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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

    International Conference on Advances in Electrical and Electronics Engineering (ICAEEE'2012) April 13-15, 2012 Pattaya

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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.

    0.5cos

    .

    1

    0,1, . ,

    nse of designed

    design of low

    ng a samplin

    c) equal to 1

    ing details ar

    a frequenc

    t and a finit

    (1

    (2

    (3

    r the impuls

    approximatel

    ling frequenc

    cated impuls

    tion (9) with

    .

    (4

    (5

    (6

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    (8

    1 (9

    LPF.

    -

    )

    )

    )

    a

    )

    )

    )

    )

    )

    )

    Fig.

    Speec

    different

    the LPF

    in associ

    1KHz, 1

    speech in

    assigned

    diagram

    Audi

    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

    International Conference on Advances in Electrical and Electronics Engineering (ICAEEE'2012) April 13-15, 2012 Pattaya

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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.

    International Conference on Advances in Electrical and Electronics Engineering (ICAEEE'2012) April 13-15, 2012 Pattaya

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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

    International Conference on Advances in Electrical and Electronics Engineering (ICAEEE'2012) April 13-15, 2012 Pattaya

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