Acoustical diffusion manifold
10419846 ยท 2019-09-17
Assignee
Inventors
Cpc classification
G10K11/22
PHYSICS
International classification
H04R1/30
ELECTRICITY
G10K11/00
PHYSICS
G10K11/22
PHYSICS
Abstract
An acoustical diffusion manifold transducer system which includes: a surface having a plurality (N or N2), where N is an odd prime number) of acoustical channels arranged in an N jc1 or NN matrix; and each acoustic channel driven by a loudspeaker driver and each channel length governed by the relationship Ti.Math.j=[(i2+j2)rem N]*unit delay. Where T is delay between channels having sequential values in the number sequence and N is a prime number. The channels are arranged to end in an outlet device so that sound waves from the speaker driver arrive in an ordered sequence, the outlet of each channel has the same area. The channels are pathways for sound waves generated by the loudspeaker driver and are preferably enclosed tubes of any suitable cross section.
Claims
1. An acoustical diffusion manifold transducer system comprising: an acoustic loudspeaker driver; a manifold having: a manifold inlet to which the acoustic loudspeaker driver is coupled, a surface defining a manifold outlet, and a plurality of acoustical pathways that each have an inlet end and an outlet end, the manifold being configured such that the inlet ends of the acoustical pathways are in communication with the manifold inlet, and the outlet ends of the acoustical pathways are arranged at the manifold outlet sequentially in an N1 array, where N is the number of acoustical pathways and is also an odd prime number, wherein the length of each acoustical pathway is determined by an individual element solution to a Quadratic Residue Sequence that is multiplied by a pre-determined unit length, plus a pre-determined constant; and wherein the individual element solutions to the Quadratic Residue Sequence are governed by the relationship:
S.sub.n=n.sup.2 rem N, for (0<=n<=N1), in which n is the sequence element number.
2. An acoustical manifold transducer as claimed in claim 1 in which the manifold includes a splitter that separates acoustical energy from the acoustical loudspeaker driver at the manifold inlet into radially arranged inlet ends of the acoustical pathways.
3. An acoustical manifold transducer as claimed in claim 2 in which a cross sectional area of the manifold inlet is about the same as the total area of the outlet ends of the acoustical pathways.
4. An acoustical manifold transducer as claimed in claim 1 in which N is 7.
5. An acoustical manifold transducer as claimed in claim 2 in which the manifold is configured such that the manifold outlet of the acoustical pathways are oriented at an angle greater than a right angle from the manifold inlet.
6. An acoustical manifold transducer system as claimed in claim 5 fitted into a cell phone, vehicle dashboard or television screen support.
7. An acoustical manifold transducer as claimed in claim 2 in which N is 7.
8. An acoustical manifold transducer as claimed in claim 3 in which N is 7.
9. An acoustical manifold transducer as claimed in claim 7 in which the outlets of the acoustical pathways are oriented at an angle greater than a right angle from a hard on collider.
10. An acoustical manifold transducer system as claimed in claim 9 fitted into a cell phone, vehicle dashboard or television screen support.
11. An acoustical manifold transducer as claimed in claim 8 in which the outlets of the acoustical pathways are oriented at an angle greater than a right angle from a hard on collider.
12. An acoustical manifold transducer system as claimed in claim 1 fitted into a cell phone, vehicle dashboard or television screen support.
13. An acoustical manifold transducer as claimed in claim 1, wherein a cross sectional area of each acoustical pathway is substantially constant along it length.
14. An acoustical manifold transducer as claimed in claim 1, further comprising a twister portion within which one or more pairs of acoustical pathways swap positions laterally with respect to the N1 array at the manifold outlet.
15. An acoustical manifold transducer as claimed in claim 1, wherein the outlet end of the acoustical pathway having the shortest length is located centrally within the N1 array at the manifold outlet.
16. An acoustical manifold transducer as claimed in claim 1, wherein the outlet ends of the acoustical pathways having the longest lengths are located inwardly of the outermost outlet ends in the N1 array at the manifold outlet.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS OF THE INVENTION
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(34) The length of each acoustical pathway, or sector 102a, 102b, 102c, 102d is determined by the solutions of a quadratic residue sequence (hereinafter QRS, or alternatively quadratic residue difference QRD) to which a constant offset distance is added, such that the length of each sector 102a, 102b, 102c, 102d is a compromise of layout that accommodates both the sector distance variation requirement to satisfy the QRD design and the ergonomics of practical construction.
(35) The solution to the QRD determines the relative length variation between sectors to be in the sequence 2, 4, 1, 0, 1, 4, and 2 at the outlet 104. The relative position within the natural 7 sectors of the hard on collider is 4, 2, 1, 0, 1, 2, and 4. It is therefore requisite that the outer elements representing the 2 and 4 elements swap past each other along the pathway from the hard on collider to the outlet.
(36)
(37) One such mathematical number sequence which can produce a diffuse wave response with auto-correlation equal to zero is known as a Quadratic Residue Sequence (QRS). The QRS is a number sequence determined by subtracting multiple N from the quadratic (i.e. the second power) of the element in the sequence, in which N is an odd prime number (e.g., 1, 3, 5, 7, 11, 13, 17, 19, 23, 29 . . . ). In its application to the acoustical diffusion manifold 101. N is the number of sectors in the manifold 101. The individual element solutions are governed by the relationship:
(38) S.sub.n=n.sup.2 rem N (i.e. the least non negative remainder resulting when subtracting multiple N from n.sup.2)
(39) Table 1 shows the solutions to a QRS in which N=7, for elements 0 to 13 in the sequence:
(40) TABLE-US-00001 TABLE 1 Element No. Element Squared QRS Solution Number (n.sup.2) (n.sup.2 rem N = S.sub.n) 0 0 0 rem 7 = 0 1 1 1 rem 7 = 1 2 4 4 rem 7 = 4 3 9 9 rem 7 = 2 4 16 16 rem 7 = 2 5 25 25 rem 7 = 4 6 36 36 rem 7 = 1 7 49 49 rem 7 = 0 8 64 64 rem 7 = 1 9 81 81 rem 7 = 4 10 100 100 rem 7 = 2 11 121 121 rem 7 = 2 12 144 144 rem 7 = 4 13 169 169 rem 7 = 1
(41) It is the property of the QRS that any one period (of N adjacent elements) of the sequence can be used to achieve the diffuse wave function. Thus, the sequence can start at any number n, or fraction thereof, so long as it resolves one complete cycle of the sequence, i.e. Nw in periodic width (where w is the width of a well). The following Table 2 starts at n=4 and includes n=10 such that there are seven elements in this period of the sequence, and N=7 elements.
(42) TABLE-US-00002 TABLE 2 Element No. Element Squared QRS Solution S.sub.n Number (n.sup.2) (= n.sup.2 rem N) 4 16 2 5 25 4 6 36 1 7 49 0 8 64 1 9 81 4 10 100 2
(43) The following Table 3 starts at n=2 and includes n=6 10 such that there are five elements in this period of the sequence, and N=5 in the QRS. The solution 4, 1, 0, 1, 4 happens to also appear nested inside the solution of 2, 4, 1, 0, 1, 4, 2 of table 2. It is a property of the QRS that solution for lower prime numbers appear nested inside higher prime number solutions.
(44) TABLE-US-00003 TABLE 3 Element No. Element Squared QRS Solution S.sub.n Number (n.sup.2) (= n.sup.2 rem N) 2 4 4 3 9 1 4 16 0 5 25 1 6 36 4
(45) If a set of solutions S.sub.n for any N, do not suit an application, a constant, can be added to each solution S.sub.n, and then apply the formula: S.sub.n=(S.sub.n+a) rem N, where a is a constant.
(46) Thus for the natural solution for N=7 being 0,1,4,2,24,1 we can add, e.g. a=3 to each S.sub.n and transform the solution to 3,4,0,5,5,0,4.
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(50) In this view the detail of how the hard on collider portion, a circular area divided into 7 (N) equal sectors, segments the acoustic energy from a moving coil loudspeaker into 7 (N) equal area portions.
(51) Each equal portion created by the hard on collider is then acoustically ducted 306 into the sector element pathway for individual guidance, through differing path lengths, and via the twister 303, to the outlet 307.
(52) Some speaker drivers show a significant acceleration of the movement of the apparent acoustic centre at very high frequencies. The acoustic centre will start to move rapidly towards the voice coil of the driver as say above 10 kHz. The manifold design incorporating a concentric splitter arrangement to the hard on collider area 401 (
(53) Previous designs of the acoustic reflector embodiments by this inventor are prone to acoustic centre geometric movements and had to be accommodated for such movements.
(54) The manifold 301 of
(55) Sector 302, which has the shortest length of all seven sectors;
(56) Two sectors 303 that have the same length as each other;
(57) Two sectors 304 that have the same length as each other; and
(58) Two sectors 305 that have the same length as each other, and have the longest lengths of all seven sectors.
(59) The length of sector 302 is 0* unit length plus a constant, I; the lengths of sectors 303, which are immediately adjacent to sector 302, is 1* unit length plus the constant I; the lengths of sectors 304, which at the manifold outlet 307 are each at a lateral side of the array, is 2* unit length plus the constant I, etc. As the constant I is present in the length of each sector, it does not form part of the length difference between channels. It is desired that the elements of acoustic energy radiated from the source 302 (
(60) A preferred practical design of an acoustical diffusion manifold suitable for full range applications a channel outlet width is selected to be 8.15 mm. The overall reflector is therefore 57.05 mm.
(61) The classic QRS solution for when the design frequency is selected to be 2600 Hz is shown in Table 4;
(62) TABLE-US-00004 TABLE 4 Sector QRS refer- Ele- Solu- Length Con- Modified ence ment tion to dou- stant Sector number (n) QRS Length bling I Length 302 0 0 0 mm 0 mm 50 mm 50 mm 303 1 1 9.5 mm 19 mm 50 mm 69 mm 305 2 4 38.1 mm 76.2 mm 50 mm 126.2 mm 304 3 2 19.1 mm 38.2 mm 50 mm 88.2 mm 304 4 2 19.1 mm 38.2 mm 50 mm 88.2 mm 305 5 4 38.1 mm 76.2 mm 50 mm 126.2 mm 303 6 1 9.5 mm 19 mm 50 mm 69 mm
(63) The datum from which the sector channel lengths are measured may be any suitable point on the hard on collider area provided these datums are identical in acoustic timing (phase) and amplitude.
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(66) The closest sector portion is given the 0 element role and the path distance between it and the outlet is set to a minimum. Typically it would not be practical to set this distance to 0 mm. Therefore the resultant distance is considered a constant I which is added to the length of all other element pathways so to add a set distance to all elements pathway. For example, using table 4 as a reference, the constant I is set to be 50 mm. In practice this length I could be meters in length. Such longer constant lengths would allow for the driver to be located somewhat remotely form the outlet. in such a way the drivers could be in the base of a flat screen TV whilst the radiating outlets where located at the edges of the screen. Similarly a car could ave the driver embedded centrally in the dash whilst the outlet was on the surface of the dash.
(67) The hard on collider element adjacent to the 0 sector are assigned the 1 element pathway. The length of this pathway, using table 4 as a reference, is 69 mm being compromised of the constant I of 50 mm and the 1 element solution of 19 mm.
(68) The path taken by the 1 element is arranged such that it overall passage to the outlet translates to 69 mm in path length. Typically the centre line of the sector channel pathway is considered the reference for measuring length. Any resultant errors, due to whatever acoustical phenomena, can be corrected through micro adjustments to the element pathway passage to in effect increase or decrease the elemental length to compensate these errors.
(69) The sectors immediately adjacent to the 1 element are assigned the 2 element pathway length. Using table 4 as a reference the 2 element pathway length is 88.2 mm comprised of the constant I of 50 mm and the 2 element path length of 38.2 mm.
(70) The path taken by the 2 element is arranged such that it overall passage to the outlet translates to 88.2 mm in path length.
(71) The sectors immediately adjacent to the the 2 element are assigned the 4 element pathway length. These two sectors also are adjacent to each other completing the seven sector elements of the hard on collider. Using table 4 as a reference the 4 element pathway length is 126.2 mm comprised of the constant I of 50 mm and the 4 element path length of 76.2 mm.
(72) The path taken by the 4 element is arranged such that it overall passage to the outlet translates to 126.2 mm in path length. However the 2 elements and the 4 element have to traverse past each other to end up in the correct sequence in the outlet manifold.
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(75) In the next section the separator fin has traversed past the vertical limits and hots the side walls. Its length is shorter thus its width is wider such that the cross sectional areas A4 and A2 are maintained. This process continues for the remaining sections. This a constant cross sectional area is maintained for the channels and the channel 2 as the acoustical energy transverses the twister portion.
(76) Two main design variables, the unit depth and the element width govern the useful frequency bandwidth over which the acoustical diffusion manifold is effective. The lowest useful frequency is controlled by the amount of path introduced by the various well depths. The highest useful frequency is controlled by the width of the wells. For frequencies higher than that of which the related wavelength is equivalent to 2the channel width the acoustic energy will not travel on a direct path along the length of the channels. It will travel on diagonal paths along the length of the channels and thus the effective length will be greater than the physical lengths. This will cause the diffusion process to move out of tolerance.
(77) To control the low frequency design frequency of the mechanical diffuse wave generator, the unit length is set to equal 1/N times the design wavelength. For example, if the unit length is 19 millimeters and N=7, then the design wavelength is given by:
(78) X=N19 millimeters=133 millimeter
(79) From this, the design frequency is calculated:
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(81) Below the design frequency the wells become dimensionally insignificant to the phase of the source frequency and the acoustical arrangement acts as a normal radiator or flat surface reflector. The highest frequency at which the reflector is, effective, the cut-off frequency, is governed by the individual well width, w, or the relation to the design frequency. Using the previous example, if the well width is 9.5 millimeters then the cut-off frequency is given by;
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(83) And thus the frequency is given by:
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(85) Another factor that limits the high frequency effectiveness is that the sequence does not work at a frequency of (N1) times the design frequency. That is, still using the numbers of the previous example,
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(87) In this example, cut-off frequency governed by the design frequency is less the lesser of the two limiting frequencies and is thus the actual high frequency cut off point. Therefore, the lower of the two frequencies will be the cut-off frequency. i.e. 15.5 kHz.
(88) To ensure against error interference with the zero auto-correlation property of the diffuse wave function great care and correct compensations have to be incorporated into the design. At zero autocorrelation the output by itself will carry no meaningful information that can be interpreted by an observant receptor such as that of the human listening system. The resultant diffuse wave function is silent. However, the tolerance to errors is very small whereby the percentage error from ideal should be less than 3% in amplitude or phase. The greater the error the more audible the diffuse wave function becomes. It is the intensity of the driving source signal we want to hear in the listening spatial environment, not the diffuse wave function. Because the QRS effects a wide range of frequencies nominally it is most important that the higher end of the useful spectrum of the design maintain a criteria of less than 3% error. As the frequency spectrum lowers, the component wavelength increases and the errors due to path travel will become relatively insignificant provided the source spatial origin remains stationary over the spectral domain.
(89) In a preferred embodiment the cross sectional area of the hard on collider is the same as the total outlet area. Effort is taken to ensure the cross-sectional area of the individual acoustic ducts is constant from the source to the outlet.
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(91) EGIf the concentric splitter diameter is 50 mm them the area of the concentric splitter is given by;
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(93) The area of one sector is;
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(95) If the width of the channel is 9.5 mm then the height of the channel is given by;
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(97) In another embodiment the portion of the acoustical diffusion manifold that forms the hard on collider (305 or
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(99) EGIf the concentric splitter diameter is 50 mm them the area of the concentric splitter is given by;
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(101) The area of one sector is;
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(103) If the width of the channel is 9.5 mm then the height of the channel is given by;
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(105) By introducing a scale factor of 2 we have halved the height of the outlet.
(106) As a consequence we can expect the volume velocity of the acoustic energy inside the channels to be twice that of the previous uncompressed arrangement.
(107) The benefit of such an approach is that the size of the outlet manifold can be reduced and therefore compacting the resultant design.
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(110) The loudspeaker driver is considered to behave as a perfect piston over its applications range of frequencies. If this is not the case then a concentric splitter hard on collider take off arrangement could be used.
(111) If it does not suit to have the loudspeaker driver coupled directly to the hard on collider area then a small cavity of air can be used to compliantly couple these elements. The compliance space effect of absorbing low frequencies are arranged to occur below the effective radiation active portion of the smartphone loudspeaker driver. For a Cobra loudspeaker the active region of radiation is usually 500 Hz and above. Thus the compliant cavity should become an acoustical short circuit at 500 Hz and above.
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(113) TABLE-US-00005 TABLE 5 Ele- Solution Length Modified ment to QRD Length doubling Constant I Length 0 0 0 mm 0 mm 16 mm 16 mm 1 1 9.5 mm 15.5 mm 16 mm 31.5 mm 2 4 38.1 mm 62 mm 16 mm 78 mm 3 2 19.1 mm 31 mm 16 mm 47 mm 4 2 19.1 mm 31 mm 16 mm 47 mm 5 4 38.1 mm 62 mm 16 mm 78 mm 6 1 9.5 mm 15.5 mm 16 mm 31.5 mm
(114) To control the low frequency design frequency of the miniature acoustical diffusion manifold, the unit length is set to equal 1/N times the design wavelength. For example, if the unit length is 15.5 millimeters and N=7, then the design wavelength is given by:
(115) X=N15.5 millimeters=108.6 millimeter
(116) From this, the design frequency is calculated:
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(118) Below the design frequency the wells become dimensionally insignificant to the phase of the source frequency and the acoustical arrangement acts as a normal radiator or flat surface driver. The highest frequency at which the reflector is effective, the cut-off frequency, is governed by the individual well width, w, or the relation to the design frequency. Using the previous example, if the well width is 3.0 millimeters then the cut-off frequency is given by;
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(120) And thus the frequency is given by:
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(122) Another factor that limits the high frequency effectiveness is that the sequence does not work at a frequency of (N1) times the design frequency. That is, still using the numbers of the previous example,
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(124) In this example, cut-off frequency governed by design frequency is less the lesser of the two limiting frequencies and is thus the actual high frequency cut off point. Therefore, the lower of the two frequencies will be the cut-off frequency. i.e. 19 kHz.
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(126) Using table 5 as a reference the centre element 1205 is given the path length 16 mm.
(127) Adjacent to the centre element 1205 but on the opposite side are the intakes to element 4 1207. These element are diverted to the lower layer via ducts 1207 and reappear adjacent the array outlet at locations 1203. These 4 pathways are manipulated in length such that they are 78 mm long.
(128) On the same side as the centre 0 element 1205 but to either side is the 1 element 1204 that is 31.5 mm long in pathway length.
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(131) As the diaphragm of the cobra has radiuses corners care has to be taken to compensate for this in the 2 element take off areas. As the area above the diaphragm is so small it is not possible to have normal sized channels areas in the take off hard on collider area. Thus a compression scale is used.
(132) The diaphragm is 12 mm long and 8 mm high. Thus it has a cross sectional area of 128=96 mm.sup.2
(133) As the outlet is 14 mm.sup.2 a scale of 96/14=6.9 compression factor is implicit in this design. Thus the volume velocities are 6.9 times higher in the channels than at the diaphragm. One needs to be careful not to enter into non linear acoustic sound pressure levels within the channels when implementing these high scale factors.
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(135) There is little spectral bass below 500 z in this device. It is plausible to convert bass sounds into their equivalent sudden phase jumps on a carrier frequency above 500 Hz such that these bass sounds become perceptible via the temporal information channel to the brain rather than the spectral information channel to the brain that will require FFT energy below 500 Hz. Spectral energy below 500 Hz is simply not supported by the physics of these small speaker drivers.
(136) A benefit of the increased sound pressure levels due to increased volume velocities is an increased radiated sound pressure level into the listening space.
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(140) This image will exhibit depth of field as well as specular imaging between channels.
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(142) TABLE-US-00006 y01 and y02 y02 and y03 y03 and y04 y04 and y01 y01 and y03 y02 and y04
(143) and they will create four overhead zero phase sound fields from the stereo interaction between;
(144) TABLE-US-00007 y01 and y05 y02 and y05 y03 and y05 y04 and y05
(145) This will provide an immersive reality acoustic through the recording and manipulation of a 5 channel audio signal. Encoding 5 channels of audio in a digital file is known in the art. A zero phase zone such as described is a simulation of a live acoustic sound field.
(146) 6 lateral stereo zero phase soundfields
(147) 4 vertical zero phase soundfields
(148) 5 direct mono zero phase soundfields
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(157) Similarly other loudspeaker drivers suitable to other consumer electronic and industrial applications dimensions and power output can have an acoustical diffusion manifold designed which when coupled to that driver increase the resultant clarity, coverage, and imagery of the listening experience.
(158) Other suitable number sequences are those used in signal processing such as a Barker code, a zero auto-correlation sequence or a complementary sequence
(159) The invention has been described with reference to specific embodiments. It will be apparent to those skilled in the art that various modifications may be made and other embodiments can be used without departing from the broader scope of the invention. For example, alternative forms of zero autocorrelation sequences or methods of achieving relative sequence element time delays may be used in the present invention. Therefore, these and other variations upon the specific embodiments are covered by the present invention.