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Construction method of multi-dimensional similar-orthogonal pseudo-random extended matrix

An extended matrix, pseudo-random technology, applied in multiplexing communication, code division multiplexing systems, electrical components, etc., can solve the problems of complex and cumbersome engineering implementation

Inactive Publication Date: 2010-06-23
NANJING NORMAL UNIVERSITY
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Problems solved by technology

[0007] For a DS-CDMA system, its address code and scrambling code use different sequence generators, so the engineering implementation is more complicated and cumbersome

Method used

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  • Construction method of multi-dimensional similar-orthogonal pseudo-random extended matrix
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  • Construction method of multi-dimensional similar-orthogonal pseudo-random extended matrix

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Embodiment Construction

[0064] The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments.

[0065] The method of the invention is to screen and combine the original polynomials, and obtain the M matrix after the combined polynomials undergo group transformation and numerical conversion.

[0066] In the M matrix generated by the above method, there are not only vectors with relatively good class orthogonality, but also vectors with relatively poor class orthogonality. Therefore, according to the actual requirements of engineering applications, we need to select the vectors with better class orthogonality through the method of threshold filtering.

[0067] According to the above requirements, the present invention proposes a first-stage comb filter that can independently set the threshold, so as to find out the set of row vectors or column vectors whose cross-correlation coefficient is smaller than the threshold, and form a comb filter...

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Abstract

The invention discloses a construction method of a multi-dimensional similar-orthogonal pseudo-random extended matrix, which comprises the steps of screening and combining primitive polynomials of f1(x), f2(x), ..., fn(x), then carrying out group transformation and numerical conversion, constructing a similar-orthogonal pseudo-random matrix M, then passing through a comb filter with the thresholdof sigma 1, selecting a code group with good relevance and constructing a matrix PN; and then selecting another group of f1'(x), f2'(x), ..., fn'(x), screening, combining, carrying out the group transformation for obtaining a matrix M', then passing through the comb filter with the threshold of sigma 2 which is equal to 0, selecting the completely orthogonal code group, constructing a PN' matrix,finally carrying out direct product operation on the previously produced PN matrix and the completely orthogonal PN' matrix, and obtaining an MSPE matrix PN-PN' after extension. The MSPE matrix PN-PN' after extension through the method has the orthogonal property which is similar to the Walsh matrix, when the MSPE matrix PN-PN' after extension is applied in a CDMA system, the MSPE matrix PN-PN' can obtain the effects which are similar to those of the Walsh matrix. Meanwhile, the size of the matrix is different with the Walsh matrix which is limited by the order of 2, and can be arbitrary value.

Description

technical field [0001] The invention relates to a method for forming a multi-dimensional orthogonal pseudo-random expansion matrix. The multi-dimensional similar-orthogonal pseudo-random expansion matrix (Multi-dimensional Similar-orthogonal Pseudo-random Expansion) matrix (MSPE matrix for short) is a kind of matrix that can be applied to A spreading code in a CDMA communication system belongs to the technical field of mobile communication. Background technique [0002] For the CDMA system, it mainly has four kinds of interferences: local interference, intersymbol interference, multiple access interference, and leading channel interference. Generally speaking, when the correlation characteristics of the spread spectrum sequence in the CDMA system are better, that is, the autocorrelation of the sequence is stronger and the cross-correlation is weaker, the less interference the system receives. Among the various interferences received by the CDMA system, except the local inte...

Claims

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Application Information

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IPC IPC(8): H04J13/04
Inventor 殷奎喜查艳芳赵华闾国年
Owner NANJING NORMAL UNIVERSITY
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