CN106023973B - A kind of working method of electronic percussion instrument - Google Patents

A kind of working method of electronic percussion instrument Download PDF

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Publication number
CN106023973B
CN106023973B CN201610317076.6A CN201610317076A CN106023973B CN 106023973 B CN106023973 B CN 106023973B CN 201610317076 A CN201610317076 A CN 201610317076A CN 106023973 B CN106023973 B CN 106023973B
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signal
pressure
value
pressure sensor
working method
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CN106023973A (en
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刘德文
阮广璇
陈洪波
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MEET STUDIO Co Ltd
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MEET STUDIO Co Ltd
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10HELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H3/00Instruments in which the tones are generated by electromechanical means
    • G10H3/12Instruments in which the tones are generated by electromechanical means using mechanical resonant generators, e.g. strings or percussive instruments, the tones of which are picked up by electromechanical transducers, the electrical signals being further manipulated or amplified and subsequently converted to sound by a loudspeaker or equivalent instrument
    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10HELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H2250/00Aspects of algorithms or signal processing methods without intrinsic musical character, yet specifically adapted for or used in electrophonic musical processing
    • G10H2250/131Mathematical functions for musical analysis, processing, synthesis or composition
    • G10H2250/215Transforms, i.e. mathematical transforms into domains appropriate for musical signal processing, coding or compression
    • G10H2250/235Fourier transform; Discrete Fourier Transform [DFT]; Fast Fourier Transform [FFT]

Abstract

The present invention relates to instrument devices fields, disclose a kind of working method of electronic percussion instrument.Pass through the working method of the electronic percussion instrument, it can be according to the offset of the X/Y axis on the striking speed of dynamic spatial location and pressure measurement user and impact key, and corresponding signal spectrum figure is obtained by Fourier space transformation, finally under the Mappings of Helmholtz resonator, sound of the band frequency between 20-50Hz is issued.This working method can be applied to the scenes such as composition creation, instrument playing practice, and will play a great role in music formative education and field of music therapy.

Description

A kind of working method of electronic percussion instrument
Technical field
The present invention relates to instrument devices fields, and in particular, to a kind of working method of electronic percussion instrument.
Background technique
Traditional instrument is more demanding to player, and can only play out a kind of sound of single musical instrument.People need into The academic program of row many years can be only achieved the level for playing certain musical instrument freely.But common Amateur Music fan is come It says, musical instrument that is easy to operate and can playing out a variety of music is only the best solution tool for meeting its demand.
Summary of the invention
Aiming at the problem that above-mentioned current traditional instrument equipment, the present invention provides a kind of work sides of electronic percussion instrument Method, can be according to the offset of the X/Y axis on the striking speed of dynamic spatial location and pressure measurement user and impact key, and passes through Fourier space transformation obtains corresponding signal spectrum figure, finally under the Mappings of Helmholtz resonator, issues one section Sound of the frequency between 20-50Hz.This working method can be applied to the scenes such as composition creation, instrument playing practice, and will be It plays a great role in music formative education and field of music therapy.
The technical solution adopted by the present invention provides a kind of working method of electronic percussion instrument, which is characterized in that including Following steps: S101. calculates the dynamic spatial location P of impact point using a station method topology, while being surveyed using pressure sensing Calculate to amount technology cycle the dynamic pressure value F of impact point;S102. to the dynamic spatial location P and the dynamic pressure Value F carries out Fourier transform, obtains with the periodic signal f (t) of triangle Fourier space formal expansion;S103. to the week Phase signal f (t) carries out spectrum analysis processing, obtains the first signal spectrum figure of periodic signal f (t);S104. to first letter Number spectrogram carries out discrete sampling processing, obtains the second signal spectrogram as made of limited sine-wave superimposed;S105. basis Helmholtz resonator principle carries out voice mapping processing to the second signal spectrogram, obtains frequency between 20-50Hz's Low-frequency sine electric signal;S106. the low-frequency sine electric signal is sent to loudspeaker, carries out voice broadcasting.
Specifically, in the step of the dynamic pressure value F for periodically calculating impact point using pressure sensing measuring technique Include the following steps: that S201. periodically acquires the induced voltage signal that multiple pressure sensors generate in rapid;S202. basis Following formula calculates pressure suffered by each pressure sensor and value FSumWith centre-of-pressure position (X0, Y0):
In formula, n is the sum of pressure sensor, X0For the abscissa of centre-of-pressure position, Y0For the vertical of centre-of-pressure position Coordinate, U0nFor the inductive voltage value of n-th of pressure sensor, U'0nFor the operating voltage value of n-th of pressure sensor, matrix K For the inductive voltage value of each pressure sensor and operating voltage value are mapped as the pressure and value FSumWith the Center of Pressure Position (X0, Y0) constant coefficient mapping matrix, kfnFor the matrix element for being located at the first row and the n-th column in the constant coefficient mapping matrix Element, kxnFor the matrix element for being located at the second row and the n-th column in the constant coefficient mapping matrix, kynSquare is mapped for the constant coefficient It is located at the matrix element of the third line and the n-th column in battle array;S203. by the centre-of-pressure position (X0, Y0) empty with the dynamic of impact point Between position P corresponded to, and according to the pressure and value FSumWith the centre-of-pressure position (X0, Y0) calculate impact point dynamic Pressure value F.
Further specifically, the expression formula of the constant coefficient mapping matrix K are as follows:
In formula, n is the sum of pressure sensor, UnFor the reference voltage of n-th of pressure sensor, RnfFor n-th of pressure The feedback resistance of sensor, kknFor the characteristic curve of n-th of pressure sensor, pnxFor the horizontal seat of n-th of pressure sensor Mark, pnyFor the ordinate of n-th of pressure sensor.
Specifically, the triangle Fourier expansion form of the periodic signal f (t) is as follows:
In formula, ω0=2 π t are fundamental frequency, m ω0For m subfrequency, AmFor the corresponding Fourier triangle of m subharmonic Shape fourier coefficient, θmFor m subharmonic first phase.
Specifically, the step S103 includes the following steps: that S301. carries out at adding window frame by frame the periodic signal f (t) Reason, obtains several signal frames;S302. corresponding FFT spectrum is calculated frame by frame;S303. pseudo-colours is carried out to all FFT spectrums Mapping, obtains the first signal spectrum figure of the periodic signal f (t).
Further specifically, using the framing windowed function of Matlab system: hamming in the step S301 (N), hanning (N), blackman (N) and bartlett (N) carry out windowing process frame by frame to the periodic signal f (t), In, N is frame length;In the step S302, use the FFT function of Matlab system: fft (S) and plural number take conjugate function: Conj (Z) calculates corresponding FFT spectrum, wherein S is the frame signal after adding window, and Z is the calculated result of fft (S) function;In In the step S303, all FFT spectrums are carried out using the False color mapping function colormap (MAP) of Matlab system False color mapping, wherein MAP is False color mapping vector.
Further specifically, further including following steps after the step S303: S304. uses the frequency of Matlab system Spectrogram explicit function: imagese (t, f, C) shows the first signal spectrum figure, wherein t is time coordinate, and f is frequency seat Mark, C are the colored level value from amplitude spectrum after the mapping of pseudo- color.
Specifically, including the following steps: that S401. obtains the period letter using period point count in the step S104 The cycle T of number f (t);S402. discrete sampling processing is carried out to the periodic signal f (t) using the cycle T, obtained corresponding Discrete sampling value sequence f (Δ ti), (i=0,1 ..., N0);S403. the discrete sampling value sequence f (Δ ti) is carried out Judgement is read, and is clipped the part less than a signal period from tail portion, is obtained data f ' (the Δ t* containing the integer signal period I), (i=0,1 ..., N0-1);S404. simultaneous solution obtains the parameter of each secondary frequency point as follows, obtain by limited sine-wave superimposed and At second signal spectrogram:
In formula, CmA0、AmAnd BmThe fourier series expression of periodic function is corresponded to for the second signal spectrogram Formula:
In parameter.
Specifically, including the following steps: S501. according to interframe frequency matching criterior to described in the step S105 Each secondary sine wave in binary signal spectrogram carries out peak value matching, obtains matched sine wave parameter;S502. to it is matched just String wave parameter carries out interpolation processing;S503. by the sine wave parameter of interpolated processing and preset Helmholtz resonator scale Voice mapping is carried out, low-frequency sine electric signal of the frequency between 20-50Hz is obtained.
To sum up, using the working method of electronic percussion instrument provided by the present invention, have the following beneficial effects: that (1) is adopted With the dynamic spatial location of station method topology measurement impact point, the need of dynamic spatial location real―time precision measurment can be met It asks, can operate in insertion type equipment;(2) pressure measurement sensing technology is used, multiple diaphragm pressures is periodically acquired and passes The information of sensor, can accurate calculation go out the pressure value of tested impact point;(3) it has created a kind of by position and pressure sensing parameter exhibition It opens as triangular form Fourier space, and signal spectrum, which divides, to be realized to Fourier space processing result using based on Matlab system Analysis and display, make corresponding spectrogram, belong to multi-field intersection innovation achievement;(4) according to the design of Helmholtz resonator Principle, will measure resulting sine-wave superimposed and carry out mapping processing can obtain the sine wave signal of one section of specific frequency, and frequency is situated between Between 20-50Hz, after loudspeaker plays, due to the uniqueness of its frequency dimension, the music of generation can give human psychological and Sheng Pleasant sensation and euphoria in reason have therapeutic effect medically.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with It obtains other drawings based on these drawings.
Fig. 1 is the flow chart of work methods of electronic percussion instrument provided by the invention.
Fig. 2 is that a station method measures mathematical model in the working method of electronic percussion instrument provided by the invention.
Fig. 3 is to realize signal spectral analysis with Matlab system in the working method of electronic percussion instrument provided by the invention With the signal dynamics spectrogram of a voice of display methods.
Specific embodiment
Hereinafter reference will be made to the drawings, describes the work of electronic percussion instrument provided by the invention in detail by way of example Method.It should be noted that the descriptions of the manners of these embodiments are used to facilitate the understanding of the present invention, but composition pair Restriction of the invention.
Various technologies described herein can be used for but be not limited to instrument devices field, can be also used for other similar necks Domain.
The terms "and/or", only a kind of incidence relation for describing affiliated partner, indicates that there may be three kinds of passes System, for example, A and/or B, can indicate: individualism A, individualism B exist simultaneously tri- kinds of situations of A and B, the terms "/and " it is to describe another affiliated partner relationship, indicate may exist two kinds of relationships, for example, A/ and B, can indicate: individually depositing In A, two kinds of situations of individualism A and B, in addition, character "/" herein, typicallying represent forward-backward correlation object is a kind of "or" pass System.
Embodiment one
Fig. 1 shows the flow chart of work methods of electronic percussion instrument provided by the invention, and Fig. 2 shows offers of the present invention Electronic percussion instrument working method in a station method measure mathematical model, Fig. 3 shows electronic percussion provided by the invention The signal dynamics frequency spectrum of a voice of signal spectral analysis and display methods is realized in the working method of device with Matlab system Figure.The working method of the electronic percussion instrument provided in this embodiment includes the following steps.
S101. the dynamic spatial location P of impact point is calculated using a station method topology, while being measured using pressure sensing Calculate to technology cycle the dynamic pressure value F of impact point.
In step s101, one station method topology of the use calculates the method for the dynamic spatial location P of impact point such as Under: as shown in Fig. 2, setting P point as the dynamic spatial location (coordinate points of i.e. tested impact key) of impact point, pass through angle sensor It is α with the vertical direction angle for measuring coordinate system central point O that device measurement, which obtains point P, and horizontal direction angle is β, passes through distance and passes It is d that sensor measurement, which obtains O point to the distance of P point, so as to which the spatial position coordinate of point P is calculated according to system model Value.
In step s101, specifically, periodically calculating the dynamic of impact point using pressure sensing measuring technique described Include the following steps: that S201. periodically acquires the induced voltage letter that multiple pressure sensors generate in the step of state pressure value F Number;S202. pressure suffered by each pressure sensor and value F are calculated according to the following formulaSumWith centre-of-pressure position (X0, Y0):
In formula, n is the sum of pressure sensor, X0For the abscissa of centre-of-pressure position, Y0For the vertical of centre-of-pressure position Coordinate, U0nFor the inductive voltage value of n-th of pressure sensor, U'0nFor the operating voltage value of n-th of pressure sensor, matrix K For the inductive voltage value of each pressure sensor and operating voltage value are mapped as the pressure and value FSumWith the Center of Pressure Position (X0, Y0) constant coefficient mapping matrix, kfnFor the matrix element for being located at the first row and the n-th column in the constant coefficient mapping matrix Element, kxnFor the matrix element for being located at the second row and the n-th column in the constant coefficient mapping matrix, kynSquare is mapped for the constant coefficient It is located at the matrix element of the third line and the n-th column in battle array;S203. by the centre-of-pressure position (X0, Y0) empty with the dynamic of impact point Between position P corresponded to, and according to the pressure and value FSumWith the centre-of-pressure position (X0, Y0) calculate impact point dynamic Pressure value F.
The pressure sensor can be, but not limited to as thin-film pressure sensor, by taking hand dish as an example, in the strike of hand dish Position is disposed with 8 diaphragm pressure sensors, and each thin-film pressure sensor has high sensitivity, can pat in user When, by generate induced voltage signal record in real time user striking speed, impact position on X/Y axis faint offset and Pressure Pa on the position of power.The expression formula of the constant coefficient mapping matrix K are as follows:
In formula, n is the sum of pressure sensor, UnFor the reference voltage of n-th of pressure sensor, RnfFor n-th of pressure The feedback resistance of sensor, kknFor the characteristic curve of n-th of pressure sensor, pnxFor the horizontal seat of n-th of pressure sensor Mark, pnyFor the ordinate of n-th of pressure sensor.In step s 201, it can be, but not limited to acquire 8 using 10ms as the period The induced voltage signal of the generation of diaphragm pressure sensor,
Then according to step S202 and step S203 can accurate calculation go out the dynamic pressure value of impact point.
S102. Fourier transform is carried out to the dynamic spatial location P and dynamic pressure value F, obtained with triangle The periodic signal f (t) of Fourier space formal expansion.
In step s 102, the triangle Fourier expansion form of the periodic signal f (t) is as follows:
In formula, ω0=2 π t are fundamental frequency, m ω0For m subfrequency, AmFor the corresponding Fourier triangle of m subharmonic Shape fourier coefficient, θmFor m subharmonic first phase.
S103. spectrum analysis processing is carried out to the periodic signal f (t), obtains the first signal frequency of periodic signal f (t) Spectrogram.
In step S104, specifically, the step S103 includes the following steps: S301. to the periodic signal f (t) Windowing process frame by frame is carried out, several signal frames are obtained;S302. corresponding FFT (Fast Fourier is calculated frame by frame Transformation, fast Fourier transform) frequency spectrum;S303. False color mapping is carried out to all FFT spectrums, obtained described The first signal spectrum figure of periodic signal f (t).Further specifically, can be, but not limited to based on Matlab system (MATrix LABoratory, matrix labotstory are a business mathematics software produced by The MathWorks company, the U.S., for calculating The advanced techniques computational language and interactive environment that method exploitation, data visualization, data analysis and numerical value calculate;In addition to matrix Outside the common functions such as operation, drafting function/data image, MATLAB can also be used to create user interface and with call other languages The program that speech (including C, C++ and FORTRAN) is write) signal spectral analysis is realized to Fourier space processing, it makes accurately First signal spectrum figure: in the step S301, using the framing windowed function of Matlab system: hamming (N), Hanning (N), blackman (N) and bartlett (N) carry out windowing process frame by frame to the periodic signal f (t), wherein N For frame length;In the step S302, use the FFT function of Matlab system: fft (S) and plural number take conjugate function: conj (Z) FFT spectrum of the periodic signal f (t) is calculated, wherein S is the frame signal after adding window, and Z is the calculating of fft (S) function As a result;In the step S303, using Matlab system False color mapping function colormap (MAP) to FFT spectrum into Row False color mapping, wherein MAP is False color mapping vector.MAP is one 64 × 3 matrix, first, second, and third The value of column respectively indicates red, green and blue saturation degrees.For example, MAP=[0 0 0] indicates the mapping of a black;MAP =[1 1 1] indicate a pure white mapping;MAP=[1 0 0] indicates a pure red mapping.
Further specifically, further including following steps after the step S303: S304. uses the frequency of Matlab system Spectrogram explicit function: imagese (t, f, C) shows the first signal spectrum figure, wherein t is time coordinate, and f is frequency seat Mark, C are the colored level value from amplitude spectrum after the mapping of pseudo- color.C is the colour from amplitude spectrum after False color mapping Level value.If the framing number of whole section of voice is M, then t is the row vector of M dimension, its value is corresponding to every frame starting point Time serial number, the effective sampling point of the frequency domain of frequency spectrum are N/2, so f is the row vector of a N/2, each element corresponds to frequency spectrum width Angle value.Correspondingly, C is the matrix of a M × (N/2) dimension.
As shown in Figure 3 one realizes the signal of a voice of signal spectral analysis and display methods with Matlab system Dynamic spectrum figure.When calling spgram () function, partial parameters used are set as: Winsiz=256, Shift=64, Base =0, Coltype=1 (MAP=hot).Descending be mapped to of spectrum value is shown by becoming clear to dark pseudo-colours in this figure Show, it is possible thereby to be clearly observed the resonance peak structure of voiced segments.
S104. discrete sampling processing is carried out to the first signal spectrum figure, obtains being formed by limited sine-wave superimposed Second signal spectrogram.
In the step S104, specifically, including the following steps: that S401. obtains the period using period point count The cycle T of signal f (t);S402. discrete sampling processing is carried out to the periodic signal f (t) using the cycle T, obtains and corresponds to Discrete sampling value sequence f (Δ ti), (i=0,1 ..., N0);S403. to the discrete sampling value sequence f (Δ ti) into Row judgement is read, and is clipped the part less than a signal period from tail portion, is obtained the data f ' (Δ containing the integer signal period T*i), (i=0,1 ..., N0-1);S404. simultaneous solution obtains the parameter of each secondary frequency point as follows, obtains by limited sine-wave superimposed Made of second signal spectrogram:
In formula, CmA0、AmAnd BmThe fourier series expression of periodic function is corresponded to for the second signal spectrogram Formula:
In parameter.
S105. voice mapping processing is carried out to the second signal spectrogram according to Helmholtz resonator principle, obtained Low-frequency sine electric signal of the frequency between 20-50Hz.
In the step S105, specifically, including the following steps: S501. according to interframe frequency matching criterior to described Each secondary sine wave in second signal spectrogram carries out peak value matching, obtains matched sine wave parameter;S502. to matched Sine wave parameter carries out interpolation processing;S503. by the sine wave parameter of interpolated processing and preset Helmholtz resonator sound Rank carries out voice mapping, obtains low-frequency sine electric signal of the frequency between 20-50Hz.
In step S501, by carrying out the matching, the sine wave freuqency that may be matched, amplitude and phase ginseng Number, but due to the time variation of these parameters, will directly be will lead to these parameter synthesis voices discontinuous between frame and frame Property, the quality of synthetic speech signal can be reduced.Therefore, it is necessary to take measures and make smoothed between frame between frames It crosses, a kind of common method is exactly to carry out interpolation to sine wave signal parameter, and specific method can be, but not limited to are as follows: to Matched phase and amplitude carries out cube interpolation and an interpolation, the speech signal parameter after then acquiring interpolation respectively.In addition, Still illustrate the parameter preset of the Helmholtz resonator scale by taking hand dish as an example: being equipped with a basis in the bottom centre of hand dish Hole " Gu " of Helmholtz resonator principle design, is then equipped with 7 lines, around central point basis line " Ding " at an upper portion thereof It is arranged from down to height with zigzag, and each line and the Helmholtz resonator of main body is enable to empathize, concurrently set basis Sound is D2, and center " Ding " is D3, and five ranks are double bass A3 in sound ring, the D4 and A4 spent in scales including its eight down, " Gu " is D5.The sine wave parameter of interpolated processing and preset Helmholtz resonator scale are finally subjected to voice mapping, Obtain low-frequency sine electric signal of the frequency between 20-50Hz.
S106. the low-frequency sine electric signal is sent to loudspeaker, carries out voice broadcasting.
According to above step, a kind of work of electronic percussion instrument based on position and pressure sensing technology can be finally realized Method can be applied to the scenes such as composition creation, instrument playing practice.
The working method of the electronic percussion instrument provided in this embodiment has the following technical effect that (1) using a station Method topology measures the dynamic spatial location of impact point, can meet the needs of dynamic spatial location real―time precision measurment, can transport For in insertion type equipment;(2) pressure measurement sensing technology is used, the letter of multiple diaphragm pressure sensors is periodically acquired Breath, can accurate calculation go out the pressure value of tested impact point;(3) having created a kind of by position and pressure sensing parametric evolving is triangle Type Fourier space, and to the analysis of Fourier space processing result realization signal spectrum and shown using based on Matlab system Show, make corresponding spectrogram, belongs to multi-field intersection innovation achievement;It (4), will according to the design principle of Helmholtz resonator The sine wave signal of one section of specific frequency can be obtained by measuring resulting sine-wave superimposed and carrying out mapping processing, and frequency is between 20- Between 50Hz, after loudspeaker plays, due to the uniqueness of its frequency dimension, the music of generation can to human psychological and physiologically Pleasant sensation and euphoria have therapeutic effect medically.
As described above, the present invention can be realized preferably.For a person skilled in the art, religion according to the present invention It leads, the working method for designing various forms of electronic percussion instruments does not need creative labor.The present invention is not being departed from Principle and spirit in the case where these embodiments are changed, modify, replace, integrating and modification still falls within guarantor of the invention It protects in range.

Claims (9)

1. a kind of working method of electronic percussion instrument, which comprises the steps of:
S101. the dynamic spatial location P of impact point is calculated using a station method topology, while using pressure sensing measuring technique Periodically calculate the dynamic pressure value F of impact point, wherein the dynamic for calculating impact point using a station method topology is empty Between position P method it is as follows: set P point as the dynamic spatial location of impact point, point P obtained by angular transducer measurement and is surveyed The vertical direction angle for measuring coordinate system central point O is α and horizontal direction angle is β, obtains O point extremely by range sensor measurement The distance of P point is d, and the spatial position coordinate value of point P is finally calculated according to system model;
S102. Fourier transform is carried out to the dynamic spatial location P and dynamic pressure value F, obtained in triangle Fu The periodic signal f (t) of leaf progression form expansion;
S103. spectrum analysis processing is carried out to the periodic signal f (t), obtains the first signal spectrum figure of periodic signal f (t);
S104. discrete sampling processing is carried out to the first signal spectrum figure, obtains as made of limited sine-wave superimposed the Binary signal spectrogram;
S105. voice mapping processing is carried out to the second signal spectrogram according to Helmholtz resonator principle, obtains frequency Between the low-frequency sine electric signal of 20-50Hz;
S106. the low-frequency sine electric signal is sent to loudspeaker, carries out voice broadcasting.
2. a kind of working method of electronic percussion instrument as described in claim 1, which is characterized in that passed described using pressure Include the following steps: in the step of calculating to sensed quantity technology cycle the dynamic pressure value F of impact point
S201. the induced voltage signal that multiple pressure sensors generate periodically is acquired;
S202. pressure suffered by each pressure sensor and value F are calculated according to the following formulaSumWith centre-of-pressure position (X0, Y0):
In formula, n is the sum of pressure sensor, X0For the abscissa of centre-of-pressure position, Y0For the vertical seat of centre-of-pressure position Mark, U0nFor the inductive voltage value of n-th of pressure sensor, U'0nFor the operating voltage value of n-th of pressure sensor, matrix K is The inductive voltage value of each pressure sensor and operating voltage value are mapped as the pressure and value FSumWith the Center of Pressure position Set (X0, Y0) constant coefficient mapping matrix, kfnFor the matrix element for being located at the first row and the n-th column in the constant coefficient mapping matrix Element, kxnFor the matrix element for being located at the second row and the n-th column in the constant coefficient mapping matrix, kynSquare is mapped for the constant coefficient It is located at the matrix element of the third line and the n-th column in battle array;
The expression formula of the constant coefficient mapping matrix K are as follows:
In formula, n is the sum of pressure sensor, UnFor the reference voltage of n-th of pressure sensor, RnfFor n-th of pressure sensing The feedback resistance of device, kknFor the characteristic curve of n-th of pressure sensor, pnxFor the abscissa of n-th of pressure sensor, pnyFor the ordinate of n-th of pressure sensor;
S203. by the centre-of-pressure position (X0, Y0) carried out with the dynamic spatial location P of impact point it is corresponding, and according to the pressure Power and value FSumWith the centre-of-pressure position (X0, Y0) calculate impact point dynamic pressure value F.
3. a kind of working method of electronic percussion instrument as described in claim 1, which is characterized in that the periodic signal f (t) Triangle Fourier expansion form it is as follows:
In formula, ω0=2 π t are fundamental frequency, m ω0For m subfrequency, AmFor corresponding Fourier triangle Fu of m subharmonic Vertical leaf system number, θmFor m subharmonic first phase.
4. a kind of working method of electronic percussion instrument as described in claim 1, which is characterized in that the step S103 includes Following steps:
S301. windowing process frame by frame is carried out to the periodic signal f (t), obtains several signal frames;
S302. corresponding FFT spectrum is calculated frame by frame;
S303. False color mapping is carried out to all FFT spectrums, obtains the first signal spectrum figure of the periodic signal f (t).
5. a kind of working method of electronic percussion instrument as claimed in claim 4, which is characterized in that include the following:
In the step S301, the framing windowed function of Matlab system: hamming (N) is used, hanning (N), Blackman (N) and bartlett (N) carries out windowing process frame by frame to the periodic signal f (t), wherein N is frame length;
In the step S302, use the FFT function of Matlab system: fft (S) and plural number take conjugate function: conj (Z) meter Calculate corresponding FFT spectrum, wherein S is the frame signal after adding window, and Z is the calculated result of fft (S) function;
In the step S303, using the False color mapping function colormap (MAP) of Matlab system to all FFT frequencies Spectrum carries out False color mapping, wherein MAP is False color mapping vector.
6. a kind of working method of electronic percussion instrument as claimed in claim 5, which is characterized in that the step S303 it After further include following steps:
S304. use the spectrogram explicit function of Matlab system: imagese (t, f, C) shows the first signal spectrum figure, Wherein, t is time coordinate, and f is frequency coordinate, and C is the colored level value from amplitude spectrum after the mapping of pseudo- color.
7. a kind of working method of electronic percussion instrument as described in claim 1, which is characterized in that in the step S104 Include the following steps:
S401. the cycle T of the periodic signal f (t) is obtained using period point count;
S402. discrete sampling processing is carried out to the periodic signal f (t) using the cycle T, obtains corresponding dis-crete sample values Sequence f (Δ ti), (i=0,1 ..., N0);
S403. judgement reading is carried out to the discrete sampling value sequence f (Δ ti), clips less than one signal period from tail portion Part, obtain the data f ' (Δ t*i) containing the integer signal period, (i=0,1 ..., N0-1);
S404. simultaneous solution obtains the parameter of each secondary frequency point as follows, obtains the second signal frequency spectrum as made of limited sine-wave superimposed Figure:
In formula, CmA0、AmAnd BmThe fourier series expression formula of periodic function is corresponded to for the second signal spectrogram:
In parameter, m is harmonic wave Number.
8. a kind of working method of electronic percussion instrument as described in claim 1, which is characterized in that in the step S105 Include the following steps:
S501. peak value matching is carried out to each secondary sine wave in the second signal spectrogram according to interframe frequency matching criterior, Obtain matched sine wave parameter;
S502. interpolation processing is carried out to matched sine wave parameter;
S503. the sine wave parameter of interpolated processing and preset Helmholtz resonator scale are subjected to voice mapping, obtained Low-frequency sine electric signal of the frequency between 20-50Hz.
9. a kind of working method of electronic percussion instrument as claimed in claim 2, which is characterized in that the pressure sensor is Thin-film pressure sensor.
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