CN111282159A - Resistance chain distribution method for respiratory motion signal quasi-phase super-resolution circuit - Google Patents
Resistance chain distribution method for respiratory motion signal quasi-phase super-resolution circuit Download PDFInfo
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Abstract
The invention relates to a resistance chain distribution method for a respiratory motion signal quasi-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 resistance chain distribution method for the respiratory motion signal quasi-phase super-resolution circuit can practically provide a methodology for how the resistance chain of the quasi-phase super-resolution circuit is distributed, the given resistance ratio is more accurate, and more importantly, the resistance chain distribution method considers different situations when the super-resolution multiples are respectively odd numbers and even numbers and provides a method for how the resistance chain is distributed.
Description
Technical Field
The invention relates to a resistance chain distribution method for a respiratory motion signal quasi-phase super-resolution circuit, belonging to the technical field of precision instruments and thoracico-abdominal radiotherapy.
Background
The inventor applies two patents to the patient on 22.01.2020, which are respectively 'a quasi-phase super-resolution circuit for the respiratory motion signals of the surfaces of the chest and abdomen' (application number: 2020100758700) and 'a quasi-phase super-resolution method for the respiratory motion signals of the surfaces of the chest and abdomen' (application number: 202010075897X). The two patents of the invention provide a quasi-phase super-resolution circuit and a method for respiratory motion signals on the surface of the chest and abdomen aiming at the technical requirement of super-resolution of respiratory motion signals. 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 purpose of providing reasonable resistance value distribution results of the resistor chain on other super-resolution multiples and guarantee the distribution precision, the invention discloses a resistor chain distribution method for a respiratory motion signal quasi-phase super-resolution circuit.
The purpose of the invention is realized as follows:
a resistance chain distribution method for a respiratory motion signal quasi-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:
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:
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 quasi-phase super-resolution circuit comprises the following specific calculation steps of step e:
and has:
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 quasi-phase super-resolution circuit comprises the following specific calculation steps of step f:
and has:
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 quasi-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:
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:
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 quasi-phase super-resolution circuit comprises the following specific calculation steps of step e:
and has:
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 quasi-phase super-resolution circuit comprises the following specific calculation steps of step f:
and has:
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 patent of ' a chest and abdomen surface respiratory motion signal quasi-phase super-resolution circuit ' (application number: 2020100758700) and ' a chest and abdomen surface respiratory motion signal quasi-phase super-resolution method ' (application number: 202010075897X) ' which are applied by the inventor team on 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 selecting the resistance values of the resistor chains in terms of selection of super-resolution multiples even if the circuit is not limited to the circuit provided by the inventor team before.
Secondly, compared with the 'quasi-phase super-resolution circuit for the respiratory motion signal of the thoracoabdominal surface' (application number: 2020100758700) and 'quasi-phase super-resolution method for the respiratory motion signal of the thoracoabdominal surface' (application number: 202010075897X) 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 quasi-phase super-resolution circuit, and in the present embodiment, the number of times of super-resolution is an odd number.
A resistance chain distribution method for a respiratory motion signal quasi-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:
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:
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:
and has:
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:
and has:
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 quasi-phase 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 quasi-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:
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:
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:
and has:
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:
and has:
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 data in the invention patent "a thoraco-abdominal surface respiratory motion signal quasi-phase super-resolution circuit" (application No. 2020100758700) and "a thoraco-abdominal surface respiratory motion signal quasi-phase super-resolution method" (application No. 202010075897X) which are applied by the inventor at 22.01/2020 by the present invention are taken as examples, and the super-resolution multiple is 5, so as to see the specific implementation mode of the present invention.
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:
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:
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 withThe ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
in the invention patent "a quasi-phase super-resolution circuit for respiratory motion signals on the surface of the chest and abdomen" (application number: 2020100758700) and "a quasi-phase super-resolution method for respiratory motion signals on the surface of the chest and abdomen" (application number: 202010075897X), the ratio of the resistance on 2 resistance chains to the lower resistance is respectively:
8/11≈0.73
28/9≈3.11
between the second output cos α and the third output-sin α, according toThe ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
in the invention patent "a quasi-phase super-resolution circuit for respiratory motion signals on the surface of the chest and abdomen" (application number: 2020100758700) and "a quasi-phase super-resolution method for respiratory motion signals on the surface of the chest and abdomen" (application number: 202010075897X), the ratio of the resistance on 2 resistance chains to the lower resistance is respectively:
9/28≈0.32
11/8≈1.38
it can be seen that compared with the invention patent quasi-phase super-resolution circuit for thoracoabdominal surface respiratory motion signals (application number: 2020100758700) and the invention patent quasi-phase super-resolution method for thoracoabdominal surface respiratory motion signals (application number: 202010075897X), 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 quasi-phase super-resolution circuit for thoracoabdominal surface respiratory motion signals (application number: 2020100758700) and the invention patent quasi-phase super-resolution method for thoracoabdominal surface respiratory motion signals (application number: 202010075897X) which are generated during resistance type selection.
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:
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:
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 withThe ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
between the second output cos α and the third output-sin α, according toThe ratios of the resistances on the 3 resistance chains to the lower resistance are obtained as follows:
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:
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:
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 withThe ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
between the second output cos α and the third output-sin α, according toThe ratio of the resistance on the 2 resistance chains to the resistance below is obtained as follows:
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 quasi-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:
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:
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 respiratory motion signal quasi-phase super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step e are as follows:
and has:
not only can the ratio k be calculated, but k' can be calculated from k as needed.
3. The respiratory motion signal quasi-phase super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step f are as follows:
and has:
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 quasi-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:
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:
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 respiratory motion signal quasi-phase super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step e are as follows:
and has:
not only can the ratio k be calculated, but k' can be calculated from k as needed.
6. The respiratory motion signal quasi-phase super-resolution circuit-oriented resistance chain allocation method according to claim 1, wherein the specific calculation steps of step f are as follows:
and has:
not only can the ratio k be calculated, but k' can be calculated from k as needed.
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