CN102525564B - Color Doppler ultrasound imaging module and method - Google Patents

Color Doppler ultrasound imaging module and method Download PDF

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CN102525564B
CN102525564B CN2012100017198A CN201210001719A CN102525564B CN 102525564 B CN102525564 B CN 102525564B CN 2012100017198 A CN2012100017198 A CN 2012100017198A CN 201210001719 A CN201210001719 A CN 201210001719A CN 102525564 B CN102525564 B CN 102525564B
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color doppler
image signal
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doppler image
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CN102525564A (en
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赵丹华
张勇
赵明昌
陆坚
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Wuxi Chison Medical Technologies Co Ltd
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XIANGSHENG MEDICAL IMAGE CO Ltd WUXI
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Abstract

The invention discloses a color Doppler ultrasound imaging module and method. The module comprises a wall filtering unit, an auto-correlation coefficient unit, a parameter acquisition unit, a color region selection unit, a decision-making and judging unit, a multi-loop buffer region unit, an image filtering unit, a self-adapting buffer region unit and an image processing unit, wherein the wall filtering unit, the auto-correlation coefficient unit, the parameter acquisition unit and the color region selection unit are connected in sequence; the color region selection unit is connected with the decision-making and judging unit and the multi-loop buffer region unit respectively; the output end of the multi-loop buffer region unit is connected with the input end of the decision-making and judging unit; the output end of the decision-making and judging unit is connected with the image filtering unit; the output end of the image filtering unit is connected with the self-adapting buffer region unit and the image processing unit respectively; and the output end of the self-adapting buffer region unit is connected with the wall filtering unit. The invention has the advantages that the color Doppler ultrasound imaging effect is improved and the implementation of color Doppler ultrasound imaging is easier.

Description

Color Doppler ultrasound imaging module and method
Technical field
The present invention relates to a kind of ultra sonic imaging module and method, especially a kind of color Doppler ultrasound imaging module and method.
Background technology
Color Doppler is to carry out Doppler signal with autocorrelation technique to process, and the average speed of blood stream that autocorrelation technique is obtained and variance, energy are superimposed upon on 2-D gray image in real time after coloud coding, namely form the Color Doppler Ultrasonic picture.
In color doppler image, represent with danger signal towards the blood flow of popping one's head in, the blood flow of probe represents with blue signal dorsad.Except above-mentioned information, color doppler image can also show the information such as character of speed and the reflection blood flow of blood flow rate.
Although Doppler technology plays an important role for patient's blood flow or the diagnosis of active organization, but still have the following disadvantages: at first, present diasonograph is under the color Doppler pattern, and it is display color blood flow imaging or the imaging of speed variance or energy imaging that the doctor decides current by the corresponding knob of manual selection or button; Secondly, in color Doppler shows, its shown velocity interval is determined by impulse wave repetition rate (PRF), and when checking beginning, the velocity interval of blood flow generally can't calculate to a nicety, set certain initial velocity interval and often by the doctor, by virtue of experience be worth, then must make it be in optimum state by the various parameter values of continuous adjusting in checking process.Do like this, on the one hand, the doctor is in whole checking process, and the manual work amount is larger, when the diagnosis number of patients is more, occur may occurring some pseudomorphism to the improper color Doppler that makes of instrument regulation in application process because anthropic factor is unavoidable, thereby be difficult to make correct diagnosis, on the other hand, need the number of parameters of manual adjustments many, more consuming time, reduced to a certain extent doctor's work efficiency.
For the problems referred to above, the parameter information that makes whole adjustment process obtain of need to further taking measures is both reliable, not exclusively depends on again manual adjustment, automatically parameter is optimized processing and can produces best image.
Summary of the invention
The objective of the invention is to overcome the deficiencies in the prior art, a kind of color Doppler ultrasound imaging module and method are provided, thereby can compare any ultra sonic imaging of the current output of decision by parameter information and the parameter current information that comprises in the color doppler image signal to storing in memory buffer, and can the Automatic Optimal parameter value, make it produce best image.
According to technical scheme provided by the invention, described color Doppler ultrasound imaging module comprises:
The wall filtering unit, be used for removing the clutter composition that the color doppler image signal exists;
The autocorrelation coefficient unit, for autocorrelation coefficient and the frequency deviation of calculating blood flow;
Parameter acquiring unit, process parameter, calculates at least a in average speed of blood stream, blood flow variance or blood flow energy;
The colored region selected cell, the threshold value that sets up on their own by the parameter value with current and user or default threshold value are compared and are determined whether current region is carried out coloud coding;
The decision-making decision unit, utilize judgment condition to be used for ultra sonic imaging to the parameter type of the current output of current color doppler image signal decision;
The multiloop buffer location, the parameter information that the storage color doppler image signal comprises;
The image filtering unit, be used for removing the noise information that the color doppler image signal comprises;
Unit, automatic adaptation cushion district,, for the parameter information of analyzing the color doppler image signal, automatically regulate and make it reach optimization and act on current ultrasonoscopy;
Graphics processing unit, be used for improving image color quality and color mapped;
Described wall filtering unit, autocorrelation coefficient unit, parameter acquiring unit and colored region selected cell are connected successively, described colored region selected cell connects respectively decision-making decision unit and multiloop buffer location, the outfan of described multiloop buffer location is connected with the input of decision-making decision unit, the outfan connection layout of decision-making decision unit is as filter unit, the outfan of described image filtering unit is connected with unit, automatic adaptation cushion district, graphics processing unit respectively, the outfan connecting wall filter unit of unit, described automatic adaptation cushion district.
Further, the parameter type in described color doppler image signal comprises at least a in average speed of blood stream, blood flow energy, blood flow variance.
Described decision-making decision unit, according to the parameter information of described multiloop buffer location storage and the parameter information of current color doppler image signal, utilizes judgment condition to compare, to determine that the parameter type that will export is used for ultra sonic imaging.
Described decision-making decision unit utilizes question blank to obtain suitable sampling rate and realizes the anti-aliasing of Doppler frequency deviation.
Described multiloop buffer location is stored all parameter values that comprise at least one color doppler image signal.
Described colored region selected cell judges by threshold value whether current region needs coloud coding, described threshold value comprises high-energy threshold value, the high-energy threshold value after compression before threshold speed, variance threshold values, low-yield threshold value, compression, preset and energy value, the user of non-filtered is adjustable and the energy value of non-filtered at least a.
after the color doppler image signal enters described decision-making decision unit and described multiloop buffer location, at first, described multiloop buffer location is stored all parameter informations in this color doppler image signal, wait for that new parameter information enters the velocity information that determines output color doppler image signal after described decision-making decision unit by judgment condition, in energy information or variance information wherein one or both, and this is processed result be transferred to described image filtering unit and further process, parameter information after Filtering Processing enters behind unit, described automatic adaptation cushion district automatically to regulate each parameter information and be transferred to described wall filtering unit and in time regulates parameter value and make parameter value be in optimum state.
Adopt the colour doppler flow imaging method of described color Doppler ultrasound imaging module, comprise the following steps:
To be divided into two-way from the I/Q data signal after the demodulator demodulation, a road is for generation of B mode image signal, and another road is for generation of the color doppler image signal;
Described two-way picture signal is carried out coloud coding and gray-coded and storage;
Finally described two-way picture signal is mixed into picture and sends into the display demonstration;
It is characterized in that: wherein described color doppler image signal is carried out coloud coding and comprise the following steps:
Described color doppler image signal is carried out wall filtering processing and autocorrelation coefficient calculating;
Color doppler image signal and the color doppler image signal of current reception of storage are adjudicated at least a for ultra sonic imaging in selection average speed of blood stream, blood flow variance or blood flow energy by judgment condition;
Process described color doppler image signal and its parameter value that comprises is carried out optimization automatically.
Described autocorrelation coefficient is
R(m)=∑x *(i)x(i+m).
Wherein, x (i) is through filtered data, and m is a real number, and * represents complex conjugate; When PRI was π, frequency deviation was:
df = ∠ R ( m ) 2 · π · m · τ ,
Wherein, ∠ R (m) is the phase place of R (m).
Described judgment condition is a kind of in all parameter values that comprise in the color doppler image signal.
Advantage of the present invention is: the invention provides a kind of colour doppler flow imaging device and method, on the one hand, several ultrasonoscopys are comprised the color doppler image signal to be analyzed to make the type of current output ultra sonic imaging is made more accurately judgement, on the other hand, can effectively overcome the triviality that the manual adjustments parameter is brought under traditional color Doppler pattern, operate easier.
Description of drawings
Fig. 1 is for using the ultrasonic meter system block diagram of color Doppler ultrasound imaging module of the present invention.
Fig. 2 is color Doppler ultrasound imaging module structured flowchart of the present invention.
The specific embodiment
Describe each related detailed problem in technical solution of the present invention in detail below in conjunction with drawings and Examples.
As shown in Figure 1, a kind of system of ultrasonic device comprises: control circuit 1, radiating circuit 2, transducer 3, receiving circuit 4, wave beam are synthetic 5, demodulator 6, b mode signal are processed ultra sonic imaging module 7, color Doppler ultrasound imaging module 8, display 9 and keyboard input 10.transducer 3 (also being probe) is hyperacoustic transmitter-receiver device, can convert electrical energy into acoustic energy, also acoustic energy can be converted to electric energy, at first radiating circuit 2 is under the coordination of control circuit 1, send the signal of telecommunication to transducer 3, being converted into ultrasonic emitting by transducer 3 goes out, receiving circuit 4 is responsible for receiving transducer 3 and is passed the echo signal (by transducer, being converted to the signal of telecommunication) of coming, and it is amplified, the processing such as digital to analog conversion, echo signal on the synthetic 5 pairs of different directions of wave beam carries out dynamic focusing and dynamic aperture is processed, it is synthesized together, then be transferred to demodulator 6 and carry out demodulation process, the I/Q data that then will produce are transferred to respectively b mode signal and process ultra sonic imaging module 7 and color Doppler ultrasound imaging module 8, one road signal is processed and is obtained the 2-D gray image signal through the B mode imaging, another road signal obtains the color doppler image signal through processing such as wall filterings, final above-mentioned picture signal is presented on display 9 after synthetic." I " of described I/Q data refers to phase component (In-phase component), and " Q " makes a comment or criticism and hand over component (quadrate component).
Keyboard input 10 is connected with control circuit 1, the outfan of control circuit 1 and radiating circuit 2, transducer 3 and receiving circuit 4, wave beam are synthetic 5, demodulator 6 is connected successively, and demodulator 6 is connected with display 9 with b mode signal processing ultra sonic imaging module 7 with after color Doppler ultrasound imaging module 8 is connected respectively again and said units all is connected with control circuit 1.
As shown in Figure 2, color Doppler ultrasound imaging module described in the present invention 8 also comprises: wall filtering unit, autocorrelation coefficient unit, parameter acquiring unit, colored region selected cell, decision-making decision unit, multiloop buffer location, image filtering unit, unit, automatic adaptation cushion district, graphics processing unit.Described wall filtering unit, be used for removing the clutter composition that the color doppler image signal exists; The autocorrelation coefficient unit, for autocorrelation coefficient and the frequency deviation of calculating blood flow; Parameter acquiring unit, process parameter, calculates at least a in average speed of blood stream, blood flow variance or blood flow energy; The colored region selected cell, the threshold value that sets up on their own by the parameter value with current and user or default threshold value are compared and are determined whether current region is carried out coloud coding; The decision-making decision unit, utilize judgment condition to be used for ultra sonic imaging to the parameter type of the current output of current color doppler image signal decision; The multiloop buffer location, the parameter information that the storage color doppler image signal comprises; The image filtering unit, be used for removing the noise information that the color doppler image signal comprises; Unit, automatic adaptation cushion district,, for the parameter information of analyzing the color doppler image signal, automatically regulate and make it reach optimization and act on current ultrasonoscopy; Graphics processing unit, be used for improving image color quality and color mapped.
described wall filtering unit and described autocorrelation coefficient unit, parameter acquiring unit and colored region selected cell are connected successively, described colored region selected cell is connected with decision-making decision unit and multiloop buffer location respectively, further, the outfan of described multiloop buffer location is connected with the input of decision-making decision unit, the outfan of decision-making decision unit is connected with the image filtering unit, the image filtering unit respectively with unit, automatic adaptation cushion district, graphics processing unit is connected, further, the outfan of unit, described automatic adaptation cushion district is connected with the wall filtering unit.
At first, to send into respectively b mode signal from the I/Q data after demodulator 6 demodulation and process ultra sonic imaging module 7 and color Doppler ultrasound imaging module 8, wherein a road signal is processed and is obtained 2-D gray image through the B mode imaging, another road signal is sent into described wall filtering unit, removed the clutter composition that exists in the color doppler image signal by the wall filtering unit, and by described autocorrelation coefficient unit, calculate autocorrelation coefficient:
R(m)=∑x *(i)x(i+m)
Wherein, x (i) is through filtered data, and m is a real number, and * represents complex conjugate.When PRI was π, frequency deviation was:
df = ∠ R ( m ) 2 · π · m · τ
Wherein, ∠ R (m) is the phase place of R (m).
Output rusults is transferred to described parameter acquiring unit processes, parameter acquiring unit can obtain the parameter informations such as blood flow rate, energy and it is processed, such as, the speed of blood flow, variance and energy can be calculated by following formula:
v = c · df 2 · f 0 · cos θ
S 2=var{v(r)}
P=R(0)
Wherein, f 0Be tranmitting frequency, c is the velocity of sound, and θ is the angle between ultrasound beamformer and blood flow direction, and R (0) is autocorrelation coefficient, and df is frequency deviation.
Processing described here comprises carries out smoothing processing with above-mentioned parameter information, further, in order to make parameter information more be fit to later processing and demonstration, include but are not limited to the blood flow variance carry out sqrt make its become standard deviation, to processing such as blood flow energy depth gain compensation, logarithmic compression.Obtain entering described colored region selected cell after the parameter information in the color doppler image signal, whether its major decision carries out coloud coding to current region, by the parameter value with current, with threshold value or predefined threshold value that the user sets up on their own, compares to realize its function.Threshold value described here includes but are not limited to high-energy threshold value, the high-energy threshold value after compression utilized before threshold speed, variance threshold values, low-yield threshold value, compression, preset and energy, the user of non-filtered is adjustable and the blood flow energy value of non-filtered in any one or a plurality of threshold value coloud coding is judged, it can be set up on their own by the user.
after including the color doppler image signal that enriches parameter information and entering described decision-making decision unit and described multiloop buffer location, at first, described multiloop buffer location is stored all parameter informations in this color doppler image signal, wait for that new parameter information enters the velocity information that determines output color doppler image signal after described decision-making decision unit by judgment condition, in energy information or variance information wherein one or both, and this is processed result be transferred to described image filtering unit and further process, described image filtering unit includes but are not limited to the deblurring wave filter, spatial filter etc.Each parameter information after Filtering Processing enters behind unit, described automatic adaptation cushion district automatically to regulate each parameter information and it is transferred to described wall filtering unit and in time regulates parameter value and make it be in optimum state.Finally, enter described graphics processing unit, it mainly completes functions such as improving image color quality and color mapped, if under phased array probe or linear array probe, when needs compensate different doppler angles and further improve frame rate, the user can also increase its corresponding functional module, and the color doppler image Signal Compression after processing finally is to above-mentioned 2-D gray image being shown doppler image with being transferred on described display 9 after the coloured image that obtains mixes after suitable size of data.
, in conjunction with the described function of unit in said apparatus figure, in order more clearly to describe the present invention, now provide an embodiment who the present invention relates to, do further detailed explanation.
Described decision-making decision unit is analyzed parameter value in current color doppler image signal, utilize judgment condition select output average speed of blood stream, blood flow variance or the one or more parameters in blood flow energy be used for imaging.The mode of selecting the ultra sonic imaging type can be that the respective keys on the user by selecting instrument is completed, for example, the user is current, and what select by button is " speed " key, and current ultrasonoscopy is shown as color flow angiography, namely average speed of blood stream is encoded.in order more comprehensively to reflect blood flow information, " Macintosh " can also be set, such as " speed variance Macintosh ", when the user selects this button, system is carried out array output speed variance blood-stream image to average speed of blood stream and blood flow variance, certainly, further, the mode of selecting the ultra sonic imaging type can be also that system selects current suitable parameter to carry out imaging according to the judgment condition of inner setting automatically, for example, system can be set except blood flow rate, beyond blood flow energy and blood flow variance and the significant parameter of ultra sonic imaging is selected the type of ultra sonic imaging as judgment condition, make the ultra sonic imaging optimal quality.
Further, described multiloop buffer location can store in the one or many inspection that colored doppler image signal comprises parameter information, such as average speed of blood stream, blood flow variance, blood flow energy etc., its concrete memory space is determined according to the performance of diasonograph itself or user's needs, there is no concrete restriction.in current check, when the color doppler image signal comprises one group of new parameter information and enters described decision-making decision unit, in this moment described decision-making decision unit, to comprise incomplete same numerical value available for each parameter, this needs described decision-making decision unit to make a choice current according to judgment condition is that any or many kinds of parameters information of exporting in the color doppler image signal is used for ultra sonic imaging, comprise average speed of blood stream information, at least one parameter information in blood flow energy information and blood flow variance information, judgment condition described here can be set up on their own by the user.For example, according to the parameter information in current color doppler image signal, variance information in described decision-making decision unit output color doppler image signal, the user can select average speed of blood stream as the judgment condition of selecting output parameter, namely in each organizes independently the color doppler image signal, filter out one group of color doppler image signal with maximum average speed, take two groups of color doppler image signals as example, with D S, D E, D VAverage speed of blood stream, blood flow energy and blood flow variance in expression color doppler image signal, the parameter of first group of color doppler image signal is designated as: (D S1, D E1, D V1), the parameter of second group of color doppler image signal is designated as: (D S2, D E2, D V2), if D S1>D S2, export the variance information D in first group V1Be used for ultra sonic imaging, in like manner, the user can also blood flow energy D E1As judgment condition, if D E2>D E1, export the variance information D in second group V2Be used for ultra sonic imaging.
Further, the user can select to export any two parameter informations in average speed of blood stream information, blood flow energy information or the blood flow variance information that comprises in the color doppler image signal, it selects the condition of output parameter can be average speed of blood stream, blood flow variance or blood flow energy, is not limited to them.For example, the user can select blood flow energy as the condition of selecting output parameter, namely in each organizes independently the color doppler image signal, filter out one group of color doppler image signal with maximum average speed of blood stream, blood flow variance information and the blood flowing speed information then exported simultaneously in this group are used for ultra sonic imaging.Above-mentioned conduct selects the average speed of blood stream information in the output parameter condition only to refer to the size of average speed of blood stream, does not consider its directional information, so that relatively.
Further, under anti-aliasing pattern, described decision-making decision unit utilizes question blank to obtain suitable sampling rate, such as increasing the PRF value, thereby avoids the generation of Doppler frequency spectrum aliasing.
Due to before checking beginning, the information such as average speed of blood stream can't calculate to a nicety, and often rely on doctor's empirical value to be set in advance, then need the doctor to make it be in optimum state by the manual adjustments parameter in checking process.According to disclosed principle, unit, described automatic adaptation cushion district can automatically be regulated each parameter and makes it be in optimum state under present mode and it is transferred to described wall filtering unit, in time adjust parameter value, parameter information described here includes but are not limited to PRF value, speed, baseline position etc.All processes are all that system is completed on backstage, experience intuitively for the user to be exactly the quality of current ultrasonoscopy obviously to optimize, and the most important thing is, need not user's manual operation can complete.In specific implementation process, described automatic adaptation cushion district is not limited only to regulate parameter for wall filter, and any unit that the parameter after its self adaptation can also being regulated be transferred to described autocorrelation coefficient unit, described parameter acquiring unit, described colored region selected cell, described decision-making decision unit, described multiloop buffer location or described image filtering unit is processed and made its parameter automatically be adjusted to optimization.
in one embodiment of the invention, when checking beginning, presetting average speed of blood stream is A cm/s, behind described image filtering unit, the parameter information that comprises in the color doppler image signal is abundanter, unit, described automatic adaptation cushion district average speed of blood stream current according to its interpretation of result is undesirable, wish to improve average speed of blood stream, and obtain current average speed of blood stream according to interpretation of result and reach B cm/s best results, the current average speed of blood stream of the automatic adjusting in unit, described automatic adaptation cushion district feeds back to described wall filtering unit to B cm/s and with its value, follow-up work for the treatment of is all processed take blood flow rate as B cm/s, whole process is at running background, consuming time short, speed is regulated the effect of bringing can directly be shown to the user fast.

Claims (7)

1. color Doppler ultrasound imaging module is characterized in that comprising:
The wall filtering unit, be used for removing the clutter composition that the color doppler image signal exists;
The autocorrelation coefficient unit, for autocorrelation coefficient and the frequency deviation of calculating the blood-stream image signal;
Parameter acquiring unit, process the parameter of color doppler image signal, calculates at least a in average speed of blood stream, blood flow variance or blood flow energy;
The colored region selected cell, the threshold value that sets up on their own by the parameter value with current and user or default threshold value are compared and are determined whether current region is carried out coloud coding;
The decision-making decision unit,, according to the parameter information of multiloop buffer location storage and the parameter information of current color doppler image signal, utilize judgment condition to compare, to determine that the parameter type that will export is used for ultra sonic imaging;
The multiloop buffer location, the parameter information that the storage color doppler image signal comprises;
The image filtering unit, be used for removing the noise information that the color doppler image signal comprises;
Unit, automatic adaptation cushion district,, for the parameter information of analyzing the color doppler image signal, automatically regulate and make it reach optimization and act on current ultrasonoscopy;
Graphics processing unit, be used for improving image color quality and color mapped;
Described wall filtering unit, autocorrelation coefficient unit, parameter acquiring unit and colored region selected cell are connected successively, described colored region selected cell connects respectively decision-making decision unit and multiloop buffer location, the outfan of described multiloop buffer location is connected with the input of decision-making decision unit, the outfan connection layout of decision-making decision unit is as filter unit, the outfan of described image filtering unit is connected with unit, automatic adaptation cushion district, graphics processing unit respectively, the outfan connecting wall filter unit of unit, described automatic adaptation cushion district;
after the color doppler image signal enters described decision-making decision unit and described multiloop buffer location, at first, described multiloop buffer location is stored all parameter informations in this color doppler image signal, wait for that new parameter information enters the velocity information that determines output color doppler image signal after described decision-making decision unit by judgment condition, in energy information or variance information wherein one or both, and this is processed result be transferred to described image filtering unit and further process, parameter information after Filtering Processing enters behind unit, described automatic adaptation cushion district automatically to regulate each parameter information and be transferred to described wall filtering unit and in time regulates the parameter value of wall filtering unit and make parameter value be in optimum state.
2. color Doppler ultrasound imaging module as claimed in claim 1, is characterized in that, the parameter type in described color doppler image signal comprises at least a in average speed of blood stream, blood flow energy, blood flow variance.
3. color Doppler ultrasound imaging module as claimed in claim 1, is characterized in that, described decision-making decision unit utilizes question blank to obtain suitable sampling rate and realizes the anti-aliasing of Doppler frequency deviation.
4. color Doppler ultrasound imaging module as claimed in claim 1, is characterized in that, described multiloop buffer location is stored all parameter values that comprise at least one color doppler image signal.
5. color Doppler ultrasound imaging module as claimed in claim 1, it is characterized in that, described colored region selected cell judges by threshold value whether current region needs coloud coding, described threshold value comprises high-energy threshold value, the high-energy threshold value after compression before threshold speed, variance threshold values, low-yield threshold value, compression, preset and energy value, the user of non-filtered is adjustable and the energy value of non-filtered at least a.
6. adopt the colour doppler flow imaging method of the described color Doppler ultrasound imaging module of claim 1, comprise the following steps:
To be divided into two-way from the I/Q data signal after the demodulator demodulation, a road is for generation of B mode image signal, and another road is for generation of the color doppler image signal;
Described B mode image signal is carried out gray-coded and storage, described color doppler image signal is carried out coloud coding and storage;
Finally described two-way picture signal is mixed into picture and sends into the display demonstration;
It is characterized in that: wherein described color doppler image signal is carried out coloud coding and comprise the following steps:
Described color doppler image signal is carried out wall filtering processing and autocorrelation coefficient calculating;
Color doppler image signal and the color doppler image signal of current reception of storage are adjudicated at least a for ultra sonic imaging in selection average speed of blood stream, blood flow variance or blood flow energy by judgment condition;
Process described color doppler image signal and its parameter value that comprises is carried out optimization automatically.
7. the colour doppler flow imaging method of color Doppler ultrasound imaging module as claimed in claim 6, is characterized in that, described autocorrelation coefficient is
R(m)=∑x *(i)x(i+m),
Wherein, x (i) is the data after wall filtering, and m is a real number, and * represents complex conjugate; When pulse recurrence interval was π, frequency deviation was:
df = ∠ R ( m ) 2 · π · m · τ ,
Wherein, ∠ R (m) is the phase place of R (m).
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