针对稀疏快速傅里叶变换(Sparse Fast Fourier Transform,SFFT)并行码相位捕获算法抗噪性能较差的问题,提出了一种新的高抗噪性快速捕获算法。该算法依据伪码相关函数峰值唯一的特点,利用降采样快速傅里叶变换(Downsampling Fast Fourie...针对稀疏快速傅里叶变换(Sparse Fast Fourier Transform,SFFT)并行码相位捕获算法抗噪性能较差的问题,提出了一种新的高抗噪性快速捕获算法。该算法依据伪码相关函数峰值唯一的特点,利用降采样快速傅里叶变换(Downsampling Fast Fourier Transform,DFFT)取代了SFFT并行码相位捕获算法中对噪声容忍能力较差的定位循环与估值循环过程来对伪码相位进行捕获,同时对算法参数进行了优化设计。理论分析及仿真结果表明,与已有的SFFT快速捕获算法相比,SFFT-DT(Combination of SFFT and DFFT)捕获算法的计算速度提升了约19%,抗噪性能提升了约5 dB。与经典的FFT捕获算法相比,当两者抗噪性能近似相同(捕获概率大于95%的前提下)时,本文算法计算量比其减少了约43%。展开更多
It is proved that if f is a Teichmuller self-mapping of the unit disk with a holomorphic quadratic deferential and satisfies the growth condition m(ψ,r)= o((1 -r)-), r→1, for any s>1, then f is extremal, and the...It is proved that if f is a Teichmuller self-mapping of the unit disk with a holomorphic quadratic deferential and satisfies the growth condition m(ψ,r)= o((1 -r)-), r→1, for any s>1, then f is extremal, and there exists a sequence {tn}, 0<tn<1, /lim, tn =1, such that {(tnz)} is a Hamilton sequence. It is the precision of a theorem of Reich-Strebel in 1974, and gives a fairly satisfactory answer to a question of Reich in 1988.展开更多
文摘针对稀疏快速傅里叶变换(Sparse Fast Fourier Transform,SFFT)并行码相位捕获算法抗噪性能较差的问题,提出了一种新的高抗噪性快速捕获算法。该算法依据伪码相关函数峰值唯一的特点,利用降采样快速傅里叶变换(Downsampling Fast Fourier Transform,DFFT)取代了SFFT并行码相位捕获算法中对噪声容忍能力较差的定位循环与估值循环过程来对伪码相位进行捕获,同时对算法参数进行了优化设计。理论分析及仿真结果表明,与已有的SFFT快速捕获算法相比,SFFT-DT(Combination of SFFT and DFFT)捕获算法的计算速度提升了约19%,抗噪性能提升了约5 dB。与经典的FFT捕获算法相比,当两者抗噪性能近似相同(捕获概率大于95%的前提下)时,本文算法计算量比其减少了约43%。
基金the National Natural Science Foundation of China!(No.19531060), the DoctoralProgram Fundation of the Ministry of Education o
文摘It is proved that if f is a Teichmuller self-mapping of the unit disk with a holomorphic quadratic deferential and satisfies the growth condition m(ψ,r)= o((1 -r)-), r→1, for any s>1, then f is extremal, and there exists a sequence {tn}, 0<tn<1, /lim, tn =1, such that {(tnz)} is a Hamilton sequence. It is the precision of a theorem of Reich-Strebel in 1974, and gives a fairly satisfactory answer to a question of Reich in 1988.