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提出了一种用穷举法产生类正交矩阵的方法,简单实用。因其具有和沃尔什矩阵类似的正交特性,故可以用它代替沃尔什序列用于码分多址移动通信(CDMA,Code Division Multiple Access)、多载波CDMA等系统中。研究发现通过穷举法得到的类正交矩阵数量远远超过同样大小的沃尔什矩阵(只有一个),且大小也大于同样列数的沃尔什矩阵,当用于CDMA系统时,能够大大提高用户数量,并且实现简单方便,所以与沃尔什矩阵相比,这种类正交矩阵具有更为广泛的实用价值。
A method of generating class orthogonal matrix by exhaustive method is proposed, which is simple and practical. Because it has the similar orthogonality to the Walsh matrix, it can be used instead of Walsh sequences in systems such as Code Division Multiple Access (CDMA), multi-carrier CDMA and so on. The study found that the number of class orthogonal matrices obtained by the exhaustive method far exceeds that of the same size Walsh matrix (only one) and larger than the same number of Walsh matrices, which can be much larger when used in a CDMA system Improve the number of users, and achieve simple and convenient, so compared with the Walsh matrix, this kind of orthogonal matrix has a more extensive practical value.