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COMMUNICATION SYSTEM AND METHOD FOR ACHIEVING HIGH DATA RATES USING MODIFIED NEARLY-EQUIANGULAR TIGHT FRAME (NETF) MATRICES
COMMUNICATION SYSTEM AND METHOD FOR ACHIEVING HIGH DATA RATES USING MODIFIED NEARLY-EQUIANGULAR TIGHT FRAME (NETF) MATRICES
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机译:使用改进的近等方形紧密框架(NETF)矩阵实现高数据速率的通信系统和方法
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摘要
A method includes generating a set of symbols based on an incoming data vector. The set of symbols includes K symbols, K being a positive integer. A first transformation matrix including an equiangular tight frame (ETF) transformation or a nearly equiangular tight frame (NETF) transformation is generated, having dimensions N Χ K, where N is a positive integer and has a value less than K. A second transformation matrix having dimensions K X K is generated based on the first transformation matrix. A third transformation matrix having dimensions K X K is generated by performing a series of unitary transformations on the second transformation matrix. A first data vector is transformed into a second data vector having a length N based on the third transformation matrix and the set of symbols. A signal representing the second data vector is sent to a transmitter for transmission of a signal representing the second data vector to a receiver.
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机译:一种方法包括基于传入的数据向量生成一组符号。该组符号包括 k i>符号, k i>是正整数。产生包括等框的第一变换矩阵(ETF)变换或近二等框架(NETF)转换,具有尺寸 n i>χ k i>,其中 n i>是一个正整数,值小于 k i>。基于第一变换矩阵产生具有尺寸的第二变换矩阵 k i> x k i>。通过在第二变换矩阵上执行一系列单一的变换,产生具有尺寸的第三变换矩阵 k i> x k i>。第一数据向量被转换为基于第三变换矩阵的长度N和该组符号的第二数据向量。表示第二数据矢量的信号被发送到发送器,用于将表示第二数据向量的信号传输到接收器。
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