CN121761856A - A modulation and demodulation system for maintaining the accuracy of fiber optic gyroscopes - Google Patents
A modulation and demodulation system for maintaining the accuracy of fiber optic gyroscopesInfo
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Abstract
The invention relates to a modulation and demodulation system for maintaining the precision of an optical fiber gyroscope, belongs to the technical field of optical fiber gyroscopes, and solves the problem of gyroscope precision reduction caused by optical power attenuation of the optical fiber gyroscope in the prior art. The system comprises a fiber-optic gyroscope optical subsystem, a signal processing and converting subsystem, a modulation and demodulation subsystem, a rate demodulation and additional interference demodulation subsystem and a digital modulation signal processing and generating device, wherein the fiber-optic gyroscope optical subsystem is used for outputting optical interference signals to the signal processing and converting subsystem in real time, receiving analog modulation signals output by the modulation and demodulation subsystem in real time, performing real-time phase modulation on the fiber-optic gyroscope, performing signal processing on the interference signals to generate digital interference signals, inputting the digital interference signals to the modulation and demodulation subsystem, performing rate demodulation and additional interference demodulation on the digital interference signals, and superposing the step wave signals obtained by the rate demodulation, normal modulation signals obtained by the additional interference demodulation and additional modulation signals to obtain digital modulation signals, and performing signal processing on the digital modulation signals to generate the analog modulation signals.
Description
Technical Field
The invention relates to the technical field of fiber-optic gyroscopes, in particular to a modulation and demodulation system for maintaining the precision of a fiber-optic gyroscope.
Background
The fiber optic gyroscope can be classified into a guidance level, a navigation level, a precision level and a reference level according to the precision level. The dynamic correlation performance of the guidance-level fiber optic gyroscope is more concerned in engineering application, while the precision performance of the navigation-level, precision-level, reference-level and other high-precision fiber optic gyroscopes is more important. At present, more technical means are available for improving the precision of the fiber optic gyroscope, such as adopting a fiber optic ring with larger surrounding area, matching design light path to inhibit noise, and the like. However, the photoelectric parameters determined by the technical means are not adjustable after the gyro production is completed. Therefore, after the fiber optic gyroscope is delivered to the system, the performance of the gyroscope is reduced along with the slow change of the photoelectric parameters of the gyroscope, especially the attenuation of optical power, so that the use of the system is affected. At present, a method for realizing the precision maintenance of the fiber-optic gyroscope by adjusting the photoelectric parameters of the gyroscope on line in real time is lacking.
The random walk coefficient RWC is an important index for measuring the precision performance of the fiber-optic gyroscope, and the larger the RWC is, the larger the corresponding white noise is, and the worse the precision of the gyroscope is. The most dominant noise in the fiber-optic gyroscope includes shot noise σ SI, relative intensity noise σ RINI, thermal noise σ hI, and front-end noise σ eI. The expression of the fiber-optic gyroscope RWC can be deduced from the calculation formulas of various noises:
in the above formula, lambda is the wavelength of light, c is the speed of light, L is the sensitive fiber length of the fiber ring, D is the average diameter of the fiber ring, q is the electronic power, eta is the coupling efficiency of the fiber ring, Let Δλ be the light source bandwidth, K b be the boltzmann constant, T be the thermodynamic temperature, R f be the detector transimpedance, σ V0 be the front discharge pressure noise, P 0 be the optical power, Φ 0 be the modulation depth. As can be seen from simulation calculation of the above formula, when each parameter is determined, there is an optimal modulation depth phi 0, so that the gyro RWC is minimum, i.e. the accuracy is optimal. In the long-term storage or use process of the fiber-optic gyroscope, the optical power is changed the most, and the optical power can be slowly reduced along with the aging of the light source, the creep of the glue for the light source and the like. Therefore, if the change condition of the optical power of the gyroscope can be monitored, and the modulation depth of the gyroscope can be adjusted in real time according to the change of the optical power, the precision of the optical fiber gyroscope can be kept at an optimal value under the current optical power, and the precision of the optical fiber gyroscope can be kept.
In summary, the research can only perform the design of the modulation and demodulation method without adding optical devices and electronic devices to realize the real-time adjustment of the modulation depth of the optical fiber gyro according to the change condition of the optical power of the optical fiber gyro, which has important significance for maintaining the precision of the optical fiber gyro, and is also beneficial to the long-term reliability of the high-precision optical fiber gyro in the system application.
Disclosure of Invention
In view of the above analysis, the embodiment of the invention aims to provide a modem system for maintaining the precision of an optical fiber gyro, which is used for solving the problem of gyro precision reduction caused by optical power attenuation of the optical fiber gyro in the prior art.
The invention discloses a modem system for realizing the precision maintenance of an optical fiber gyro, which comprises:
The optical fiber gyro optical subsystem is used for outputting optical interference signals to the signal processing and converting subsystem in real time, and is also used for receiving analog modulation signals output by the modulation and demodulation subsystem in real time and carrying out real-time phase modulation on the optical fiber gyro;
The signal processing and converting subsystem is used for carrying out signal processing on the interference signals, generating digital interference signals and inputting the digital interference signals into the modulation and demodulation subsystem;
The modulation and demodulation subsystem is used for carrying out rate demodulation and additional interference demodulation according to the digital interference signals, carrying out superposition on the rate demodulation to obtain a step wave signal, the normal modulation signal obtained by the additional interference demodulation and the additional modulation signal to obtain a digital modulation signal, and carrying out signal processing on the digital modulation signal to generate the analog modulation signal.
Based on the scheme, the invention also makes the following improvements:
Further, the modulation and demodulation subsystem includes:
the demodulation information classification module is used for decomposing the digital interference signal into a to-be-demodulated speed signal and a to-be-demodulated optical power signal;
the optical power information demodulation module is used for carrying out additional interference demodulation on the optical power signal to be demodulated to obtain the demodulation quantity of the optical power;
the modulation depth adjusting module is used for determining the optimal modulation depth corresponding to the current optical power according to the demodulation quantity of the optical power;
And the normal modulation signal generation module is used for generating a corresponding normal modulation signal according to the optimal modulation depth.
Further, the modulation and demodulation subsystem further includes:
And the additional modulation signal generation module is used for periodically outputting the additional modulation signal.
Further, the period of the additional modulation signal is 2Nτ, where τ is the transit time of the fiber-optic gyroscope and N is a positive integer, and the duration of the additional interference signal is 2τ during one period of the additional modulation signal.
Further, in the optical power information demodulation module, performing:
demodulating a digital signal amplitude C1 when an additional interference signal exists and a digital signal amplitude C2 when the additional interference signal does not exist from the optical power signal to be demodulated;
The step height Δc=c1-C2 is calculated according to the formula, and the step height Δc is taken as the demodulation amount of the optical power.
Further, the modulation and demodulation subsystem further includes:
and the modulation signal combination module is used for superposing the step wave signal, the normal modulation signal and the additional modulation signal to generate a digital modulation signal.
Further, the modulation and demodulation subsystem further includes:
the rate information demodulation module is used for performing rate demodulation on the rate signal to be demodulated and generating a closed loop feedback step signal corresponding to the rate information of the rate signal to be demodulated;
and the step wave signal generator is used for integrating the closed loop feedback step signal to generate a step wave signal.
Further, the modulation and demodulation subsystem further includes:
The digital-to-analog conversion and post-stage amplifying circuit is used for carrying out digital-to-analog conversion and signal amplification on the digital modulation signal to generate a corresponding analog modulation signal.
Further, the signal processing and converting subsystem is realized by adopting a front-stage amplifying and analog-to-digital converting circuit;
The pre-stage amplifying and analog-to-digital converting circuit is used for amplifying and analog-to-digital converting the interference signal to generate a digital interference signal.
Further, in the fiber-optic gyroscope optical subsystem, an optical interference signal is output by a photodetector, and an analog modulation signal is applied to an integrated optical modulator.
Compared with the prior art, the invention has at least one of the following beneficial effects:
The modem system for maintaining the precision of the fiber optic gyroscope has the following beneficial effects:
1. Remarkably improving precision stability of optical fiber gyroscope
The system can accurately separate the optical power related signals from the digital interference signals through the optical power information demodulation module in the modulation and demodulation subsystem, and calculates the demodulation amount of the optical power according to a specific formula. Based on this amount of demodulation, the modulation depth adjustment module may determine an optimal modulation depth corresponding to the current optical power. Then, the normal modulation signal generation module generates a corresponding normal modulation signal according to the optimal modulation depth. The series of operations enable the optical fiber gyroscope to adjust the modulation depth in time when the optical power changes, effectively avoid the problem of gyroscope precision reduction caused by optical power attenuation, thereby realizing online maintenance of gyroscope precision, ensuring that the precision of the optical fiber gyroscope is always maintained at a higher level in the long-term operation process, and being very important for the long-term stability of navigation level, precision level and reference level high-precision optical fiber gyroscopes.
2. Enhancing long-term reliability of fiber optic gyroscopes
Under the condition of not changing the original hardware configuration of the optical path structure, circuit hardware and the like of the fiber-optic gyroscope, the system realizes the real-time monitoring of the optical power change of the fiber-optic gyroscope and the on-line adjustment of the modulation depth only through the optimization of a software algorithm. The optimization mode driven by the software algorithm reduces the fault risk possibly introduced by hardware modification and reduces the complexity of the system. Meanwhile, the modulation depth can be dynamically adjusted according to the actual running state of the fiber optic gyroscope, so that the fiber optic gyroscope is always in an optimal working state, negative influence on the performance of the gyroscope due to uncertain factors such as optical power fluctuation is reduced, the service life of the fiber optic gyroscope is prolonged, the long-term reliability of the fiber optic gyroscope is improved, and the fiber optic gyroscope has important value for guaranteeing reliable running of the high-precision fiber optic gyroscope in complex environments and long-time tasks.
3. Improving adaptability and flexibility of fiber optic gyroscope
The additional modulation signal generation module in the system periodically outputs an additional modulation signal, and the period of the additional modulation signal and the duration of the additional interference signal can be flexibly set according to the transit time of the fiber-optic gyroscope. The adjustable additional modulation signal design ensures that the fiber optic gyroscope can better adapt to different working environments and task demands, and enhances the adaptability of the fiber optic gyroscope in various application scenes. In addition, the whole modulation and demodulation process is realized based on a software algorithm, so that parameter adjustment and optimization are conveniently carried out according to actual requirements, the flexibility of the fiber-optic gyroscope is further improved, and the fiber-optic gyroscope can rapidly respond to different precision requirements and working condition changes.
4. Simplifying the implementation process of maintaining the precision of the fiber-optic gyroscope
Compared with the traditional method for realizing precision maintenance by carrying out large-scale reconstruction on hardware such as optical fiber gyroscope optical paths and circuits, the system only depends on the optimization of software algorithm, and the hardware states such as the gyroscope optical paths and the circuits are not required to be changed. This greatly simplifies the implementation process of precision maintenance, and reduces the implementation cost and difficulty. Meanwhile, a front-stage amplifying and analog-digital converting circuit is adopted to realize a signal processing and converting subsystem, and a digital-analog converting and rear-stage amplifying circuit is adopted to realize the conversion from a digital modulation signal in a modulation and demodulation subsystem to an analog modulation signal, and the application of the mature technical circuit modules further ensures the stability and reliability of the system, so that the invention is easy to popularize and apply in the existing fiber-optic gyroscope system and provides powerful support for the popularization of the fiber-optic gyroscope precision maintaining technology.
In the invention, the technical schemes can be mutually combined to realize more preferable combination schemes. Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention may be realized and attained by the structure particularly pointed out in the written description and drawings.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the invention, like reference numerals being used to designate like parts throughout the drawings;
FIG. 1 is a schematic diagram of a modem system for maintaining accuracy of an optical fiber gyro according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a step wave modulation signal, a normal modulation signal and an additional modulation signal according to an embodiment of the present invention;
Fig. 3 is a schematic diagram of an optical power signal to be demodulated according to an embodiment of the present invention;
The reference sign is 1-fiber optic gyro optical subsystem, 2-front stage amplifying and analog-to-digital converting circuit, 3-demodulation information classifying module, 4-rate information demodulating module, 5-ladder wave signal generator, 6-optical power information demodulating module, 7-modulation depth adjusting module, 8-normal modulation signal generating module, 9-additional modulation signal generating module, 10-modulation signal combining module and 11-digital-to-analog converting and rear stage amplifying circuit.
Detailed Description
The following detailed description of preferred embodiments of the application is made in connection with the accompanying drawings, which form a part hereof, and together with the description of the embodiments of the application, are used to explain the principles of the application and are not intended to limit the scope of the application.
In one embodiment of the present invention, a modem system for maintaining precision of a fiber optic gyroscope is disclosed, and a schematic structural diagram of the modem system is shown in fig. 1. The modulation and demodulation system comprises a fiber-optic gyroscope optical subsystem, a signal processing and converting subsystem and a modulation and demodulation subsystem. The following describes each subsystem in detail.
(1) Optical fiber gyro optical subsystem
The optical fiber gyro optical subsystem is used for outputting optical interference signals to the signal processing and converting subsystem in real time, and is also used for receiving analog modulation signals output by the modulation and demodulation subsystem in real time and carrying out real-time phase modulation on the optical fiber gyro.
In this embodiment, the fiber-optic gyro optical subsystem is composed of a light source, a coupler, a fiber-optic ring, an integrated optical modulator and a photodetector, and can realize the Sagnac effect of the fiber-optic gyro.
In particular operation, the light source produces a stable optical signal that is the basis for subsequent interference and modulation. The coupler splits the optical signal into two beams that propagate in the clockwise and counterclockwise directions of the fiber optic ring, respectively. When the optical fiber ring rotates, the two light signals generate optical path difference due to rotation, so that a Sagnac phase difference is formed, and the Sagnac phase difference is a core representation of the Sagnac effect. The integrated optical modulator carries out real-time phase modulation on the two light signals according to the received analog modulation signals, and the modulation signals are overlapped with Sagnac phase differences so as to facilitate subsequent signal processing. The two modulated optical signals interfere at the coupler, and the intensity change of the interference signals reflects the combined effect of the Sagnac phase difference and the modulation phase. The photodetector converts the interference light signal into an electrical signal, and outputs an optical power signal (i.e., an interference signal) related to the interference intensity, which contains information of the Sagnac effect, for subsequent demodulation and calculation of the rotational angular velocity. From the above, the optical interference signal is output from the photodetector, and the analog modulation signal is applied to the integrated optical modulator.
(2) Signal processing and conversion subsystem
And the signal processing and converting subsystem is used for performing signal processing on the interference signals, generating digital interference signals and inputting the digital interference signals into the modulation and demodulation subsystem.
Specifically, in the present embodiment, the signal processing and converting subsystem may be implemented by using the pre-amplifying and analog-to-digital converting circuit 2.
The pre-amplifying and analog-to-digital converting circuit 2 is used for amplifying and analog-to-digital converting the optical interference signal (i.e. the electric signal converted by the photoelectric detector) to generate a digital interference signal, and inputting the digital interference signal into the demodulation information classifying module in the modulation and demodulation subsystem.
(3) Modulation and demodulation subsystem
The modulation and demodulation subsystem is used for carrying out rate demodulation and additional interference demodulation according to the digital interference signals, carrying out superposition on the rate demodulation to obtain a step wave signal, the normal modulation signal obtained by the additional interference demodulation and the additional modulation signal to obtain a digital modulation signal, and carrying out signal processing on the digital modulation signal to generate the analog modulation signal.
The modulation and demodulation subsystem comprises a demodulation information classification module 3, a rate information demodulation module 4, a step wave signal generator 5, an optical power information demodulation module 6, a modulation depth adjustment module 7, a normal modulation signal generation module 8, an additional modulation signal generation module 9, a modulation signal combination module 10 and a digital-to-analog conversion and post-amplification circuit 11. The functions of the respective components are specifically described below.
1) Demodulation information classification module 3
The demodulation information classification module 3 is configured to decompose the digital interference signal into a rate signal to be demodulated and an optical power signal to be demodulated, and input the rate signal to be demodulated and the optical power signal to be demodulated into the rate information demodulation module 4 and the optical power information demodulation module 6 respectively.
In the specific implementation process, the demodulation information classification module 3 can decompose the digital interference signal according to a preset control time sequence.
2) Rate information demodulation module 4
The rate information demodulation module 4 is used for performing rate demodulation on the rate signal to be demodulated, generating a closed-loop feedback step signal corresponding to the rate information of the rate signal to be demodulated, and inputting the closed-loop feedback step signal into the step wave signal generation module 5.
In the implementation process, the signal to be demodulated can be demodulated according to the demodulation time sequence.
3) Step wave signal generating module 5
The step wave signal generating module 5 is configured to integrate the closed loop feedback step signal to generate a step wave signal.
4) Optical power information demodulation module 6
The optical power information demodulation module 6 is used for carrying out additional interference demodulation on the optical power signal to be demodulated to obtain the demodulation quantity of the optical power, and inputting the demodulation quantity of the optical power into the modulation depth adjustment module 7.
Specifically, the optical power information demodulation module 6 demodulates the optical power signal to be demodulated, and performs demodulation of the digital signal amplitude C1 when the additional interference signal is present and the digital signal amplitude C2 when the additional interference signal is absent from the optical power signal to be demodulated, calculates the step height Δc=c1-C2 according to a formula, and uses the step height Δc as the demodulation amount of the optical power. The processing means will be further described herein with reference to fig. 2 and 3.
In the specific implementation process, the demodulation information classification module 3 extracts the optical power signal to be demodulated according to the application time sequence of the additional modulation signal, and sends the optical power signal to the optical power information demodulation module 6.
5) Modulation depth adjustment module 7
The modulation depth adjusting module 7 is configured to determine an optimal modulation depth corresponding to the current optical power according to the demodulation amount of the optical power, and input the optimal modulation depth into the normal modulation signal generating module 8.
In a specific implementation process, according to the relationship between the pre-established step height Δc (i.e. the demodulation amount of the optical power signal to be demodulated) and the optimal modulation depth (digital amount), the embodiment can obtain the optimal modulation depth corresponding to the current optical power, i.e. the optimal modulation depth corresponding to the modulation signal to be applied, according to the demodulation amount of the optical power signal to be demodulated, so that the precision of the fiber-optic gyroscope is optimal.
6) Normal modulation signal generation module 8
The normal modulation signal generation module 8 is configured to generate a corresponding normal modulation signal according to the optimal modulation depth.
In some embodiments, the gyro normal modulation mode generated by the normal modulation signal generation module 8 may be a four-state modulation mode, a square wave modulation mode or a hybrid modulation mode. And taking the optimal modulation depth as the modulation phase of the normal modulation signal, and generating a corresponding normal modulation signal according to the gyro normal modulation mode.
The normal modulation signal generation module 8 receives the optimal modulation depth output by the modulation depth adjustment module 7 and changes the current gyro modulation depth into the optimal modulation depth, so that modulation phase adjustment of the fiber-optic gyro is realized, and the accuracy of the gyro is optimized.
7) Additional modulation signal generating module 9
The additional modulation signal generation module 9 is configured to periodically output an additional modulation signal.
In this embodiment, the period of the additional modulation signal is 2nτ, where τ is the transit time of the fiber-optic gyroscope and N is a positive integer. Since the change in optical power is a very slow process, the value of N can be very large.
In one period of the additional modulation signal, the duration of the additional interference signal is 2τ, the amplitude of the additional interference signal in the first τ is pi/M, the amplitude of the additional interference signal in the second τ is-pi/M, and M is a positive integer.
8) Modulation signal combination module 10
The modulation signal combination module 10 is configured to superimpose the step wave signal, the normal modulation signal and the additional modulation signal, and generate a digital modulation signal.
In the specific implementation process, the step wave signal output by the step wave signal generating module 5, the normal modulation signal output by the normal modulation signal generating module 8 and the additional modulation signal generated by the additional modulation signal generating module 9 are synchronously overlapped in the modulation signal combining module 10 by taking the transition time tau as a period.
The modulation mode has the advantages that the modulation signals required by the normal operation of the fiber-optic gyroscope, namely the normal modulation signal and the step wave signal, are combined, and additional modulation signals for maintaining the precision can be considered. The modulation mode can not influence the normal operation of the fiber-optic gyroscope, and simultaneously generates the optical power to be demodulated brought by the additional modulation signal at the demodulation end, so as to realize the demodulation of the optical power.
The periodic additional modulation signal can enable the integrated optical modulator to generate periodic additional phase modulation, the modulation phase can act on the optical interference signal of the optical subsystem of the fiber-optic gyroscope, and the periodic additional step digital signal (namely, the optical power signal to be demodulated) is generated through the pre-amplifying and analog-digital conversion circuit 2.
9) Post-amplification and digital-to-analog conversion circuit 11
The post-amplification and digital-to-analog conversion circuit 11 is used for performing digital-to-analog conversion and signal amplification on the digital modulation signal to generate a corresponding analog modulation signal.
And inputting the analog modulation signal to an integrated optical modulator in the optical path subsystem of the fiber-optic gyroscope to realize the phase modulation of the fiber-optic gyroscope.
According to the embodiment, through the modulation and demodulation mode, the condition of the optical power change of the gyroscope is monitored in real time finally, the modulation depth of the gyroscope is adjusted on line according to the optical power change, the precision of the fiber-optic gyroscope is kept at the optimal value under the current optical power, and the precision of the fiber-optic gyroscope is kept.
In this embodiment, the generated digital modulation signal can realize rate information demodulation output and modulation phase feedback generation.
Fig. 2 is a schematic diagram of a step wave modulated signal, a normal modulated signal, and an additional modulated signal.
Fig. 3 is a schematic diagram of an optical power signal to be demodulated.
In this embodiment, the demodulation amount of the optical power is the step height Δc in fig. 3. The additional modulated signal carries a periodic additional interference signal (i.e. additional step digital information) with a step height deltac proportional to the current optical power amplitude. The digital signal amplitude is C1 when no additional interference signal exists, and C2 when the additional interference signal exists. Referring to fig. 3, B1 is partially a response signal generated due to the application of the additional modulation signal shown in fig. 2, the combination of B1 and a is an optical power signal to be demodulated, and the combination of B and a is a rate signal to be demodulated. When the additional modulation signal shown in fig. 2 is applied, the signals A1 and B1 in fig. 3 are necessarily generated, that is, the optical power signal to be demodulated is generated. In the demodulation process of the optical power information demodulation module 6, a method of corresponding subtraction of signals in two adjacent demodulation periods is adopted, the digital signal amplitude is C1 when no additional interference signal exists, the digital signal amplitude is C2 when the additional interference signal exists, and the step height delta C is obtained by subtracting the two signals.
Further, in the modulation depth adjustment module 7, the optimum modulation depth corresponding to the current optical power may be determined according to the demodulation amount of the optical power signal to be demodulated based on the relationship between the optimum modulation depth and the step height. In a specific implementation, the relationship between the optimal modulation depth and the step height can be constructed as follows.
First, a curve relationship between the optical power and the optimal modulation depth of the fiber-optic gyroscope is constructed.
And setting a plurality of modulation depths at fixed modulation depth intervals at each optical power point. For example, for a certain optical power point, the modulation depth is set to pi/2 in order. In the implementation process, the modulation depth interval corresponds to the resolution of the digital-to-analog converter, and, for example, if the digital-to-analog converter bit number is M, the minimum interval ΔΦ 0 of the modulation depth is determined by equation (2):
For each optical power point, calculating RWC corresponding to each modulation depth under the current optical power point (using the fiber optic gyro RWC calculation formula in formula (1)), and taking the modulation depth when RWC takes the minimum value as the optimal modulation depth corresponding to the current optical power point.
Fitting the relation between the optical power and the optimal modulation depth according to each optical power point and the corresponding optimal modulation depth, and establishing a curve relation between the optical power and the optimal modulation depth.
Illustratively, in this embodiment, a binary first-order equation is selected to fit the relationship between the two, and in the fitting process, a second-order fitting parameter a 0、a1、a2 is determined, so as to establish a second-order fitting curve relationship between the optical power and the optimal modulation depth, which is expressed as:
Φ0i＝a0+a1P0i+a2P0i 2 (3)
where P 0i denotes an optical power, Φ 0i denotes an optimal modulation depth corresponding to the current optical power.
According to the embodiment, the real-time adjustment of the optimal modulation depth can be realized by establishing the quadratic fit curve relationship between the optical power and the optimal modulation depth, so that the precision is kept.
And then, according to the curve relation between the optical power of the optical fiber gyroscope and the optimal modulation depth, the relation between the optimal modulation depth and the step height can be constructed. It should be noted that, since the step height is proportional to the amplitude of the optical power, the relationship between the optimal modulation depth and the step height is expressed as:
Φ0i＝b0+b1ΔCi+b2ΔCi 2 (4)
Wherein ΔC i represents the step height, b 0＝a0,b1＝a1/K,b2＝a2/K,K＝P0i/ΔCi.
It should be noted that the implementation of the functional algorithm in the foregoing embodiment may be hardware, software, or a combination thereof. When implemented in hardware, it may be, for example, an electronic circuit, an Application Specific Integrated Circuit (ASIC), or the like. When implemented in software, the elements of the invention are the programs or code segments used to perform the required tasks.
The present invention is not limited to the above-mentioned embodiments, and any changes or substitutions that can be easily understood by those skilled in the art within the technical scope of the present invention are intended to be included in the scope of the present invention.
Claims (10)
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