Digital oscilloscope with fractional-order calculus operation and display functions
A fractional-order calculus, digital oscilloscope technology, applied in digital differential analyzers, electrical digital data processing, digital data processing components, etc., can solve the problems of digital oscilloscope storage resources and limited computing power
Active Publication Date: 2021-09-10
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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[0009] However, the storage resources and computing power of digital oscilloscopes are very limited at present. At the same time, the input signals of digital oscilloscopes are collected and processed by frames, which limits figure 1 The application of the hardware architecture of the fractional calculus shown in the digital oscilloscope
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[0121] In this example, the input analog signal is a sine wave of 500KHz and an amplitude of 1V, and the pixels in the waveform display area of the digital oscilloscope are 1000 points in the horizontal direction (that is, L=1000) in a total of 10 grids (that is, X=10) and 800 points in the vertical direction. There are 10 grids in total. In the specific implementation process, the data acquisition and fractional-order calculation are realized by the FPGA model XC7K160T-2FFG676I, the ADC model is AD9628, the number of channels is 2, and the sampling rate is 100MSPS configured through the FPGA.
[0122] In this example, the time base gear T base =1μs / div and fractional order a=-0.5, that is, to perform fractional differential operation;
[0123] In this embodiment, there are four fractional operation units, that is, N=4. Table 2 is the 4 fractional operation units THD 1 ,THD 2 ,THD 3 ,THD 4 The situation of the first operation (4 system clocks):
[0124]
[0125] Ta...
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The invention discloses a digital oscilloscope with fractional-order calculus operation and display functions. A fractional-order operation module is added on the basis of the prior art, and fixed coefficients calculated according to parameters and setting of the digital oscilloscope are stored in a fixed coefficient memory; and the fixed coefficient is shifted and output to the N fractional order operation units through N-1 D trigger delay units, multiplied by the collected data and accumulated to obtain N fractional order operation results, L / N fractional order operations are performed to obtain L fractional order operation results, the L fractional order operation results are sent to a signal processing display module, and the L fractional order operation results are converted into display data through a drawing thread and sent to an LCD to be displayed. fractional-order calculus operation and display of an input signal by the digital oscilloscope are realized. Meanwhile, the N fractional-order operation units are designed by using a multiply-accumulator module, and a parallel operation mode is adopted, so that the real-time operation efficiency is improved, and the data processing time of the digital oscilloscope is greatly reduced.
Description
technical field [0001] The invention belongs to the technical field of digital oscilloscopes, and more specifically relates to a digital oscilloscope with fractional calculus calculation and display functions. Background technique [0002] In recent years, fractional calculus has become a hot research field, because scholars have found that using fractional calculus to describe the system change process is more accurate. At present, fractional calculus operations have been widely used in synovial membrane control, multidimensional chaotic systems, weak signal detection, voice encryption, digital filtering, memristor, image recognition, neuron simulation and other technical fields. [0003] The analog circuit implementation and digital implementation of fractional calculus operations play a very important role in the application research field of fractional order. The implementation of analog circuits mainly uses resistors, capacitors, inductors and operational amplifiers to...
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IPC IPC(8): G06F7/64G06F7/523G06F7/498
CPCG06F7/64G06F7/523G06F7/4983G01R13/0209G01R13/403G01R13/02
Inventor 许波白利兵程玉华黄肖宇耿航秦豪邹松庭陈凯张硕
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA