CN201123119Y - Array speaker of folding device - Google Patents

Abstract

The utility model provides an array loudspeaker of the folding-type device. The folding-type device is provided with two crossed planes, the angle of which can be adjusted, and a plurality of array loudspeakers can be arranged on one plane; wherein, a plurality of array loudspeakers can also be arranged on the other plane of the folding-type device, the sound field interference caused by the loudspeakers on the two planes is overlapped, and the acoustic energy is centralized and the changes of the acoustic field are gradual at the in-ear position of the listener. The loudspeaker is arranged on the two planes inside the folding-type device, the quantity and the position of the loudspeaker on the two planes can be changed, thereby, the sound effect that the listener needs can be achieved, when being actually used, the array loudspeaker is provided with adjustability.

Description

The array speaker of folding type device

[technical field]

The utility model relates to a kind of array speaker of folding type device.

[background technology]

In the type of the array speaker that occurs, distributing and hearing effect in order to obtain certain sound field at present, is that a plurality of loud speakers are arranged on the curved surface of a plane or definite shape mostly.

And arranging a plurality of loud speakers with one side, and sound field changes more sharply, mild inadequately in the plane, and auditory effect is bad.

[utility model content]

The technical problem of the required solution of the utility model is to provide a kind of array speaker of folding type device, and its sound field changes milder, and auditory effect is good.

For solving the problems of the technologies described above, the technical solution of the utility model is: a kind of array speaker of folding type device is provided, and described folding type device has two and intersects and the plane of adjustable-angle, and wherein a plane is provided with a plurality of array speakers; Wherein, also be provided with a plurality of array speakers on another plane of described folding type device, the sound field interference stack that the loud speaker on described two planes produces, and in auditor's pleasant position, its acoustic energy is concentrated and sound field changes mild.

Compared with prior art, the array speaker of the utility model folding type device is that loud speaker is arranged on two planes of folding type device inside, can change the quantity and the position of two face upper speaker, thereby reach the acoustics that the auditor needs, have controllability during actual the use.

[description of drawings]

Fig. 1 is a schematic diagram of the present utility model.

Fig. 2 is the test schematic diagram of Fig. 1.

Fig. 3 is the directive property schematic diagram of Fig. 1.

Fig. 4 is that the prior art array speaker places conplane directive property schematic diagram.

[embodiment]

In order to make technical problem to be solved in the utility model, technical scheme and beneficial effect clearer,, the utility model is further elaborated below in conjunction with drawings and Examples.Should be appreciated that specific embodiment described herein only in order to explanation the utility model, and be not used in qualification the utility model.

Seeing also Fig. 1, is a preferred embodiment of the array speaker of the utility model folding type device, and described folding type device is notebook computer in the present embodiment, and described folding type device has crossing a face and b face, the two adjustable angle joint.A face and b face are provided with a plurality of loud speakers 1.Has certain spacing between the adjacent loud speaker 1 on each face.Be placed on the loud speaker 1 on a face and the b face, sound field interference stack can be concentrated and changes mild sound field so that the auditor when being in the appropriate location, can hear acoustic energy.

See also Fig. 2 and Fig. 3, the array speaker of described folding type device can be set on the folding type device by following steps.At first, select loud speaker; Secondly, according to the characteristics that the user uses notebook computer, between a of folding type device face and b face, determine a test point (people's ear position); Once more, use the characteristics of notebook computer to determine angle between a face and the b face according to the user;

At last, pass through formula (total vertical directivity) draws number, the distance of each face upper speaker, and described formula and the angle of two faces, the distance between the adjacent loud speaker, a face speaker center abscissa, diaphragm of loudspeaker effective diameter, a face loud speaker number and the b face loud speaker number of close initial point are relevant.More than in six parameters, because of loud speaker selected, so diaphragm of loudspeaker effective diameter is for determining numerical value, the angle of two faces is to determine numerical value, therefore only need to change the number of loudspeakers on a face and the b face, distance of adjacent loud speaker on each face (adjacent distances between loudspeakers is identical in the present embodiment) and a face the speaker center abscissa of close initial point can simulate total vertical directivity figure, when the vertical directivity figure of simulation meets requiring of test point, the numerical value of these six parameters that adopt this moment is exactly that we want the design result that obtains, and loud speaker is installed in respectively on a face and the b face on request.

Described formula --------------------------------(formula 1) can calculate the sound field directive property near field, draws directivity pattern.Formula (1) is the total vertical directivity between a face and the b face.

Please consult Fig. 2 once more, the derivation of above-mentioned formula (1) is as follows:

A, b: two faces that are used for placing loud speaker

θ ₀: the angle of a, two faces of b

D: the distance between the adjacent loud speaker (distance of establishing in the derivation of equation between the adjacent loud speaker on a, b two sides is consistent)

x _A1: a face the center abscissa of the loud speaker of close initial point (speaker center of establishing on the b face the most close initial point in the derivation of equation also is x apart from the distance of initial point _A1)

λ: wave length of sound

φ: diaphragm of loudspeaker effective diameter

N:a face loud speaker number

M:b face loud speaker number

R: test point (people's ear position) is apart from the distance of initial point

: the angle of measurement direction and x axle

X, y: test point coordinate

X _A1X _A2X _A3X _A4... X _An: a face speaker center abscissa

X _a1＝x _a1，X _a2＝x _a1+d，......X _an＝x _a1+(n-1)d

X _B1X _B2X _B3X _B4... X _Bm: b face speaker center abscissa

Y _B1Y _B2Y _B3Y _B4... Y _Bm: b face speaker center ordinate

......

r _A1r _A2r _A3r _A4... r _An: a face upper speaker central point is apart from the distance of test point

$r_{a1}=\sqrt{y^2+{(x-X_{a1})}^2}$

$r_{a2}=\sqrt{y^2+{(x-X_{a2})}^2}$

......

$r_{\mathrm{an}}=\sqrt{y^2+{(x-X_{\mathrm{an}})}^2}$

r _B1r _B2r _B3r _B4... r _Bm: b face upper speaker central point is apart from the distance of test point

$r_{b1}=\sqrt{{(y-Y_{b1})}^2+{(x-X_{b1})}^2}$

$r_{b2}=\sqrt{{(y-Y_{b2})}^2+{(x-X_{b2})}^2}$

......

$r_{\mathrm{bm}}=\sqrt{{(y-Y_{\mathrm{bm}})}^2+{(x-X_{\mathrm{bm}})}^2}$

θ _A1θ _A2θ _A3θ _A4... θ _An: the angle of a face speaker center axis and test point direction

θ _a1＝arctan[(x-X _a1)/y]

θ _a2＝arctan[(x-X _a2)/y]

......

θ _an＝arctan[(x-X _an)/y]

θ _B1θ _B2θ _B3θ _B4... θ _Bm: the angle of b face speaker center axis and test point direction

${\mathrm{\&theta;}}_{\mathrm{<figure-callout\; id="1"\; label="b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">b</figure-callout>}1}=\frac{\mathrm{\&pi;}}{2}-\mathrm{<figure-callout\; id="1"\; label="arccos\; r\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">arccos</figure-callout>}\frac{{r_b}^{}}{}\frac{{1_{}}^2+({{\mathrm{<figure-callout\; id="1"\; label="Y\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">Y</figure-callout>}}_b}^2+{{\mathrm{<figure-callout\; id="1"\; label="X\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">X</figure-callout>}}_b}^2)-r^2}{2\&times;{\mathrm{<figure-callout\; id="1"\; label="r\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">r</figure-callout>}}_b\&times;\sqrt{({{\mathrm{<figure-callout\; id="1"\; label="Y\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">Y</figure-callout>}}_b}^2+{{\mathrm{<figure-callout\; id="1"\; label="X\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">X</figure-callout>}}_b}^2)}},$

${\mathrm{\&theta;}}_{b2}=\frac{\mathrm{\&pi;}}{2}-\arccos \frac{{r_{b2}}^2+({Y_{b2}}^2+{X_{b2}}^2)-r^2}{2\&times;r_{b2}\&times;\sqrt{({Y_{b2}}^2+{X_{b2}}^2)}},$

......

${\mathrm{\&theta;}}_{\mathrm{bm}}=\frac{\mathrm{\&pi;}}{2}-\arccos \frac{{r_{\mathrm{bm}}}^2+({Y_{\mathrm{bm}}}^2+{X_{\mathrm{bm}}}^2)-r^2}{2\&times;r_{\mathrm{bm}}\&times;\sqrt{({Y_{\mathrm{bm}}}^2+{X_{\mathrm{bm}}}^2)}}$

D ₁(θ _A1) D ₁(θ _A2) D ₁(θ _A3) D ₁(θ _A4) D ₁(θ _An): a face loud speaker is as the directive property coefficient of desirable disc radiating of circular piston device

$D_1\left({\mathrm{\&theta;}}_{a1}\right)=\frac{{2J}_1\left(\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{a1}}{\mathrm{\&lambda;}}\right)}{\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{a1}}{\mathrm{\&lambda;}}},......,$ $D_1\left({\mathrm{\&theta;}}_{\mathrm{am}}\right)=\frac{{2J}_1\left(\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{am}}}{\mathrm{\&lambda;}}\right)}{\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{am}}}{\mathrm{\&lambda;}}}$

D ₁(θ _B1) D ₁(θ _B2) D ₁(θ _B3) D ₁(θ _B4) D ₁(θ _Bm): b face loud speaker is as the directive property coefficient of desirable disc radiating of circular piston device

$D_1\left({\mathrm{\&theta;}}_{b1}\right)=\frac{{2J}_1\left(\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{<figure-callout\; id="1"\; label="b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">b</figure-callout>}1}}{\mathrm{\&lambda;}}\right)}{\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{<figure-callout\; id="1"\; label="b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">b</figure-callout>}1}}{\mathrm{\&lambda;}}},......,$ $D_1\left({\mathrm{\&theta;}}_{\mathrm{bm}}\right)=\frac{{2J}_1\left(\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{bm}}}{\mathrm{\&lambda;}}\right)}{\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{bm}}}{\mathrm{\&lambda;}}}$

D ₂(θ _A1) D ₂(θ _A2) D ₂(θ _A3) D ₂(θ _A4) D ₂(θ _Am), D ₂(θ _B1) D ₂(θ _B2) D ₂(θ _B3) D ₂(θ _B4) D ₂(θ _Bm): the loudspeaker unit directive property coefficient on a, b two sides

$D_2\left({\mathrm{\&theta;}}_{a1}\right)=\frac{\sin \left(\frac{\mathrm{n\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{a1}\right)}{n\sin \left(\frac{\mathrm{\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{a1}\right)},......,$ $D_2\left({\mathrm{\&theta;}}_{\mathrm{an}}\right)=\frac{\sin \left(\frac{\mathrm{n\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{an}}\right)}{n\sin \left(\frac{\mathrm{\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{an}}\right)}$

$D_2\left({\mathrm{\&theta;}}_{b1}\right)=\frac{\sin \left(\frac{\mathrm{m\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{b1}\right)}{m\sin \left(\frac{\mathrm{\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{b1}\right)},......,$ $D_2\left({\mathrm{\&theta;}}_{\mathrm{bm}}\right)=\frac{\sin \left(\frac{\mathrm{m\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{bm}}\right)}{m\sin \left(\frac{\mathrm{\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{bm}}\right)}$

K: the constant of supposition, relevant with atmospheric density etc.

P _A1P _A2P _A3P _A4... P _An: a face loud speaker sound radiation pressure value

$P_{a1}=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{a1}\right)D_2\left({\mathrm{\&theta;}}_{a1}\right)}{r_{a1}},......,$ $P_{\mathrm{an}}=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{\mathrm{an}}\right)D_2\left({\mathrm{\&theta;}}_{\mathrm{an}}\right)}{r_{\mathrm{an}}}$

P _B1P _B2P _B3P _B4... P _Bm: b face loud speaker sound radiation pressure value

${\mathrm{<figure-callout\; id="1"\; label="P\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">P</figure-callout>}}_b=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{b1}\right)D_2\left({\mathrm{\&theta;}}_{b1}\right)}{{\mathrm{<figure-callout\; id="1"\; label="r\; b"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">r</figure-callout>}}_b},......,$ $P_{\mathrm{bm}}=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{\mathrm{bm}}\right)D_2\left({\mathrm{\&theta;}}_{\mathrm{bm}}\right)}{r_{\mathrm{bm}}}$

P ₀: the global radiation sound pressure level

${\mathrm{<figure-callout\; id="0"\; label="P"\; filenames="Y20072011966000141.png"\; state="\{\{state\}\}">P</figure-callout>}}_0=\sqrt{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}\left({P_{\mathrm{ai}}}^2\right)+\underset{j=1}{\overset{m}{\mathrm{\&Sigma;}}}\left({P_{\mathrm{bj}}}^2\right)}$

Thereby draw the directive property result that we want:

Total vertical directivity between two faces

--------------------------(formula 1)

The result of calculation D of formula (1) _AlwaysBe not a simple numerical value, but with

The numerical value that (angle of measurement direction and x axle) changes, according to the numerical value of this variation, the change curve that we can make it is vertical directivity figure (as the curve among Fig. 3).

Six parameter: θ that can change have been comprised in the formula (1) ₀: the angle of two faces, d: the distance between the adjacent loud speaker, x _A1: a face is the speaker center abscissa of close initial point, φ: diaphragm of loudspeaker effective diameter, n:a face loud speaker number, m:b face loud speaker number.

Because D _AlwaysIt is a numerical curve, so be not to calculate this six parameters with formula (1), but by changing the numerical value of above six parameters, simulate total vertical directivity figure, when the vertical directivity figure of simulation meets our requirement, this moment, the numerical value of these six parameters that we adopt was exactly that we want the design result that obtains, thereby determined parameters such as loud speaker number, distance.

Please together consult Fig. 3, suppose when we set the loud speaker number and are respectively 4 in 2 in a face, b face, the directivity pattern of trying to achieve does not meet our requirement, and when our loud speaker number is respectively 3 in 2 in a face, b face, its directivity pattern is the curve among Fig. 2, the curve ratio of this moment meets our requirement, and we have just determined the loud speaker number of this moment like this.

It is square frame place (30 spend between 60 degree), just people's ear position that sound field concentration of energy and acoustic energy change mild zone.As can see from Figure 3, the directive property curvilinear motion at square frame place is mild, and near numeric ratio big (1, and both sides drop to 0.5), illustrates that acoustic energy is concentrated herein.

Compare with the loud speaker of placing on a face of prior art, when the utility model is placed loud speaker on two faces, can see from the directivity pattern of Fig. 3, the sound field Energy distribution that comprises at two faces is concentrated and is changed not quite.By the sound pressure level formula $L_P=20\mathrm{<figure-callout\; id="0"\; label="log\; P\; P"\; filenames="Y20072011966000141.png"\; state="\{\{state\}\}">log</figure-callout>}\frac{P}{P_{}}\frac{{}_0}{}$ And directive property formula (1) can change between positive and negative 3dB in the hope of sound pressure level.

And on a face, place loud speaker, its directivity pattern can be simulated (as Fig. 4), what simulate among the figure is when the b face is placed 3 loud speakers, the directivity pattern of 3000Hz, heavy line is represented two planes of notebook computer, if place, also can obtain the directivity pattern up that is rotated counterclockwise 90 degree of same shape at a face.Fig. 3 and Fig. 4 are compared, and in the time of can finding that the two sides is placed loud speaker and simultaneously placed loud speaker, both acoustic energy are all more concentrated, but can calculate:

Acoustic energy variation from 0 to 30 degree variation is about among Fig. 3 $L_P=20\mathrm{<figure-callout\; id="1"\; label="log"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">log</figure-callout>}\frac{1}{0.5}=6\mathrm{dB},$ Sound field changes mild relatively in whole angle plane.

Corresponding with Fig. 3, the acoustic energy variation is spent to 0 degree variation from-30 and is about among Fig. 4 $L_P=20\mathrm{<figure-callout\; id="1"\; label="log"\; filenames="Y20072011966000131.png,Y20072011966000142.png"\; state="\{\{state\}\}">log</figure-callout>}\frac{1}{0.4}=8\mathrm{dB},$ Sound field changes more sharp-pointed in whole angle plane.

Sound field among Fig. 3 changes more mild, and the loud speaker that its audition sensation is placed than single face is better, and this is the advantage place of placing loud speaker at two faces.The generation reason of this advantage promptly is the interference stack that is placed on two loud speaker sound fields on the face, has produced the directive property performance of the excellence that we want.

The D as a result that formula (1) obtains _AlwaysIt is a numerical curve, its optimum value is not a definite value, but the curve an of the best, the standard of best curve is that auditor's position can be positioned at acoustic energy and distribute to concentrate and change mild zone, so we can determine the angle of two faces in 6 parameters according to the characteristics of user's use notebook earlier, change other parameters such as number, distance of loud speaker again by formula (1), obtain the best curve that we want, number of loudspeakers at this moment, distance etc. are optimum value.

Suppose that general survey shows, when using notebook computer, two face (keyboard and liquid crystal display screen) is mutually about 105 degree angles, and people's face is about 0.3m apart from initial point (centers of two face intersecting straight lines of notebook computer), and angle is between 30 to 60 degree.

When using this array speaker effect notebook boombox array, utilize above-mentioned formula (1) to calculate number of loudspeakers and position: the x axle is placed 2, the y axle is placed 3 loud speakers, distance between the loud speaker is 0.05m, according to simulating directivity pattern this moment, the auditor can be positioned at the regional (see figure 3) that the sound field concentration of energy distributes and the acoustic energy variation is mild preferably, thereby hearing effect is preferably arranged.

Extend to the acoustic surrounding outside the notebook, when the auditor is in different LisPos, want to obtain to concentrate and change mild sound field at this LisPos acoustic energy, can change 6 parameters according to formula (1), by seeking best directive property curve, determine this 6 parameters, thereby collapsible sound column is changed design.

The utility model foldback loudspeaker array is that loud speaker 1 is arranged on two planes, can change the quantity and the position of two face upper speaker 1, thereby reaches the acoustics that the auditor needs, and has controllability during actual the use. The loudspeaker array of folding type device is by the number of two face upper speaker of change and the distance between the adjacent loud speaker, simulate again and meet required total vertical directivity figure, can design the number of two face upper speaker and the distance between the adjacent loud speaker, thereby make the loudspeaker array that designs to reach the acoustics that the auditor needs.

The above only is preferred embodiment of the present utility model; not in order to restriction the utility model; all any modifications of within spirit of the present utility model and principle, being done, be equal to and replace and improvement etc., all should be included within the protection range of the present utility model.

Claims (7)

1. the array speaker of a folding type device, described folding type device have two and intersect and the plane of adjustable-angle, and wherein a plane is provided with a plurality of array speakers; It is characterized in that: also be provided with a plurality of array speakers on another plane of described folding type device, the sound field interference stack that the loud speaker on described two planes produces, and in auditor's pleasant position, its acoustic energy is concentrated and sound field changes mild.

2. the array speaker of folding type device as claimed in claim 1 is characterized in that: have spacing between the adjacent loud speaker on each plane.

3. the array speaker of folding type device as claimed in claim 2, it is characterized in that: the distance of adjacent loud speaker is identical.

4. the array speaker of folding type device as claimed in claim 1 or 2, it is characterized in that: described folding type device is a notebook computer.

5. the array speaker of folding type device as claimed in claim 1, it is characterized in that: the array speaker of described folding type device can change the parameter of numerical value and the formula of total vertical directivity by six

Simulate auditor's the required total vertical directivity figure in pleasant position jointly, this moment, the value of parameter determined the arrangement mode of array speaker on folding type device; Described six parameters are the distance of adjacent loud speaker on two number of loudspeakers, each face on the face, the vibrating diaphragm effective diameter of numerical value, the loud speaker of the speaker center abscissa of close initial point and the angle between two faces of one side wherein; Wherein, P ₀Be the global radiation sound pressure level,

Be auditor's the pleasant position and the angle of x axle,

6. the array speaker of folding type device as claimed in claim 5 is characterized in that: $P_0=\sqrt{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}\left({P_{\mathrm{ai}}}^2\right)+\underset{j=1}{\overset{m}{\mathrm{\&Sigma;}}}\left({P_{\mathrm{bj}}}^2\right)},$ $P_{\mathrm{ai}}=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{\mathrm{ai}}\right)D_2\left({\mathrm{\&theta;}}_{\mathrm{ai}}\right)}{r_{\mathrm{ai}}},$ $\mathrm{Pj}=k\&times;\frac{D_1\left({\mathrm{\&theta;}}_{\mathrm{bj}}\right)D_2\left({\mathrm{\&theta;}}_{\mathrm{bj}}\right)}{r_{\mathrm{bj}}},$ Wherein, P _Ai, P _BjBe two face loud speaker sound radiation pressure values; D ₁(θ _Ai) and D ₂(θ _Bj) be the directive property coefficients of two face loud speakers as desirable disc radiating of circular piston device; θ _AiAnd θ _BjIt is the angle of two face speaker center axis and test point direction; K is for the constant of supposition, and is relevant with atmospheric density.

7. the array speaker of folding type device as claimed in claim 6 is characterized in that: $D_1\left({\mathrm{\&theta;}}_{\mathrm{ai}}\right)=\frac{2\mathrm{Ji}\left(\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{ai}}}{\mathrm{\&lambda;}}\right)}{\frac{\mathrm{\&pi;\&phi;}\sin {\mathrm{\&theta;}}_{\mathrm{ai}}}{\mathrm{\&lambda;}}},$ $D_2\left({\mathrm{\&theta;}}_{\mathrm{bj}}\right)=\frac{\sin \left(\frac{\mathrm{j\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{bj}}\right)}{j\sin \left(\frac{\mathrm{\&pi;d}}{\mathrm{\&lambda;}}\sin {\mathrm{\&theta;}}_{\mathrm{bj}}\right)};$ θ _ai＝arctan[(x-X _ai)/y]， ${\mathrm{\&theta;}}_{\mathrm{bj}}=\frac{\mathrm{\&pi;}}{2}-\arccos \frac{{r_{\mathrm{bj}}}^2+({Y_{\mathrm{bj}}}^2+{X_{\mathrm{bj}}}^2)-r^2}{2\&times;r_{\mathrm{bj}}\&times;\sqrt{({Y_{\mathrm{bj}}}^2+{X_{\mathrm{bj}}}^2)}};$ $=\sqrt{y^2+{(x-X_{\mathrm{ai}})}^2},$ $r_{\mathrm{bj}}=\sqrt{{(y-Y_{\mathrm{bj}})}^2+{(x-X_{\mathrm{bj}})}^2};$

X _Ai=x _A1+ (i-1) d;

Wherein, r _AiAnd r _BjBe the distances of two face upper speaker central points apart from test point; X _BjAnd Y _BjBe one side speaker center abscissa and ordinate wherein, X _AiBe one side speaker center abscissa wherein; X, y are test point coordinate, and λ is a wave length of sound, and φ is a diaphragm of loudspeaker effective diameter, and i, j are two face loud speaker numbers, and r is the distance of test point apart from initial point, and a, b are two faces that are used for placing loud speaker, θ ₀Be the angle of two faces, d is the distance between the adjacent loud speaker on two faces, x _A1Be the center abscissa of the loud speaker of close initial point of one side wherein.

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