CN108682412A - Noise amplifies adjustable feedback active guidance system adaptive design method - Google Patents
Noise amplifies adjustable feedback active guidance system adaptive design method Download PDFInfo
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- CN108682412A CN108682412A CN201810446087.3A CN201810446087A CN108682412A CN 108682412 A CN108682412 A CN 108682412A CN 201810446087 A CN201810446087 A CN 201810446087A CN 108682412 A CN108682412 A CN 108682412A
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- guidance system
- adaptive
- active guidance
- feedback
- feedback active
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- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1785—Methods, e.g. algorithms; Devices
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1781—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions
- G10K11/17821—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions characterised by the analysis of the input signals only
- G10K11/17825—Error signals
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1787—General system configurations
- G10K11/17875—General system configurations using an error signal without a reference signal, e.g. pure feedback
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/30—Means
- G10K2210/301—Computational
- G10K2210/3026—Feedback
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- Engineering & Computer Science (AREA)
- Acoustics & Sound (AREA)
- Multimedia (AREA)
- Soundproofing, Sound Blocking, And Sound Damping (AREA)
Abstract
The invention discloses a kind of adaptive design methods of feedback active guidance system, can effectively be adjusted to noise amplification phenomenon caused by water bed effect.This method objective function J (w)=e2(n)+γwT(n) Aw (n), wherein n are time serial numbers, and e (n) is error signal, and γ is greater than 0 constant for being less than 1, and w (n) is controller coefficient to be designed, and A is the symmetrical Teoplitz positive definite matrix of a reality.W (n) adaptive modes obtained according to gradient descent method are：W (n+1)=(I μ γ A) w (n) μ e (n) x ' (n), wherein I are unit matrix, and μ is greater than 0 constant for being less than 1, and x ' (n) is filtered reference signal.Compared with prior art, the present invention is both a kind of adaptive approach and adjusts noise amplification phenomenon, can not only overcome the shortcomings of offline design method, but also can directly apply in online feedback active guidance system.
Description
One, technical field
The present invention relates to the adaptive design methods of feedback active guidance system, and this method can be to making an uproar caused by water bed effect
Sound amplification phenomenon is effectively adjusted.
Two, background technology
In order to cope with the noise pollution of getting worse, Active control has been acknowledged as mutually arranged side by side with traditional passive control method
A technology.The adaptive design method of active guidance system is fed back as shown in Figure 1, wherein n is time serial number, and e (n) is to miss
Difference signal, d (n) are primary noise signals, and x (n) is reference signal, and s (n) is secondary path,It is the estimated value of s (n), x '
(n) it is x (n) warpsThe filtered reference signal obtained after filtering, w (n) are the controllers of feedback active guidance system to be designed
Coefficient, and feed back the target component of active guidance system design.
Currently, the method for design of feedback system controller coefficient can be divided into two classes, one kind is offline design method, for example,
Bai etc. uses H∞Robust control theory design of feedback system (M.Bai, D.Lee, Implementation of an active
headset by using the H∞Robust control theory, Journal of the Acoustical
Society of America 102(1997)2184-2190)；Rafaely etc. proposes H2/H∞Optimization method design of feedback
System (B.Rafaely, S.J.Elliott, H2/H∞active control of sound in a headrest：design
7 (1999) 79- of and implementation, IEEE Transactions on Control Systems Technology
84)；Zhang etc. flattens come design of feedback control the noise amplification in water bed effect using the optimization method of least square
System (L.Zhang, L.Wu, X.Qiu, An intuitive approach for feedback active noise
74 (2013) 160-168 of controller design, Applied Acoustics)；Relevant patent mainly has：Patent
200510033638.6 realizing feedback closed loop de-noising using second-order low-pass filter, amplifier and all-pass phase shifter.Patent
200710001442.8 realizing active noise reduction using second-order low-pass filter and amplifying circuit.Patent 200910238545.5 uses one
Rank resistance capacitance filters and feedback loop gain unit realizes active de-noising.Patent 200910253182.2 using two stage notch and
Amplifying circuit realizes feedback de-noising.It does not provide the controller frequency characteristic how to be optimized in above-mentioned patent and uses electricity
How parameter in road designs.The main deficiency of offline design method has：First, once w (n) in advance complete not by design
It can adaptively be adjusted with the variation of environment.Have second is that the main thought of such methods is construction one and system anti-acoustic capability
The cost function and constraints of pass calculate controller w (n) then according to this cost function by certain optimization algorithm.So
And the optimization algorithm used in these designs is usually all it cannot be guaranteed that is searched out is exactly optimal solution, in addition, in general optimizing
Algorithm is all more sensitive to the selection of initial value, and enough experiences are usually required in actual design and repeatedly attempt to be expired
The controller parameter of meaning.
Another kind of is Photographing On-line method, for example, the method adjustment feedback control using WAVELET PACKET DECOMPOSITION noise signal such as Luo
Controller (L.Luo, J.Sun, B.Huang, A novel feedback active noise the control for of system processed
116 (2017) 229-237 of broadband chaotic noise and random noise, Applied Acoustics)；
Wu etc. proposes a kind of adaptive feedback control system of simplification (L.Wu, X.Qiu, Y.Guo, A simplified adaptive
81 (2014) 40-46 of feedback active noise control system, Applied Acoustics).These sides
Although method can adaptively adjust w (n) according to the variation of environment, they do not take explicitly into account making an uproar in reponse system
Sound amplifies phenomenon, and noise amplification is caused by the intrinsic water bed effect of reponse system itself.It is domestic at present to be directed to water bed effect
Related patents it is few, patent 201010144284.3 discloses a kind of improvement of feeding back water bed effect of active noise control system
Method, but belong to offline design class method, and this method cannot effectively adjust the frequency band of noise amplification.
Three, invention content
1, goal of the invention：In order to overcome the shortcomings of aforementioned offline design method, while considering that noise amplifies phenomenon, the present invention
Be designed to provide it is a kind of feedback active guidance system adaptive design method, this method obtain anti-acoustic capability it is same
When, it can effectively adjust noise caused by water bed effect and amplify.
2, technical solution：
In order to achieve the above object, the present invention is achieved by the following technical solutions.
(1) objective function is：J (w)=e2(n)+γwT(n)A w(n)
Wherein n is time serial number, and e (n) is error signal, and γ is greater than 0 constant for being less than 1, and w (n) is to be designed anti-
The controller coefficient of active guidance system is presented, A is the symmetrical Teoplitz positive definite matrix of a reality.The object function not only allows for
e2(n), while penalty term γ w being addedT(n)A w(n)。
(2) according to the object function in (1), w (n) the adaptive iteration modes obtained according to gradient descent method are：
W (n+1)=(I- μ γ A) w (n)-μ e (n) x ' (n),
Wherein I is unit matrix, and μ is greater than 0 constant for being less than 1, and x ' (n) is filtered reference signal.The iteration side
It when formula shows w (n) updates to w (n+1), is not only determined by μ e (n) x ' (n), while to be also multiplied by what penalty term in (1) was drawn
(I-μγA)。
(3) in the adaptive iteration mode of (2), the element definition that the i-th row jth arranges in matrix A is：
Wherein, 0 ＜ ω1＜ ω2＜ ω3＜ ω4＜ π, 0 ＜ q1＜ q2＜ 1.Mathematically it can be proved that being defined by a (i, j)
Matrix A in [ω2, ω3] there is in frequency range larger weight q2, and in [ω2, ω3] there is outside frequency range smaller weight q1, this
Kind of setting limits in (2) w (n) in [ω2, ω3] amplitude-frequency response in frequency range, so as to effectively reduce [ω2, ω3] frequency range
The noise of internal feedback control system amplifies.
3, advantageous effect：The distinguishing feature of the present invention is that the object function defined in technical solution (1) had both considered feedback
The anti-acoustic capability of active guidance system is (by e2(n) determine), and add with the relevant constraint of noise amplification (by γ wT(n)Aw
(n) it determines).Compared with prior art, the present invention is both a kind of adaptive method, can be adaptive according to the variation of environment
W (n) is adjusted, and phenomenon can be amplified to the noise in reponse system and be adjusted.Thus the present invention can both overcome offline design
The deficiencies of method is sensitive to initial value, and can directly apply in online feedback active guidance system.
Four, it illustrates
Fig. 1 is the adaptive design method for feeding back active guidance system.
Fig. 2 is active noise reduction earphone experiment schematic diagram.
Fig. 3 is the Experimental comparison results of the present invention and two kinds of existing methods
Five, specific implementation mode
It is elaborated below to the present invention with the experiment of single channel active noise reduction earphone.
1. experiment condition
Active noise reduction earphone experimental provision shown in Fig. 2 is built in anechoic room, is chosen and is based on H2/H∞Offline design side
Method (B.Rafaely, S.J.Elliott, H2/H∞active control of sound in a headrest：design
7 (1999) 79- of and implementation, IEEE Transactions on Control Systems Technology
84) Photographing On-line method (L.Wu, X.Qiu, Y.Guo, A simplified the adaptive feedback and based on FxLMS
81 (2014) 40-46 of active noise control system, Applied Acoustics) and it is proposed by the invention
Design method is compared, to verify the validity of institute's extracting method of the present invention, wherein it is an object of the present invention to limit 2400-
Noise hair in 4000Hz is big.
2. experimental result
Experimental result is as shown in figure 3, the result in comparison diagram in dashed rectangle can be seen that " H2/H∞" there is making an uproar for about 6dB
Sound amplifies, and " FxLMS " method has the noise of about 13dB to amplify, and the method that the present invention is carried is amplified almost without noise.
Claims (1)
1. a kind of adaptive optimal controls method for the feedback active guidance system that can adjust noise amplification phenomenon, feature exist
In：
(1) objective function is：J (w)=e2(n)+γwT(n)A w(n)
Wherein n is time serial number, and e (n) is error signal, and γ is greater than 0 constant for being less than 1, and w (n), which is feedback to be designed, to be had
The controller coefficient of source control system, A are the symmetrical Teoplitz positive definite matrixes of a reality.
(2) according to the object function in (1), w (n) the adaptive iteration modes obtained according to gradient descent method are：
W (n+1)=(I- μ γ A) w (n)-μ e (n) x ' (n),
Wherein I is unit matrix, and μ is greater than 0 constant for being less than 1, and x ' (n) is filtered reference signal.
(3) in the adaptive iteration mode of (2), the element definition of matrix A the i-th row jth row is：
Wherein, 0 ＜ ω1＜ ω2＜ ω3＜ ω4＜ π, 0 ＜ q1＜ q2＜ 1.
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101887718A (en) * | 2010-04-12 | 2010-11-17 | 南京大学 | The improvement method of feeding back water bed effect of active noise control system |
| CN103780522A (en) * | 2014-01-08 | 2014-05-07 | 西安电子科技大学 | Non-orthogonal joint diagonalization instantaneous blind source separation method based on double iteration |
| CN103825852A (en) * | 2014-01-28 | 2014-05-28 | 华南理工大学 | Dual-mode adaptive decision feedback equalization module and realization method thereof |
| US20150296297A1 (en) * | 2014-04-11 | 2015-10-15 | Parrot | Anc active noise control audio headset with reduction of the electrical hiss |
-
2018
- 2018-05-08 CN CN201810446087.3A patent/CN108682412A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101887718A (en) * | 2010-04-12 | 2010-11-17 | 南京大学 | The improvement method of feeding back water bed effect of active noise control system |
| CN103780522A (en) * | 2014-01-08 | 2014-05-07 | 西安电子科技大学 | Non-orthogonal joint diagonalization instantaneous blind source separation method based on double iteration |
| CN103825852A (en) * | 2014-01-28 | 2014-05-28 | 华南理工大学 | Dual-mode adaptive decision feedback equalization module and realization method thereof |
| US20150296297A1 (en) * | 2014-04-11 | 2015-10-15 | Parrot | Anc active noise control audio headset with reduction of the electrical hiss |
Non-Patent Citations (1)
| Title |
|---|
| LIFU WU等: "A generalized leaky FxLMS algorithm for tuning the waterbed effect of feedback active noise control systems", 《MECHANICAL SYSTEMS AND SIGNAL PROCESSING》 * |
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