关键词: 小波分解, 浮点数编码, 遗传算法, 消噪变异

Abstract: Genetic algorithm（GA） is used widely to many fields.Coding is one of difficult issues of GA research.Floating Point Presentation（FPR） is of the advantage of higher precision and convenience of searching in great space.FPR is superior to other codes in function optimization and restriction optimization.But the noises are neglected by researches which are generated by FPR in genetic environment.Basing on wavelet decomposition，the noises are mapped to Haar basis，algorithm is made with denoising mutation，the algorithm is implemented by programming.The results of the research and the experiments indicate the method is superior to other algorithms，is reliable in theory，is feasible in technique.

Key words: wavelet decomposition, Floating Point Representation（FPR）, Genetic Algorithm（GA）, denoising mutation