A New Method of Basis Function Generation and Its Performance Analysis
Shaoqian Li
Abstract
Shaoqian Li
Abstract
A method of using double m-sequences in phase mapping during the basis function generat on is proposed in the paper.The correlation between different basis function generated by different conditions is analyzed and emulated.The basis function generated by proposed method has good correlation.The basis function's randomicity may be increased and the generation complexity could not be increased at all.The analysis and emulating shows that the randomicity of basis function is determined by the length N of m-sequence,the basis function's randomicity of two-ary method is N times by that of one-ary method.The two-ary method will increase the abilities of anti-intercepting and capturing,and then the transform domain communication system has good ability of anti-jammers.
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A method of using double m-sequences in phase mapping during the basis function generat on is proposed in the paper.The correlation between different basis function generated by different conditions is analyzed and emulated.The basis function generated by proposed method has good correlation.The basis function's randomicity may be increased and the generation complexity could not be increased at all.The analysis and emulating shows that the randomicity of basis function is determined by the length N of m-sequence,the basis function's randomicity of two-ary method is N times by that of one-ary method.The two-ary method will increase the abilities of anti-intercepting and capturing,and then the transform domain communication system has good ability of anti-jammers.
Key concepts: Basis (linear algebra), Basis function, Function (biology), Algorithm, Sequence (biology), Computer science, Mathematics, Mathematical optimization