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Tiêu đề Measurement Methods for Pressure Calibration of Working Standard Microphones
Trường học International Electrotechnical Commission
Chuyên ngành Electroacoustics
Thể loại Standards Document
Năm xuất bản 2016
Thành phố Geneva
Định dạng
Số trang 48
Dung lượng 1,16 MB

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This p rt of IEC 610 4 des rib s method of determinin the pres ure sen itivity by comp rison with either a la oratory stan ard micro hone or another workin stan ard micro hone with known

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Partie 5: Méthodes pour l'étalonnage en pression par comparaison des

Warnin ! Mak e s re th t y ou o tain d this publc tion from a a thorize distributor

Ate tion! Ve i ez v ou a s rer qu v ou av ez o te u c te publc tion via u distribute r a ré

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CONTENTS

FOREWORD 4

1 Sco e 6

2 Normative referen es 6

3 Terms an definition 6

4 Referen e en ironmental con ition 7

5 Prin iples of pres ure cal bration by comp rison 7

5.1 Prin iples 7

5.1.1 General prin iple 7

5.1.2 General prin iples u in simultane u ex itation 7

5.1.3 General prin iples u in seq ential ex itation 8

5.2 Me s rin the output voltages of the micro hones 8

6 Factors influen in the pres ure sen itivity 8

6.1 General 8

6.2 Micro hone pres ure eq al zation mec anism 8

6.3 Polarisin voltage 9

6.4 Referen e s ield config ration 9

6.5 Pres ure distribution over the dia hragms 9

6.6 De en en e on en ironmental con ition 10 6.7 Val dation 10 7 Calbration u certainty comp nents 10 7.1 General 10 7.2 Sen itivity of the referen e micro hone 10 7.3 Me s rements of micro hone output 1

7.4 Dif eren es b twe n the sou d pres ure at the test micro hone an that at the referen e micro hone 11 7.5 Acou tic imp dan es of the micro hones 1

7.6 Micro hone se aration distan e 1

7.7 Micro hone ca acitan e 11 7.8 Micro hone config ration d rin cal bration 1

7.9 Un ertainty on pres ure sen itivity level 12 An ex A (informative) Examples of couplers an j g for simultane u ex itation 13 A.1 A coupler for u e with WS2 micro hones at freq en ies up to 10 kHz 13 A.2 A j g for u e with WS2 or WS3 micro hones at freq en ies up to 2 kHz 14 An ex B (informative) Examples of couplers for seq ential ex itation 16 B.1 A coupler for u e with LS1 micro hones at freq en ies up to 8 kHz 16 B.2 A coupler for u e with WS2 micro hones at freq en ies up to 16 kHz 16 An ex C (informative) Determinin the o en-circ it sen itivity of a me s rement micro hone without u in the in ert voltage method 18 An ex D (informative) Typical u certainty analy is 19 D.1 Introd ction 19 D.2 Analy is 19 D.3 Combined an exp n ed u certainties 21

Bibl ogra h 2

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Fig re A.2 – A j g fited with an LS2 an WS2 micro hone 14

Fig re A.3 – Example ar an ement of LS2 an WS2 micro hones in a j g 14

Fig re A.4 – Example ar an ement of LS2 an WS3 micro hones in a j g 14

Fig re B.1 – A coupler for u e with LS1 micro hones 16

Fig re B.2 – A coupler for u e with WS2 micro hones 17

Ta le A.1 – Calc lated cor ection to b ad ed to the sen itivity level of the WS3

micro hone when u in the ar an ement in Fig re A.4 15

Ta le D.1 – Example u certainty bu get 2

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INTERNATIONAL ELECTROTECHNICAL COMMISSION

Part 5: Methods for pressure cal bration of working

standard microphones by comparison

1) Th Intern tio al Ele trote h ic l Commis io (IEC) is a worldwid org nizatio for sta d rdizatio c mprisin

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in th su je t d alt with ma p rticip te in this pre aratory work Intern tio al g v rnme tal a d n

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2) Th formal d cisio s or a re me ts of IEC o te h ic l maters e pres , as n arly as p s ible, a intern tio al

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p te t rig ts IEC sh l n t b h ld resp nsible for id ntifyin a y or al su h p te t rig ts

International Stan ard IEC 610 4-5 has b en pre ared by IEC tec nical commite 2 :

Electro cou tic

This edition can els an re laces the first edition publ s ed in 2 01 This edition con titutes a

tec nical revision

This edition in lu es the fol owin sig ificant tec nical c an es with resp ct to the previou

edition:

a) detai s of ad itional comp nents of u certainty;

b) revised cor ection for typ WS3 micro hones;

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The text of this stan ard is b sed on the fol owin doc ments:

Ful information on the votin for the a proval of this stan ard can b fou d in the re ort on

votin in icated in the a ove ta le

This publcation has b en drafed in ac ordan e with the ISO/IEC Directives, Part 2

A l st of al p rts in the IEC 619 4 series, publ s ed u der the general title Me su reme nt

microp ho es, can b fou d on the IEC we site

The commit e has decided that the contents of this publcation wi remain u c an ed u ti

the sta i ty date in icated on the IEC we site u der "htp:/we store.iec.c " in the data

related to the sp cific publ cation At this date, the publ cation wi b

• reconfirmed,

• with rawn,

• re laced by a revised edition, or

• amen ed

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ELECTROACOUSTICS – MEASUREMENT MICROPHONES –

Part 5: Methods for pressure cal bration of working

standard microphones by comparison

This p rt of IEC 610 4-5 is a pl ca le to workin stan ard micro hones with remova le

protection grid me tin the req irements of IEC 610 4-4 an to la oratory stan ard mi

cro-phones me tin the req irements of IEC 610 4-1

This p rt of IEC 610 4 des rib s method of determinin the pres ure sen itivity by

comp rison with either a la oratory stan ard micro hone or another workin stan ard

micro hone with known sen itivity in the resp ctive freq en y ran e

Alternative comp rison method b sed on the prin iples des rib d in IEC 610 4-2 are

p s ible but b yon the s o e of this p rt of IEC 610 4

The folowin doc ments, in whole or in p rt, are normatively referen ed in this doc ment an

are in isp n a le for its a pl cation For dated referen es, only the edition cited a pl es For

u dated referen es, the latest edition of the referen ed doc ment (in lu in an

3 Terms and definitions

For the purp ses of this doc ment, the terms an definition given in IEC 610 4-1 an the

la oratory stan ard micro hone or workin stan ard micro hone to b cal brated by

comp rison with a referen e micro hone

3.3

monitor microphone

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3.4

coupler

device whic , when fited with micro hones, forms a cavity of predetermined s a e an

dimen ion an provides an acou tic coupl n element b twe n the micro hones an

b twe n the micro hones an the sou d source

3.5

j g

device whic , when fit ed with micro hones, hold them with their dia hragms face to face

se arated by a smal distan e but do s not en lose the sp ce b twe n them

4 Reference environmental conditions

The referen e en ironmental con ition are:

5.1.1 Ge eral principle

The pres ure sen itivity of a me s rement micro hone is defined in terms of a sou d

pres ure a pl ed u iformly over the dia hragm Con eq ently, the pres ure sen itivity can

only b re l sed in prin iple for micro hones from whic the protection grid can b removed

an the dia hragm exp sed to the sou d pres ure stimulu

The prin iple of these comp rison method is that when the referen e micro hone an the

test micro hone are exp sed to the same sou d pres ure either simultane u ly or

seq ential y, the ratio of their pres ure sen itivities is given by the ratio of their o en-circ it

output voltages The sen itivity (b th mod lu an phase) of the test micro hone can then b

calc lated from the sen itivity of the referen e micro hone

The prin iple of the method alows the test micro hone to b at ac ed to a p rtic lar

pre mpl fier an the sen itivity of the s stem may b refer ed to the output of that

pre mpl fier

Multi- req en y me s rements can b p rformed p rtic larly ra idly if a wide an sou d

source is u ed an the output voltages of the micro hones are analy ed in nar ow b n s

NOT If th refere c a d test micro h n s h v sig ific ntly difere t fre u n y resp nse c ara teristics, e.g

aro n reso a c fre u n ies, or wh n a pres ure resp nse micro h n is c mp re with a fre - ield resp nse

micro h n , this a pro c c n le d to erors wh n th inte tio is to d termin th pres ure se sitivity at th test

fre u n y, rath r th n th test fre u n y b n Du c nsid ratio of th a alysis b n width is a vise to a oid

su h erors Ty ic ly, a b n width of 1/6

th

-o ta e or n rower wi b suficie t to c nstrain a y eror to les th n

0,01 dB Howe er furth r c utio is a vise o re u in th b n width to se erely, as c n b p s ible with F T

( ast Fo rier tra sform) a alysers, as this c n hig lg t d ficie cies su h as sta din wa es in th so n field,

whic c n alsole d to erors (se [1]

1

for furth r d tais)

5.1.2 Ge eral principle using simulta eous e citation

In order for the two micro hones to b simultane u ly exp sed to es ential y the same sou d

pres ure it is u ual y neces ary for the front s rfaces of the two micro hones to b se arated

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by a smal fraction of the wavelen th at the hig est freq en y of interest For freq en ies up

to 2 kHz, this can b ac ieved by mou tin the two micro hones face- o- ace se arated by

a proximately 1 mm in either a coupler or a j g

The o timum micro hone sep ration is somewhat de en ent on the acou tic en ironment an

s ould b determined for a p rtic lar set up Detai s of l k ly levels of p rforman e can b

fou d in [1]

1

Couplers u ual y contain an integral sou d source; j g mou ted micro hones are u ual y

exp sed to an external y prod ced sou d field In order to red ce the efect of s stematic

dif eren es in sou d pres ure b twe n the two micro hone p sition , for example cau ed by

some as mmetries, the fol owin proced re s al b u ed: af er the ratio of the micro hone

pres ure sen itivities is first determined, the micro hones s al b interc an ed, an the

me s rement re e ted The sen itivity is then calc lated from the me n of the two ratios

Examples of practical ar an ements an precaution to b ta en are given in An ex A

NOT Av idin asymmetry a d sta din wa es in th so n field, esp cialy in jg c nfig ratio s, h s a

sig ific nt b n ficial imp ct o th rela i ty of th results

5.1.3 Ge eral principle using s que tial e citation

In order for the two micro hones to b seq entialy exp sed to es ential y the same sou d

pres ure, either the ex han e of micro hones s al not c an e the sou d pres ure

sig ificantly or an sig ificant c an e s al b detected an cor ected This can b ac ieved

by in orp ratin a sou d source, a monitor micro hone, an the testreferen e micro hone in

a coupler In an desig of coupler, the monitor micro hone s al ac urately sen e c an es in

the sou d pres ure at the testreferen e micro hone p sition Examples of practical

ar an ements are given in An ex B

5.2 Me s ring the output volta e of the microphone

The output of a test or referen e micro hone may b determined as the o en-circ it voltage

by u e of the in ert voltage tec niq e (se 5.3 of IEC 610 4-2:2 0 ) or by u in a me s rin

s stem con istin of a hig input imp dan e micro hone pre mpl fier an a voltmeter (se

An ex C)

The method u ed to me s re the output voltage of the test micro hone s al b stated on an

cal bration certificate

6 Factors influencing the pressure sensitivity

The pres ure sen itivity of a me s rement micro hone can de en on en ironmental

con ition Further, the definition of the pres ure sen itivity impl es that certain req irements

b fulfi ed by the me s rements It is es ential d rin a calbration that these con ition are

controled s f iciently wel if the res ltin u certainty comp nents are to remain smal

6.2 Microphone pre s re e u l zation me ha ism

The normal con tru tion of a me s rement micro hone has the cavity b hin the dia hragm

fited with a nar ow pres ure-eq al zin tub to p rmit the static pres ure to b the same on

b th sides of the dia hragm Con eq ently, at very low freq en ies, this tub also p rtial y

eq al zes the sou d pres ure If, d rin the calbration, the sou d whic is coherent with that

on the dia hragm is in ident on the pres ure-eq al zin tub , then this could c an e the

a p rent sen itivity at low freq en ies an the res lt would not b the true pres ure

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In a j g, where sou d is in ident on the pres ure eq al zin tub , the size of this c an e s al

b determined by comp rin cal bration made in the jg with cal bration made in a coupler

that do s not exp se the pres ure eq al zin tub to the sou d field

In a coupler an "O" rin can b u ed to se l the ga b twe n the coupler an the micro hone

If this is done, care s al b ta en to en ure that the "O" rin do s not exert u d e force on

the micro hone an cau e a c an e in sen itivity

6.3 Polarising volta e

If the test micro hone req ires an external p larisin voltage, then the p larisin voltage u ed

d rin the cal bration s al b re orted

If the referen e micro hone req ires an external p larisin voltage, then an diferen e

b twe n that a pl ed when it was cal brated an that a pl ed when it is u ed as the referen e

micro hone s al b alowed for in the u certainty calc lation (se An ex D)

6.4 Refere c s ield configuration

When the o en-circ it voltage is me s red, the s ield config ration given in IEC 610 4-1 or

IEC 610 4-4 s al b u ed

If a micro hone is inten ed to b u ed with a pre mpl fier havin a non-stan ard s ield

config ration, then it s al b calbrated as a s stem alon with its pre mpl fier

When in ert voltage cal bration are p rformed, it s al b stated whether output voltage from

the micro hone is a pl ed to the s ield (driven s ield config ration), or whether the s ield is

grou ded

If the in tru tion man al sp cifies a maximum mec anical force to b a pl ed to the central

electrical contact of the micro hone, this l mit s al not b ex e ded

6.5 Pre s re distribution ov r th diaphragms

The definition of the pres ure sen itivity as umes that the sou d pres ure over the dia hragm

is a pl ed u iformly The output voltage of a micro hone presented with a non-u iform

pres ure distribution over the s rface of the dia hragm wi difer from the output voltage of

the micro hone when presented with a u iform pres ure distribution havin the same me n

value, b cau e the micro hone is u ualy more sen itive to a sou d pres ure at the centre of

the dia hragm

Uniformity of sou d pres ure over the dia hragm of the micro hone can b o timised by

maintainin the radial s mmetry of the sou d field arou d the circ mferen es of the

micro hones This can b ac ieved u in a radial y s mmetric sou d source p sitioned

co xial y with the micro hones an , when the micro hones are mou ted in a j g, with the

micro hones p sitioned in the far field of the sou d source Althou h pres ure non-u iformity

over the s rface of the dia hragm can b minimised by u in a radial y s mmetric sou d

source, some non-u iformity at hig freq en ies can remain even with a p rfect source

It is dif ic lt to control the u iformity of the sou d field in an actual calbration set up

However, the combined ef ect of as mmetries in the sou d field an in the micro hones

b comes evident when the micro hones are rotated relative to e c other a out their axis of

s mmetry Th s, the related comp nent of me s rement u certainty can b red ced by

averagin res lts from a n mb r of s c me s rement config ration

NOT Wh n c mp rin micro h n s of th same mo el th re uireme t for u iformity of th so n field re u es

Trang 12

Alternatively, is ues with sou d field non-u iformity can b overcome if ex itation is made

with a difu e sou d field, for example in a reverb ration ro m Care s ould b ta en to avoid

cre tin stan in waves in the sou d field s r ou din the micro hones as these can cau e

sig ificant an u predicta le me s rement er ors A bro db n source, or re e ted

me s rements at dif erent p sition within the field, is also neces ary to ac ieve a s f iciently

low me s rement u certainty

The efect of a non-u iform pres ure distribution over the s rface of the dia hragm wi b

sig ificantly gre ter if the test an referen e micro hones are of dif erent diameters A

the retical model whic can b u ed to a ply cor ection an as es the u certainties in this

case is given in the lterature ( or example [1])

6.6 Depe de c on e vironme tal conditions

The sen itivity of a micro hone can de en on static pres ure, temp rature or h midity This

de en en e can b determined by comp rison with a wel c aracterised la oratory stan ard

micro hone over a ran e of con ition

If the referen e micro hone an the test micro hone are dif erent man facturer models, then

the sen itivity of the referen e micro hone s al b cor ected to the actual environmental

con ition d rin the test Alternatively, if they are of the same model, there can b an

ad antage in as umin that they have the same de en en e on en ironmental con ition so

that the cal bration of the test micro hone can b refer ed to the con ition at whic the

cal bration of the referen e micro hone is val d

Alternatively, when re ortin the res lts of a calbration, the pres ure sen itivity can b

cor ected to the referen e en ironmental con ition if rel a le cor ection data are avai a le

The actual con ition d rin the cal bration s al b re orted

6.7 Val dation

Calbration p rformed in an p rtic lar jg or coupler s al b valdated by comp rison with

cal bration p rformed in other j g an couplers an alternative sou d sources A se arate

val dation is neces ary for e c dif erent typ of micro hone If the test micro hone is a

la oratory stan ard micro hone, then the j g or coupler can b val dated by comp rin a

comp rison cal bration with a reciprocity cal bration For some micro hones, it can b

neces ary to u e more than one j g an /or coupler to cover a ful freq en y ran e with low

u certainty

7 Cal bration uncertainty compone ts

In ad ition to the factors influen in the pres ure sen itivity mentioned in Clau e 6, further

u certainty comp nents are introd ced by the method, the eq ipment an the degre of care

u der whic the cal bration is car ied out Factors whic afect the calbration in a known way

s ould b me s red or calc lated with an ac urac neces ary to ac ieve the desired overal

me s rement u certainty, an with as hig an ac urac as practica le if their influen e is to

b minimised

7.2 Se sitivity of the refere c microphone

The u certainty in the sen itivity of the referen e micro hone directly af ects the u certainty

Trang 13

7.3 Me s reme ts of microphone output

Un ertainties of ran om or time-varyin nature in the me s rement of the outputs of the

micro hones directly af ect the u certainty in the sen itivity of the test micro hone

Un ertainties of s stematic nature in the me s rement of the outputs of the micro hones can

af ect the u certainty in the sen itivity of the test micro hone The u certainty can b red ced

if the same s stem is u ed for b th the test an referen e micro hones

If test an referen e micro hone are me s red simultane u ly, s stematic u certainty can b

red ced u in the proced re des rib d in An ex C

7.4 Dif ere c s betwe n th soun pre s re at th te t microphone a d that at the

refere c microphone

With simultane u or seq ential ex itation, dif eren es in the acou tic imp dan e b twe n

the test an referen e micro hones can cau e the sou d pres ure at the test an referen e

micro hones to dif er A the retical model whic may b u ed to as es the res ltin

u certainty can b fou d in the l terature ( or example [2])

7.5 Acoustic impe a c s of the micro hon s

When the referen e micro hone an the test micro hone have sig ificantly dif erent acou tic

imp dan es ( or example, pres ure an fre - ield resp n e micro hones at freq en ies a ove

10 kHz), they can resp n diferently to the same sou d field b cau e of diferin volume

velocities at the dia hragms It is recommen ed that wherever p s ible a referen e

micro hone of simi ar acou tic imp dan e to that of the test micro hone b u ed If no

s ita le referen e micro hone is avai a le, the size of the er or cau ed s ould b estimated

an ad ed to the u certainty bu get

7.6 Microphone s paration dista c

The ide l micro hone se aration distan e u ed in simultane u ex itation me s rements

s ould b esta l s ed for e c acou tic en ironment in whic j g me s rements are to b

car ied out The distan e can b determined by ma in a series of me s rements at diferent

se aration an comp rin the res lts with a primary pres ure cal bration for the same

micro hone Me s rements made in some sou d field can b very sen itive to very smal

c an es in micro hone se aration distan e an micro hone p sition relative to the sou d

field In these cases it is prefera le to improve the sou d field rather than the p sitionin

s stem b cau e a very re rod cible p sitionin s stem can introd ce re e ta le s stematic

er ors that are not e siy detected

7.7 Microphone c pa ita c

In some cal bration method ( or example the a pro c outl ned in An ex C), the gain of the

micro hone pre mpl fier(s) u ed is as umed to b con tant when fit ed with diferent

micro hones However the gain of the pre mpl fier is typical y a fu ction of the at ac ed

micro hone ca acitan e

Therefore a cor ection s ould b made or a comp nent of u certainty alowed if the

ca acitan es of the referen e micro hone an test micro hone are s f iciently dif erent for

the influen e on the pre mpl fier gain to b sig ificant

NOT This efe t is a oid d if th insert v lta e te h iq eis use

7.8 Microphone config ration during c l bration

It may b neces ary to fit a micro hone with one or more ada ters s itin a p rtic lar

cal bration coupler or config ration Su h ada ters may have an influen e on the sen itivity of

Trang 14

NOT Both th refere c a d test micro h n s c n b influ n e b th fitin of a a ters.

7.9 Unc rtainty on pre s re s nsitivity lev l

For determinin the pres ure sen itivity level of workin stan ard micro hones, when the

referen e micro hone has b en cal brated in ac ordan e with IEC 610 4-2, it is estimated

that a comp rison cal bration of micro hones of the same diameter can ac ieve an exp n ed

u certainty with coverage factor 2 (se ISO/IEC Guide 9 -3) of a proximately 0,1 dB at low

an mid le freq en ies The u certainty in re ses to a out 0,2 dB at 10 kHz an 2 kHz for

WS1P an WS2P workin stan ard micro hones, respectively An ex D contain an example

of an u certainty analy is

Trang 15

Annex A

(informativ )

Examples of couplers and j gs for simultaneous excitation

A.1 A coupler for us with WS2 microphones at frequencies up to 10 kHz

The coupler s own in Fig re A.1 alows two micro hones with exp sed dia hragms to b

in erted face- o- ace se arated by a out 2 mm The coupler contain a radial sou d source

that generates a radial y s mmetric acou tic field b twe n the dia hragms In this example

the grid of the test micro hone has b en removed an re laced with an ada tor rin to give

the config ration of an LS2 micro hone Variation on the prin iple could in lu e a sl g tly

larger diameter coupler where the test micro hone would b s p orted by other me n

D ime sio s in mi imetres

7 Cyln ric lso rc dia hra m

Figure A.1 – A coupler for u e with WS2 microphone

This method may also b u ed without removin an protection grid from the test micro hone

provided that the presen e of the grid is al owed for in the u certainty calc lation The grid

can cau e an u ac e ta le level of me s rement u certainty at hig freq en ies, ef ectively

Trang 16

A.2 A j g for use with WS2 or WS3 microphones at frequencie up to 20 kHz

A simple ar an ement for holdin an p sitionin an LS2 micro hone an a WS2 micro hone

in a s ita le p sition for a simultane u calbration is s own in Fig re A.2 The j g is en losed

in an acou tic c amb r with a lou sp a er providin the sou d source The prefer ed location

for the sou d source is on the axis of s mmetry of the micro hones The detai ed p sitionin

for WS2 an WS3 micro hones is s own in Fig res A.3 an A.4 resp ctively Note that the

protection grid have b en removed

Figure A.2 – A j g fit e with a LS2 a d WS2 micro hon

D ime sio s in mi imetres

NOT Th dime sio sh wn is th dia hra m-o

-dia hra m se aratio

NOT Th dime sio sh wn is th dia hra m-

o-dia hra m se aratio This se aratio dista c is th

o ly o e for whic th c re tio s sp cifie in Ta le

When the ar an ement of Fig re A.4 is u ed, cor ection are req ired to ac ou t for the radial

sen itivity of the micro hones an the fact that the test micro hone is smal er than the

referen e micro hone Ta le A.1 gives cor ection to b ad ed to the sen itivity level of the

WS3 micro hone as umin that the referen e micro hone is of typ LS2 P (se [1]) an that

the sou d field is radial y s mmetrical The exp n ed u certainty on the cor ection is

estimated to b 10 % of their value (in dB) whic is a proximately the c an e o served by

IEC

0,5

IEC 1

IEC

Trang 17

If the sou d ar ives from a direction other than the axis of s mmetry of the j g, me s rements

s ould b made with the sou d ar ivin from several diferent direction an an average

ta en A con enient me n of ac ievin this is to u e a dif u e sou d field

Table A.1 – Calc late cor e tions to be a de to the s nsitivity le el

Trang 18

Annex B

(informativ )

Examples of couplers for sequential excitation

B.1 A coupler for us with LS1 microphones at frequencies up to 8 kHz

A coupler for u e with LS1 micro hones is s own in Fig re B.1 A WS1P micro hone, u ed as

the sou d source, is s rewed directly into the up er p rt of the coupler without an protection

grid or ada tor A pro e tub micro hone is in erted from the side of the coupler so that the

pro e tip is one- hird of the distan e alon a radiu from the wal , an is u ed to control the

sou d pres ure in the coupler The acou tic imp dan e of the pro e tub micro hone u ed

can afect the res lts, but a tub with an acou tic imp dan e of 8 0 MPa∙s∙m

–3

has b en

u ed s c es ful y The test an referen e micro hones are held in the coupler by a yo e an

sprin ar an ement

If b th test an referen e micro hones are WS1 micro hones con erted to the LS1

config ration with an ada tor rin , the same ada tor rin s ould b u ed on b th

5 Ap rture for test a d refere c micro h n

Figure B.1 – A coupler for us with LS1 microphone

B.2 A coupler for us with WS2 microphones at frequencies up to 16 kHz

Fig re B.2 s ows a coupler that can b u ed for seq ential comp rison cal bration of WS2

Trang 19

monitor micro hone detects the c an e in sou d pres ure when the test micro hone is

re laced by the referen e micro hone

D ime sio s in mi imetres

Ke

1 Mo itor micro h n

2 Testrefere c micro h n

3 Co pler c vity, diameter 9,3 mm

4 Cyln ric lso rc dia hra m

Figure B.2 – A coupler for u e with WS2 microphone

This method may also b u ed without removin an protection grid from the test micro hone

provided that the presen e of the grid is al owed for in the u certainty calc lation

Trang 20

Annex C

(informativ )

Determining the open-circuit sensitivity of a measurement

microphone without using the insert voltage method

When a comp rison cal bration is b in p rformed, it is p s ible to determine the o en-circ it

sen itivity of the test micro hone without u in the in ert voltage method It is neces ary for

the o en-circ it sen itivity of the referen e micro hone to b known an a cor ection (or

u certainty) to b in lu ed for an diferen e d e to the test an referen e micro hone

presentin a dif erent electrical source imp dan e to the pre mpl fier The prin iple is that by

interc an in the micro hones b twe n the two me s rin c an els an re e tin the

me s rements, an dif eren e in the gain of the two c an els (an some other s stematic

ef ects) can b el minated This can b demon trated by the fol owin

When two micro hones with their dia hragms facin are at close proximity to e c other, an

their outputs me s red as levels on two me s rement c an els, then the level re din

dif eren e, L

12, b twe n the two c an els (neglectin an influen e of micro hone

m1+ L

d1+ L

WA) – (L

2+ L

m2+ L

d1+ L

is the sou d pres ure level that the ex itation sou d source prod ces at the

centre p int mid-way b twe n the micro hone dia hragms;

Eq ation (C.1) as umes that the micro hones have dif erent sen itivities, but are otherwise

identical in their mec anical an electro cou tic c aracteristic

When the micro hones are interc an ed, the level re din diferen e b twe n the two

m1+ L

d+ L

WA) – (L

1+ L

m2+ L

d+ L

is the sou d pres ure level that the ex itation sou d source prod ces at the

centre p int mid-way b twe n the micro hone dia hragms afer the interc an e

From the dif eren e b twe n Eq ation (C.1) an Eq ation (C.2), the sen itivity level

dif eren e b twe n the two micro hones is

(L

1– L

2) = ½(L

12– L

m2, L

d1, L

d,

Trang 21

Annex D

(informativ )

Typical uncertainty analysis

D.1 Introduction

The fol owin is an example u certainty calc lation for a h p thetical cal bration protocol It

s ould not b ta en as an ex au tive lst of p s ible u certainty comp nents, or an in ication

of typical u certainty values

D.2 Analy is

The u certainties given in Ta le D.1 are calc lated for the example of a simultane u

cal bration of a low sen itivity typ WS2P micro hone u in an LS2P referen e micro hone

The coupler s own in Fig re A.1 is u ed, an there are thre re e ts of the cal bration The

micro hones are interc an ed in the coupler p rts an on the pre-ampl fiers to elminate the

ef ects of an as mmetry in the coupler an an dif eren es in gain in the two me s rement

c an els (se An ex C) The res lts are not refer ed to the referen e en ironmental

ref

× R

V/ R

red ced to u ity by the proces des rib d in An ex C an the cor ection s c as

those given in An ex B, but it wi have some resid al u certainty

For this example, fig res are given for a freq en y of 2 kHz only In practice, the calc lation

is re e ted for e c freq en y u ed The re orted u certainty is b sed on a stan ard

u certainty multipl ed by a coverage factor k = 2, providin a level of confiden e of

a proximately 9 %

The me s rement u certainty arises from eig t dif erent sources, but ad itional comp nents

can b req ired in p rtic lar set ups or micro hone config ration The comp nent d e to

re e ta i ty is evaluated as a typ B u certainty b sed on l mits esta l s ed by a large

n mb r of simi ar me s rements; the remainin comp nents are also evaluated as typ B It

is as umed that the sen itivity of the micro hone is l nearly de en ent on e c comp nent

an that the cal bration of the referen e micro hone refers to the actual me s rement

con ition

Trang 22

Table D.1 – Ex mple unc rtainty budg t

Comp nent

Stan ard

unc rainty

dB

Se sitivity of refere c micro h n

Th u c rtainty as o iate with th c lbratio of th la oratory sta d rd micro h n use as

th refere c , is q ote o itsc lbratio c rtific te as ± ,0 dB with a c v ra e fa tor of k = 2

This is e uiv le t to a sta d rd u c rtainty of 0,0 /2 dB = 0,0 5 dB

u c rtainty wi b intro u e From a k owle g of th in ut imp d n e of th pre-amplfiers

a d th ma ufa turer’s sp cific tio for th c p cita c of th micro h n s, it is p s ible to

c lc late th t, in this p rtic lar insta c , th semi-ra g of this c mp n nt is 0,01 dB with a

re ta g lar distrib tio This is e uiv le t to a sta d rd u c rtainty of 0,01/√3 dB =0,0 6 dB

0,0 6

No -ln arity

Th resp nse of th a alyser to sig als of difere t ma nitu es c uld b in eror b a smal

amo nt Tests of th a alyser are p rforme with two difere t c lbrate ate u tors whic are

se arately pla e to mimic th le el difere c s th t are e p cte to b me sure in th a tu l

c lbratio Th micro h n c lbratio is o ly alowe to pro e d if th difere c b twe n th

results of th se tests a d th k own v lu s of th ate u tors is within 0,0 dB He c th se

mi-ra g of this c mp n nt is 0,0 dB with a re ta g lar distrib tio This is e uiv le t to a

sta d rd u c rtainty of 0,0 /√3 dB= 0,017 dB

0,017

Micro h n imp d n e

Th a o stic l imp d n e of th micro h n a ts inseries with th t of th air in th sp c

b twe n th two micro h n s Micro h n swith difere t a o stic imp d n e th refore se

slg tly difere t pres ures wh n simulta e usly e p se to th same pres ure field (se 7.4 a d

[2] Th ma nitu e of th efe t wh n hig se sitivity a d low se sitivity ty e WS2P

micro h n s are c mp re , is a worse c se a d ta e as th u c rtainty in this e ample At 2

kHz, th semi-ra g of this c mp n nt is 0,0 5 dB with a re ta g lar distrib tio This is e uiv le t

to a sta d rd u c rtainty of 0,0 5/√3 dB = 0,0 3 dB Wh n micro h n s h v sig ific ntly diferin

imp d n es (or e ample WS2F micro h n c mp re a ainstLS2P at fre u n ies a o e 10

kHz), th me sureme t u c rtainty c n b c nsid ra ly larg r a d sh uld b esta lsh d

e p rime taly

0,0 3

Polarisin v lta e

Th p larisin v lta e afe ts th se sitivity of b thth refere c a d test micro h n s If th

same p larisin v lta e is a ple to b th micro h n s th efe t wi b n glgible Howe er if

o e micro h n is pre-p larise , this wi n t b th c se a d th eror wi p rsist Th

p larisin v lta e is set to (2 0,0 ± 0,2) V givin a semi-ra g for this c mp n nt of 2 lg

(2 0,2/2 0) dBwith are ta g lar distrib tio This is e uiv le t toa sta d rd u c rtainty of

Drif in refere c micro h n se sitivity sin e last c lbratio

Th se sitivity of th refere c micro h n c n h v c a g dsin e it was c lbrate Two

c lbrate refere c micro h n s are c mp re a ainst e c oth r as a c e k b foreth

c lbratio of test micro h n s Th c mp riso c lbratio a d th refere c c lbratio of th

refere c micro h n sh uld a re within 0,0 dB Howe er, th v lu use d rin a c lbratio

must b furth r re u e b th u c rtainty as o iate with th c mp riso me sureme t Th

sta d rd u c rtainty of this c mp n nt is 0,0 /√3 dB = 0,017 dB

0,017

Ro n in of re orte results

Th result is re orte with a resolutio of 0,01 dB, givin a semi-ra g of 0,0 5 dB with a

re ta g lar distrib tio This is e uiv le t to a sta d rd u c rtainty of 0,0 5/√3 dB = 0,0 3 dB

0,0 3

Trang 23

Ad itio al comp nents for spe ial c s s

Stan ard

unc r ainty

in dB

Core tio s for th difere c in dia hra m diameter wh n c lbratin aty e WS3

micro h n a ainst a ty e LS2 refere c micro h n

Th e p n e u c rtainty dire tly as o iate with th c lc late c r e tio is estimate to

b 10 % of th v lu of th c re tio (in d cib ls)

Th u a c u te for difere c b twe n th c re te c mp riso c lbratio of a WS2

micro h n c mp re a ainst a LS1 refere c micro h n a d a pres ure re ipro ity

Un ertainties as o iate with system c lbratio s

Wh n micro h n s arec lbrate as a system (i e in c nju ctio with a pre mplfier) th

efe t d e to a y d viatio from 2 0 V in th p larisatio v lta esu ple b th p wer

su ply u it is n t c n ele o t d rin th me sureme t

Th c mp n nt as o iate with micro h n c p cita c sh uld b re-c nsid re to a c u t

for th c p cita c prese te b th micro h n system to e c of th me sureme t system

D.3 Combined and expande unc rtainties

The combined stan ard u certainty is fou d from the ro t s m-s uare of the u certainty

comp nents, whic gives a value of 0,0 0 dB (a strict calc lation would req ire e c

comp nent to b con erted from logarithmic to l ne r form b fore doin the combination but

as the values are very smal , the res lt would b es ential y the same) The exp n ed

u certainty with a coverage factor of 2 is then 0,0 dB

Trang 24

Bibl ography

[1] BARHAM R BARRERA-FIGUEROA S an AVISON J E M Secon ary pres ure

cal bration of me s rement micro hones Metrologia 51 2 14

[2] JARVIS D.R Method for determinin the pres ure sen itivity of workin stan ard

micro hones – a re ort on Euromet project A31 NPL re ort CIRA(EXT)010, 19 6

[3] FEDTKE T In estigation of secon ary pres ure cal bration method for the phase

resp n e of me s rement micro hones Ac stica 8 Sup l 1, S 17 , 19 6

[4] JARVIS D.R an WATKINS S.A Method for determinin the pres ure sen itivity of

IEC typ WS3 me s rement micro hones NPL re ort CIRA(EXT)0 2, 19 7

[5] WONG G.S.K LIXUE Wu, Interc an e micro hone method for cal bration by

comparison Internoise 9

[6] WONG G.S.K EMBLETON T.F.W Thre -p rt two-micro hone cavity for acou tical

cal bration J Acou t Soc Am 71, p.12 6-12 7, 19 2

[7] WONG G.S.K Precision method for phase matc of micro hones J Acou t Soc Am

9 , p.12 3-12 5, 19 1

[8] IEC 610 4-2:2 0 , Me su reme nt microp ho es – Part 2: Primary meth d forpres ure

calb rato of lab oratory sta dard microp ho es b y th re cip rociy te ch ique

[9] ISO/IEC Guide 9 -3, Uncertainty of me sureme nt – Part 3: G uide to th e p re ssio of

unce rtainty in me sureme t (GUM: 1995)

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