CN115560742B - Modulation method for improving 3dB bandwidth of fiber-optic gyroscope - Google Patents
Modulation method for improving 3dB bandwidth of fiber-optic gyroscope Download PDFInfo
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- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C19/00—Gyroscopes; Turn-sensitive devices using vibrating masses; Turn-sensitive devices without moving masses; Measuring angular rate using gyroscopic effects
- G01C19/58—Turn-sensitive devices without moving masses
- G01C19/64—Gyrometers using the Sagnac effect, i.e. rotation-induced shifts between counter-rotating electromagnetic beams
- G01C19/72—Gyrometers using the Sagnac effect, i.e. rotation-induced shifts between counter-rotating electromagnetic beams with counter-rotating light beams in a passive ring, e.g. fibre laser gyrometers
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C25/00—Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass
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Abstract
The invention relates to the field of fiber optic gyroscope modulation, and provides a modulation method for improving the 3dB bandwidth of a fiber optic gyroscope. The modulation method comprises the following steps of S10, determining a transfer function of a forward channel of the fiber optic gyroscope; s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, and incorporating the digital truncation digits into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope to obtain a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope; s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20; and S40, equating the dynamic characteristic of the fiber-optic gyroscope to be 3dB bandwidth of the fiber-optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber-optic gyroscope, and determining a modulation factor. The invention realizes the improvement of the 3dB bandwidth of the fiber-optic gyroscope by modulating the modulation factor, ensures the noise reduction effect of the fiber-optic gyroscope and improves the precision of the fiber-optic gyroscope.
Description
Technical Field
The invention relates to the technical field of fiber optic gyroscope modulation, in particular to a modulation method for improving the 3dB bandwidth of a fiber optic gyroscope.
Background
The high-precision fiber optic gyroscope usually adopts a long fiber loop with a large diameter, so that the random angular wandering of the fiber optic gyroscope is reduced, and the noise resolution sensitivity of the gyroscope is improved. However, the fiber optic gyroscope is limited by the winding process and the loss of the fiber length, the loop fiber length cannot be lengthened without limit, and the effective method in engineering is to adopt an overmodulation technology to suppress noise.
However, engineering practice shows that the overmodulation technique can have a significant effect on the noise reduction of the fiber optic gyroscope, but too deep modulation causes the bandwidth of the fiber optic gyroscope to be significantly reduced, resulting in degradation of the dynamic response characteristic of the fiber optic gyroscope.
Disclosure of Invention
The present invention has been made to solve at least one of the problems occurring in the related art. Therefore, the invention provides a modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, which realizes the simultaneous consideration of reducing the noise of the fiber-optic gyroscope and improving the bandwidth of the fiber-optic gyroscope, thereby improving the precision of the fiber-optic gyroscope.
The invention provides a modulation method for improving the 3dB bandwidth of a fiber-optic gyroscope, which comprises the following steps:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, bringing the digital truncation digit into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope, and obtaining a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber-optic gyroscope to be 3dB bandwidth of the fiber-optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber-optic gyroscope, and determining a modulation factor.
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S10, the expression of the transfer function of the forward channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
is the responsivity of the photodetector;
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S20, the expression of the Z transformation transfer function of the feedback channel of the fiber-optic gyroscope is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is a digital filtering truncation digit;
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S20, the expression of the Laplace transform transfer function of the feedback channel of the fiber-optic gyroscope is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is a constant function of the feedback path.
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S30, the expression of the transfer function of the closed-loop fiber-optic gyroscope loop is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is a constant value of angular frequency.
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S30, a calculation formula of an angular frequency constant value is as follows:
according to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, provided by the invention, in the step S40, the expression of the 3dB bandwidth of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
the total loop gain of the fiber optic gyroscope;
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in step S40, the modulation factors comprise the optical power of a fiber-optic gyroscope loop, the transimpedance, the reference voltage of the analog-to-digital converter, the digit of the analog-to-digital converter and the digital filtering truncation digit.
One or more technical solutions in the embodiments of the present invention have at least one of the following technical effects:
the invention provides a modulation method for improving the 3dB bandwidth of a fiber optic gyroscope, which comprises the following steps:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, bringing the digital truncation digit into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope, and obtaining a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
s40, the dynamic characteristic of the fiber optic gyroscope is equivalent to the 3dB bandwidth of the fiber optic gyroscope, an expression of the 3dB bandwidth of the fiber optic gyroscope is obtained, a modulation factor is determined, a Z conversion transfer function of a feedback channel of the fiber optic gyroscope is obtained through Z conversion function calculation, the digital truncation digit is brought into the Z conversion transfer function, a Laplace conversion transfer function of the feedback channel of the fiber optic gyroscope is obtained, a transfer function of a closed loop fiber optic gyroscope loop is further obtained, the dynamic characteristic of the fiber optic gyroscope is equivalent to the 3dB bandwidth of the fiber optic gyroscope, the expression of the 3dB bandwidth of the fiber optic gyroscope is obtained, the modulation factor is determined, modulation of the modulation factor is further improved to the 3dB bandwidth of the fiber optic gyroscope, meanwhile, the noise reduction effect of the fiber optic gyroscope is guaranteed, and the precision of the fiber optic gyroscope is improved.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
In order to more clearly illustrate the technical solutions of the present invention or the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a block diagram of a flow chart of a modulation method for improving a 3dB bandwidth of a fiber optic gyroscope according to the present invention;
FIG. 2 is a transfer function model of a closed-loop fiber optic gyroscope in the modulation method for improving the 3dB bandwidth of the fiber optic gyroscope provided by the invention;
FIG. 3 is a schematic diagram of a relationship curve between a closed-loop fiber optic gyroscope loop bandwidth and bias point optical power in the modulation method for improving the 3dB bandwidth of the fiber optic gyroscope provided by the invention;
FIG. 4 is a schematic diagram of an electronic device provided by the present invention;
reference numerals are as follows:
810. a processor; 820. a communication interface; 830. a memory; 840. a communication bus.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. The following examples are intended to illustrate the invention but are not intended to limit the scope of the invention.
In the description of the embodiments of the present invention, it should be noted that the terms "central", "longitudinal", "lateral", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc. indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the embodiments of the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the embodiments of the present invention, it should be noted that the terms "connected" and "connected" are to be interpreted broadly, and may be, for example, a fixed connection, a detachable connection, or an integral connection, unless explicitly stated or limited otherwise; can be mechanically or electrically connected; may be directly connected or indirectly connected through an intermediate. Specific meanings of the above terms in the embodiments of the present invention can be understood in specific cases by those of ordinary skill in the art.
In embodiments of the invention, unless expressly stated or limited otherwise, the first feature "on" or "under" the second feature may be directly contacting the first and second features or indirectly contacting the first and second features through intervening media. Also, a first feature "on," "over," and "above" a second feature may be directly or diagonally above the second feature, or may simply indicate that the first feature is at a higher level than the second feature. A first feature "under," "beneath," and "under" a second feature may be directly under or obliquely under the second feature, or may simply mean that the first feature is at a lesser elevation than the second feature.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of an embodiment of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, various embodiments or examples and features of different embodiments or examples described in this specification can be combined and combined by one skilled in the art without contradiction.
The following describes a modulation method for improving the 3dB bandwidth of a fiber optic gyroscope according to the present invention with reference to fig. 1 to 2, including the following steps:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, and incorporating the digital truncation digits into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope to obtain a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber-optic gyroscope to be 3dB bandwidth of the fiber-optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber-optic gyroscope, and determining a modulation factor.
It should be noted that, the fiber optic gyroscope usually adopts a long fiber loop with a large diameter, so as to reduce the random angular wandering of the fiber optic gyroscope and improve the noise resolution sensitivity of the fiber optic gyroscope. Because the fiber length of the optical fiber ring can not be lengthened without limit due to the limitation of the winding process and the loss of the fiber length, the effective method of the optical fiber gyroscope in engineering is to adopt an overmodulation technology to suppress noise. Theoretically, the light power received by the detector is set as
With a phase difference of
The bias modulation phase is
Then the expression of the interference intensity is:
according to the above formula, when
Time, signal-to-noise ratio of gyroscope (
) To the maximum is
At a signal-to-noise ratio level of time
And (4) doubling. Of course, in practice, thermal noise is also present due to the detectorAcoustic and amplifier noise, the operating point cannot be very close
But can be designed according to the actual fiber-optic gyroscope
To select a bias operating point, referred to as an overmodulation technique, close to
The phase is called depth modulation.
The angular random walk coefficient is usually positively correlated with the modulation phase depth because the angular random walk
Wherein, in the step (A),
is the wavelength, c is the vacuum light velocity, L is the fiber length, D is the fiber loop diameter, R D For detector responsivity, I 0 And receiving optical power for the detector.
The bandwidth characteristics of a fiber optic gyroscope are reflected by the closed loop transfer function of the fiber optic gyroscope, see fig. 2, where R(s) represents the input angular rate; c(s) represents the output angular rate; g(s) represents the transfer function of the forward path; h(s) represents a transfer function of the feedback channel; transfer function of closed-loop fiber-optic gyroscope loop
Comprises the following steps:
according to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S10, the expression of the transfer function of the forward channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
is the responsivity of the photodetector;
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S20, the expression of the Z transformation transfer function of the feedback channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
the digital filtering truncation bit plays a role in low-pass filtering, and the signal-to-noise ratio of the feedback signal is improved;
According to the modulation method for improving the 3dB bandwidth of the fiber optic gyroscope provided by the invention, in step S20, the Z transformation transfer function of the feedback channel of the fiber optic gyroscope is subjected to the Laplace transformation, that is, the transfer function of the feedback channel is processed through the Laplace transformation function, so that the Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope is obtained, and the expression is as follows:
wherein the content of the first and second substances,
is a constant function of the feedback channel with the unit of
Or
。
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S30, the expression of the transfer function of the closed-loop fiber-optic gyroscope loop is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is a constant value of angular frequency.
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in the step S30, the calculation formula of the angular frequency constant value is as follows:
according to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, provided by the invention, in the step S40, the expression of the 3dB bandwidth of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
the total loop gain of the fiber optic gyroscope;
it should be noted that, in the above formula, for the optical fiber loop with a determined fiber length in the optical fiber gyroscope, for a frequency doubling modulation mode, the intrinsic modulation frequency of the optical fiber gyroscope may be regarded as a constant, so that it is an effective way to improve the 3dB frequency bandwidth to increase the total loop gain of the optical fiber gyroscope.
According to the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope, in step S40, the modulation factors comprise the optical power of a fiber-optic gyroscope loop, the transimpedance, the reference voltage of an analog-to-digital converter, the digit of the analog-to-digital converter and the digital filtering truncation digit.
It should be noted that, the number of bits of the analog-to-digital converter actually adopted in engineering is usually 12 bits to 14 bits, which is difficult to be greatly improved depending on the capability of hardware; in addition, limited to hardware voltage reference chips, the reference voltage of the adc is usually about 2V, which is difficult to be significantly increased by several times. The magnitude of the receiving optical power of the detector generally depends on optical path loss and actual incident light source power, even if the light source power is not greatly increased, the method of increasing the transimpedance is a method of effectively increasing the receiving optical power of the detector (that is, the optical power of the fiber-optic gyroscope loop), and it is certainly considered that the supersaturation of the detector is caused by the excessively high intensity of the light source power, and a joint design combining the modulation depth and the saturated optical power of the detector is required.
It is worth mentioning that the invention discloses for the first time that properly reducing the digital filtering truncation digit can effectively improve the 3dB bandwidth of the fiber-optic gyroscope, and can improve the bandwidth by times.
The first embodiment, the second embodiment and the third embodiment of the present invention are explained with reference to fig. 3.
Example one
This embodiment presents a fiber optic gyroscope with a fiber length L =1500 m, wherein,
，
，
，
，
，
and obtaining the bandwidth of the closed loop fiber-optic gyroscope loop
And bias point optical power
Is measured in the graph (c). To obtain, bias point optical power
When, for
3dB bandwidth of modulation, closed loop fiber optic gyroscope loop
About 400Hz, when the receiving light power of the detector is increased to 35
At a modulation depth of
When the bandwidth of 3dB is at the same level, the optical power of a bias point is improved, and the bandwidth of a closed-loop fiber-optic gyroscope loop is increased
And correspondingly increased.
Example two
This embodiment gives a fiber optic gyro with a fiber length L =1500 m, wherein,
，
，
，
，
，
and obtaining the bandwidth of the closed loop fiber-optic gyroscope loop
And bias point optical power
The relationship of (1). Deriving, bias point optical power
When, for
3dB bandwidth of modulation, closed loop fiber optic gyroscope loop
About 400Hz.
Reducing the number of digital filter cutoff bits when
When the temperature of the water is higher than the set temperature,
while to
3dB bandwidth of modulation, closed loop fiber optic gyroscope loop
About 800Hz.
EXAMPLE III
In this embodiment, the 3dB bandwidth of the fiber-optic gyroscope is equal to that of the fiber-optic gyroscope
The bit position is selected and designed in a programmable way, and a fiber-optic gyroscope with the fiber length L =1500 m is set, wherein,
，
，
，
，
，
when the utility model is used, the water is discharged,
when, for
3dB bandwidth of modulation, closed loop fiber optic gyroscope loop
About 400Hz. The trans-impedance is raised by one time,
when the utility model is used, the water is discharged,
when, for
3dB bandwidth of modulation, closed loop fiber optic gyroscope loop
About 800Hz.
It should be noted that, in addition to increasing the total loop gain of the fiber optic gyroscope, the method of increasing the 3dB bandwidth may also be used to increase the loop feedback frequency, and is particularly suitable for a fiber optic gyroscope with a longer fiber length, and the eigen frequency of the fiber optic gyroscope is usually lower.
Fig. 4 illustrates a physical structure diagram of an electronic device, which may include, as shown in fig. 4: a processor (processor) 810, a communication Interface 820, a memory 830 and a communication bus 840, wherein the processor 810, the communication Interface 820 and the memory 830 communicate with each other via the communication bus 840. Processor 810 may invoke logic instructions in memory 830 to perform a modulation method that improves the 3dB bandwidth of a fiber optic gyroscope, the method comprising the steps of:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, bringing the digital truncation digit into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope, and obtaining a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber optic gyroscope to be 3dB bandwidth of the fiber optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber optic gyroscope, and determining a modulation factor.
In addition, the logic instructions in the memory 830 may be implemented in software functional units and stored in a computer readable storage medium when the logic instructions are sold or used as independent products. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk, or an optical disk, and various media capable of storing program codes.
In another aspect, the present invention also provides a computer program product comprising a computer program stored on a non-transitory computer readable storage medium, the computer program comprising program instructions, which when executed by a computer, enable the computer to execute the modulation method for improving the 3dB bandwidth of a fiber optic gyroscope provided by the above methods, the method comprising the steps of:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, bringing the digital truncation digit into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope, and obtaining a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber-optic gyroscope to be 3dB bandwidth of the fiber-optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber-optic gyroscope, and determining a modulation factor.
In still another aspect, the present invention also provides a non-transitory computer readable storage medium, on which a computer program is stored, the computer program being implemented by a processor to execute the above-provided modulation method for improving the 3dB bandwidth of a fiber optic gyroscope, the method comprising the steps of:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, and incorporating the digital truncation digits into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope to obtain a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber-optic gyroscope to be 3dB bandwidth of the fiber-optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber-optic gyroscope, and determining a modulation factor.
The above-described embodiments of the apparatus are merely illustrative, and the units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. One of ordinary skill in the art can understand and implement it without inventive effort.
Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware. Based on the understanding, the above technical solutions substantially or otherwise contributing to the prior art may be embodied in the form of a software product, which may be stored in a computer-readable storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method according to the various embodiments or some parts of the embodiments.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (7)
1. A modulation method for improving 3dB bandwidth of a fiber optic gyroscope is characterized by comprising the following steps:
s10, determining a transfer function of a forward channel of the fiber-optic gyroscope;
s20, determining a Z transformation transfer function of a feedback channel of the fiber optic gyroscope, bringing the digital truncation digit into the Z transformation transfer function of the feedback channel of the fiber optic gyroscope, and obtaining a Laplace transformation transfer function of the feedback channel of the fiber optic gyroscope;
s30, determining a transfer function of the closed-loop fiber-optic gyroscope loop according to the step S10 and the step S20;
and S40, equating the dynamic characteristic of the fiber optic gyroscope to be 3dB bandwidth of the fiber optic gyroscope, obtaining an expression of the 3dB bandwidth of the fiber optic gyroscope, and determining a modulation factor, wherein the modulation factor comprises the optical power, the transimpedance, the reference voltage of an analog-to-digital converter, the digit of the analog-to-digital converter and the digital filtering truncation digit of the fiber optic gyroscope.
2. The modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 1, wherein in step S10, the expression of the transfer function of the forward channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
is the responsivity of the photodetector;
3. The modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 2, wherein in the step S20, the expression of the Z transformation transfer function of the feedback channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
truncating the digits for digital filtering;
4. The modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 3, wherein in the step S20, the expression of the Laplace transform transfer function of the feedback channel of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
is a constant function of the feedback path.
5. The modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 4, wherein in the step S30, the expression of the transfer function of the closed-loop fiber-optic gyroscope loop is as follows:
wherein, the first and the second end of the pipe are connected with each other,
is a constant value of angular frequency.
6. The modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 5, wherein in step S30, the constant angular frequency is calculated by the following formula:
7. the modulation method for improving the 3dB bandwidth of the fiber-optic gyroscope according to claim 6, wherein in the step S40, the expression of the 3dB bandwidth of the fiber-optic gyroscope is as follows:
wherein the content of the first and second substances,
the total loop gain of the fiber optic gyroscope;
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