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A method and system for maximally long sequence optimization for nonlinear system identification

A nonlinear system, long sequence technology, applied in the field of biomedical signal processing, can solve the problems of practical application inconvenience, mutual aliasing, and estimated nuclear slice aliasing distortion, so as to avoid overlapping distortion, improve accuracy, and improve identification accuracy. degree of effect

Inactive Publication Date: 2020-02-21
SOUTHERN MEDICAL UNIVERSITY
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Problems solved by technology

[0004] Although the above cross-correlation method is simple to calculate, since all nuclear slices are distributed on the first-order cross-correlation function, if the positions of the nuclear slices are too close, there will be mutual aliasing between adjacent nuclear slices, which will lead to estimation Aliasing and distortion caused by nuclear slicing, which brings inconvenience to practical applications

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  • A method and system for maximally long sequence optimization for nonlinear system identification
  • A method and system for maximally long sequence optimization for nonlinear system identification
  • A method and system for maximally long sequence optimization for nonlinear system identification

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[0070] Such as figure 2 As shown, a maximum long sequence optimization method for nonlinear system identification, the method specifically includes:

[0071] S1. According to the order of the preset primitive polynomial, find all the corresponding primitive polynomials under the order, so as to obtain the m-sequence corresponding to each primitive polynomial, such as M1, M2, ..., Mn;

[0072] Wherein, for the primitive polynomial described, its number can pass β=ψ(2 r -1) / r to determine, where, ψ(2 r -1) is the Euler function, defined as no more than 2 r The value of -1 is equal to 2 r -1 the number of relatively prime numbers;

[0073] S2. Enumerate the m-sequences corresponding to all primitive polynomials, and calculate the displacement function corresponding to each m-sequence;

[0074] Among them, such as image 3 As shown, for the displacement function corresponding to the above m-sequence, the calculation steps specifically include:

[0075] S21, initialization,...

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Abstract

The invention discloses a maximum length sequence optimization method and system for nonlinear system identification; the system comprises an m-sequence generating unit, a displacement function calculating unit, an allowable desirable section length calculating unit, and an optimal m-sequence selecting unit. The method comprises: generating corresponding m-sequences according to the preset order of a primitive polynomial; calculating displacement function and allowable desirable section length corresponding to each m-sequence; selecting allowable desirable section length with maximum value from the corresponding allowable desirable section lengths of all the m-sequences. By using the method and system of the invention, it is possible to effectively avoid overlap distortion possibly occurring during calculation of core sectioning, and identification accuracy is greatly improved. The maximum length sequence optimization method and system for nonlinear system identification are widely applicable to the field of biomedical signal treatment.

Description

technical field [0001] The invention relates to biomedical signal processing technology, in particular to a method and system for optimizing the longest sequence in the process of non-linear component identification of sensory nervous system (such as auditory evoked response). Background technique [0002] Auditory evoked potential (AEP) induced by transient sound stimulation is a commonly used electrical response audiometry technique, which can objectively reflect the integrity of auditory nerve pathways and related central system functions. In the identification process of AEP, since the amplitude of AEP is very small compared with the background EEG, it is necessary to use repeated stimulation and obtain it by superposition and averaging method, which can be called the linear component of AEP, which is the response to independent stimuli result. However, the actual nervous system is composed of some interconnected and interacting neurons, showing complex nonlinear charac...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): A61B5/12A61B5/04
CPCA61B5/125A61B5/72A61B5/24
Inventor 王涛陈韵儿林霖颜刚
Owner SOUTHERN MEDICAL UNIVERSITY
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