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Gamma_simulator

This is a gamma pulse simulator jointly developed by Shamoon College of Engineering(SCE) in Israel and Shanghai Advanced Research Institute, CAS in China. Here, we provide a brief introduction to our software, including the what and why. For more specific implementation steps of the software, please refer to Developers or our paper. Of course,if you are a pure user, please jump directly to Use to see how to use it.

Contents

Introduction

What is Gamma Simulator?

Gamma simulator is a gamma pulse simulator with a parameter customization function, you can specify the type of radioactive source and pulse count rate and other characteristics, generate pulse signals that meet the corresponding characteristics

Why do we create it?

The original intention of the gamma simulator was to introduce deep learning into energy spectroscopy in the later stage. The use of deep learning to process pulse signals requires that the collected pulse signals have corresponding labels, which is impossible in a commercial energy spectrometer. Therefore, we used the simulator to label the pulse signals while generating them, so as to facilitate the reference of deep learning methods. At the same time, simulators can greatly reduce the manpower, material and financial resources of the signal collection process, and can be used to preliminarily test signal processing methods

Parameter description

Parameter overview

Setting Parameters: type Default value
verbose Whether to output detailed information bool False
verbose_plots Whether images need to be output dict None
source The simulated radioactive source str or dict 'Co-60'
signal_len Length of time to simulate sampling (s) int or float 1024
fs Analog sampling rate (Hz, 1e6 to 1e9 are expected) float 1
lambda_value Analog pulse count rate (cps) float 0.1
dict_type Shape type model of the simulated pulse str 'gamma'
dict_shape_params dict shape params dict Please see Notice
noise_unit Unit of noise str 'std'
noise The magnitude of noise in the given unit float 0.01
dict_size Shape dictionary size due to jitter int 100
seed The simulated random number seed int None

The above parameters can be set and customized by users. The chart shows the default values of parameters and draws discrete pulse signals. The code parameters follow the standard International System of Units (SI) notation, e.g. seconds for time, Hz for frequency, etc. We also give a visual description in the parametric image. For specific parameter Settings in applications, please refer to the example section, more specific parameter Settings and parameter tests are presented in the example folder

Parametric image

paraima

  1. Pulse Shape: Representing the shape of each pulse, our simulator can simulate pulses of gamma shape and double exponential shape, as determined by the parameter dict_type, Pulse 1 is selected from the shape dictionary as shown in the image below shapes In the figure, 1.1 represents the number of pulse shapes contained in the pulse shape dictionary, as determined by the dict_size parameter, 1.2 represents the pulse length, including the pulse rise time and pulse fall time, which are determined by the dict_shape_params parameter.

  2. Pulse interval time: The time interval between two pulses, which is randomly generated by the Poisson process, is determined by the parameter lambda_value. More informally, lambda_value represents the average number of pulses arriving per second.

  3. Noise: The noise of the signal is present at every moment of the signal and is determined by the noise_unit and noise parameters. If we zoom in on 3, we get the image below noise Where the unit of noise is "std", 3.1 clearly represents the amplitude of the noise determined by the parameter noise.

Use

Install

Make sure you have the following libraries in your environment

  • numpy
  • scipy
  • matplotlib
  • urllib
    (It doesn't matter that you don't have these, because these dependencies will be installed when you install the gamma-simulator package)

Please use the following command to install our program

pip install gamma-simulator

Import

from gamma_simulator.gamma_simulator import gamma_simulator

Run

Step 1. Create an instance

simulator = gamma_simulator()

Step 2. Define parameters

simulator = gamma_simulator(verbose=True,
                            verbose_plots={'shapes': True, 'signal': True},
                            source={'name': 'Co-60', 'weights': 1},
                            signal_len=1, 
                            fs=10e5,
                            lambda_value=1e4,
                            dict_type='gamma',
                            dict_shape_params={'mean1':  0.1,
                                               'std1': 0.001,
                                               'mean2': 1e5,
                                               'std2': 1e3},
                            noise_unit='std',
                            noise=1e-3,
                            dict_size=10,
                            seed=42)

Step 3. Create the signal

signal = simulator.generate_signal()

Notice

Shape parameter

If you are not familiar with shape parameters, use the following combination of parameters

dict_type='gamma',
dict_shape_params={'mean1':  0.1,
'std1': 0.001,
'mean2': 1e5,
'std2': 1e3}

or

dict_type='double_exponential',
dict_shape_params={'mean1': 1e-5, 
'std1': 1e-7,
'mean2': 1e-7,
'std2': 1e-9}

Plot setting

Our simulator supports drawing a variety of graphs, including energy, shape, signal and spectrum.

  • Energy: Ideal energy spectrum of the drawn signal source (simulator built-in database).
  • Shape: Draw a dictionary set of all possible signal shapes.
  • Signal: When the length of the resulting signal is less than 2000, the generated signal is drawn, and when the length is greater than 2000, the first 2000 sampling points are drawn.

The default option is not to draw, if you need to draw, you need to change the specified value in the parameter definition to True

verbose_plots={'energy':True, 'shapes': True, 'signal': True}

Custom spectrum

If you are not satisfied with all the built-in databases or if you have specific elements that you would like to simulate, our simulator can also support any custom energy spectrum, specific examples and custom energy spectrum Settings can be viewed in Custom_spectrum

Example

from gamma_simulator.gamma_simulator import gamma_simulator
simulator = gamma_simulator(verbose=True,
                            verbose_plots={'shapes': True, 'signal': True},
                            source={'name': 'Co-60', 'weights': 1},
                            signal_len=1,  
                            fs=10e6,
                            lambda_value=1e4,
                            dict_type='double_exponential',
                            dict_shape_params={'mean1': 1e-5,  
                                               'std1': 1e-7,
                                               'mean2': 1e-7,
                                               'std2': 1e-9},
                            noise_unit='std',
                            noise=1e-3,
                            dict_size=10,
                            seed=42)
signal = simulator.generate_signal()

Result

result1 result2

-- General information ------------------------------------------
Loaded spectrum for Co-60 source
Energy spectrum between 0.1 and 1665.2 keV with 8192 bins
Shapes are NOT allowed to exceed the signal boundaries
Sampling frequency: 10000000.0 samples per second
Signal length is 1 sec that are 10000000 samples
Events: 10236 (randomly generated)
Activity 10000.000 event per second and actual activity is 10236.000 events per second
Normalized lambda value: 1.000e-03 events per sample
Shape model: double_exponential
Number of double_exponential shapes in the dictionary: 10
Normal shape distribution is used.
Shape parameters: tau1 = 1e-05 sec ±1.000e-07 (100.00 samples) and tau2 = 1e-07 sec ±1.000e-09 (1.00 samples) 
Each shape has a length of 6.180e-05 sec that are 618 samples
Rise time is 4.560e-07 sec and fall time is 6.134e-05 sec
Duty cycle is given by 0.62 with theoretical pile-up probability of 0.461
Actual pile-up probability is 0.470 with 5424 non-pile-up events out of 10236 events
Noise level: ±0.001 per sample
Measured SNR: 64.92 dB
Pre-defined random seed 42 is used

You can see more examples and tests in examples

Contributors

Dima Bykhovsky, Tom Trigano, Zikang Chen

Todo

  • Use simulators to generate datasets for deep learning
  • (Possibly) Try to give a way to set parameters so that users can customize them to their needs

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