An Improved Adaptive Fast Iterative Convergence Solution Method and System

An iterative convergence and self-adaptive technology, applied in the field of number detection, can solve problems such as the inability to adjust the convergence threshold, the inability to meet the calculation requirements of real-time tasks, and the lack of development of high-order derivatives of logarithmic likelihood functions, etc.

An iterative convergence and self-adaptive technology, applied in the field of number detection, can solve problems such as the inability to adjust the convergence threshold, the inability to meet the calculation requirements of real-time tasks, and the lack of development of high-order derivatives of logarithmic likelihood functions, etc.

CN109840069BActive Publication Date: 2021-04-09YANTAI VOCATIONAL COLLEGE
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  • An Improved Adaptive Fast Iterative Convergence Solution Method and System
  • An Improved Adaptive Fast Iterative Convergence Solution Method and System
  • An Improved Adaptive Fast Iterative Convergence Solution Method and System

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Embodiment Construction

[0055] In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0056] Since the conventional iterative method is based on the principle of first-order Taylor series expansion for iterative estimation, this method only develops the second-order derivative of the log-likelihood function, and does not develop the higher-order derivative of the log-likelihood function. When the logarithm When the second-order derivative of the likelihood function is small, the parameter iteration does not converge due to the large fluctuation of the correction item. The conventional method does not set an adaptive convergence threshold, and lacks a mechanism to suppress the fluctuation of the correction it...

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Abstract

The invention belongs to the technical field of signal detection, and discloses an improved self-adaptive fast iterative convergence solution method and system, which approximates the parameter iteration process as Taylor's second-order expansion, so that the invention is not sensitive to the selection of the initial value, and is different from the traditional Compared with the method, it does not increase any computational complexity. The second and third derivatives of the logarithmic likelihood function are introduced in the correction item, that is, the slope and curvature characteristic mathematics of the logarithmic likelihood ratio function are added, so that it can be adaptive Adjusting the fluctuation of the correction term accurately, using the correlation between the second and third derivatives of the log-likelihood function, an adaptive parameter estimation threshold and an iterative convergence stopping condition are developed. The invention can not only ensure fast iteration, but also ensure convergence, and is not sensitive to the selection of the initial value.

Description

technical field [0001] The invention belongs to the technical field of number detection, and in particular relates to an improved self-adaptive fast iterative convergence solution method and system. Background technique [0002] At present, the existing technologies commonly used in the industry are as follows: [0003] The prior art close to this scheme is exactly the content described in the following paragraphs. [0004] Among the techniques related to iterative solutions, the techniques traditionally used include Newton-Raphson iterative method, scoring method, and EM method. The common feature of these methods is to select an initial value for the parameter to be estimated, and then follow the Taylor series Expand, and iteratively approach the parameters to be estimated. However, this method may cause the iteration to not converge. For example, due to the large influence of data noise, when the second-order derivative of the logarithmic likelihood function is small, t...

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Application Information

Patent Timeline
09 Apr 2021
Publication
CN109840069B
IPC
G06F7/544
Inventors
吴日恒