CN100391127C - Vehicle mounted communication apparatus and traffic information processing method using the same - Google Patents

Vehicle mounted communication apparatus and traffic information processing method using the same Download PDF

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CN100391127C
CN100391127C CNB021124795A CN02112479A CN100391127C CN 100391127 C CN100391127 C CN 100391127C CN B021124795 A CNB021124795 A CN B021124795A CN 02112479 A CN02112479 A CN 02112479A CN 100391127 C CN100391127 C CN 100391127C
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姚奇
江伟庆
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SHANGHAI FLEETY COMMUNICATIONS CO Ltd
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Abstract

The present invention discloses a vehicle communication apparatus and a processing method for traffic information by using the vehicle communication apparatus. The vehicle communication apparatus comprises a signal receiving device, a signal sending device, a central processing unit, a speed data interface, a directional sensor, a data storage unit and a data bus. The processing method for traffic information by using the vehicle communication apparatus comprises the steps: the vehicle communication apparatus receives latitude-longitude information which is processed to become vehicle position information; the directional sensor and the speed data interface send out data to the central processing unit; the central processing unit samples the data in equal times, then stores the collected data to a data storage unit, calculates time intervals of sending out the vehicle position information according to the data, sends the vehicle position information after judgment to a wireless network, and transmits the data to a dispatching and monitoring center at last. The present invention can overcome the defects of much telecommunication cost, and wireless resource consumption or poor accuracy of the vehicle position information existing in the prior art.

Description

Traffic information processing method using vehicle-mounted communication device
Technical Field
The present invention relates to a vehicle-mounted communication device and a traffic information processing method using the same, and more particularly, to a method for dynamically adjusting a vehicle position information transmission time interval by determining the position information transmission time interval by analyzing a change in a vehicle driving state, and a vehicle-mounted communication device therefor.
Background
The existing vehicle-mounted communication equipment and the traffic information control technology thereof are that the vehicle-mounted communication equipment consists of a global satellite positioning system receiving device, a signal sending device, a central processing unit, a data storage unit and a data transmission bus, and a vehicle continuously sends own geographical position information to a vehicle dispatching monitoring system center in the driving process, thereby realizing dispatching, monitoring and tracking; however, in order to perform real-time scheduling, monitoring and tracking, the vehicle must continuously report the latest position information to the scheduling and monitoring center, and if the vehicle transmits the position information to the scheduling center at equal time intervals, the following problems are encountered: firstly, if the time interval is too small, the sending frequency of the parking space information is high, although the dispatching center can obtain the accurate vehicle position, the communication cost is increased due to the fact that a large number of vehicles send information frequently, and communication blockage can be caused due to the fact that wireless network resources are consumed greatly; secondly, if the time interval is large, the sending frequency of the parking space information is low, but the dispatching center cannot accurately obtain the position of the vehicle in time, so that the deviation in dispatching monitoring is caused.
Disclosure of Invention
The technical problem to be solved by the invention is to adopt a vehicle-mounted communication device and a traffic information processing method using the same to overcome the defects of increased communication cost, wireless resource consumption or poor parking space information accuracy in the prior art.
The technical scheme of the invention is as follows:
a vehicle-mounted communication device comprises a signal receiving device, a signal sending device, a central processing unit, a speed data interface, a data storage unit and a data bus; the central processing unit is respectively connected with the signal receiving device, the signal transmitting device, the data storage unit and the speed data interface through data buses, and can complete the following operations:
generating a clock sampling signal with a certain frequency;
setting a timer and initializing the timer;
converting the longitude and latitude information of the vehicle acquired from the signal receiving device into vehicle position information;
performing isochronous sampling on data sent by a speed data interface, and storing the acquired data into a data storage unit;
after the data storage amount reaches the set sampling times N, acquiring data from the data storage unit to calculate the time interval for sending the vehicle position information;
and calculating to obtain a time interval for sending the vehicle position information, and if the time interval is smaller than the time interval calculated last time and smaller than the current time value recorded by the timer, sending an instruction to the signal sending device, sending the vehicle position information by the signal sending device, and clearing the recorded time value of the timer.
The vehicle-mounted communication equipment also comprises a direction sensor which is connected with the central processing unit through a data bus, the central processing unit can perform isochronous sampling on data sent by the direction sensor, store the acquired data into a data storage unit, and can acquire the data from the data storage unit to calculate the time interval for sending the vehicle position information; the signal receiving device consists of a signal receiving antenna and a signal receiving module; the signal transmitting device consists of a signal transmitting antenna and a signal transmitting module.
A traffic information control method using the vehicle-mounted communication device comprises the following steps,
the vehicle-mounted communication equipment receives the longitude and latitude information and obtains vehicle position information after processing; the direction sensor and the speed data interface send data to the central processing unit, and the central processing unit stores the collected data into the data storage unit after sampling at equal time; when the total amount of data stored in the data storage unit reaches a preset sampling frequency N, wherein N is more than or equal to 2 and less than or equal to 100, the central processing unit calculates the mean value of the speed and angular velocity samples after acquiring the data, then calculates the variation of the mean value of the speed and angular velocity samples, then obtains the time interval for sending the vehicle position information, judges that if the time interval is smaller than the time interval calculated at the previous time and smaller than the current time value recorded by the timer, then sends the time interval to a wireless network, then transmits the data to a dispatching monitoring center, and the dispatching monitoring center collects the information sent by the vehicle and processes the information to obtain the road traffic condition.
The formula for calculating the mean value of the velocity and angular velocity samples is
<math><mrow> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>V</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>V</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math>
<math><mrow> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>&Phi;</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>&Phi;</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math>
Wherein, VnIndicating the nth mean speed, phi, to be determinednRepresenting the n-th angular velocity mean value to be obtained; n is a positive integer which is more than or equal to 2 and less than or equal to 100 and represents the number of V or phi sample values participating in calculation each time; p is a percentage representing the proportion of the nearest V or phi sample in the total of N samples.
ΔVn=Vn-Vn-1
ΔΦn=Φnn-1
And the delta V and the delta phi are corresponding angular speed and speed mean value variation.
The formula for calculating the time interval for transmitting the vehicle position information is
ΔTn=K·F(ΔVn,ΔΦn)=K/(a·|ΔVn|+b·|ΔΦn|+c)
K is a constant greater than zero; a and b are amplification coefficients of delta V and delta phi and are used for adjusting the influence of the delta V and the delta phi on the delta T; c is used to avoid denominator being zero, a, b and c being positive numbers greater than zero.
According to the objective technical scheme, the position information sending time interval can be determined by analyzing the change of the vehicle running state, so that the accuracy of the vehicle position information is ensured, the communication cost is reduced, and the wireless resources are saved.
Drawings
FIG. 1 is a block diagram schematically illustrating the structure of a vehicle-mounted communication apparatus according to the present invention;
FIG. 2 is a flow chart illustrating the steps of a traffic control method using the on-board communication device according to the present invention;
fig. 3 is a schematic diagram of the operation of the vehicle-mounted communication device and the traffic control method using the same according to the present invention.
Detailed Description
Referring to fig. 1, the vehicle-mounted communication device of the present invention includes a signal receiving device, a signal transmitting device, a central processing unit, a speed data interface, a data storage unit, and a data bus; the central processing unit is respectively connected with a signal receiving device, a signal sending device, a data storage unit and a speed data interface through a data bus, and the signal receiving device consists of a signal receiving antenna and a signal receiving module; the signal transmitting device consists of a signal transmitting antenna and a signal transmitting module.
The central processing unit can complete the following operations:
generating a clock sampling signal with a certain frequency;
setting a timer and initializing the timer;
converting the longitude and latitude information of the vehicle acquired from the signal receiving device into vehicle position information;
performing isochronous sampling on data sent by a speed data interface, and storing the acquired data into a data storage unit;
after the data storage amount reaches the set sampling times N, acquiring data from the data storage unit to calculate the time interval for sending the vehicle position information;
and calculating to obtain a time interval for sending the vehicle position information, and if the time interval is smaller than the time interval calculated last time and smaller than the current time value recorded by the timer, sending an instruction to the signal sending device, sending the vehicle position information by the signal sending device, and clearing the recorded time value of the timer.
In order to improve the calculation accuracy of the time interval for transmitting the vehicle position information, the vehicle-mounted communication device may further include a direction sensor connected to the central processing unit through a data bus, and the central processing unit may perform isochronous sampling on data transmitted to the direction sensor and store the acquired data in the data storage unit, and may acquire the data from the data storage unit to calculate the time interval for transmitting the vehicle position information.
The model of the central processing unit is AT91M 40800; the model of the direction sensor is ENV-05F-03; the storage unit adopts a Random Access Memory (RAM) with the memory capacity of 256KB and comprises 4 chips; the signal receiving device adopts a GPS antenna and a GPS module, and the model is GSU-16; the signal transmitting device adopts a General Packet Radio Service (GPRS) module, the model is SIEMENS MC35, and adopts a GPRS antenna for transmission, the sampling frequency N can be set to be 100, and the sampling frequency is 1 Hz.
As shown in fig. 2 and 3, a traffic information control method using the above-mentioned vehicle-mounted communication apparatus includes the steps of,
the vehicle-mounted communication equipment receives the longitude and latitude information and obtains vehicle position information after processing; the direction sensor and the speed data interface send data to the central processing unit, and the central processing unit stores the collected data into the data storage unit after sampling at equal time; when the total amount of data stored in the data storage unit reaches a preset sampling frequency N, the central processing unit calculates the average value of the speed and angular velocity samples after acquiring the data, calculates the variation of the average value of the speed and angular velocity samples, and then obtains the time interval delta T for sending the vehicle position informationnJudging if the time interval is greater than the previously calculated time interval Delta Tn-1And if the time value is small and is smaller than the current time value T recorded by the timer, the time value is sent to a wireless network, the wireless network can be a general packet radio service network (GPRS), then the data is sent to a dispatching monitoring center through the Internet, and the dispatching monitoring center collects information sent by vehicles and processes the information to obtain road traffic conditions.
The method of calculating the time interval for sending the vehicle position information is based on two collected variable values: obtaining a reasonable time interval delta T by the linear velocity V, the angular velocity phi and some adjusting parameters; the vehicle speed V is provided to a speed data interface by a vehicle speed sensor of a vehicle, the angular speed phi is provided by a direction sensor of vehicle-mounted communication equipment, meanwhile, a central processing unit collects data streams of the direction sensor and the speed data interface, the data streams are stored into two FIFO (first in first out) queues of a data storage unit RAM through a data bus, the queue length is N, and when the queues are full, the delta V and the delta phi are calculated:
<math><mrow> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>V</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>V</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math> equation 1
<math><mrow> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>&Phi;</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>&Phi;</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math> Equation 2
Wherein the linear velocity V and the angular velocity phi involved in the calculation are discrete signals obtained by sampling, Vn(n > -0) represents the nth linear velocity mean value, Φn(n > ═ 0) indicates the needObtaining the nth angular velocity mean value; p is a percentage representing the proportion of the nearest V or phi sample in the total of N samples. Usually P is larger, and usually takes 50%, which means that the nearest neighboring samples have a large influence on the final result, and the influence of the rest of samples on the result can be considered as the same. By appropriate values of N and P, a set of V and phi can be obtained, which can reflect the overall vehicle speed change, and the change between adjacent samples is ignored. Then, average change values of speed and angular speed samples are obtained:
ΔVn=Vn-Vn-1equation 3
ΔΦn=Φnn-1Equation 4
The time interval Δ T for transmitting the vehicle position information is then calculatedn
According to practical situations, it is desirable to extend the transmission time interval of the vehicle position information when the driving state of the vehicle is unchanged, such as when the vehicle is driving at a constant speed or is stationary, i.e., Δ V, Δ Φ are small, because the position of the vehicle can be estimated according to the position, speed and time data at the last transmission. When the driving state of the vehicle changes, for example, acceleration, deceleration, or turning, i.e., Δ V and Δ Φ are large, the transmission time interval of the position information is shortened. It can be seen that there is an inverse relationship between Δ T and Δ V, Δ Φ, and an equation corresponding to the relationship and the practical situation is summarized as follows:
ΔTn=K·F(ΔVn,ΔΦn)=K/(a·|ΔVn|+b·|ΔΦn| c) equation 5
Wherein K is a constant greater than zero; a and b are amplification coefficients of delta V and delta phi (a is more than 0, b is more than 0) and are used for adjusting the influence of the delta V and the delta phi on the delta T; c (c > 0) is used to avoid denominator being zero. K. a, b and c can be set according to specific needs. When the vehicle runs at a constant speed, if the delta V and the delta phi are equal to 0, the delta T is equal to K/c, and the T is enabled to be equal tomaxGet the maximum time interval between two transmissions, indicating that the vehicle is a vehicleThe running state of the vehicle is not changed and every TmaxThe position information must also be transmitted once, T if a maximum transmission time interval of 30 seconds is desiredmax=K/c=30。
The Δ T calculated according to the above formula cannot be used to determine whether the vehicle position information needs to be transmitted, because the driving state of the vehicle is likely to change during the Δ T period, and the frequency of calculating Δ T is the same as the sampling frequency of the speed V and the angular speed Φ, so that several new Δ T values may be generated again during the Δ T period.
However, if the following conditions can be satisfied at the same time, namely:
1.ΔTn<ΔTn-1
2. the current recording time value T of the timer is more than delta Tn
ΔTn<ΔTn-1Indicating that the running state of the vehicle has changed more significantly than the running state at the time of the previous estimation Δ T (sampling time); t > Δ TnIndicating that the period from the current time to the last transmission time has exceeded Δ TnTherefore, the vehicle-mounted communication equipment does not need to wait, the vehicle-mounted communication equipment needs to immediately send the vehicle position information to the GPRS network, when the vehicle sends the position information, the current timing value T of the timer needs to be set to 0, and then the timing is restarted.
If the above two conditions are not satisfied at the same time, it indicates that there is a possibility that the running state of the vehicle has not changed more significantly, or that the time period from the present time to the time of the last transmission is too short, and therefore it is only necessary to update the set timer for a timing period Δ Tn
Note that the reason for this is that Δ Tn≤TmaxTherefore, T does not exceed T as can be seen from the two conditions that need to be satisfied for transmissionmaxIn extreme cases, for example, at a constant speed or in a stationary state, every TmaxThe vehicle-mounted communication equipment should transmit to the GPRS networkThe primary vehicle position information is transmitted to a dispatching monitoring center through the Internet, and finally the dispatching monitoring center collects and processes the information to obtain the road traffic condition.

Claims (4)

1. A traffic information processing method using a vehicle-mounted communication apparatus, characterized in that: it comprises the following steps of,
the vehicle-mounted communication equipment receives the longitude and latitude information and obtains vehicle position information after processing; the direction sensor and the speed data interface send data to the central processing unit, and the central processing unit stores the collected data into the data storage unit after sampling at equal time; when the total amount of data stored in the data storage unit reaches a preset sampling frequency N, wherein N is more than or equal to 2 and less than or equal to 100, the central processing unit calculates the mean value of the speed and angular velocity samples after acquiring the data, then calculates the variation of the mean value of the speed and angular velocity samples, then obtains the time interval for sending the vehicle position information, judges that if the time interval is smaller than the time interval calculated at the previous time and smaller than the current time value recorded by the timer, then sends the time interval to a wireless network, then transmits the data to a dispatching monitoring center, and the dispatching monitoring center collects the information sent by the vehicle and processes the information to obtain the road traffic condition.
2. The traffic information processing method using the vehicle-mounted communication apparatus according to claim 1, characterized in that: the formula for calculating the mean value of the velocity and angular velocity samples is
<math><mrow> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>V</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>V</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math>
<math><mrow> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <mi>P</mi> <mo>&CenterDot;</mo> <msub> <mi>&Phi;</mi> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </munderover> <msub> <mi>&Phi;</mi> <mi>i</mi> </msub> <mo>/</mo> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow></math>
Wherein,
Figure C021124790002C3
represents the nth speed average value to be obtained,
Figure C021124790002C4
representing the n-th angular velocity mean value to be obtained; n is a positive integer which is more than or equal to 2 and less than or equal to 100 and represents the number of the V or phi sample values participating in calculation each time; p is a percentage representing the proportion of the nearest neighbor V or Φ sample over the total of N samples.
3. The traffic information processing method using the vehicle-mounted communication apparatus according to claim 1, characterized in that: the formula for calculating the mean value variation of the speed and angular velocity samples is
<math><mrow> <mi>&Delta;</mi> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>-</mo> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mrow></math>
<math><mrow> <mi>&Delta;</mi> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>=</mo> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>-</mo> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mrow></math>
Figure C021124790003C3
Andand the change of the corresponding angular speed and the speed mean value.
4. The traffic information processing method using the vehicle-mounted communication apparatus according to claim 1, characterized in that: the formula for calculating the time interval for transmitting the vehicle position information is
<math><mrow> <mi>&Delta;</mi> <msub> <mi>T</mi> <mi>n</mi> </msub> <mo>=</mo> <mi>K</mi> <mo>&CenterDot;</mo> <mi>F</mi> <mrow> <mo>(</mo> <mi>&Delta;</mi> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>,</mo> <mi>&Delta;</mi> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mi>K</mi> <mo>/</mo> <mrow> <mo>(</mo> <mi>a</mi> <mo>&CenterDot;</mo> <mo>|</mo> <mi>&Delta;</mi> <msub> <mover> <mi>V</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>|</mo> <mo>+</mo> <mi>b</mi> <mo>&CenterDot;</mo> <mo>|</mo> <mi>&Delta;</mi> <msub> <mover> <mi>&Phi;</mi> <mo>&OverBar;</mo> </mover> <mi>n</mi> </msub> <mo>|</mo> <mo>+</mo> <mi>c</mi> <mo>)</mo> </mrow> </mrow></math>
K is a constant greater than zero; a and b are
Figure C021124790003C6
Figure C021124790003C7
For adjusting the amplification factor of
Figure C021124790003C8
Figure C021124790003C9
The effect on Δ T; c is used to avoid denominator being zero, a, b and c being positive numbers greater than zero.
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