CN111317923A - Resistance chain distribution method for respiratory motion signal wrong-phase super-resolution circuit - Google Patents

Resistance chain distribution method for respiratory motion signal wrong-phase super-resolution circuit Download PDF

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CN111317923A
CN111317923A CN202010077511.9A CN202010077511A CN111317923A CN 111317923 A CN111317923 A CN 111317923A CN 202010077511 A CN202010077511 A CN 202010077511A CN 111317923 A CN111317923 A CN 111317923A
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赵烟桥
陈睿
胡亚欣
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Harbin University of Science and Technology
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Abstract

The invention relates to a resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit, belonging to the technical field of precision instruments and thoracico-abdominal radiotherapy; the method comprises the steps of firstly, determining the multiple of super resolution; then determining the number of resistor chains according to the multiple of super resolution; respectively determining the number of resistor chains distributed between the first output and the second output and between the second output and the third output according to the multiple of the super-resolution; finally, the ratio of the resistance on each resistance chain to the resistance below is respectively determined between the first output and the second output, between the second output and the third output; the invention provides a resistor chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit, which can practically provide a methodology for how to distribute resistor chains of the wrong-phase super-resolution circuit, and the given resistor ratio is more accurate.

Description

Resistance chain distribution method for respiratory motion signal wrong-phase super-resolution circuit
Technical Field
The invention discloses a resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit, and belongs to the technical field of precision instruments and thoracico-abdominal radiotherapy.
Background
The inventor applies two patents to the past 22.01.2020, which are respectively 'a super-resolution circuit for the wrong phase of the respiratory motion signal on the surface of the chest and abdomen' (application number: 2020100758876) and 'a super-resolution method for the wrong phase of the respiratory motion signal on the surface of the chest and abdomen' (application number: 2020100758965). The two patents of the invention provide a chest and abdomen surface respiration motion signal wrong phase super-resolution circuit and method aiming at the technical requirement of super-resolution of the respiration motion signal. The distribution of the resistance values of the resistor chain is one of the core technical links in the circuit and the method.
In the two patents, the result of assigning the resistance values in the resistor chain is given with the super-resolution multiple of 5, but the result is only given for the super-resolution multiple of 5, and how to give the result of assigning the resistance values in the resistor chain for different super-resolution multiples and how to ensure the assignment accuracy are not given in the two patents.
Therefore, the key technical problems that the super-resolution multiple is 5, the distribution precision is guaranteed to realize other super-resolution multiples, and the application range of the circuit is enlarged are solved.
Disclosure of Invention
In order to break through the technical bottleneck of the prior patent application of the inventor team, achieve the reasonable resistance value distribution result of the resistor chain on other super-resolution multiples and ensure the distribution precision, the invention discloses a resistor chain distribution method for a respiratory motion signal dislocation super-resolution circuit.
The purpose of the invention is realized as follows:
a resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit comprises the following steps:
step a, determining a multiple N of super resolution, wherein N is required to be an odd number;
b, determining the number N-1 of resistor chains according to the multiple N of the super resolution;
c, determining the number (N-1)/2 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number (N-1)/2 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure BDA0002378923490000021
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000022
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit comprises the following specific calculation steps of step e:
Figure BDA0002378923490000023
wherein,
Figure BDA0002378923490000024
and has:
Figure BDA0002378923490000025
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit comprises the following specific calculation steps of step f:
Figure BDA0002378923490000026
wherein,
Figure BDA0002378923490000027
and has:
Figure BDA0002378923490000028
not only can the ratio k be calculated, but k' can be calculated from k as needed.
A resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit comprises the following steps:
step a, determining a multiple N of super resolution, wherein N is an even number;
b, determining the number N-2 of resistor chains according to the multiple N of the super-resolution;
c, determining the number N/2-1 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number N/2-1 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure BDA0002378923490000031
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000032
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit comprises the following specific calculation steps of step e:
Figure BDA0002378923490000033
wherein,
Figure BDA0002378923490000034
and has:
Figure BDA0002378923490000035
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit comprises the following specific calculation steps of step f:
Figure BDA0002378923490000036
wherein,
Figure BDA0002378923490000037
and has:
Figure BDA0002378923490000038
not only can the ratio k be calculated, but k' can be calculated from k as needed.
Has the advantages that:
first, compared with the invention patent of 'a chest and abdomen surface respiratory motion signal error phase super resolution circuit' (application number: 2020100758876) and 'a chest and abdomen surface respiratory motion signal error phase super resolution method' (application number: 2020100758965) applied by the inventor team at 22/01/2020, the application practically provides a methodology of how to allocate the resistor chains, so that a theoretical basis can be provided for resistor chain resistance value selection in selection of super resolution multiples even if the circuit is not limited to the circuit provided before the inventor team.
Secondly, compared with the 'circuit for super-resolution of the wrong phase of the respiratory motion signal of the thoracoabdominal surface' (application number: 2020100758876) and 'method for super-resolution of the wrong phase of the respiratory motion signal of the thoracoabdominal surface' (application number: 2020100758965), which are invented by the inventor team at 22.01/2020, the method provided by the invention is strictly derived and therefore has higher precision.
Thirdly, the method considers the difference of the derivation conclusions under the different conditions that the super-resolution multiples are respectively odd numbers and even numbers, wherein when the super-resolution multiples are odd numbers, the resistance value ratios of two corresponding resistors in the resistor chain are asymmetric between the first output sin α and the second output cos α and between the second output cos α 0 and the third output-sin α 1, so that the resistance value ratios of the two corresponding resistors in the resistor chain are required to be calculated respectively between the first output sin α and the second output cos α and between the second output cos α and the third output-sin α, when the super-resolution multiples are even numbers, the resistance values of the two corresponding resistors in the resistor chain are required to be calculated respectively between the first output sin α and the second output cos α and between the second output cos α and the third output-sin α, so that the resistance ratio between the two corresponding resistors in the resistor chain is completely symmetric, so that the ratio between the two corresponding resistors is required to be calculated only, and the ratio between the two corresponding resistors is naturally obtained, thus, half of the calculation amount can be saved in the actual operation process.
Drawings
Fig. 1 is a schematic diagram of a resistor chain involved in the method of the present invention.
Detailed Description
The following describes an embodiment of the present invention in further detail with reference to the accompanying drawings, wherein a schematic diagram of a resistor chain according to the present invention is shown in fig. 1.
Detailed description of the invention
The present embodiment is an embodiment of a resistance chain allocation method for a respiratory motion signal phase error super-resolution circuit, and in the present embodiment, the number of super-resolution multiples is an odd number.
A resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit comprises the following steps:
step a, determining a multiple N of super resolution, wherein N is required to be an odd number;
b, determining the number N-1 of resistor chains according to the multiple N of the super resolution;
c, determining the number (N-1)/2 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number (N-1)/2 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure BDA0002378923490000051
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000052
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The specific calculation steps of step e are as follows:
Figure BDA0002378923490000053
wherein,
Figure BDA0002378923490000054
and has:
Figure BDA0002378923490000055
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The specific calculation steps of step f are as follows:
Figure BDA0002378923490000056
wherein,
Figure BDA0002378923490000057
and has:
Figure BDA0002378923490000058
not only can the ratio k be calculated, but k' can be calculated from k as needed.
Detailed description of the invention
The present embodiment is an embodiment of a resistance chain allocation method for a respiratory motion signal phase error super-resolution circuit, and in the present embodiment, the multiple of super-resolution is an even number.
A resistance chain distribution method for a respiratory motion signal wrong-phase super-resolution circuit comprises the following steps:
step a, determining a multiple N of super resolution, wherein N is an even number;
b, determining the number N-2 of resistor chains according to the multiple N of the super-resolution;
c, determining the number N/2-1 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number N/2-1 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure BDA0002378923490000061
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000062
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
The specific calculation steps of step e are as follows:
Figure BDA0002378923490000063
wherein,
Figure BDA0002378923490000064
and has:
Figure BDA0002378923490000065
not only can the ratio k be calculated, but k' can be calculated from k as needed.
The specific calculation steps of step f are as follows:
Figure BDA0002378923490000066
wherein,
Figure BDA0002378923490000071
and has:
Figure BDA0002378923490000072
not only can the ratio k be calculated, but k' can be calculated from k as needed.
Detailed description of the invention
This embodiment is a specific example in which the number of super-resolution multiples is odd in the present invention.
The specific implementation of the present invention is seen by taking the data in the patents of inventions of "a circuit for super-resolution of a respiratory motion signal error phase on a thoracoabdominal surface" (application No. 2020100758876) and "a method for super-resolution of a respiratory motion signal error phase on a thoracoabdominal surface" (application No. 2020100758965) as examples, which were filed by the inventor on 22.01/2020, as an example, where the super-resolution multiple is 5.
Step a, determining the multiple 5 of super resolution, wherein 5 is an odd number;
b, determining the number 4 of the resistor chains according to the multiple 5 of the super-resolution;
step c, determining the number 2 of the resistor chains distributed between the first output sin α and the second output cos α according to the multiple 5 of super resolution;
d, determining the number 2 of the resistor chains distributed between the second output cos α and the third output-sin α according to the multiple 5 of the super resolution;
step e, according to the following formula:
Figure BDA0002378923490000073
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000074
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the second output cos α and the third output-sin α;
between the first output sin α and the second output cos α, in accordance with
Figure BDA0002378923490000075
The ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
Figure BDA0002378923490000076
Figure BDA0002378923490000081
in the invention patent of a chest and abdomen surface respiration motion signal wrong phase super-resolution circuit (application number: 2020100758876) and a chest and abdomen surface respiration motion signal wrong phase super-resolution method (application number: 2020100758965), the ratio of the resistance on 2 resistance chains to the lower resistance is respectively as follows:
9/28≈0.32
11/8≈1.38
between the second output cos α and the third output-sin α, according to
Figure BDA0002378923490000082
The ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
Figure BDA0002378923490000083
Figure BDA0002378923490000084
in the invention patent of a chest and abdomen surface respiration motion signal wrong phase super-resolution circuit (application number: 2020100758876) and a chest and abdomen surface respiration motion signal wrong phase super-resolution method (application number: 2020100758965), the ratio of the resistance on 2 resistance chains to the lower resistance is respectively as follows:
8/11≈0.73
28/9≈3.11
it can be seen that compared with the invention patent of a chest and abdomen surface respiratory motion signal wrong phase super-resolution circuit (application number: 2020100758876) and the invention patent of a chest and abdomen surface respiratory motion signal wrong phase super-resolution method (application number: 2020100758965), the method of the invention has three resistance chains with completely consistent conclusions, and one resistance chain has only about 1% of errors, and the errors are not errors of the invention patent, but errors generated when resistance selection is carried out in the invention patent of a chest and abdomen surface respiratory motion signal wrong phase super-resolution circuit (application number: 2020100758876) and the invention patent of a chest and abdomen surface respiratory motion signal wrong phase super-resolution method (application number: 2020100758965), and the conclusions are strictly derived, so that the given conclusions are more accurate.
Detailed description of the invention
This embodiment is a specific example in which the number of super-resolution multiples is odd in the present invention.
The specific embodiment of the present invention is shown here with a factor of 7 for super resolution.
Step a, determining the multiple 7 of super resolution, wherein the multiple 7 is an odd number;
b, determining the number 6 of the resistor chains according to the multiple 7 of the super-resolution;
c, determining the number 3 of the resistor chains distributed between the first output sin α and the second output cos α according to the multiple 7 of the super resolution;
d, determining the number 3 of the resistor chains distributed between the second output cos α and the third output-sin α according to the multiple 5 of the super resolution;
step e, according to the following formula:
Figure BDA0002378923490000091
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000092
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the second output cos α and the third output-sin α;
between the first output sin α and the second output cos α, in accordance with
Figure BDA0002378923490000093
The ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
Figure BDA0002378923490000094
Figure BDA0002378923490000095
Figure BDA0002378923490000096
between the second output cos α and the third output-sin α, according to
Figure BDA0002378923490000097
The ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
Figure BDA0002378923490000098
Figure BDA0002378923490000099
Figure BDA00023789234900000910
it should be noted that, from the derivation conclusion that the super-resolution multiple is odd in the present application, it can be seen that the ratio between the first output sin α and the second output cos α and between the second output cos α and the third output-sin α correspond to the asymmetry of the two resistor ratios in the resistor chain, so that the ratio of the resistor chain between the first output sin α and the second output cos α and between the second output cos α and the third output-sin α need to be calculated respectively.
Detailed description of the invention
This embodiment is a specific example of the present invention in which the super-resolution multiple is an even number.
The specific embodiment of the present invention is shown here with a super-resolution factor of 6.
Step a, determining the multiple 6 of super resolution, wherein 6 is an even number;
b, determining the number 4 of the resistor chains according to the multiple 6 of the super-resolution;
step c, determining the number 2 of the resistor chains distributed between the first output sin α and the second output cos α according to the multiple 6 of the super resolution;
d, determining the number 2 of the resistor chains distributed between the second output cos α and the third output-sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure BDA0002378923490000101
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure BDA0002378923490000102
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the second output cos α and the third output-sin α;
between the first output sin α and the second output cos α, in accordance with
Figure BDA0002378923490000103
The ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
Figure BDA0002378923490000104
Figure BDA0002378923490000105
between the second output cos α and the third output-sin α, according to
Figure BDA0002378923490000106
The ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
Figure BDA0002378923490000107
Figure BDA0002378923490000108
it should be noted that, as can be seen from the derivation conclusion that the super-resolution multiple of the present application is even, the ratio of the two resistance values in the corresponding resistance chain is completely symmetrical between the first output sin α and the second output cos α and between the second output cos α and the third output — sin α, so that only the ratio of the resistance chain between two of the outputs needs to be calculated, and the ratio of the resistance chain between the other two outputs is naturally obtained.

Claims (6)

1. The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit is characterized by comprising the following steps of:
step a, determining a multiple N of super resolution, wherein N is required to be an odd number;
b, determining the number N-1 of resistor chains according to the multiple N of the super resolution;
c, determining the number (N-1)/2 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number (N-1)/2 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure FDA0002378923480000011
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure FDA0002378923480000012
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
2. The resistive chain allocation method for the respiratory motion signal wrong-phase super-resolution circuit according to claim 1, wherein the specific calculation steps in step e are as follows:
Figure FDA0002378923480000013
wherein,
Figure FDA0002378923480000014
and has:
Figure FDA0002378923480000015
not only can the ratio k be calculated, but k' can be calculated from k as needed.
3. The resistive chain allocation method for the respiratory motion signal wrong-phase super-resolution circuit according to claim 1, wherein the specific calculation steps in step f are as follows:
Figure FDA0002378923480000016
wherein,
Figure FDA0002378923480000021
and has:
Figure FDA0002378923480000022
not only can the ratio k be calculated, but k' can be calculated from k as needed.
4. The resistance chain distribution method for the respiratory motion signal wrong-phase super-resolution circuit is characterized by comprising the following steps of:
step a, determining a multiple N of super resolution, wherein N is an even number;
b, determining the number N-2 of resistor chains according to the multiple N of the super-resolution;
c, determining the number N/2-1 of resistor chains distributed between the first output sin α and the second output cos α according to the multiple N of super resolution;
d, determining the number N/2-1 of resistor chains distributed between the second output cos α and the third output sin α according to the multiple N of super resolution;
step e, according to the following formula:
Figure FDA0002378923480000023
determining a ratio k between an upper resistance and a lower resistance of an ith resistor chain between the first output sin α and the second output cos α;
step f, according to the following formula:
Figure FDA0002378923480000024
the ratio k between the upper and lower resistances of the ith resistor chain between the second output cos α and the third output-sin α is determined.
5. The resistive chain allocation method for the respiratory motion signal wrong-phase super-resolution circuit according to claim 1, wherein the specific calculation steps in step e are as follows:
Figure FDA0002378923480000025
wherein,
Figure FDA0002378923480000026
and has:
Figure FDA0002378923480000027
not only can the ratio k be calculated, but k' can be calculated from k as needed.
6. The resistive chain allocation method for the respiratory motion signal wrong-phase super-resolution circuit according to claim 1, wherein the specific calculation steps in step f are as follows:
Figure FDA0002378923480000031
wherein,
Figure FDA0002378923480000032
and has:
Figure FDA0002378923480000033
not only can the ratio k be calculated, but k' can be calculated from k as needed.
CN202010077511.9A 2020-01-30 2020-01-30 Resistance chain distribution method for respiratory motion signal wrong-phase super-resolution circuit Pending CN111317923A (en)

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Publication number Priority date Publication date Assignee Title
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CN103440676A (en) * 2013-08-13 2013-12-11 南方医科大学 Method for reconstruction of super-resolution coronary sagittal plane image of lung 4D-CT image based on motion estimation
CN109714007A (en) * 2019-03-06 2019-05-03 深圳市万微微电子技术有限公司 It is a kind of for eliminating the Dynamic Matching voltage amplifier of resistance fabrication error

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Publication number Priority date Publication date Assignee Title
JP2013247473A (en) * 2012-05-24 2013-12-09 Nippon Telegr & Teleph Corp <Ntt> Distributed video coding method and system and decoding device
CN103440676A (en) * 2013-08-13 2013-12-11 南方医科大学 Method for reconstruction of super-resolution coronary sagittal plane image of lung 4D-CT image based on motion estimation
CN109714007A (en) * 2019-03-06 2019-05-03 深圳市万微微电子技术有限公司 It is a kind of for eliminating the Dynamic Matching voltage amplifier of resistance fabrication error

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Title
张铁强等: "《工科大学物理实验》", 28 February 1998 *

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