CN110071706B - Nuclear pulse signal rising edge recovery method and device and digital nuclear instrument - Google Patents
Nuclear pulse signal rising edge recovery method and device and digital nuclear instrument Download PDFInfo
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Abstract
The embodiment of the application relates to the technical field of signal processing, and provides a method and a device for recovering a rising edge of a nuclear pulse signal and a digital nuclear instrument. The method comprises the following steps: acquiring a nuclear pulse signal to be processed, wherein the signal to be processed has a certain rising edge; restoring the rising edge of the nuclear pulse signal to be processed aiming at the nuclear pulse signal to be processed to obtain a corresponding restored signal; and carrying out shaping processing on the recovery signal. The core pulse signal to be processed is recovered in the rising edge mode, and then the recovery signal is processed in a shaping mode, so that the problem of amplitude loss of the core signal after shaping is solved.
Description
Technical Field
The application relates to the technical field of signal processing, in particular to a method and a device for recovering a rising edge of a nuclear pulse signal and a digital nuclear instrument.
Background
To obtain accurate nuclear information in nuclear science technology, signals output by a nuclear detector are often processed by an electronic method, wherein the digital signal processing technology is widely applied in the field of nuclear measurement, the development of a digital nuclear instrument is promoted, and the accuracy and the flexibility of nuclear spectrum measurement are greatly improved.
Compared with an analog nuclear instrument, the digital nuclear instrument has better stability, anti-interference performance and fidelity, and is a hot spot of current research. In order to obtain a nuclear energy spectrum with good energy and time resolution, appropriate filtering and shaping and other processing are required to be carried out on the digital nuclear signal, and research shows that the energy resolution of the obtained energy spectrum graph needs to be improved after the digital nuclear instrument processes the nuclear pulse signal.
Disclosure of Invention
The application provides a method and a device for recovering a rising edge of a nuclear pulse signal and a digital nuclear instrument.
The embodiment of the application provides a method for recovering a rising edge of a nuclear pulse signal, which is applied to a digital nuclear instrument and comprises the following steps:
acquiring a nuclear pulse signal to be processed;
restoring the rising edge of the nuclear pulse signal to be processed aiming at the nuclear pulse signal to be processed to obtain a corresponding restored signal;
and carrying out shaping processing on the recovery signal.
Further, the step of recovering the rising edge of the to-be-processed nuclear pulse signal to obtain a corresponding recovery signal includes:
inputting the nuclear pulse signal to be processed into a pre-established recovery model;
restoring the rising edge of the nuclear pulse signal to be processed through the restoration model to obtain a corresponding restoration signal;
the recovery model is as follows:
wherein, x [ n ]]For the nuclear pulse signal to be processed,
Tsand tau is a slow time parameter of the nuclear pulse signal to be processed, namely a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part.
Further, the digitized nuclear instrument includes a differential circuit and an analog-to-digital conversion module, and the step of recovering the rising edge of the nuclear pulse signal to be processed by the recovery model to obtain a corresponding recovery signal includes:
acquiring a nuclear pulse signal to be processed, wherein the nuclear pulse signal to be processed is a double-exponential nuclear pulse signal;
converting the dual-exponent pulse signal into a dual-exponent pulse sequence through the analog-to-digital conversion module;
and restoring the rising edge of the double exponential pulse sequence through the restoration model to obtain a corresponding restoration signal.
Further, the method further comprises the step of constructing the restoration model, the step comprising:
establishing a nuclear pulse signal double-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed, TsTaking a sampling time interval of the digital nuclear instrument, wherein tau is a slow time parameter of the nuclear pulse signal to be processed, namely a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part;
establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
Further, the system function is calculated by the following formula:
the embodiment of the present application further provides a nuclear pulse signal rising edge recovery device, which is applied to a digital nuclear instrument, and the device includes:
the acquisition module is used for acquiring a nuclear pulse signal to be processed;
the recovery module is used for recovering the rising edge of the nuclear pulse signal to be processed to obtain a corresponding recovery signal;
and the shaping module is used for carrying out shaping processing on the recovery signal.
Further, the recovery module includes: the nuclear pulse signal to be processed is input into a pre-established recovery model;
the recovery model is further used for recovering the rising edge of the nuclear pulse signal to be processed to obtain a corresponding recovery signal;
the recovery model is as follows:
wherein, x [ n ]]For the nuclear pulse signal to be processed,
Tsand tau is a slow time parameter of the nuclear pulse signal to be processed, namely a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part.
Further, the apparatus further comprises:
the model establishing module is used for establishing a nuclear pulse signal bi-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed，TsTaking a sampling time interval of the digital nuclear instrument, wherein tau is a slow time parameter of the nuclear pulse signal to be processed, namely a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part;
establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
Further, the model building module is used for calculating a system function according to the following formula:
the embodiment of the present application further provides a digital nuclear instrument, including: the device comprises a processor, a memory and a bus, wherein the memory stores machine readable instructions executable by the processor, when a digital nuclear instrument runs, the processor and the memory are communicated through the bus, and the processor executes the machine readable instructions to execute the steps of the nuclear pulse signal rising edge recovery method.
The embodiment of the application provides a method and a device for recovering a rising edge of a nuclear pulse signal and a digital nuclear instrument. After the rising edge of the nuclear pulse signal to be processed with the rising edge is restored to obtain a restored signal, the restored signal is subjected to shaping processing, the amplitude loss problem of the shaped nuclear signal is solved, and the energy resolution of the energy spectrum diagram is improved.
In order to make the aforementioned objects, features and advantages of the present application more comprehensible, preferred embodiments accompanied with figures are described in detail below.
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In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings that are required to be used in the embodiments will be briefly described below, it should be understood that the following drawings only illustrate some embodiments of the present application and therefore should not be considered as limiting the scope, and for those skilled in the art, other related drawings can be obtained from the drawings without inventive effort.
Fig. 1 is a dual-exponential nuclear pulse signal provided in an embodiment of the present application.
Fig. 2 is a diagram of a shaped pulse signal after being shaped by the dual-exponential nuclear pulse signal in fig. 1 according to an embodiment of the present application.
Fig. 3 is a block diagram of a digital nuclear instrument according to an embodiment of the present disclosure.
Fig. 4 is a flowchart of a method for recovering a rising edge of a nuclear pulse signal according to an embodiment of the present application.
Fig. 5 is a graph comparing a recovered signal obtained after recovering a rising edge with a dual-exponential pulse signal without recovering the rising edge according to an embodiment of the present application.
Fig. 6 is a diagram of a trapezoidal pulse signal obtained by trapezoidal pulse shaping of a restored signal according to an embodiment of the present application.
Fig. 7 is a functional block diagram of a device for recovering a rising edge of a nuclear pulse signal according to an embodiment of the present disclosure.
Icon: 100-a digital nuclear instrument; 110-a nuclear pulse signal rising edge recovery device; 111-an acquisition module; 112-a recovery module; 113-a shaping module; 120-a processor; 130-memory.
Detailed Description
The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of the embodiments. The components of the embodiments of the present application, generally described and illustrated in the figures herein, can be arranged and designed in a wide variety of different configurations.
Thus, the following detailed description of the embodiments of the present application, presented in the accompanying drawings, is not intended to limit the scope of the claimed application, but is merely representative of selected embodiments of the application. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present application without making any creative effort, shall fall within the protection scope of the present application.
It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, it need not be further defined and explained in subsequent figures.
The acquisition of nuclear pulse signals generally employs a nuclear radiation detector in a digital nuclear instrument, and the measurement of nuclear pulse signals generally employs a nuclear electronics measurement system. The acquisition and processing of analog signals of nuclear pulse signals, analog-to-digital conversion and data processing are respectively completed based on a nuclear radiation detector and a nuclear electronics measurement system. Through research of the applicant, the nuclear pulse signal obtained by the nuclear radiation detector is generally shaped into an exponential decay type nuclear pulse signal, and then the shaping processing is carried out on the exponential decay type nuclear pulse signal in the FPGA. But there is a problem that the energy resolution of the energy spectrum is to be improved.
In the prior art, a method for improving the precision of a digital nuclear instrument is generally adopted to solve the problem that the energy resolution of an energy spectrum graph is lost, and the cost is generally higher. Multiple tests show that the problem that the energy resolution of the energy spectrum chart needs to be improved can be further improved by improving the signals acquired in the digital nuclear instrument.
Specifically, as shown in fig. 1 and fig. 2, the nuclear pulse signal obtained by the detector is shaped into a dual-exponential nuclear pulse signal as an example, fig. 1 is a dual-exponential nuclear pulse signal, and fig. 2 is a shaped nuclear pulse signal obtained by shaping the dual-exponential nuclear pulse signal. The horizontal axis represents time of the signal, and the vertical axis represents amplitude of the signal, and the unit may be V (volt) (not shown in the figure, and when applied, the unit of amplitude and the unit of time are determined according to actual situations). The curve with the lower peak value is the bi-exponential pulse signal, and the curve with the higher peak value is the shaped pulse signal shaped according to the bi-exponential pulse signal. As can be seen from fig. 2, after the shaping processing is performed on the dual-exponential pulse signal, the flat top of the obtained shaped pulse signal has a deviation, and the amplitude of the shaped pulse signal has a loss, which further causes a loss of energy resolution of the energy spectrum.
In view of the above problem, an embodiment of the present application provides a technical solution that a nuclear pulse signal with a rising edge is restored by a restoration algorithm to obtain a restored nuclear pulse signal, and then the restored nuclear pulse signal is subjected to pulse forming, so that an obtained formed pulse has no loss in amplitude.
Referring to fig. 3, the present embodiment provides a digital nuclear instrument 100 based on the above findings, where the digital nuclear instrument 100 includes a memory 130, a processor 120, and a nuclear pulse signal rising edge recovery device 110.
The memory 130 is electrically connected to the processor 120 directly or indirectly to enable data transmission or interaction. For example, the components may be electrically connected to each other via one or more communication buses or signal lines. The core pulse signal rising edge recovery device 110 includes at least one software functional module which can be stored in the memory 130 in the form of software or firmware (firmware). The processor 120 is configured to execute an executable computer program stored in the memory 130, for example, a software functional module and a computer program included in the apparatus 110 for recovering a rising edge of a core pulse signal, so as to implement a method for recovering a rising edge of a core pulse signal.
The Memory 130 may be, but is not limited to, a Random Access Memory (RAM), a Read Only Memory (ROM), a Programmable Read-Only Memory (PROM), an Erasable Read-Only Memory (EPROM), an electrically Erasable Read-Only Memory (EEPROM), and the like. The memory 130 is used for storing a program, and the processor 120 executes the program after receiving the execution instruction.
The processor 120 may be an integrated circuit chip having signal processing capabilities. The Processor 120 may be a general-purpose Processor, including a Central Processing Unit (CPU), a Network Processor (NP), and the like; but may also be a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA) or other programmable logic device, discrete gate or transistor logic device, discrete hardware components. The various methods, steps, and logic blocks disclosed in the embodiments of the present application may be implemented or performed. A general purpose processor may be a microprocessor or the processor 120 may be any conventional processor or the like.
It will be appreciated that the configuration shown in fig. 3 is merely illustrative and that the digital nuclear tool 100 may include more or fewer components than shown in fig. 3 or may have a different configuration than shown in fig. 3. The components shown in fig. 3 may be implemented in hardware, software, or a combination thereof.
For example, the digital nuclear instrument 100 may also include a differentiation circuit and an analog-to-digital conversion module.
The differential circuit is used for receiving a signal to be processed and converting the nuclear pulse signal to be processed into a double-exponential pulse signal. In this embodiment, the differential circuit may adopt a conventional common differential circuit, and a specific circuit structure diagram is not described in detail in this embodiment.
The analog-to-digital conversion module is used for receiving the double-exponential pulse signal and converting the double-exponential pulse into a double-exponential pulse sequence. Meanwhile, the analog-to-digital conversion module may be ADS129x, ADS5296A, TLC7135, TLC0831, or the like.
Referring to fig. 4, the embodiment of the present application further provides a method for recovering a rising edge of a nuclear pulse signal, which can be applied to the above-mentioned digitized nuclear instrument 100, and the method can be implemented through steps S1 to S3. Wherein the method steps defined by the method-related flow may be implemented by the processor 120. The specific flow shown in fig. 4 will be described in detail below.
And S1, acquiring a nuclear pulse signal to be processed.
In this embodiment, the nuclear pulse signal to be processed may be obtained by a detector in the digital nuclear instrument 100, and optionally, the detector may be a FAST-SDD detector or a NaI (T1) detector. The specific model can be selected according to the needs, and is not limited herein.
And S2, recovering the rising edge of the nuclear pulse signal to be processed aiming at the nuclear pulse signal to be processed to obtain a corresponding recovery signal.
In this embodiment, the to-be-processed nuclear pulse signal may be input into a pre-established recovery model. And restoring the rising edge of the nuclear pulse signal to be processed through the restoration model to obtain a corresponding restoration signal.
In one embodiment, when the recovery model is used to recover the nuclear pulse signal to be processed, the nuclear pulse signal to be processed may be digitized by a differential circuit and an analog-to-digital conversion module in the digitized nuclear instrument 100. And then recovering the digitalized signal. It is to be understood that the manner of digital processing is not limited to that mentioned in the present application.
In the embodiment of the present application, the to-be-processed core pulse signal is converted into a dual-exponential pulse signal, and this is taken as an example to be described in detail. It is understood that the nuclear pulse signal to be processed can also be converted into other exponential decay type signals.
Specifically, a nuclear pulse signal to be processed is obtained, the detector has certain charge collection time, so that the output signal has certain rising edge, and the falling edge of the detector output signal after passing through the differential circuit is buffered, so that the nuclear pulse signal to be processed is a double-exponential pulse signal.
The double-exponential pulse signal is converted into a double-exponential pulse sequence (i.e., a discrete double-exponential pulse signal) by the analog-to-digital conversion module. It is understood that the sampling time interval of the analog-to-digital conversion module can be set according to the sampling theorem and the actual requirement.
And the recovery model recovers the rising edge of the double-exponential pulse sequence to obtain a corresponding recovery signal.
In one embodiment, the recovery model may be:
wherein, x [ n ]]For the core pulse signal to be processed (i.e. the bi-exponential pulse sequence),
Tsfor the sampling time interval of the digital nuclear instrument 100 (i.e., the sampling time interval of the analog-to-digital conversion module), τ is a slow time parameter of the nuclear pulse signal to be processed, i.e., a falling edge portion (whose value is a product of a resistance value of a resistor and a capacitance value of a capacitor in a differential circuit, i.e., τ ═ RC), and θ is a fast time parameter of the nuclear pulse signal to be processed, i.e., a rising edge portion.
The method for restoring the rising edge of the nuclear pulse signal provided by the embodiment of the application further comprises the step of constructing the restoration model, wherein the step comprises the following steps:
establishing a nuclear pulse signal double-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed, TsFor the sampling time interval of the digital nuclear instrument 100, tau is of the nuclear pulse signal to be processedThe slow time parameter is a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part.
Establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
The system function is calculated by the following formula:
referring to fig. 5, fig. 5 is a graph comparing the recovered signal obtained after the rising edge of the obtained bi-exponential pulse signal is recovered through the above steps with the bi-exponential pulse signal without recovered rising edge. The horizontal axis represents time of the signal, and the vertical axis represents amplitude of the signal, and the unit may be V (volt) (not shown in the figure, and when applied, the unit of amplitude and the unit of time are determined according to actual situations). As can be seen from fig. 5, the recovered signal coincides with a part of the dual-exponential pulse signal, the rising edge part of the dual-exponential pulse signal is recovered, and the falling edge part of the dual-exponential pulse signal is not changed. The bi-exponential pulse signal may be equated to a mono-exponential pulse signal at this time.
And S3, shaping the recovery signal.
In the embodiment of the application, because the trapezoidal pulse is closest to the optimal filter waveform, the digital nuclear signal can be shaped into the trapezoidal pulse in the digital multichannel by adopting a trapezoidal pulse shaping algorithm, and the energy spectrum considering both the energy resolution and the counting rate is obtained. Therefore, in the embodiment of the present application, a trapezoidal pulse shaping algorithm is used to perform trapezoidal pulse shaping on the recovery signal.
Referring to fig. 6, fig. 6 shows a trapezoidal pulse signal obtained by trapezoidal pulse shaping the recovered signal, where a curve with a higher peak value is a trapezoidal pulse signal shaped after recovery from a rising edge, and a curve with a lower peak value is a trapezoidal pulse signal shaped without recovery from a rising edge. The specific principle and implementation method of the trapezoidal pulse shaping algorithm can refer to the prior art, and are not described herein again. It can be seen from the figure that the amplitude of the trapezoidal pulse signal after the trapezoidal pulse forming is performed after the rising edge of the double-exponential pulse signal is recovered is effectively compensated.
Referring to fig. 7, an embodiment of the present invention further provides a device 110 for recovering a rising edge of a nuclear pulse signal, which is applied to a digital nuclear instrument 100, and the device includes:
and the obtaining module 111 is configured to obtain a nuclear pulse signal to be processed.
As for the implementation of the obtaining module 111, reference may be made to the related description of step S1 in fig. 4, which is not described herein again.
A restoring module 112, configured to restore, for the to-be-processed nuclear pulse signal, a rising edge of the to-be-processed nuclear pulse signal to obtain a corresponding restored signal.
For the implementation of the recovery module 112, reference may be made to the related description of step S2 in fig. 4, which is not described herein again.
And a shaping module 113, configured to perform shaping processing on the recovered signal.
As for the implementation of the forming module 113, reference may be made to the related description of step S3 in fig. 4, which is not described herein again.
Further, the recovery module 112 is configured to input the to-be-processed nuclear pulse signal into a pre-established recovery model.
And the recovery model is further used for recovering the rising edge of the nuclear pulse signal to be processed to obtain a corresponding recovery signal.
In one embodiment, the recovery model may be:
wherein, x [ n ]]For the nuclear pulse signal to be processed,
Tsfor the sampling time interval of the digital nuclear instrument 100, τ is a slow time parameter, i.e., a falling edge portion, of the nuclear pulse signal to be processed, and θ is a fast time parameter, i.e., a rising edge portion, of the nuclear pulse signal to be processed.
The device further comprises: the model establishing module is used for establishing a nuclear pulse signal bi-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed, TsFor the sampling time interval of the digital nuclear instrument 100, τ is a slow time parameter, i.e., a falling edge portion, of the nuclear pulse signal to be processed, and θ is a fast time parameter, i.e., a rising edge portion, of the nuclear pulse signal to be processed.
Establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
Further, the model building module is used for calculating a system function according to the following formula:
it can be understood that, for the specific operation method of each functional module in this embodiment, reference may be made to the detailed description of the corresponding step in the foregoing method embodiment, and no repeated description is provided herein.
In summary, the present embodiment provides a method and an apparatus for recovering a rising edge of a nuclear pulse signal, and a digitized nuclear instrument 100. The method comprises the following steps: acquiring a nuclear pulse signal to be processed, wherein the signal to be processed has a certain rising edge; restoring the rising edge of the nuclear pulse signal to be processed aiming at the nuclear pulse signal to be processed to obtain a corresponding restored signal; and carrying out shaping processing on the recovery signal. The core pulse signal to be processed with amplitude loss is subjected to rising edge recovery, and then the recovery signal is subjected to shaping processing, so that the amplitude loss problem of the shaped core signal is improved.
In the embodiments provided in the present application, it should be understood that the disclosed apparatus and method may be implemented in other ways. The apparatus embodiments described above are merely illustrative, and for example, the flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of apparatus, methods and computer program products according to embodiments of the present application. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.
It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The above description is only a preferred embodiment of the present application and is not intended to limit the present application, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, improvement and the like made within the spirit and principle of the present application shall be included in the protection scope of the present application. It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, it need not be further defined and explained in subsequent figures.
The above description is only for the specific embodiments of the present application, but the scope of the present application is not limited thereto, and any person skilled in the art can easily conceive of the changes or substitutions within the technical scope of the present application, and shall be covered by the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.
Claims (8)
1. A method for recovering the rising edge of a nuclear pulse signal is applied to a digital nuclear instrument, and is characterized by comprising the following steps:
acquiring a nuclear pulse signal to be processed;
inputting the nuclear pulse signal to be processed into a pre-established recovery model aiming at the nuclear pulse signal to be processed;
restoring the rising edge of the nuclear pulse signal to be processed through the restoration model to obtain a corresponding restoration signal;
the recovery model is as follows:
wherein, x [ n ]]For the nuclear pulse signal to be processed,
Tstaking a sampling time interval of the digital nuclear instrument, wherein tau is a slow time parameter of the nuclear pulse signal to be processed, namely a falling edge part, and theta is a fast time parameter of the nuclear pulse signal to be processed, namely a rising edge part;
and performing trapezoidal pulse forming processing on the recovery signal based on a trapezoidal pulse forming algorithm.
2. The method according to claim 1, wherein the digitized nuclear instrument includes a differential circuit and an analog-to-digital conversion module, and the step of recovering the rising edge of the nuclear pulse signal to be processed by the recovery model to obtain a corresponding recovery signal includes:
acquiring a nuclear pulse signal to be processed, wherein the nuclear pulse signal to be processed is a double-exponential pulse signal;
converting the dual-exponent pulse signal into a dual-exponent pulse sequence through the analog-to-digital conversion module;
and restoring the rising edge of the double exponential pulse sequence through the restoration model to obtain a corresponding restoration signal.
3. The method of nuclear pulse signal rising edge recovery according to claim 1, further comprising the step of constructing the recovery model, the step comprising:
establishing a nuclear pulse signal double-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed, TsThe sampling time interval of the digital nuclear instrument is shown, tau is a falling edge signal of the nuclear pulse signal to be processed, and theta is a rising edge signal of the nuclear pulse signal to be processed;
establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
4. The method of claim 3, wherein the system function is calculated by the following formula:
5. a nuclear pulse signal rising edge recovery device applied to a digital nuclear instrument is characterized by comprising:
the acquisition module is used for acquiring a nuclear pulse signal to be processed;
the recovery module is used for inputting the nuclear pulse signal to be processed into a pre-established recovery model aiming at the nuclear pulse signal to be processed;
the recovery model is further used for recovering the rising edge of the nuclear pulse signal to be processed to obtain a corresponding recovery signal;
the recovery model is as follows:
wherein, x [ n ]]For the nuclear pulse signal to be processed,
Tsfor the sampling time interval of the digital nuclear instrument, tau is the falling edge signal of the nuclear pulse signal to be processedTheta is a rising edge signal of the nuclear pulse signal to be processed;
and the shaping module is used for carrying out trapezoidal pulse shaping processing on the recovery signal based on a trapezoidal pulse shaping algorithm.
6. The apparatus for recovering a rising edge of a nuclear pulse signal according to claim 5, further comprising:
the model establishing module is used for establishing a nuclear pulse signal bi-exponential model x [ n ]]，
Wherein A is the amplitude of the nuclear pulse signal to be processed, TsThe sampling time interval of the digital nuclear instrument is shown, tau is a falling edge signal of the nuclear pulse signal to be processed, and theta is a rising edge signal of the nuclear pulse signal to be processed;
establishing a single exponential model y [ n ] of a recovery signal]，
And performing Z transformation on the nuclear pulse signal bi-exponential model to obtain X [ Z ]:
and performing Z transformation on the recovery signal single exponential model to obtain Y [ Z ]:
wherein,
and obtaining a corresponding system function according to the X [ Z ] and the Y [ Z ], and carrying out inverse Z transformation on the system function to obtain a recovery model.
7. The apparatus according to claim 6, wherein the model building module is configured to calculate the system function according to the following formula:
8. a digital nuclear instrument, comprising: a processor, a memory and a bus, wherein the memory stores machine readable instructions executable by the processor, when a digital nuclear instrument runs, the processor and the memory communicate through the bus, and the processor executes the machine readable instructions to execute the steps of the method for recovering the rising edge of the nuclear pulse signal according to any one of claims 1 to 4.
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