ith cut-off fro
own to the nof around 94
graph in Fi
starting appro
ise levels ge
11 and figure
matically dec
As compared
ese in figure
cessful for all
CLUSIONS
aled that the
tlab program
speech sign
ggest that t
ssing can can
peech signal
EDGEMENTthank Dr
nt of Medi
original speech
s.
noise corrupteds.
ed equal to 3.
m the 0.75-1.
oise reductio. Error values
ure 12 sho
imately at 28
tting low. Th
12 can be see
reasing near t
MSE values i
13, suggestin
designed FI
designed FIR
can eliminate
al effectively.
he FIR filter
cel noises and
after filtering
. Thaweesak
Technology
-
.
,
KMUTT,
design a
Electrical
laborator
[1].KucHill,
[2].TaylHill,
[3].Oppand
NJ:
[4].Mr.Tdigit
Finit
for valuabl
d discussion
Technology
facilities.
RR, Introduction
International Edit
r F.J., Principl
New York, 1994.
nheim, A. V., an
ystems. In: Digit
rentice-Hall, 197
anan , Mr.pamo
al filter (HPF), th
e Impulse Respon
e suggestion
on results,
ducation as
EFERENCES
to Digital Signal
ion, 1988.
s of Signals a
d R. W. Schafer.
alb signal Proces
, pp.6-44.
and Dr. Siri
impulse respons
se: FIR With MA
on experim
nd Departme
well for supp
Processing, Mc
nd Systems, Mc
Discrete-Time S
ing. Englewood
The design and
in a limited num
TLAB.
ental
nt of
rting
raw-
raw-
ignals
liffs,
test a
ber of
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