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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Trang 3Partie 5: Méthodes pour l'étalonnage en pression par comparaison des
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Trang 4CONTENTS
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
Trang 5Fig 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
Trang 6INTERNATIONAL ELECTROTECHNICAL COMMISSION
Part 5: Methods for pressure cal bration of working
standard microphones by comparison
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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;
Trang 7The 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
Trang 8ELECTROACOUSTICS – 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
Trang 93.4
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
Trang 10by 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
Trang 11In 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 12Alternatively, 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 137.3 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 14NOT 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 15Annex 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 16A.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 17If 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 18Annex 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 19monitor 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 20Annex 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 21Annex 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 22Table 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 23Ad 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 24Bibl 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)
_ _ _ _ _ _