Signal Detection Method Based on Misspecified Multi-Model Hypothesis Testing

Abstract

The invention discloses a signal detection method based on wrongly determined multi-model hypothesis testing, comprising the steps of: 1. Aiming at signal characteristics, selecting a model set without signal and a model set with signal, and describing the original model-based signal detection problem as a binary Composite hypothesis testing form; 2. Calculate the likelihood of the model set without signal; 3. Calculate the likelihood of the model set with signal according to the multi-model algorithm; 4. Calculate the middle of the model set without signal and the model set with signal Likelihood of the signal model; 5. Calculate the test statistic of the 2-SPRT decision law and compare it with the threshold to obtain the asymptotically optimal detection result. The method of the invention has simple steps and is convenient to implement, solves the problem of wrong judgment and no upper bound of stop time in the existing method, can obtain detection results with suitable average sample size and error probability, and can provide new information for the future development of detection theory The thinking, strong practicability, easy to popularize and use.

Description

technical field [0001] The invention belongs to the technical field of signal detection, and in particular relates to a signal detection method based on false-fixed multi-model hypothesis testing. Background technique [0002] The rapid development of communication theory, information theory, computer science and technology, and microelectronics technology has led to the development of signal detection theory and technology in the direction of more complex interference environments, diversified signal forms, and wider application ranges. The understanding has been greatly improved, and the problem of model-based signal detection has been widely used in many fields such as electronic information systems, biomedical engineering, aerospace engineering, pattern recognition and automatic control, especially in the field of cognitive radio spectrum sensing. prospect. In view of the particularity of this problem, the difficulty lies in the difference in the assumed distribution st...

AI Technical Summary

Problems solved by technology

[0013] The technical problem to be solved by the present invention is to provide a signal detection method based on false-fixed multi-model hypothesis testing in view of the deficiencies in the above-mentioned prior art. The problem of unbounded time can obtain detection results with appropriate average sample size and error probability, and can provide new ideas for the future development of detection theory. It has strong practicability and is easy to promote and use.

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