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Forming method and forming device of P-H multi-dimensional orthogonal matrix

An orthogonal matrix, P-H technology, applied in the field of P-H multi-dimensional orthogonal matrix-like construction devices, can solve the problems of limiting the number of channels and the number of accessible users, achieving good orthogonality, low bit error rate, and simple steps Effect

Inactive Publication Date: 2018-11-23
SUZHOU INDAL PARK INST OF SERVICES OUTSOURCING
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  • Claims
  • Application Information

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Problems solved by technology

Since the order of the Walsh matrix so far is less than 200 (n≤200), in communication technologies such as code division multiple access, the number of users will be limited by the size of the Walsh matrix, that is, the users accessing the channel The number cannot exceed 200, which to a large extent limits the number of channels and the number of accessible users in communication systems such as code division multiple access

Method used

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  • Forming method and forming device of P-H multi-dimensional orthogonal matrix
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  • Forming method and forming device of P-H multi-dimensional orthogonal matrix

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Embodiment 1

[0057] This embodiment discloses a device for forming a P-H multidimensional orthogonal matrix, including a P matrix constructor, an H matrix constructor, and a direct product operator. The P matrix constructor generates a matrix P, and the H matrix constructor generates a completely orthogonal The matrix H, the above-mentioned matrix P and matrix H are input into the direct product operator to perform the Kronecker product operation to obtain a multi-dimensional quasi-orthogonal P-H matrix.

[0058] The H matrix is ​​a square matrix composed only of elements "+1" and "-1", and it is also a completely orthogonal matrix, that is, each row (or column) in the matrix is ​​an orthogonal code group, and the lowest The H matrix is ​​of order 2, ie

[0059] The Kronecker product operation is performed on the P matrix and the second-order H matrix, namely:

[0060]

[0061] If the Kronecker product operation is performed on the P matrix and the N-order H matrix, that is

[0062]...

Embodiment 2

[0090] This embodiment discloses a method for forming a P-H multidimensional orthogonal matrix, including the following steps:

[0091] (1) Obtain matrix P and completely orthogonal matrix H, above-mentioned matrix H is Hadamard matrix;

[0092] (2) The above-mentioned matrix P and matrix H are input into the direct product operator to perform Kronecker product operation to obtain a multi-dimensional quasi-orthogonal P-H matrix.

[0093] The steps to obtain the matrix P are as follows:

[0094] (1.1) multiple BCH code original polynomials of the same group are screened, and the original polynomial f obtained by combining the screening is 1 (x), f 2 (x)... f n (x), obtain f(x) sequence: f(x)=F[f 1 (x), f 2 (x)...f n (x)]: For the same group of BCH code primitive polynomials, according to specific requirements, select one or more primitive polynomials, and combine them according to a certain functional relationship F(x) to obtain the combined polynomial f( x)=F[f 1 (x), ...

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Abstract

The invention discloses a forming method of a P-H multi-dimensional orthogonal matrix. The forming method comprises the following steps of 1, acquiring a matrix P and a complete orthogonal matrix H, wherein the matrix H is a Hadamard matrix; and 2, inputting the matrix P and the matrix H into a direct product arithmetic unit to perform kronecker product operation, thus acquiring the multi-dimensional orthogonal P-H matrix. According to the forming method of the P-H multi-dimensional orthogonal matrix provided by the invention, the formed P-H matrix is large in scale, good in orthogonal property, low in error code rate and not limited in code length, the generation of the matrix is simple in process and fast in speed, and when the matrix is used as a spreading code, the quantity of channelscan be up to 230,400 or more.

Description

technical field [0001] The invention relates to a method for forming a P-H multi-dimensional orthogonal matrix, and also relates to a device for forming a P-H multi-dimensional orthogonal matrix. The generated large-scale mixed P-H matrix can be used as a spreading code in communication systems such as CDMA. Background technique [0002] For the CDMA communication system, the four kinds of interference that affect communication are mainly local interference, intersymbol interference, multiple access interference, and leader interference. Generally speaking, if the spread spectrum sequence used in the CDMA system has better correlation characteristics, that is, the stronger the autocorrelation of the sequence and the weaker the cross-correlation, the less interference the whole system receives. Among the four types of interference mentioned above, except for local interference, the remaining three types of interference can be reduced or even eliminated by selecting spreading ...

Claims

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Application Information

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IPC IPC(8): H04J13/00
CPCH04J13/0048H04J13/004
Inventor 查艳芳殷奕刘辉陈强安峰陶文寅
Owner SUZHOU INDAL PARK INST OF SERVICES OUTSOURCING
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