WO2008020624A1 - Code sequence allocation method - Google Patents

Code sequence allocation method Download PDF

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Publication number
WO2008020624A1
WO2008020624A1 PCT/JP2007/066019 JP2007066019W WO2008020624A1 WO 2008020624 A1 WO2008020624 A1 WO 2008020624A1 JP 2007066019 W JP2007066019 W JP 2007066019W WO 2008020624 A1 WO2008020624 A1 WO 2008020624A1
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Prior art keywords
sequence
code
code sequence
cell
cells
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PCT/JP2007/066019
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French (fr)
Japanese (ja)
Inventor
Tomofumi Takata
Takashi Iwai
Daichi Imamura
Sadaki Futagi
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Panasonic Corporation
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Publication of WO2008020624A1 publication Critical patent/WO2008020624A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W28/00Network traffic management; Network resource management
    • H04W28/16Central resource management; Negotiation of resources or communication parameters, e.g. negotiating bandwidth or QoS [Quality of Service]

Definitions

  • the present invention relates to a code sequence allocation method used in a cellular radio communication system.
  • a ZCZ (Zero Correlation Zone) —GCL system IJ which is a subset of the GCL sequence and expressed by the following equation (1), is expressed as s [Fixed m, FFT (Fast Fourier Transform; Since the correlation calculation can be performed by the block configuration and the calculation amount of the reception processing can be reduced, it is a particularly strong candidate as a code sequence used in the cellular radio communication system.
  • N 0, 1, ..., N - in 1 set (1)
  • N denotes the sequence length
  • N s X m 2 ( s, m are integers)
  • N t X m (t, m is (Integer) and consists of a non-prime integer.
  • r indicates the sequence number, and consists of an integer that is relatively prime to N.
  • a (k) represents a carrier sequence and is a ZC sequence power expressed by the following equation (2).
  • q is an arbitrary integer.
  • b. (K) represents the modulation sequence and is represented by the following DFT (Discrete Fourier Transform) system lj represented by equation (3) below or equation (4) below. It consists of the Hadamard series.
  • DFT Discrete Fourier Transform
  • Non-Patent Document 1 ZCZ-GCL sequence allocation methods disclosed in Non-Patent Document 1 are being studied in cellular radio communication systems.
  • Non-Patent Document 1 discloses a method for assigning a ZCZ-GCL sequence used as a random access preamble signal.
  • FIG. 1 is a diagram illustrating an example of allocation of ZCZ-GCL sequences disclosed in Non-Patent Document 1. .
  • ZCZ-GCL sequences with closer sequence numbers are allocated to the same cell (Cell).
  • ZCZ—GCL series IJs with series IJ numbers 1, 3, 5, 9,..., 31 are assigned to Senole # 1 to # 7, two at a time.
  • Non-Patent Document 1 3GPP, R1- 0661816, Huawei, "Expanded sets of ZCZ- GCL random access preambles
  • Non-Patent Document 1 since the ZCZ—GCL sequence allocation method disclosed in Non-Patent Document 1 described above considers only intra-cell interference and not inter-cell interference, it suppresses inter-cell interference. I can't.
  • the maximum cross-correlation between the Z CZ—GCL sequence with sequence number 1 assigned to cell # 1 and the ZCZ—GCL sequence with sequence number 29 assigned to cell # 7 is ⁇ (28 XN), more than 5 times.
  • Non-Patent Document 1 The GCL sequence allocation method cannot minimize intra-cell interference. For example, as shown in Fig. 1, when assigning sequence # 19 to cell # 5 and sequence ⁇ IJ of sequence number 23, the maximum cross-correlation value of these two sequences is (4 XN). When the sequence number 19 and the sequence number 45 are assigned to # 5, the difference between the sequence numbers of the two sequences increases, but the maximum cross-correlation value becomes smaller, and f (2 XN).
  • An object of the present invention is to provide a code sequence allocation method that can suppress inter-cell interference and reduce intra-cell interference. Means for solving the problem
  • the code sequence allocating method of the present invention is a code sequence in which ZCZ—GCL code sequence C ⁇ k) shown in the above equation (1) is allocated to! / Of a plurality of cells constituting a cellular radio communication system.
  • r of each of the code sequences already allocated to a plurality of second cells adjacent to the first cell is relatively prime.
  • FIG. 1 is a diagram showing an example of ZCZ-GCL sequence allocation according to the prior art.
  • FIG. 2 is a diagram showing the relationship between the greatest common divisor between the sequence number difference and the sequence length of the code sequence and the maximum cross-correlation value of the code sequence according to the present invention.
  • FIG. 4 is a diagram for explaining a code sequence allocation method for the cellular radio communication system according to the first embodiment of the present invention.
  • FIG. 5 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 1 of the present invention.
  • FIG. 6 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to Embodiment 1 of the present invention.
  • FIG. 7 is a diagram for explaining a code sequence allocation method for a cellular radio communication system according to a second embodiment of the present invention.
  • FIG. 8 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 2 of the present invention.
  • FIG. 9 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to Embodiment 2 of the present invention.
  • FIG. 10 is a diagram for explaining a code sequence allocation method of a cellular radio communication system according to a third embodiment of the present invention.
  • FIG. 11 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 3 of the present invention.
  • FIG. 12 is a diagram for explaining a code sequence allocation method for a cellular radio communication system according to a fourth embodiment of the present invention.
  • FIG. 13 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 4 of the present invention.
  • the code sequence allocation method includes a greatest common divisor between a sequence number difference and a sequence length of a ZCZ-GCL sequence whose sequence length is not a prime number, which has been solved by the computer simulation of the present inventors.
  • FIG. 2 is a diagram showing the relationship between the greatest common divisor between the sequence number difference of the code sequence and the sequence length, and the maximum cross-correlation value of the code sequence. This figure is a result obtained by the present inventors performing a computer simulation.
  • Fig. 2A shows the greatest common divisor between sequence number differences and sequence lengths.
  • the horizontal axis indicates the difference between the sequence numbers of the code sequences
  • the vertical axis indicates the greatest common divisor between the difference between the sequence numbers and the sequence length.
  • FIG. 2B is a diagram showing the maximum cross-correlation value of the code sequence corresponding to the difference in the sequence number of the code sequence.
  • the horizontal axis indicates the difference between the sequence numbers of the code sequences
  • the vertical axis indicates the maximum cross-correlation value of the code sequences corresponding to this difference.
  • the change in the greatest common divisor corresponding to the difference in the sequence numbers of the code sequences is almost the same as the change in the maximum cross-correlation value.
  • FIG. 3 shows the simulation results shown in FIG. 2 in numerical values.
  • the first column and the second column indicate the sequence numbers r and r of the two code sequences, respectively.
  • the fourth column shows the maximum cross-correlation value of the two code sequences.
  • the fifth column shows the greatest common divisor between the sequence number difference and the sequence length, that is, GCD (I r -r
  • the code sequence is transmitted to the cellular radio communication so that the greatest common divisor between the sequence number difference and the sequence length of the code sequence is minimized using the relationship shown in Equation (5). Assign to each cell in the system to reduce the maximum cross-correlation value between code sequences. As a result, inter-cell interference can be suppressed and intra-cell interference can also be reduced.
  • FIG. 4 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to the present embodiment. Here, an example of a cellular radio communication system using cells # 1 to # 19 is shown.
  • code sequences of sequence numbers r to r are already assigned to the codes # 2 to # 7 adjacent to the code # 1 (hereinafter referred to as code sequences r to r). Is assigned
  • FIG. 5 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
  • N indicates the sequence length
  • K indicates the number of cells adjacent to Senole # 1.
  • the variable Min is the difference between the sequence number of the code sequence assigned to cell # 1 and each of the sequence numbers r 1, r 2,.
  • a set of code sequences having a sequence number that is relatively prime to 2 7 is set as a candidate set of code sequences to be assigned to cell # 1, and any one of the candidate sets that has not yet been selected is selected. .
  • a variable is set using the sequence number of the selected candidate code sequence.
  • the value of variable Sum is compared with the value of variable Min. In this step, if it is determined that the value of the variable Sum is greater than or equal to the value of the variable Min (ST104: NO), the allocation procedure proceeds to ST106. On the other hand, when it is determined in ST104 that the value of variable Sum is smaller than the value of variable Min (ST104: YES), the allocation procedure proceeds to ST105.
  • variable Min is updated using the value of the variable Sum
  • variable r is updated using the value of the variable r.
  • ST106 it is determined whether all candidate code sequences to be assigned to cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST106: NO), the allocation procedure returns to ST102. On the other hand, if it is determined that all candidate code sequences have been selected (ST106: YES), a code sequence having the value of variable r as the sequence number is assigned to cell # 1.
  • FIG. 6 shows the result of code sequence allocation performed using the code sequence allocation method according to the present embodiment. It is a figure which shows an example of a fruit.
  • the sequence numbers of code sequences already assigned to a plurality of cells are relatively prime to each other, and each of the code sequences already assigned to the plurality of cells.
  • a code sequence having a sequence number that minimizes the sum of the greatest common divisors of the difference from the sequence number and the sequence length is assigned to one cell adjacent to all of the cells. For this reason, according to the present embodiment, it is possible to suppress inter-cell interference.
  • the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described.
  • the maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value.
  • the lower the greatest common divisor between the sequence number difference and the sequence length the lower the maximum cross-correlation value.
  • the greatest common divisor between the difference and the sequence length is equivalent to the largest cross-correlation value.
  • the code sequence assigned to the cellular radio communication system is not limited to the force S, ZCZ- GCL system IJ described as an example of the ZC Z-GCL sequence, and the sequence length is not a prime number. Even when the ZC sequence is assigned to the cellular radio communication system, the code sequence assignment method according to the present embodiment may be applied. In such a case, the same effect as in the present embodiment can be obtained.
  • FIG. 7 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to Embodiment 2 of the present invention. Here, an example of a cellular wireless communication system using cells # 1 to 19 is shown.
  • FIG. 8 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
  • N indicates the sequence length
  • K indicates the number of cells adjacent to cell # 1
  • L indicates the number of code sequences assigned to each cell
  • K XL indicates the number of all code sequences assigned to the cell adjacent to cell # 1
  • LX (L— 1) / 2! Indicates two combinations of code sequences assigned to each cell.
  • the variable Min is a sequence number of each of the two code sequences assigned to cell # 1, and each of the sequence numbers r 1, r 2,.
  • variables r and r are set using the sequence numbers of the two selected candidate code sequences.
  • the greatest common divisor Gcdl is calculated, and according to the following equation (8), each of the variables r and r and r 1, r 2,. Calculate the minimum value Gcd2 of the greatest common divisor between the difference between each and the sequence length N.
  • Gcdl GCD (
  • Gcd2 min (GCD (
  • the calculated Gcdl and Gcd2 are compared to determine whether or not it is GcdKGc d2. If Gcdl ⁇ Gcd2 is determined (ST203: NO), the allocation procedure returns to ST202. On the other hand, if it is determined that Gcdl ⁇ Gcd2 (ST203: YES), the allocation procedure proceeds to ST204.
  • Sum2 is equal to Gc dl calculated in ST203.
  • ST206 it is determined whether or not the sum of the variable Suml and the variable Sum2 is smaller than the value of the variable Min. If it is determined that the sum of the variable Suml and the variable Sum2, that is, (Suml + Sum2) is greater than or equal to the value of the variable Min (ST206: NO), the allocation procedure proceeds to ST208. On the other hand, if the variable Suml and the variable Sum2 are determined from the value of the local variable Min, / J ⁇ and half IJ (ST206: YES), the allocation procedure proceeds to ST207.
  • ST208 it is determined whether all candidate code sequences to be assigned to cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST208: NO), the allocation procedure returns to ST202. On the other hand If it is determined that all candidate code sequences have been selected (ST208: YES), the values of variables r and r
  • r are relatively prime, and the greatest common between the difference between each of the sequence numbers r 1, r 2,.
  • Sequence number r, r, ⁇ ⁇ , r The sequence number is the sum of the greatest common divisors of the difference between each and the sequence length N
  • R and r are the sequence numbers that minimize the result of adding the greatest common divisor of the difference between them and the sequence length N.
  • FIG. 9 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to the present embodiment.
  • the cell numbers # 2 to # 7 adjacent to cell # 1 are already assigned to the series number S, respectively 439, 309, 359, 197, 127, 121, 85, 303,
  • Series number is it
  • each of the sequence numbers of all the code sequences assigned to the plurality of cells A plurality of prime numbers that are relatively prime and have the greatest common divisor of the difference between them and the sequence length smaller than the greatest common divisor of the difference between each of the sequence numbers of all the code sequences and the sequence length.
  • the greatest common divisor of the difference between the sequence numbers and the sequence length is added to the sum of the greatest common divisors of the sequence numbers and the difference between each of the sequence numbers of all the code sequences and the sequence length.
  • the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described.
  • the maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. That is, each of the sequence numbers of code sequences assigned to a plurality of cells has a sequence number that is relatively prime, and the mutual value is greater than the maximum cross-correlation value between all of the code sequences assigned to the cells.
  • the maximum cross-correlation value is smaller than the sum of the maximum cross-correlation values of each of the above-described code sequences, and the maximum cross-correlation value is the smallest.
  • one code system ⁇ IJr is allocated to cell # 1, and then r 1, r 2, r assigned to harmful IJ , ..., based on r
  • another code sequence r may be assigned to cell # 1.
  • R is the greatest common divisor of the difference between each other and the sequence length N, and the sequence number r
  • code sequences r and r are assigned to cells # 1 and # 2, respectively.
  • r and r are relatively prime to each other, and the difference between r and r is
  • # 1 or # 2 is assigned to the smaller of the difference between r and r and the greatest common divisor of sequence length N
  • NX (KXL) XL + NX (LX (L— 1) / 2!) NX 6 X 2 X 2 + You may initialize it to a value larger than N.
  • FIG. 10 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to Embodiment 3 of the present invention.
  • a cellular wireless communication system using cells # 1 to 19 is shown.
  • Each cell according to the present embodiment is divided into a central area and a peripheral area.
  • the central area refers to the area near the base station in the cell
  • the peripheral area refers to the area near the boundary line with the adjacent cell in the cell.
  • code sequences r to r are already assigned in order to the central area and the peripheral area of each cell of senoele # 2 to # 7 adjacent to senore # 1.
  • FIG. 11 is a flowchart showing a procedure of the code sequence assignment method of the cellular radio communication system according to the present embodiment.
  • N indicates the sequence length
  • K indicates the number of cells adjacent to cell # 1.
  • the Mini uses the sequence number of the code sequence assigned to the peripheral area of cell # 1 and the sequence number r 1, r 2 , r 2 ,.
  • Min2 is the sequence number of the code sequence assigned to the area surrounding cell # 1 and cell # This variable stores the difference between the sequence number of the code sequence assigned to the central area of 1 and the minimum value of the greatest common divisor with the sequence length N.
  • a candidate set of series, and any one of the candidate sets that has not yet been selected select select.
  • a variable is set using the sequence number of the selected candidate code sequence.
  • variable Mini is updated using the value of the variable Suml, and the variable r
  • ST306 it is determined whether or not all candidate code sequences to be allocated to the peripheral area of cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST306: NO), the allocation procedure returns to ST302. On the other hand, if it is determined that all candidate code sequences have been selected (ST306: YES), the code sequence with sequence number r is assigned to the peripheral area of cell # 1, and the process proceeds to ST307.
  • a candidate set of code sequences r to be assigned to the rear is selected, and any one of the candidate sets that has not yet been selected in this step is selected.
  • a variable is set using the sequence number of the selected candidate code sequence.
  • GCD (I r -r
  • variable Min2 is updated using the value of variable Sum2
  • variable r is updated using the value of variable rxl.
  • a code sequence having a sequence number r that minimizes the greatest common divisor between the difference from r and the sequence length is assigned to the central area of cell # 1.
  • the sequence numbers of the code sequences already assigned to the peripheral areas of the plurality of cells are relatively prime to each other and are already in the peripheral areas of the plurality of cells.
  • a code sequence having a sequence number that minimizes the sum of the greatest common divisors of the difference between the sequence number of the assigned code sequence and the sequence length is assigned to the peripheral area of one cell adjacent to the plurality of cells, Further, a code sequence having a sequence number that minimizes the greatest common divisor between the sequence number of the code sequence assigned to the peripheral area of the one cell and the sequence length is assigned to the central area of the one cell. For this reason, according to the present embodiment, it is possible to suppress both inter-cell interference and intra-cell interference.
  • code sequences have already been assigned to the peripheral area and the central area of a plurality of cells, and the peripheral area and the central area of one cell adjacent to the plurality of cells.
  • code sequences When a code sequence is assigned to each cell, only the code sequence assigned to the peripheral area of those cells is considered, and the code system is assigned to the peripheral area of that one cell.
  • a code sequence After assigning a column, a code sequence is assigned to the central area of that cell, considering only the code sequence assigned to the surrounding area of that cell. For this reason, according to the present embodiment, it is possible to reduce the amount of calculation in the allocation procedure.
  • the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described.
  • the maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value.
  • a code sequence that minimizes the sum of is assigned to the peripheral area of one cell adjacent to these cells, and the sequence number that is relatively prime to the sequence number of the code series assigned to the peripheral area of that one cell
  • This code can also be implemented by assigning a code sequence that has a number and has the smallest maximum cross-correlation value with the code sequence assigned to the surrounding area of that cell to the center area of that cell.
  • code sequences have already been allocated to the cell peripheral area.
  • the code sequence assignment method according to the present embodiment may be applied as a method of assigning a code sequence based on a parameter indicating propagation loss (eg, CQI (Channel Quality Information)).
  • a parameter indicating propagation loss eg, CQI (Channel Quality Information)
  • the code sequence allocation method for the surrounding area is applied as the code sequence allocation method when the propagation loss is large
  • the code sequence allocation method for the center area is used as the code sequence allocation method when the propagation loss is small.
  • FIG. 12 is a diagram for explaining a code sequence assignment method of the cellular radio communication system according to the fourth embodiment of the present invention.
  • a code sequence assignment method of the cellular radio communication system according to the fourth embodiment of the present invention.
  • an example of a cellular wireless communication system using cells # 1 to 19 is shown.
  • FIG. 13 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
  • indicates the sequence length
  • indicates the number of cells adjacent to cell # 1
  • (K + l) ⁇ / 2! Indicates two combinations of ⁇ + 1 code sequence.
  • the variable Min is a variable that stores the minimum value of the sum of the greatest common divisors of the difference between the sequence numbers of the code sequences assigned to the cells # 1 to # 7 and the sequence length N.
  • variable Min is updated using the value of variable Sum, and variable r
  • each of a plurality of code sequences in which the sequence numbers are relatively prime and the sum of the greatest common divisors of the difference between the sequence numbers and the sequence length is minimized.
  • the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described.
  • the maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. That is, by assigning each of a plurality of code sequences whose sequence numbers are relatively prime and the sum of mutual maximum cross-correlation values is minimized to each of a plurality of cells adjacent to each other, Similarly, inter-cell interference can be suppressed.
  • the greatest common divisor between the code sequences assigned to these two cells and the difference between each of the code sequences assigned to these two cells and the sequence length N is relatively prime.
  • a code sequence having a sequence number that minimizes the sum of is assigned to one cell adjacent to these two cells.
  • the force variable Min described as an example of initializing to NX (K + l) ⁇ ⁇ / 2! ⁇ ⁇ 7 ⁇ 6/2! It may be initialized to a larger value.
  • the code sequence allocation method according to the present invention can be applied to a cellular radio communication system or the like.

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Abstract

Disclosed is a code sequence allocation method capable of suppressing inter-cell interference and reducing in-cell interference when allocating a ZCZ-GCL code sequence for each cell. In this method, if a code sequence of sequence numbers r2, r3, …, r7 have been allocated for cells #2 to #7, a code sequence having a sequence number r1 which is relatively prime to r2, r3, …, r7 and wherein the total of the greatest common measures between a difference from each of r2, r3, …, r7 and the sequence length N is minimum is allocated for the cell #1 adjacent to the cells #2 to #7.

Description

明 細 書  Specification
符号系列割当方法  Code sequence allocation method
技術分野  Technical field
[0001] 本発明は、セルラ無線通信システムに用いられる符号系列割当方法に関する。  [0001] The present invention relates to a code sequence allocation method used in a cellular radio communication system.
背景技術  Background art
[0002] 現在, 3GPP RAN LTE (Long Term Evolution)では,セルラ無線通信システムのラ ンダムアクセス用のプリアンブル信号、下り同期用信号、上り/下りチャネル推定用 パイロット信号として用いる符号系列について盛んに議論されている。セルラ無線通 信システムでは、セル内の異なる移動局間の干渉(セル内干渉)、および異なるセル 間における移動局間の干渉 (セル間干渉)を低減するために、符号系列の良好な自 己相関特性および相互相関特性が要求されている。このような要求を満たす符号系 歹 IJとして、 ZC (Zadoff-Chu)系列および GCL (Generalized Chirp-Like)系列などが有 力な候補となっている。  [0002] Currently, in 3GPP RAN LTE (Long Term Evolution), code sequences used as a random access preamble signal, downlink synchronization signal, and uplink / downlink channel estimation pilot signal in a cellular radio communication system are actively discussed. ing. In cellular radio communication systems, good self-code sequences are used to reduce interference between different mobile stations in a cell (intra-cell interference) and between mobile stations between different cells (inter-cell interference). Correlation characteristics and cross-correlation characteristics are required. ZC (Zadoff-Chu) sequences and GCL (Generalized Chirp-Like) sequences are good candidates for code systems that satisfy these requirements.
[0003] その中でも、 GCL系列のサブセットであって下記の式(1)で表される ZCZ (Zero Co rrelation Zone)—GCL系歹 IJについては、 s [固の m 、 FFT (Fast Fourier Transform; ブロックの構成により相関演算を行うことができ、受信処理の演算量を低減することが できるため、セルラ無線通信システムに用いられる符号系列として特に有力な候補と なっている。  [0003] Among them, a ZCZ (Zero Correlation Zone) —GCL system IJ, which is a subset of the GCL sequence and expressed by the following equation (1), is expressed as s [Fixed m, FFT (Fast Fourier Transform; Since the correlation calculation can be performed by the block configuration and the calculation amount of the reception processing can be reduced, it is a particularly strong candidate as a code sequence used in the cellular radio communication system.
國 cr (ん) = r(k) bt (k mod m), ( ) Country c r (n) = r (k) b t (k mod m), ()
= 0, 1,...,N - 1 式(1)において、 Nは系列長を示し、 N = s X m2 (s、 mは整数)、または N = t X m (t 、 mは整数)で表され、素数でない整数からなる。 rは系列番号を示し、 Nと互いに素 である整数からなる。 a (k)は、キャリア系列を示し、下記の式(2)で表される ZC系列 力 なる。
Figure imgf000003_0001
式(2)において、 qは任意の整数である。また、式(1)において、 b.(k)は、変調系列 を示し、下記の式(3)で表される DFT (Discrete Fourier Transform)系歹 lj、または下 記の式(4)で表される Hadamard系列からなる。
= 0, 1, ..., N - in 1 set (1), N denotes the sequence length, N = s X m 2 ( s, m are integers), or N = t X m (t, m is (Integer) and consists of a non-prime integer. r indicates the sequence number, and consists of an integer that is relatively prime to N. a (k) represents a carrier sequence and is a ZC sequence power expressed by the following equation (2).
Figure imgf000003_0001
In the formula (2), q is an arbitrary integer. Also, in equation (1), b. (K) represents the modulation sequence and is represented by the following DFT (Discrete Fourier Transform) system lj represented by equation (3) below or equation (4) below. It consists of the Hadamard series.
[数 3] b.(k) = Wl„k, [Equation 3] b. (K) = Wl „ k ,
k = 0,\,...,N - I ( 3 )  k = 0, \, ..., N-I (3)
i = 07l,..., m - \ i = 0 7 l, ..., m-\
Figure imgf000003_0002
Figure imgf000003_0002
0,1,.. N - 1 ( 4 )  0,1, .. N-1 (4)
i = 0丄…, —1  i = 0 丄…, —1
[0004] 一般的に、系列長が素数の整数からなる ZC系列については、任意の 2つの系列番 号の差と系列長とは常に素であって、 2つの系列の相互相関の振幅値は^ Nとなり、 セル内干渉またはセル間干渉は一定のレベルに抑えられる。 [0004] In general, for a ZC sequence whose sequence length is a prime integer, the difference between any two sequence numbers and the sequence length are always prime, and the amplitude value of the cross-correlation between the two sequences is ^ N, so intra-cell interference or inter-cell interference is suppressed to a certain level.
[0005] し力、し、上記の式(1)に示す ZCZ— GCL系列の系列長は素数でないため、任意の  [0005] Since the sequence length of the ZCZ-GCL sequence shown in Equation (1) above is not a prime number,
2つの系列番号の差と系列長とは常に素であるとは限らない。よって、任意の 2つの 系列の相互相関の最大振幅値 (最大相互相関値)は より大きくなる場合があり、 セル内干渉およびセル間干渉が増加してしまう。このような問題を回避するため、セ ルラ無線通信システムにおいては、非特許文献 1に開示される ZCZ— GCL系列の 割当方法が検討されている。  The difference between the two sequence numbers and the sequence length are not always prime. Therefore, the maximum amplitude value of the cross-correlation between any two sequences (maximum cross-correlation value) may become larger, increasing intra-cell interference and inter-cell interference. In order to avoid such problems, ZCZ-GCL sequence allocation methods disclosed in Non-Patent Document 1 are being studied in cellular radio communication systems.
[0006] 非特許文献 1は、ランダムアクセスのプリアンブル信号として用いられる ZCZ— GC L系列の割当方法を開示する。  [0006] Non-Patent Document 1 discloses a method for assigning a ZCZ-GCL sequence used as a random access preamble signal.
[0007] 図 1は、非特許文献 1に開示されている ZCZ— GCL系列の割当例を示す図である 。この図においては、系列長 Nが N = 448である場合を例にとる。 N = 448である場 合、 Nと素である系歹 IJ番号 rは r= l , 3, 5, 9, 11 , 13, 15, 17, · · · , 447となり、 rの 数分の ZCZ— GCL系列が生成される。図 1に示すように、 rの数分の ZCZ— GCL系 列のうち、系列番号がより近い ZCZ— GCL系列を同一セル(Cell)に割り当てる。す なわち、系歹 IJ番号 1 , 3, 5, 9, · · · , 31の ZCZ— GCL系歹 IJを 1噴番に 2つずつ、セノレ # 1〜# 7に割り当てる。 FIG. 1 is a diagram illustrating an example of allocation of ZCZ-GCL sequences disclosed in Non-Patent Document 1. . In this figure, the case where the sequence length N is N = 448 is taken as an example. If N = 448, the system あ る IJ number r that is prime with N is r = l, 3, 5, 9, 11, 13, 15, 17, ..., 447, and ZCZ for the number of r — A GCL series is generated. As shown in Fig. 1, among the ZCZ-GCL sequences for the number r, ZCZ-GCL sequences with closer sequence numbers are allocated to the same cell (Cell). In other words, ZCZ—GCL series IJs with series IJ numbers 1, 3, 5, 9,..., 31 are assigned to Senole # 1 to # 7, two at a time.
[0008] このように、非特許文献 1に開示する ZCZ— GCL系列の割当方法においては、系 列番号が近いほど ZCZ— GCL系列の相互相関がより小さいという ZCZ— GCL系列 の特性に基づき、系列番号が近い系列を同一のセルに配置する。  [0008] Thus, in the ZCZ-GCL sequence allocation method disclosed in Non-Patent Document 1, based on the characteristics of the ZCZ-GCL sequence that the cross-correlation of the ZCZ-GCL sequence is smaller as the sequence number is closer, Sequences with similar sequence numbers are placed in the same cell.
非特許文献 1 : 3GPP, R1- 061816, Huawei, "Expanded sets of ZCZ- GCL random access preambles  Non-Patent Document 1: 3GPP, R1- 0661816, Huawei, "Expanded sets of ZCZ- GCL random access preambles
発明の開示  Disclosure of the invention
発明が解決しょうとする課題  Problems to be solved by the invention
[0009] しかしながら、上記の非特許文献 1に開示されている ZCZ— GCL系列の割当方法 は、セル内干渉のみを考慮し、セル間干渉を考慮していないため、セル間干渉を抑 えることができない。例えば、図 1において、セル # 1に割り当てられた系列番号 1の Z CZ— GCL系列と、セル # 7に割り当てられた系列番号 29の ZCZ— GCL系列との最 大相互相関値は^ (28 X N)となり、 の 5倍以上となる。  [0009] However, since the ZCZ—GCL sequence allocation method disclosed in Non-Patent Document 1 described above considers only intra-cell interference and not inter-cell interference, it suppresses inter-cell interference. I can't. For example, in Figure 1, the maximum cross-correlation between the Z CZ—GCL sequence with sequence number 1 assigned to cell # 1 and the ZCZ—GCL sequence with sequence number 29 assigned to cell # 7 is ^ (28 XN), more than 5 times.
[0010] また、同一のセルに系列番号が近い 2つの ZCZ— GCL系列を割り当てたとしても、 その最大相互相関値は必ずしも常に小さいとは限らないため、非特許文献 1に開示 されている ZCZ— GCL系列の割当方法は、セル内干渉を最小にすることができない 。例えば、図 1に示すように、セル # 5に系列番号 19の系列および系列番号 23の系 歹 IJを割り当てる場合、この 2つの系列の最大相互相関値が (4 X N)となるに対し、 セル # 5に系列番号 19の系列および系列番号 45の系列を割り当てる場合、この 2つ の系列の系列番号の差は大きくなるものの、最大相互相関値がより小さくなり、 f {2 X N)となる。  [0010] Further, even if two ZCZ-GCL sequences having similar sequence numbers are assigned to the same cell, the maximum cross-correlation value is not always small, and therefore ZCZ disclosed in Non-Patent Document 1 — The GCL sequence allocation method cannot minimize intra-cell interference. For example, as shown in Fig. 1, when assigning sequence # 19 to cell # 5 and sequence 系 IJ of sequence number 23, the maximum cross-correlation value of these two sequences is (4 XN). When the sequence number 19 and the sequence number 45 are assigned to # 5, the difference between the sequence numbers of the two sequences increases, but the maximum cross-correlation value becomes smaller, and f (2 XN).
[0011] 本発明の目的は、セル間干渉を抑えることができるとともに、セル内干渉も小さくす ることができる符号系列割当方法を提供することである。 課題を解決するための手段 An object of the present invention is to provide a code sequence allocation method that can suppress inter-cell interference and reduce intra-cell interference. Means for solving the problem
[0012] 本発明の符号系列割当方法は、上記式(1)に示す ZCZ— GCL符号系列 C^k)を 、セルラ無線通信システムを構成する複数のセルの!/、ずれかに割り当てる符号系列 割当方法であって、前記式(1)により生成される符号系列 C (k)のうち、第 1セルに隣 接する複数の第 2セルにすでに割り当てられた符号系列各々の rと互いに素であって 、かつ、前記複数の第 2セルにすでに割り当てられた符号系列各々の rとの差と Nと の最大公約数の総和が最小となる rを有する第 1符号系列を前記第 1セルに割り当て るよつにした。 [0012] The code sequence allocating method of the present invention is a code sequence in which ZCZ—GCL code sequence C ^ k) shown in the above equation (1) is allocated to! / Of a plurality of cells constituting a cellular radio communication system. In the allocation method, among the code sequences C (k) generated by the above equation (1), r of each of the code sequences already allocated to a plurality of second cells adjacent to the first cell is relatively prime. And a first code sequence having r that minimizes the sum of the greatest common divisors of N and the difference between each of the code sequences already allocated to the plurality of second cells. I made it.
発明の効果  The invention's effect
[0013] 本発明によれば、セル間干渉を抑えることができるとともに、セル内干渉も小さくす ること力 Sでさる。  [0013] According to the present invention, it is possible to suppress inter-cell interference and reduce the intra-cell interference with a force S.
図面の簡単な説明  Brief Description of Drawings
[0014] [図 1]従来技術に係る ZCZ— GCL系列の割当例を示す図  [0014] FIG. 1 is a diagram showing an example of ZCZ-GCL sequence allocation according to the prior art.
[図 2]本発明に係る符号系列の系列番号の差と系列長との最大公約数と、符号系列 の最大相互相関値との関係を示す図  FIG. 2 is a diagram showing the relationship between the greatest common divisor between the sequence number difference and the sequence length of the code sequence and the maximum cross-correlation value of the code sequence according to the present invention.
[図 3]図 1に示すシミュレーション結果を数 で示した図  [Fig.3] Number of simulation results shown in Fig. 1
[図 4]本発明の実施の形態 1に係るセルラ無線通信システムの符号系列割当方法を 説明するための図  FIG. 4 is a diagram for explaining a code sequence allocation method for the cellular radio communication system according to the first embodiment of the present invention.
[図 5]本発明の実施の形態 1に係るセルラ無線通信システムの符号系列割当方法の 手順を示すフロー図  FIG. 5 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 1 of the present invention.
[図 6]本発明の実施の形態 1に係る符号系列割当方法を用いて符号系列割当を行つ た結果の一例を示す図  FIG. 6 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to Embodiment 1 of the present invention.
[図 7]本発明の実施の形態 2に係るセルラ無線通信システムの符号系列割当方法を 説明するための図  FIG. 7 is a diagram for explaining a code sequence allocation method for a cellular radio communication system according to a second embodiment of the present invention.
[図 8]本発明の実施の形態 2に係るセルラ無線通信システムの符号系列割当方法の 手順を示すフロー図  FIG. 8 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 2 of the present invention.
[図 9]本発明の実施の形態 2に係る符号系列割当方法を用いて符号系列割当を行つ た結果の一例を示す図 [図 10]本発明の実施の形態 3に係るセルラ無線通信システムの符号系列割当方法を 説明するための図 FIG. 9 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to Embodiment 2 of the present invention. FIG. 10 is a diagram for explaining a code sequence allocation method of a cellular radio communication system according to a third embodiment of the present invention.
[図 11]本発明の実施の形態 3に係るセルラ無線通信システムの符号系列割当方法 の手順を示すフロー図  FIG. 11 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 3 of the present invention.
[図 12]本発明の実施の形態 4に係るセルラ無線通信システムの符号系列割当方法を 説明するための図  FIG. 12 is a diagram for explaining a code sequence allocation method for a cellular radio communication system according to a fourth embodiment of the present invention.
[図 13]本発明の実施の形態 4に係るセルラ無線通信システムの符号系列割当方法 の手順を示すフロー図  FIG. 13 is a flowchart showing a procedure of a code sequence allocation method for a cellular radio communication system according to Embodiment 4 of the present invention.
発明を実施するための最良の形態  BEST MODE FOR CARRYING OUT THE INVENTION
[0015] 本発明に係る符号系列割当方法は、本発明者らの計算機シミュレーションにより解 明された、系列長が素数でない ZCZ— GCL系列の系列番号の差と系列長との最大 公約数と、 ZCZ— GCL系列最大相互相関値との関係に基づく。まず、上記の最大 公約数と最大相互相関値との関係について説明する。以下の説明においては、 ZC Z— GCL系列を符号系列と省略する。  [0015] The code sequence allocation method according to the present invention includes a greatest common divisor between a sequence number difference and a sequence length of a ZCZ-GCL sequence whose sequence length is not a prime number, which has been solved by the computer simulation of the present inventors. ZCZ—Based on the relationship with the GCL sequence maximum cross-correlation value. First, the relationship between the greatest common divisor and the largest cross-correlation value will be explained. In the following description, the ZC Z—GCL sequence is abbreviated as a code sequence.
[0016] 図 2は、符号系列の系列番号の差と系列長との最大公約数と、符号系列の最大相 互相関値との関係を示す図である。この図は、本発明者らが計算機シミュレーション を行って得られた結果である。図 2Aは、系列番号の差と系列長との最大公約数を示 す図である。図 2Aにおいて、横軸は、符号系列の系列番号の差を示し、縦軸は、こ の系列番号の差と系列長との最大公約数を示す。図 2Bは、符号系列の系列番号の 差に対応する、符号系列の最大相互相関値を示す図である。図 2Bにおいて、横軸 は、符号系列の系列番号の差を示し、縦軸は、この差に対応する符号系列の最大相 互相関値を示す。図 2に示すように、符号系列の系列番号の差に対応する、最大公 約数の変化の様子と最大相互相関値の変化の様子とはほぼ一致している。  FIG. 2 is a diagram showing the relationship between the greatest common divisor between the sequence number difference of the code sequence and the sequence length, and the maximum cross-correlation value of the code sequence. This figure is a result obtained by the present inventors performing a computer simulation. Fig. 2A shows the greatest common divisor between sequence number differences and sequence lengths. In FIG. 2A, the horizontal axis indicates the difference between the sequence numbers of the code sequences, and the vertical axis indicates the greatest common divisor between the difference between the sequence numbers and the sequence length. FIG. 2B is a diagram showing the maximum cross-correlation value of the code sequence corresponding to the difference in the sequence number of the code sequence. In FIG. 2B, the horizontal axis indicates the difference between the sequence numbers of the code sequences, and the vertical axis indicates the maximum cross-correlation value of the code sequences corresponding to this difference. As shown in Fig. 2, the change in the greatest common divisor corresponding to the difference in the sequence numbers of the code sequences is almost the same as the change in the maximum cross-correlation value.
[0017] 図 3は、図 2に示すシミュレーション結果を数値で示したものである。図 3において、 1列目および 2列目は、それぞれ 2つの符号系列の系列番号 rおよび rを示す。ここ  FIG. 3 shows the simulation results shown in FIG. 2 in numerical values. In FIG. 3, the first column and the second column indicate the sequence numbers r and r of the two code sequences, respectively. here
1 2  1 2
で、 rと rとは互いに素である。 3列目はこれらの 2つの系列番号の差 | r—r |を示 And r and r are relatively prime. The third column shows the difference between these two sequence numbers | r−r |
1 2 1 2 し、 4列目は、 2つの符号系列の最大相互相関値を示す。 5列目は、系列番号の差と 系列長との最大公約数、すなわち、 GCD ( I r -r | , Ν)を示し、 6列目は、 ^ (系 列番号の差と系列長との最大公約数) (系列長)、すなわち、 (GCD ( I r -r 1 2 1 2 and the fourth column shows the maximum cross-correlation value of the two code sequences. The fifth column shows the greatest common divisor between the sequence number difference and the sequence length, that is, GCD (I r -r |, Ν), and the sixth column is ^ (system Greatest common divisor between column number difference and sequence length) (sequence length), ie (GCD (I r -r
1 2 1 2
I , N) ) X ^Nの値を示す。この図に示すように、符号系列の系列番号が互いに素 である場合、系列番号の差と系列長との最大公約数と、最大相互相関値とは等しくな り、よって、下記の式(5)が得られる。 I, N)) Indicates the value of X ^ N. As shown in this figure, when the sequence numbers of the code sequences are relatively prime, the greatest common divisor between the sequence number difference and the sequence length is equal to the maximum cross-correlation value. ) Is obtained.
最大相互相関値 = ^ (系列番号の差と系列長との最大公約数) (系列長) · ' ·(5 Maximum cross-correlation value = ^ (greatest common divisor between sequence number difference and sequence length) (sequence length) · '· (5
) )
[0018] 従って、本発明においては、式(5)に示すような関係を用い、符号系列の系列番号 の差と系列長との最大公約数が最小となるように、符号系列をセルラ無線通信システ ムの各セルに割り当てて、符号系列間の最大相互相関値を小さくする。これにより、 セル間干渉を抑えることができるとともに、セル内干渉も小さくすることができる。  Accordingly, in the present invention, the code sequence is transmitted to the cellular radio communication so that the greatest common divisor between the sequence number difference and the sequence length of the code sequence is minimized using the relationship shown in Equation (5). Assign to each cell in the system to reduce the maximum cross-correlation value between code sequences. As a result, inter-cell interference can be suppressed and intra-cell interference can also be reduced.
[0019] 以下、本発明の実施の形態について、添付図面を参照して詳細に説明する。  Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings.
[0020] (実施の形態 1)  [0020] (Embodiment 1)
図 4は、本実施の形態に係るセルラ無線通信システムの符号系列割当方法を説明 するための図である。ここでは、セル # 1〜 # 19を用いてセルラ無線通信システムの 一例を示す。  FIG. 4 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to the present embodiment. Here, an example of a cellular radio communication system using cells # 1 to # 19 is shown.
[0021] 本実施の形態においては、図 4に示すように、セノレ # 1に隣接するセノレ # 2〜# 7 にすでに系列番号 r〜rの符号系列(以下、符号系列 r〜rと称す)が割り当てられ  In the present embodiment, as shown in FIG. 4, code sequences of sequence numbers r to r are already assigned to the codes # 2 to # 7 adjacent to the code # 1 (hereinafter referred to as code sequences r to r). Is assigned
2 7 2 7  2 7 2 7
、これらセル # 2〜# 7に割り当てられた符号系列に基づき、セル # 1に符号系列 r を割り当てる方法を説明する。  Based on the code sequences assigned to the cells # 2 to # 7, a method for assigning the code sequence r to the cell # 1 will be described.
[0022] 図 5は、本実施の形態に係るセルラ無線通信システムの符号系列割当方法の手順 を示すフロー図である。 FIG. 5 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
[0023] まず、ステップ(以下、「ST」と記す) 101において、変数 Sum、 r、 rを「0」に初期 化し、変数 Minを N X K = N X 6に初期化する。ここで、 Nは系列長を示し、 Kはセノレ # 1に隣接するセルの数を示す。本実施の形態では、変数 Minは、セル # 1に割り当 てる符号系列の系列番号と系列番号 r , r , · · · , r各々との差と、系列長 Nとの最大  First, in step (hereinafter referred to as “ST”) 101, variables Sum, r, and r are initialized to “0”, and variable Min is initialized to N X K = N X 6. Here, N indicates the sequence length, and K indicates the number of cells adjacent to Senole # 1. In the present embodiment, the variable Min is the difference between the sequence number of the code sequence assigned to cell # 1 and each of the sequence numbers r 1, r 2,.
2 3 7  2 3 7
公約数の総和の最小値を保存する変数である。任意の 2つの系列番号の差と系列 長 Nとの最大公約数は常に Nより小さいため、例えば系列長 Nが 448である場合、変 数 Minを 448 X 6 = 2688に初期ィ匕する。 [0024] 次いで、 ST102において、セル # 2〜# 7にすでに割り当てられた符号系歹 IJr〜r This variable stores the minimum sum of common divisors. Since the greatest common divisor between the difference between any two sequence numbers and the sequence length N is always smaller than N, for example, when the sequence length N is 448, the variable Min is initialized to 448 X 6 = 2688. [0024] Next, in ST102, code systems 歹 IJr to r already assigned to cells # 2 to # 7
2 7 と互いに素である系列番号を有する符号系列からなる集合を、セル # 1に割り当てる 符号系列の候補集合とし、候補集合の中から、まだ選択されたことがない任意の 1つ を選択する。このステップにおいては、選択された候補符号系列の系列番号を用い て、変数 を設定する。  A set of code sequences having a sequence number that is relatively prime to 2 7 is set as a candidate set of code sequences to be assigned to cell # 1, and any one of the candidate sets that has not yet been selected is selected. . In this step, a variable is set using the sequence number of the selected candidate code sequence.
[0025] 次いで、 ST103において、変数 rと系列番号 r (i = 2, 3, · · · , 7)との差と、系列長 [0025] Next, in ST103, the difference between the variable r and the sequence number r (i = 2, 3, ···, 7) and the sequence length
Nとの最大公約数の総和を算出し、算出結果を変数 Sumに代入する。すなわち、下 記の式(6)に示す計算を行う。 Calculate the sum of the greatest common divisor with N and assign the result to the variable Sum. That is, the calculation shown in the following formula (6) is performed.
[数 5コ  [Number 5
Sum = GCD(\ rx -ri \,N) … ( 6 ) Sum = GCD (\ r x - ri \, N)… ( 6 )
[0026] 次いで、 ST104において、変数 Sumの値と変数 Minの値とを比較する。このステツ プにお!/、て変数 Sumの値が変数 Minの値以上であると判定される場合(ST104: N 〇)、割当手順は ST106に進む。一方、 ST104において、変数 Sumの値が変数 Mi nの値より小さいと判定される場合(ST104 :YES)、割当手順は ST105に進む。 Next, in ST104, the value of variable Sum is compared with the value of variable Min. In this step, if it is determined that the value of the variable Sum is greater than or equal to the value of the variable Min (ST104: NO), the allocation procedure proceeds to ST106. On the other hand, when it is determined in ST104 that the value of variable Sum is smaller than the value of variable Min (ST104: YES), the allocation procedure proceeds to ST105.
[0027] 次いで、 ST105において、 変数 Sumの値を用いて変数 Minを更新し、変数 rの 値を用いて変数 rを更新する。  [0027] Next, in ST105, the variable Min is updated using the value of the variable Sum, and the variable r is updated using the value of the variable r.
[0028] 次いで、 ST106において、セル # 1に割り当てる候補符号系列のすべてが選択さ れたか否かを判定する。このステップにおいて、すべての候補符号系列が選択され な力、つたと判定される場合(ST106 : NO)、割当手順は、 ST102戻る。一方、すべて の候補符号系列が選択されたと判定される場合(ST106 : YES)、変数 rの値を系 列番号とする符号系列をセル # 1に割り当てる。  [0028] Next, in ST106, it is determined whether all candidate code sequences to be assigned to cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST106: NO), the allocation procedure returns to ST102. On the other hand, if it is determined that all candidate code sequences have been selected (ST106: YES), a code sequence having the value of variable r as the sequence number is assigned to cell # 1.
[0029] 上記のように、図 5に示す割当手順においては、セル # 2〜# 7にすでに割り当てら れた符号系列の系列番号 r , r , · · · , r各々と互いに素であって、系列番号 r , r , · · ·  [0029] As described above, in the assignment procedure shown in FIG. 5, the sequence numbers r 1, r 2,..., R of code sequences already assigned to cells # 2 to # 7 are relatively prime. , Series number r, r,
2 3 7 2 3 2 3 7 2 3
, r各々の差と系列長 Nとの最大公約数の総和が最小となる系列番号 rを有する符 号系列をセル # 1に割り当てることにより、セル間干渉を抑える。 , r By assigning to cell # 1 a code sequence having sequence number r that minimizes the sum of the greatest common divisors of the differences between each and sequence length N, inter-cell interference is suppressed.
[0030] 図 6は、本実施の形態に係る符号系列割当方法を用いて符号系列割当を行った結 果の一例を示す図である。 FIG. 6 shows the result of code sequence allocation performed using the code sequence allocation method according to the present embodiment. It is a figure which shows an example of a fruit.
[0031] 図 6 ίこ示すよう ίこ、セノレ # 2〜# 7それぞれ ίこすで ίこ、 443、 179、 163、 295、 215 、 67それぞれを系列番号とする符号系列が割り当てられた場合、図 5のフロー図に 示す手順に従い、 rの算出を行うと、 r = 69の結果が得られる。すなわち、系列番号 69の符号系列をセル # 1に割り当てれば、セル間干渉が最小となる。  [0031] Fig. 6 As shown, ί and senore # 2 to # 7 are each assigned a code sequence with sequence numbers 443, 179, 163, 295, 215 and 67, respectively. If r is calculated according to the procedure shown in the flowchart of Fig. 5, the result of r = 69 is obtained. That is, if the code sequence with sequence number 69 is assigned to cell # 1, inter-cell interference is minimized.
[0032] このように、本実施の形態によれば、複数のセルにすでに割り当てられた符号系列 各々の系列番号と互いに素であって、それら複数のセルにすでに割り当てられた符 号系列各々の系列番号との差と系列長との最大公約数の総和が最小となる系列番 号を有する符号系列を、それら複数のセルすべてに隣接する 1つのセルに割り当て る。このため、本実施の形態によれば、セル間干渉を抑えることができる。  [0032] Thus, according to the present embodiment, the sequence numbers of code sequences already assigned to a plurality of cells are relatively prime to each other, and each of the code sequences already assigned to the plurality of cells. A code sequence having a sequence number that minimizes the sum of the greatest common divisors of the difference from the sequence number and the sequence length is assigned to one cell adjacent to all of the cells. For this reason, according to the present embodiment, it is possible to suppress inter-cell interference.
[0033] なお、本実施の形態では、符号系列の系列番号の差と系列長との最大公約数を算 出し、算出された最大公約数に基づき、符号系列を割り当てる方法を説明したが、上 記の式(5)に示す符号系列間の最大相互相関値を算出し、算出された最大相互相 関値に基づき、符号系列を割り当てても良い。式 (5)に示すように、系列番号の差と 系列長との最大公約数が低くなるほど、最大相互相関値もより低くなるため、セル間 干渉およびセル内干渉を表すのにおいて、系列番号の差と系列長との最大公約数 と、最大相互相関値とは等価である。従って、複数のセルにすでに割り当てられた符 号系列各々の系列番号と互いに素である系列番号を有し、それら複数のセルにすで に割り当てられた符号系列各々との最大相互相関値の総和が最小となる符号系列を 、それら複数のセルすべてに隣接する 1つのセルに割り当てることによつても、本実 施の形態と同様にセル間干渉を抑えることができる。  In the present embodiment, the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described. The maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. As shown in Equation (5), the lower the greatest common divisor between the sequence number difference and the sequence length, the lower the maximum cross-correlation value. The greatest common divisor between the difference and the sequence length is equivalent to the largest cross-correlation value. Therefore, the sum of the maximum cross-correlation values with the sequence numbers that are relatively prime to the sequence numbers of the code sequences already assigned to the plurality of cells and the code sequences already assigned to the plurality of cells. By assigning the code sequence that minimizes to one cell adjacent to all of the plurality of cells, inter-cell interference can be suppressed as in the present embodiment.
[0034] また、本実施の形態では、セルラ無線通信システムに割り当てる符号系列として ZC Z— GCL系列を例にとって説明した力 S、 ZCZ— GCL系歹 IJに限定されず、系列長が 素数でない他の ZC系列をセルラ無線通信システムに割り当てる場合でも、本実施の 形態に係る符号系列割当方法を適用しても良い。かかる場合、本実施の形態と同様 の ¾]果を得ること力できる。  [0034] Further, in the present embodiment, the code sequence assigned to the cellular radio communication system is not limited to the force S, ZCZ- GCL system IJ described as an example of the ZC Z-GCL sequence, and the sequence length is not a prime number. Even when the ZC sequence is assigned to the cellular radio communication system, the code sequence assignment method according to the present embodiment may be applied. In such a case, the same effect as in the present embodiment can be obtained.
[0035] また、本実施の形態では、 ST101において変数 Minを N X K = N X 6に初期化す る場合を例にとって説明した力 変数 Minを N X K = N X 6より大きい値に初期化し ても良い。 In this embodiment, the force variable Min is initialized to a value larger than NXK = NX 6 described in ST101 as an example when the variable Min is initialized to NXK = NX 6 in ST101. May be.
[0036] (実施の形態 2) [0036] (Embodiment 2)
図 7は、本発明の実施の形態 2に係るセルラ無線通信システムの符号系列割当方 法を説明するための図である。ここでは、セル #1〜; 19を用いてセルラ無線通信シス テムの一例を示す。  FIG. 7 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to Embodiment 2 of the present invention. Here, an example of a cellular wireless communication system using cells # 1 to 19 is shown.
[0037] 本実施の形態においては、図 7に示すように、セノレ #1に隣接するセノレ #2〜#7 の各セルにすでに、符号系列 r〜r の 2つずつが順番に割り当てられ、これらセル  In the present embodiment, as shown in FIG. 7, two code sequences r to r are already assigned in order to each cell of senor # 2 to # 7 adjacent to senor # 1. These cells
3 14  3 14
#2〜# 7に割り当てられた符号系列に基づき、 2つの符号系列 r、 rをセル #1に割  Based on the code sequences assigned to # 2 to # 7, two code sequences r and r are assigned to cell # 1.
1 2  1 2
り当てる方法を説明する。  Explain how to do this.
[0038] 図 8は、本実施の形態に係るセルラ無線通信システムの符号系列割当方法の手順 を示すフロー図である。 FIG. 8 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
[0039] まず、 ST20: こおレヽて、変数 r 、r 、 Gcdl、 Gcd2、 Suml、 Sum2、 r、 rを「0」  [0039] First, ST20: This time, variables r, r, Gcdl, Gcd2, Suml, Sum2, r, r are set to "0".
xl x2 1 2 に初期化し、変数 Minを NX (KXL) XL + NX (LX (L— 1)/2! ) =NX6X2X 2 + Nに初期化する。ここで、 Nは系列長を示し、 Kはセル # 1に隣接するセルの数を 示し、 Lは各セルに割り当てる符号系列の数を示す。 K XLはセル #1に隣接するセ ルに割り当てられたすべての符号系列の数を示し、 LX (L— 1)/2!は各セルに割 り当てる符号系列の 2つずつの組合せを示す。本実施の形態では、変数 Minは、セ ル #1に割り当てる 2つの符号系列の系列番号各々と系列番号 r , r , ···, r 各々と  xl x2 1 2 and the variable Min is initialized to NX (KXL) XL + NX (LX (L— 1) / 2!) = NX6X2X 2 + N. Here, N indicates the sequence length, K indicates the number of cells adjacent to cell # 1, and L indicates the number of code sequences assigned to each cell. K XL indicates the number of all code sequences assigned to the cell adjacent to cell # 1, LX (L— 1) / 2! Indicates two combinations of code sequences assigned to each cell. In the present embodiment, the variable Min is a sequence number of each of the two code sequences assigned to cell # 1, and each of the sequence numbers r 1, r 2,.
3 4 14 の差と系列長 Nとの最大公約数の総和に、セル 1に割り当てる 2つの符号系列の系 列番号の差と系列長 Nとの最大公約数を加算した結果の最小値を保存する変数で ある。  3 4 Save the minimum value of the sum of the greatest common divisor between the difference of 14 and the sequence length N and the difference between the sequence numbers of the two code sequences assigned to cell 1 and the greatest common divisor of the sequence length N It is a variable to do.
[0040] 次いで、 ST202において、セル #2〜# 7にすでに割り当てられた符号系列 r〜r  [0040] Next, in ST202, code sequences r to r already assigned to cells # 2 to # 7
3 1 と互いに素である系列番号を有する符号系列からなる集合を、セル # 1に割り当て 3 Assign a set of code sequences with sequence numbers that are relatively prime to 1 to cell # 1
4 Four
る符号系列の候補集合とし、候補集合の中から、まだ選択されたことがない任意の 2 つを選択する。このステップにおいては、選択された 2つの候補符号系列の系列番 号を用いて、変数 r 、r を設定する。  Select any two of the candidate sets that have not yet been selected. In this step, variables r and r are set using the sequence numbers of the two selected candidate code sequences.
xl x2  xl x2
[0041] 次いで、 ST203において、下記の式(7)に従い、変数 r 、r の差と系列長 Nとの  [0041] Next, in ST203, according to the following equation (7), the difference between the variables r and r and the sequence length N
xl x2  xl x2
最大公約数 Gcdlを算出し、下記の式(8)に従い、変数 r 、r 各々と、 r , r , ···, r 各々との差と系列長 Nとの最大公約数のうちの最小値 Gcd2を算出する。 The greatest common divisor Gcdl is calculated, and according to the following equation (8), each of the variables r and r and r 1, r 2,. Calculate the minimum value Gcd2 of the greatest common divisor between the difference between each and the sequence length N.
Gcdl=GCD( | r -r | , Ν) …(7)  Gcdl = GCD (| r -r |, Ν)… (7)
xl x2  xl x2
Gcd2 = min(GCD( | r -r | , N) , GCD( | r -r | , N))  Gcd2 = min (GCD (| r -r |, N), GCD (| r -r |, N))
xl i x2 i  xl i x2 i
ただし、 i = 3, 4, ·'·14 '··(8)  Where i = 3, 4, ··· 14 '· (8)
さらに、このステップにおいては、算出された Gcdlと Gcd2とを比較し、 GcdKGc d2である否かを判定する。 Gcdl≥Gcd2と判定される場合(ST203:NO)、割当手 順は ST202に戻る。一方、 Gcdl<Gcd2と判定される場合(ST203:YES)、割当 手順は ST204に進む。  Further, in this step, the calculated Gcdl and Gcd2 are compared to determine whether or not it is GcdKGc d2. If Gcdl≥Gcd2 is determined (ST203: NO), the allocation procedure returns to ST202. On the other hand, if it is determined that Gcdl <Gcd2 (ST203: YES), the allocation procedure proceeds to ST204.
[0042] 次いで、 ST204において、下記の式(9)に従い、変数 r 、 r と、系列番号 r〜r [0042] Next, in ST204, according to the following equation (9), variables r and r and sequence numbers r to r
xl x2 3 14 それぞれとの差と系列長 Nとの最大公約数の総和 Sumlを計算する。  xl x2 3 14 Calculate the sum Suml of the greatest common divisors of the difference between each and the sequence length N.
[数 6]  [Equation 6]
Suml = ¾ (GCD(\ rxl -η |, Ν) + GCD{\ rx2 - η |), Ν) … ( 9 ) Suml = ¾ (GCD (\ r xl -η |, Ν) + GCD {\ r x2 -η |), Ν)… ( 9 )
[0043] 次いで、 ST205において、下記の式(10)に従い、変数 r と r との差と、系列長 N [0043] Next, in ST205, according to the following equation (10), the difference between the variables r and r and the sequence length N
xl x2  xl x2
との最大公約数 Sum2を計算する。ここで、 Sum2は ST203において算出された Gc dlと等しい値となる。  And calculate the greatest common divisor Sum2. Here, Sum2 is equal to Gc dl calculated in ST203.
Sum2 = GCD( | r -r | , N) ---(10)  Sum2 = GCD (| r -r |, N) --- (10)
xl x2  xl x2
[0044] 次いで、 ST206において、変数 Sumlと変数 Sum2との総和が変数 Minの値より 小さいか否かを判定する。変数 Sumlと変数 Sum2との総和、すわなち、(Suml + S um2)が変数 Minの値以上であると判定される場合(ST206: NO)、割当手順は ST 208に進む。一方、変数 Sumlと変数 Sum2との^禾ロカ変数 Minのィ直より/ Jヽさいと半 IJ 定される場合(ST206: YES)、割当手順は ST207に進む。  [0044] Next, in ST206, it is determined whether or not the sum of the variable Suml and the variable Sum2 is smaller than the value of the variable Min. If it is determined that the sum of the variable Suml and the variable Sum2, that is, (Suml + Sum2) is greater than or equal to the value of the variable Min (ST206: NO), the allocation procedure proceeds to ST208. On the other hand, if the variable Suml and the variable Sum2 are determined from the value of the local variable Min, / J ヽ and half IJ (ST206: YES), the allocation procedure proceeds to ST207.
[0045] 次いで、 ST207において、(Suml + Sum2)を用いて変数 Minを更新し、変数 r  Next, in ST207, the variable Min is updated using (Suml + Sum2), and the variable r
xl xl
、 r の値を用いて変数 r、 rを更新する。 Update the variables r and r with the values of r and r.
x2 1 2  x2 1 2
[0046] 次いで、 ST208において、セル # 1に割り当てる候補符号系列のすべてが選択さ れたか否かを判定する。このステップにおいて、すべての候補符号系列が選択され な力、つたと判定される場合(ST208:NO)、割当手順は、 ST202に戻る。一方、すべ ての候補符号系列が選択されたと判定される場合(ST208 : YES)、変数 r、 rの値 [0046] Next, in ST208, it is determined whether all candidate code sequences to be assigned to cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST208: NO), the allocation procedure returns to ST202. On the other hand If it is determined that all candidate code sequences have been selected (ST208: YES), the values of variables r and r
1 2 それぞれを系列番号とする 2つの符号系列をセル # 1に割り当てる。  1 2 Assign two code sequences, each with a sequence number, to cell # 1.
[0047] 上記のように、図 8に示す割当手順においては、セル # 2〜# 7それぞれに対し符 号系列 r , r , · · · , r の 2つずつがすでに割り当てられた場合は、系列番号 r , r , …[0047] As described above, in the assignment procedure shown in FIG. 8, when two code sequences r 1, r 2,. Sequence number r, r,…
3 4 14 3 43 4 14 3 4
, r と互いに素であって、系列番号 r , r , · · · , r 各々との差と系列長 Nとの最大公, r are relatively prime, and the greatest common between the difference between each of the sequence numbers r 1, r 2,.
14 3 4 14 14 3 4 14
約数よりも、互いの差と系列長 Nとの最大公約数がより小さくなる r、 rであって、かつ  R, r, where the greatest common divisor of the difference between each other and the sequence length N is smaller than the divisor, and
1 2  1 2
、系列番号 r , r , · · · , r 各々との差と系列長 Nとの最大公約数の総和に、系列番号  , Sequence number r, r, · ·, r The sequence number is the sum of the greatest common divisors of the difference between each and the sequence length N
3 4 14  3 4 14
間の差と系列長 Nとの最大公約数を加算した結果が最小となる r、 rを系列番号とす  R and r are the sequence numbers that minimize the result of adding the greatest common divisor of the difference between them and the sequence length N.
1 2  1 2
る 2つの符号系列をセル # 1に割り当てる。これにより、セル内干渉およびセル間干 渉の双方を抑えることができる。  Assign two code sequences to cell # 1. As a result, both intra-cell interference and inter-cell interference can be suppressed.
[0048] 図 9は、本実施の形態に係る符号系列割当方法を用いて符号系列割当を行った結 果の一例を示す図である。  [0048] FIG. 9 is a diagram showing an example of a result of code sequence allocation using the code sequence allocation method according to the present embodiment.
[0049] 図 9に示すように、セル # 1に隣接するセル # 2〜# 7の各セルにすでに、系列番 号力 Sそれぞれ 439, 309, 359, 197, 127, 121 , 85, 303, 247, 313, 19, 53で ある符号系列の 2つずつが順番に割り当てられた場合、図 8のフロー図が示す手順 に従い、 r、 rの算出を行うと r = 349、 r = 283の結果が得られる。系列番号がそれ  [0049] As shown in FIG. 9, the cell numbers # 2 to # 7 adjacent to cell # 1 are already assigned to the series number S, respectively 439, 309, 359, 197, 127, 121, 85, 303, When two code sequences of 247, 313, 19, 53 are assigned in order, r and r are calculated according to the procedure shown in the flow chart of Fig. 8, and r = 349 and r = 283 are obtained. Is obtained. Series number is it
1 2 1 2  1 2 1 2
ぞれ 349、 283である 2つの符号系列をセル # 1に割り当てると、セル内干渉および セル間干渉が最小となる。  If two code sequences of 349 and 283 are assigned to cell # 1, intra-cell interference and inter-cell interference are minimized.
[0050] なお、本実施の形態では、各セルに 2つの符号系列を割り当てる場合を例にとって 説明したが、これに基づき、各セルに 3つ以上の符号系列を割り当てる場合の符号 系列割当方法を類推することもできる。  [0050] In the present embodiment, the case where two code sequences are assigned to each cell has been described as an example. However, based on this, a code sequence assignment method in the case where three or more code sequences are assigned to each cell is described. An analogy can be made.
[0051] このように、本実施の形態によれば、複数のセルそれぞれに対し複数の符号系列 がすでに割り当てられた場合に、それら複数のセルに割り当てられたすべての符号 系列の系列番号各々と互いに素であって、それらすベての符号系列の系列番号各 々との差と系列長との最大公約数よりも、互いの差と系列長との最大公約数がより小 さくなる複数の系列番号であって、かつ、それらすベての符号系列の系列番号各々 との差と系列長との最大公約数の総和に、系列番号間の差と系列長との最大公約数 を加算した結果が最小となる複数の系列番号各々を有する複数の符号系列を、それ ら複数のセルに隣接する 1つのセルに割り当てる。このため、本実施の形態によればThus, according to the present embodiment, when a plurality of code sequences are already assigned to each of a plurality of cells, each of the sequence numbers of all the code sequences assigned to the plurality of cells A plurality of prime numbers that are relatively prime and have the greatest common divisor of the difference between them and the sequence length smaller than the greatest common divisor of the difference between each of the sequence numbers of all the code sequences and the sequence length. The greatest common divisor of the difference between the sequence numbers and the sequence length is added to the sum of the greatest common divisors of the sequence numbers and the difference between each of the sequence numbers of all the code sequences and the sequence length. A plurality of code sequences each having a plurality of sequence numbers with the smallest result, To one cell adjacent to multiple cells. For this reason, according to this embodiment,
、セル内干渉およびセル間干渉の双方を抑えることができる。 Both in-cell interference and inter-cell interference can be suppressed.
[0052] なお、本実施の形態では、符号系列の系列番号の差と系列長との最大公約数を算 出し、算出された最大公約数に基づき、符号系列を割り当てる方法を説明したが、上 記の式(5)に示す符号系列間の最大相互相関値を算出し、算出された最大相互相 関値に基づき、符号系列を割り当てても良い。すなわち、複数のセルに割り当てられ た符号系列の系列番号各々と互いに素である系列番号を有し、それら複数のセルに 割り当てられたすべての符号系列各々との最大相互相関値よりも、互いの最大相互 相関値がより小さくなる複数の符号系列であって、かつ、上記すベての符号系列各 々との最大相互相関値の総和に、互いの最大相互相関値を加算した結果が最小と なる複数の符号系列を、それら複数のセルに隣接する 1つのセルに割り当てることに よっても、本実施の形態と同様にセル内干渉およびセル間干渉の双方を抑えること ができる。  In the present embodiment, the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described. The maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. That is, each of the sequence numbers of code sequences assigned to a plurality of cells has a sequence number that is relatively prime, and the mutual value is greater than the maximum cross-correlation value between all of the code sequences assigned to the cells. The maximum cross-correlation value is smaller than the sum of the maximum cross-correlation values of each of the above-described code sequences, and the maximum cross-correlation value is the smallest. By assigning a plurality of code sequences to one cell adjacent to the plurality of cells, both intra-cell interference and inter-cell interference can be suppressed as in the present embodiment.
[0053] また、本実施の形態では、セル # 1に割り当てる r、 rを同時に決定する方法につ  [0053] Also, in this embodiment, there is a method for simultaneously determining r and r to be assigned to cell # 1.
1 2  1 2
いて説明したが、実施の形態に 1に示す符号系列割当方法を用いて、先に、セル # 1に 1つの符号系歹 IJrを割り当てて、次いで、害 IJり当てられた r , r , r , · · · , r に基づ  However, using the code sequence allocation method shown in 1 in the embodiment, first, one code system 歹 IJr is allocated to cell # 1, and then r 1, r 2, r assigned to harmful IJ , ..., based on r
1 1 3 4 14 き、セル # 1にもう 1つの符号系列 rを割り当てても良い。力、かる場合、 r , r , · · · , r  1 1 3 4 14, another code sequence r may be assigned to cell # 1. R, r, r, r, r
2 3 4 14 各々と互いに素であって、 r , r , · · · , r 各々との差と系列長 Nとの最大公約数よりも  2 3 4 14 are relatively prime to each other, and are larger than the greatest common divisor of the difference between r 1, r 2,.
3 4 14  3 4 14
、互いの差と系列長 Nとの最大公約数がより小さくなる rであって、かつ、系列番号 r  R is the greatest common divisor of the difference between each other and the sequence length N, and the sequence number r
2 3 twenty three
, r, …, r 各々との差と系列長 Nとの最大公約数の総和に、 rとの差と系列長 Nとの, R,…, r The sum of the greatest common divisors of the difference from each and the sequence length N is the difference between r and the sequence length N
4 14 1 4 14 1
最大公約数を加算した結果が最小となる rを系列番号とする符号系列をセル # 1に  The result of adding the greatest common divisor is the smallest.
2  2
割り当てる。  assign.
[0054] なお、本実施の形態では、 1つのセルに 2つの符号系列を割り当てる方法について 説明したが、より簡単な例をあげると、セル # 1、 # 2にそれぞれ符号系列 r、 rがす  [0054] In the present embodiment, a method of assigning two code sequences to one cell has been described. However, in a simple example, code sequences r and r are assigned to cells # 1 and # 2, respectively.
1 2 でに割り当てられている場合は、 r、r各々と互いに素であって、 r、r各々との差と  1 2, r and r are relatively prime to each other, and the difference between r and r is
1 2 1 2  1 2 1 2
系列長 Nとの最大公約数の総和が最小となる rを系列番号とする符号系列を、セル  A code sequence with the sequence number r as the sum of the greatest common divisor with the sequence length N
3  Three
# 1、 # 2のうち、 r、r各々との差と系列長 Nとの最大公約数がより小さい方に割り当  # 1 or # 2 is assigned to the smaller of the difference between r and r and the greatest common divisor of sequence length N
1 2  1 2
てると良い。 [0055] また、本実施の形態では、 ST201において変数 Minを NX (KXL) XL + NX (L X (L-D/2! )=NX6X2X2 + Nに初期化する場合を例にとって説明したが、 変数 Minを NX (KXL) XL + NX (LX (L— 1)/2! ) =N X 6 X 2 X 2 + Nより大き い値に初期化しても良い。 It would be nice. Further, in the present embodiment, the case where the variable Min is initialized to ST NX (KXL) XL + NX (LX (LD / 2!) = NX6X2X2 + N in ST201 is described as an example. NX (KXL) XL + NX (LX (L— 1) / 2!) = NX 6 X 2 X 2 + You may initialize it to a value larger than N.
[0056] (実施の形態 3)  [Embodiment 3]
図 10は、本発明の実施の形態 3に係るセルラ無線通信システムの符号系列割当方 法を説明するための図である。ここでは、セル #1〜; 19を用いてセルラ無線通信シス テムの一例を示す。なお、本実施の形態に係る各セルは、中心エリアと周辺エリアと に二分される。中心エリアとはセル内において基地局近辺のエリアを指し、周辺エリ ァとはセル内において隣接セルとの境界線近辺のエリアを指す。  FIG. 10 is a diagram for explaining a code sequence allocation method of the cellular radio communication system according to Embodiment 3 of the present invention. Here, an example of a cellular wireless communication system using cells # 1 to 19 is shown. Each cell according to the present embodiment is divided into a central area and a peripheral area. The central area refers to the area near the base station in the cell, and the peripheral area refers to the area near the boundary line with the adjacent cell in the cell.
[0057] 本実施の形態においては、図 10に示すように、セノレ #1に隣接するセノレ #2〜#7 の各セルの中心エリアおよび周辺エリアにすでに、符号系列 r〜r が順番に割り当  In the present embodiment, as shown in FIG. 10, code sequences r to r are already assigned in order to the central area and the peripheral area of each cell of senoele # 2 to # 7 adjacent to senore # 1. This
3 14  3 14
てられており、これらセル # 2〜 # 7に割り当てられた符号系列に基づき、セル # 1の 中心エリアおよび周辺エリア各々に 2つの符号系列 r、 r各々を割り当てる方法を説  Based on the code sequences assigned to cells # 2 to # 7, a method for assigning two code sequences r and r to the center area and peripheral area of cell # 1 is explained.
1 2  1 2
明する。  Light up.
[0058] 図 11は、本実施の形態に係るセルラ無線通信システムの符号系列割当方法の手 順を示すフロー図である。  [0058] FIG. 11 is a flowchart showing a procedure of the code sequence assignment method of the cellular radio communication system according to the present embodiment.
[0059] まず、 ST301におレヽて、変数 r 、 r 、 Suml、 Sum2、 r、 rを「0」に初期ィ匕し、変 [0059] First, in ST301, variables r, r, Suml, Sum2, r2, r are initialized to "0" and changed.
xl x2 1 2  xl x2 1 2
数 Miniを NXK = NX6に初期化し、 Min2を Nに初期化する。ここで、 Nは系列長 を示し、 Kはセル # 1に隣接するセルの数を示す。本実施の形態では、 Miniは、セ ル #1の周辺エリアに割り当てる符号系列の系列番号と系列番号 r , r , r , ···, r The number Mini is initialized to NXK = NX6, and Min2 is initialized to N. Here, N indicates the sequence length, and K indicates the number of cells adjacent to cell # 1. In the present embodiment, the Mini uses the sequence number of the code sequence assigned to the peripheral area of cell # 1 and the sequence number r 1, r 2 , r 2 ,.
4 6 8 14 各々との差と、系列長 Nとの最大公約数の総和の最小値を保存する変数であり、 Mi n2は、セル # 1の周辺エリアに割り当てる符号系列の系列番号とセル # 1の中心エリ ァに割り当てる符号系列の系列番号との差と、系列長 Nとの最大公約数の最小値を 保存する変数である。  4 6 8 14 A variable that stores the difference between each and the minimum value of the sum of the greatest common divisors with the sequence length N. Min2 is the sequence number of the code sequence assigned to the area surrounding cell # 1 and cell # This variable stores the difference between the sequence number of the code sequence assigned to the central area of 1 and the minimum value of the greatest common divisor with the sequence length N.
[0060] 次いで、 ST302において、セル #2〜# 7にすでに割り当てられた符号系列 r〜r  [0060] Next, in ST302, code sequences r to r already assigned to cells # 2 to # 7
3 1 と互いに素である符号系列からなる集合を、セル # 1の周辺エリアに割り当てる符号 3 A code that assigns a set of code sequences that are relatively prime to 1 to the surrounding area of cell # 1
4 Four
系列 の候補集合とし、候補集合の中から、まだ選択されたことがない任意の 1つを 選択する。このステップにおいては、選択された候補符号系列の系列番号を用いて 、変数 を設定する。 A candidate set of series, and any one of the candidate sets that has not yet been selected select. In this step, a variable is set using the sequence number of the selected candidate code sequence.
x2  x2
[0061] 次いで、 ST303において、下記の式(1 1 )に従って、変数 r と、セル # 2〜# 7各  [0061] Next, in ST303, according to the following equation (1 1), variable r and cells # 2 to # 7
x2  x2
セルの周辺エリアに割り当てられた各符号系列の系列番号 r , r , r , · · · , r それぞ  The sequence numbers r, r, r, r, r, r for each code sequence assigned to the peripheral area of the cell
4 6 8 14 れとの差と、系列長 Nとの最大公約数の総和を算出し、算出結果を変数 Sumlに代 入する。  4 6 8 14 Calculate the sum of the greatest common divisor with the difference between this and the sequence length N, and substitute the calculation result into the variable Suml.
[数 7]  [Equation 7]
Suml = V GCD rx2 -r2i \, N) … ( 1 1 ) Suml = V GCD r x2 -r 2i \, N)… (1 1)
[0062] 次いで、 ST304において、変数 Sumlの値と変数 Miniの値とを比較する。このス テツプにおいて、 Sumlが Mini以上であると判定される場合(ST304 : NO)、割当 手順は ST306に進む。一方、 Sumlが Miniより小さいと判定される場合(ST304 : YES)、割当手順は ST305に進む。 [0062] Next, in ST304, the value of variable Suml is compared with the value of variable Mini. If it is determined in this step that Suml is greater than or equal to Mini (ST304: NO), the allocation procedure proceeds to ST306. On the other hand, when it is determined that Suml is smaller than Mini (ST304: YES), the allocation procedure proceeds to ST305.
[0063] 次いで、 ST305において、変数 Sumlの値を用いて変数 Miniを更新し、変数 r  [0063] Next, in ST305, the variable Mini is updated using the value of the variable Suml, and the variable r
x2 の値を用いて変数 rを更新する。  Update the variable r with the value of x2.
2  2
[0064] 次いで、 ST306において、セル # 1の周辺エリアに割り当てる候補符号系列のす ベてが選択されたか否かを判定する。このステップにおいて、すべての候補符号系 列が選択されなかったと判定される場合(ST306: NO)、割当手順は ST302に戻る 。一方、すべての候補符号系列が選択されたと判定される場合(ST306 : YES)、系 列番号が rの符号系列をセル # 1の周辺エリアに割り当て、 ST307に進む。  [0064] Next, in ST306, it is determined whether or not all candidate code sequences to be allocated to the peripheral area of cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST306: NO), the allocation procedure returns to ST302. On the other hand, if it is determined that all candidate code sequences have been selected (ST306: YES), the code sequence with sequence number r is assigned to the peripheral area of cell # 1, and the process proceeds to ST307.
2  2
[0065] 次いで、 ST307において、セル # 2〜# 7にすでに割り当てられた符号系列 r〜r  Next, in ST307, code sequences r to r already assigned to cells # 2 to # 7
3 1 および rと互いに素である系列番号の符号系列からなる集合を、セル # 1の中心ェ 3 Set a set of code sequences with sequence numbers that are relatively prime to 1 and r to the center of cell # 1.
4 2 4 2
リアに割り当てる符号系列 rの候補集合とし、候補集合の中から、まだこのステップに おいて選択されたことがない任意の 1つを選択する。このステップにおいては、選択さ れた候補符号系列の系列番号を用いて、変数 を設定する。  A candidate set of code sequences r to be assigned to the rear is selected, and any one of the candidate sets that has not yet been selected in this step is selected. In this step, a variable is set using the sequence number of the selected candidate code sequence.
xl  xl
[0066] 次いで、 ST308において、変数 r と rとの差と、系列長 Nとの最大公約数 Sum2 =  [0066] Next, in ST308, the greatest common divisor Sum2 = the difference between the variables r and r and the sequence length N
xl 2  xl 2
GCD ( I r -r | , N)を算出する。  GCD (I r -r |, N) is calculated.
2 xl  2 xl
[0067] 次いで、 ST309において、 Sum2と Min2とを比較する。このステップにおいて、 Su m2が Min2以上であると判定される場合(ST309: NO)、割当手順は ST311に進 む。一方、 Sum2が Min2より小さいと判定される場合(ST309 :YES)、割当手順は ST310に進む。 [0067] Next, in ST309, Sum2 and Min2 are compared. In this step, Su If it is determined that m2 is greater than or equal to Min2 (ST309: NO), the allocation procedure proceeds to ST311. On the other hand, when it is determined that Sum2 is smaller than Min2 (ST309: YES), the allocation procedure proceeds to ST310.
[0068] 次いで、 ST310において、変数 Sum2の値を用いて変数 Min2を更新し、変数 r xl の値を用いて変数 rを更新する。  [0068] Next, in ST310, variable Min2 is updated using the value of variable Sum2, and variable r is updated using the value of variable rxl.
[0069] 次いで、 ST311において、セル # 1の中心エリアに割り当てる候補符号系列のす ベてが選択されたか否かを判定する。このステップにおいて、すべての候補符号系 列が選択されなかったと判定される場合(ST311: NO)、割当手順は ST307に戻る 。一方、すべての候補符号系列が選択されたと判定される場合(ST311 : YES)、系 列番号が rの符号系列をセル # 1の中心エリアに割り当てる。  [0069] Next, in ST311, it is determined whether or not all candidate code sequences to be allocated to the center area of cell # 1 have been selected. If it is determined in this step that all candidate code sequences have not been selected (ST311: NO), the allocation procedure returns to ST307. On the other hand, if it is determined that all candidate code sequences have been selected (ST311: YES), the code sequence with sequence number r is assigned to the central area of cell # 1.
[0070] 上記のように、図 11に示す割当手順においては、セル # 2〜# 7の周辺エリアにす でに割り当てられた符号系列の系列番号 r , r , · · · , r 各々との差と系列長との最大  [0070] As described above, in the allocation procedure shown in FIG. 11, the sequence numbers r 1, r 2,. Maximum difference and sequence length
4 6 14  4 6 14
公約数が最小となる rを系列番号とする符号系列をセル # 1の周辺エリアに割り当て  Assign a code sequence with r as the sequence number that has the smallest common divisor to the area surrounding cell # 1
2  2
、さらに rとの差と系列長との最大公約数が最小となる rを系列番号とする符号系列 をセル # 1の中心エリアに割り当てる。これにより、セル間干渉およびセル内干渉の 双方を抑えることができる。  In addition, a code sequence having a sequence number r that minimizes the greatest common divisor between the difference from r and the sequence length is assigned to the central area of cell # 1. As a result, both inter-cell interference and intra-cell interference can be suppressed.
[0071] このように、本実施の形態によれば、複数のセルの周辺エリアにすでに割り当てら れた符号系列の系列番号と互いに素であって、それら複数のセルの周辺エリアにす でに割り当てられた符号系列の系列番号との差と系列長との最大公約数の総和が最 小となる系列番号を有する符号系列を、それら複数のセルに隣接する 1つのセルの 周辺エリアに割り当て、さらにその 1つのセルの周辺エリアに割り当てられた符号系列 の系列番号との差と系列長との最大公約数が最小となる系列番号を有する符号系列 を、その 1つのセルの中心エリアに割り当てる。このため、本実施の形態によれば、セ ル間干渉およびセル内干渉の双方を抑えることができる。  As described above, according to the present embodiment, the sequence numbers of the code sequences already assigned to the peripheral areas of the plurality of cells are relatively prime to each other and are already in the peripheral areas of the plurality of cells. A code sequence having a sequence number that minimizes the sum of the greatest common divisors of the difference between the sequence number of the assigned code sequence and the sequence length is assigned to the peripheral area of one cell adjacent to the plurality of cells, Further, a code sequence having a sequence number that minimizes the greatest common divisor between the sequence number of the code sequence assigned to the peripheral area of the one cell and the sequence length is assigned to the central area of the one cell. For this reason, according to the present embodiment, it is possible to suppress both inter-cell interference and intra-cell interference.
[0072] また、本実施の形態によれば、複数のセルの周辺エリアと中心エリアとにすでに符 号系列が割り当てられており、それら複数のセルに隣接する 1つのセルの周辺エリア と中心エリアとにそれぞれ符号系列を割り当てる場合、それら複数のセルの周辺エリ ァに割り当てられた符号系列のみを考慮し、その 1つのセルの周辺エリアに符号系 列を割り当てたのちに、その 1つのセルの周辺エリアに割り当てられた符号系列のみ を考慮してその 1つのセルの中心エリアに符号系列を割り当てる。このため、本実施 の形態によれば、割当手順における演算量を削減することができる。 [0072] Also, according to the present embodiment, code sequences have already been assigned to the peripheral area and the central area of a plurality of cells, and the peripheral area and the central area of one cell adjacent to the plurality of cells. When a code sequence is assigned to each cell, only the code sequence assigned to the peripheral area of those cells is considered, and the code system is assigned to the peripheral area of that one cell. After assigning a column, a code sequence is assigned to the central area of that cell, considering only the code sequence assigned to the surrounding area of that cell. For this reason, according to the present embodiment, it is possible to reduce the amount of calculation in the allocation procedure.
[0073] なお、本実施の形態では、符号系列の系列番号の差と系列長との最大公約数を算 出し、算出された最大公約数に基づき、符号系列を割り当てる方法を説明したが、上 記の式(5)に示す符号系列間の最大相互相関値を算出し、算出された最大相互相 関値に基づき、符号系列を割り当てても良い。すなわち、複数のセルの周辺エリアに すでに割り当てられた符号系列の系列番号と互いに素である系列番号を有し、それ ら複数のセルの周辺エリアにすでに割り当てられた符号系列との最大相互相関値の 総和が最小となる符号系列を、それら複数のセルに隣接する 1つのセルの周辺エリ ァに割り当て、さらにその 1つのセルの周辺エリアに割り当てられた符号系列の系列 番号と互いに素である系列番号を有し、その 1つのセルの周辺エリアに割り当てられ た符号系列との最大相互相関値が最小となる符号系列を、その 1つのセルの中心ェ リアに割り当てることによつても、本実施の形態と同様にセル間干渉およびセル内干 渉の双方を抑えることができる。  In the present embodiment, the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described. The maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. In other words, the maximum cross-correlation value with the code sequence that has a sequence number that is relatively prime to the sequence number of the code sequence already assigned to the peripheral area of the plurality of cells. A code sequence that minimizes the sum of is assigned to the peripheral area of one cell adjacent to these cells, and the sequence number that is relatively prime to the sequence number of the code series assigned to the peripheral area of that one cell This code can also be implemented by assigning a code sequence that has a number and has the smallest maximum cross-correlation value with the code sequence assigned to the surrounding area of that cell to the center area of that cell. As in the above configuration, both inter-cell interference and intra-cell interference can be suppressed.
[0074] また、本実施の形態では、各セルの中心エリアと周辺エリアとにそれぞれ符号系列 を割り当てる方法を説明した力 より簡単な例をあげると、セルの周辺エリアにすでに 符号系列が割り当てられた場合に、このセルの周辺エリアに割り当てられた符号系列 の系列番号と互いに素であって、この系列番号との差と系列長との最大公約数が最 小となる系列番号を有する符号系列を、このセルの中心エリアに割り当てる。  [0074] Also, in the present embodiment, the power explaining the method of allocating code sequences to the center area and the peripheral area of each cell will be described. To give a simpler example, code sequences have already been allocated to the cell peripheral area. Code sequence having a sequence number that is relatively prime to the sequence number of the code sequence assigned to the peripheral area of the cell and has the smallest common divisor between the difference from this sequence number and the sequence length. Is assigned to the central area of this cell.
[0075] また、本実施の形態に係る符号系列割当方法は、伝搬ロスを示すパラメータ(例え ば CQI (Channel Quality Information)など)に基づき、符号系列を割り当てる方法とし て適用しても良い。かかる場合、伝搬ロスが大きい場合の符号系列の割当方法として 、周辺エリアに対する符号系列の割当方法を適用し、伝搬ロスが小さい場合の符号 系列の割当方法として、中心エリアに対する符号系列の割当方法を適用すれば良い  In addition, the code sequence assignment method according to the present embodiment may be applied as a method of assigning a code sequence based on a parameter indicating propagation loss (eg, CQI (Channel Quality Information)). In this case, the code sequence allocation method for the surrounding area is applied as the code sequence allocation method when the propagation loss is large, and the code sequence allocation method for the center area is used as the code sequence allocation method when the propagation loss is small. Apply
[0076] また、本実施の形態では、 ST301において変数 Minを N X K = N X 6に初期化す る場合を例にとって説明した力 変数 Minを N X K = N X 6より大きい値に初期化し ても良い。 In the present embodiment, the force variable Min is initialized to a value larger than NXK = NX 6 described in the example in ST301 where the variable Min is initialized to NXK = NX 6. May be.
[0077] (実施の形態 4) [0077] (Embodiment 4)
図 12は、本発明の実施の形態 4に係るセルラ無線通信システムの符号系列割当方 法を説明するための図である。ここでは、セル #1〜; 19を用いてセルラ無線通信シス テムの一例を示す。  FIG. 12 is a diagram for explaining a code sequence assignment method of the cellular radio communication system according to the fourth embodiment of the present invention. Here, an example of a cellular wireless communication system using cells # 1 to 19 is shown.
[0078] 本実施の形態においては、図 12に示すセル # 1〜 # 7の何れにも未だ符号系列が 割り当てられて!/、な!/、場合に、セル # 1〜 # 7の各セルに符号系列を割り当てる方法 を説明する。  In the present embodiment, if a code sequence is still assigned to any of cells # 1 to # 7 shown in FIG. 12! /, N! /, Each cell of cells # 1 to # 7 A method for assigning a code sequence to is described.
[0079] 図 13は、本実施の形態に係るセルラ無線通信システムの符号系列割当方法の手 順を示すフロー図である。  FIG. 13 is a flowchart showing the procedure of the code sequence assignment method for the cellular radio communication system according to the present embodiment.
[0080] まず、 ST401におレヽて、変数 Sum、 r , r , ···, r , r , r , ···, rを「0」に初期ィ匕 [0080] First, in ST401, the variables Sum, r, r, ..., r, r, r, ..., r are initialized to "0".
xl x2 x7 1 2 7  xl x2 x7 1 2 7
し、変数 Minを NX (K+l) XK/2! =ΝΧ 7X6/2!に初期化する。ここで、 Νは 系列長を示し、 Κはセル #1に隣接するセルの数を示し、 (K+l) ΧΚ/2!は、 Κ + 1個の符号系列の 2つずつの組合せを示す。本実施の形態では、変数 Minは、セル # 1〜 # 7に割り当てる符号系列の系列番号互いの差と系列長 Nとの最大公約数の 総和の最小値を保存する変数である。  And set the variable Min to NX (K + l) XK / 2! = ΝΧ 7X6 / 2! Initialize to. Where Ν indicates the sequence length, Κ indicates the number of cells adjacent to cell # 1, and (K + l) ΧΚ / 2! Indicates two combinations of Κ + 1 code sequence. In the present embodiment, the variable Min is a variable that stores the minimum value of the sum of the greatest common divisors of the difference between the sequence numbers of the code sequences assigned to the cells # 1 to # 7 and the sequence length N.
[0081] 次いで、 ST402において、 7つの符号系列からなるすべての組合せのうち、系列番 号が互いに素である組合せからなる組合せの集合を候補集合とし、この候補集合の 中から、また選択されたことがない、任意の 1つの組合せを選択する。このステップに ぉレ、て、選択された組合せに含まれてレ、る 7つの符号系列の系列番号各々を用いて 、変数 , r , ···, r 各々を設定する。 [0081] Next, in ST402, among all combinations of seven code sequences, a set of combinations consisting of combinations whose sequence numbers are relatively prime is set as a candidate set, and the candidate set is selected from the candidate set. Choose any one combination that never happens. In this step, variables, r,..., R are set using the sequence numbers of the seven code sequences included in the selected combination.
xl x2 x7  xl x2 x7
[0082] 次いで、 ST403において、下記の式(12)に従い、変数 r , r , …, r 互いの差各  [0082] Next, in ST403, according to the following equation (12), the variables r, r, ..., r
xl x2 x7  xl x2 x7
々と、系列長との最大公約数の総和を算出し、算出結果を変数 Sumに代入する。  Then, the sum of the greatest common divisor with the sequence length is calculated, and the calculation result is substituted into the variable Sum.
[数 8]  [Equation 8]
Sum = J GCD{\ η一 |,N) … ( i 2 ) 次いで、 ST404において、変数 Sumの値と変数 Minの値とを比較する。 Sumが M in以上である場合(ST404:NO)は、割当手順は ST406に進み、一方、 Sum力 SMi nより小さい場合(ST404 :YES)は、割当手順は ST405に進む。 Sum = J GCD {\ η1 |, N) (i 2 ) Next, in ST404, the value of the variable Sum is compared with the value of the variable Min. If Sum is greater than or equal to Min (ST404: NO), the allocation procedure proceeds to ST406, while Sum force SMi If it is smaller than n (ST404: YES), the allocation procedure proceeds to ST405.
[0084] 次いで、 ST405において、変数 Sumの値を用いて変数 Minの値を更新し、変数 r Next, in ST405, the value of variable Min is updated using the value of variable Sum, and variable r
, r , · · · , r のィ直を用いて r , r , · · · , rのィ直を更新する。  , r,..., r is used to update r, r,.
1 x2 x7 1 2 7  1 x2 x7 1 2 7
[0085] 次いで、 ST406において、候補集合に含まれているすべての組合せが選択された 否かを判定する。候補集合に含まれて!/、るすべての組合せが選択されなかったと判 定される場合(ST406 : NO)、割当手順は ST402に戻り、候補集合に含まれている すべての組合せが選択されたと判定される場合(ST406 : YES)は、変数 , r , · · · ,  Next, in ST406, it is determined whether or not all combinations included in the candidate set have been selected. If it is determined that all combinations included in the candidate set are not selected (ST406: NO), the assignment procedure returns to ST402, and all combinations included in the candidate set are selected. When judged (ST406: YES), variables, r, ...,
1 2 rそれぞれの値を系列番号とする符号系列を、セル # 1〜 # 7各々に割り当てる。  1 2 r A code sequence having a sequence number as each value is assigned to each of cells # 1 to # 7.
[0086] このように、本実施の形態によれば、系列番号が互いに素であって、系列番号の互 いの差と系列長との最大公約数の総和が最小となる複数の符号系列各々を、互いに 隣接する複数のセル各々に割り当てる。このため、本実施の形態によれば、セル間 干渉を抑えることができる。  [0086] Thus, according to the present embodiment, each of a plurality of code sequences in which the sequence numbers are relatively prime and the sum of the greatest common divisors of the difference between the sequence numbers and the sequence length is minimized. Is assigned to each of a plurality of cells adjacent to each other. For this reason, according to the present embodiment, inter-cell interference can be suppressed.
[0087] なお、本実施の形態では、符号系列の系列番号の差と系列長との最大公約数を算 出し、算出された最大公約数に基づき、符号系列を割り当てる方法を説明したが、上 記の式(5)に示す符号系列間の最大相互相関値を算出し、算出された最大相互相 関値に基づき、符号系列を割り当てても良い。すなわち、系列番号が互いに素であ つて、互いの最大相互相関値の総和が最小となる複数の符号系列各々を、互いに 隣接する複数のセル各々に割り当てることによつても、本実施の形態と同様にセル間 干渉を抑えることができる。  In the present embodiment, the method of calculating the greatest common divisor between the sequence number difference of the code sequences and the sequence length and allocating the code sequence based on the calculated greatest common divisor has been described. The maximum cross-correlation value between code sequences shown in Equation (5) may be calculated, and the code sequence may be assigned based on the calculated maximum cross-correlation value. That is, by assigning each of a plurality of code sequences whose sequence numbers are relatively prime and the sum of mutual maximum cross-correlation values is minimized to each of a plurality of cells adjacent to each other, Similarly, inter-cell interference can be suppressed.
[0088] また、本実施の形態では、複数の符号系列各々を複数のセル各々に割り当てる方 法を説明したが、より簡単な例をあげると、 2つの系列番号が互いに素であって、力、 つ、上記の 2つの系列番号の差と系列長との最大公約数が最小となる系列番号を有 する 2つの符号系列各々を互いに隣接する 2つのセル各々に割り当てる。  [0088] Also, in the present embodiment, a method of allocating each of a plurality of code sequences to each of a plurality of cells has been described. However, in a simple example, two sequence numbers are relatively prime, Each of the two code sequences having the sequence number that minimizes the greatest common divisor between the difference between the two sequence numbers and the sequence length is assigned to each of two adjacent cells.
[0089] さらには、これら 2つのセルに割り当てられた符号系列各々と互いに素であって、か つ、これら 2つのセルに割り当てられた符号系列各々との差と系列長 Nとの最大公約 数の総和が最小となる系列番号、を有する符号系列をこれら 2つのセルにさらに隣接 する 1つのセルに割り当てる。  [0089] Further, the greatest common divisor between the code sequences assigned to these two cells and the difference between each of the code sequences assigned to these two cells and the sequence length N is relatively prime. A code sequence having a sequence number that minimizes the sum of is assigned to one cell adjacent to these two cells.
[0090] また、本実施の形態では、 ST401において変数 Minを N X (K+ 1) X K/2! =Ν X 7 X 6/2!に初期化する場合を例にとって説明した力 変数 Minを N X (K+ l) Χ Κ/2! =Ν Χ 7 Χ 6/2!より大きい値に初期化しても良い。 In this embodiment, variable Min is set to NX (K + 1) XK / 2! In ST401! = Ν X 7 X 6/2! The force variable Min described as an example of initializing to NX (K + l) Χ Κ / 2! = Ν Χ 7 Χ 6/2! It may be initialized to a larger value.
[0091] 以上、本発明の各実施の形態について説明した。 [0091] The embodiments of the present invention have been described above.
[0092] なお、上記実施の形態では、互いに隣接する複数のセルに符号系列を割り当てる 方法を説明したが、基地局の指向性アンテナを用いて 1つのセル内に複数のセクタ を構成するセルラ無線通信システムにおいては、同一セル内のセクタ間における干 渉はわりと小さいので考慮しなくても良いため、同一のセル内の各セクタに符号系列 を割り当てる場合は、セル内干渉は考慮せず、隣接セルの各セクタとの間の干渉の みを考慮すれば良い。これによれば、割当手順の演算に係わる符号系列の数を削 減することができるため、割当手順における演算量を低減することができる。  [0092] In the above embodiment, a method of assigning code sequences to a plurality of cells adjacent to each other has been described. However, a cellular radio that configures a plurality of sectors in one cell using a directional antenna of a base station. In a communication system, interference between sectors in the same cell is relatively small and need not be considered.Therefore, when a code sequence is assigned to each sector in the same cell, intra-cell interference is not considered. Only the interference with each sector of the neighboring cell needs to be considered. According to this, since the number of code sequences involved in the allocation procedure calculation can be reduced, the calculation amount in the allocation procedure can be reduced.
[0093] 2006年 8月 18曰出願の特願 2006— 223584の曰本出願に含まれる明細書、図 面および要約書の開示内容は、すべて本願に援用される。  [0093] August 2006 Patent application 2006-182234 of this application The disclosure of the specification, drawings and abstract contained in this application is incorporated herein by reference.
産業上の利用可能性  Industrial applicability
[0094] 本発明に係る符号系列割当方法は、セルラ無線通信システム等に適用することが できる。 The code sequence allocation method according to the present invention can be applied to a cellular radio communication system or the like.

Claims

請求の範囲 The scope of the claims
[1] 式(1)に示す ZCZ— GCL符号系列^ (k)を、セルラ無線通信システムを構成する 複数のセルの!/、ずれかに割り当てる符号系列割当方法であって、  [1] A code sequence allocating method for allocating ZCZ—GCL code sequence ^ (k) shown in Equation (1) to! / Of a plurality of cells constituting a cellular radio communication system,
國 cr(k ) = ar( κ) bt{k mod m ), Land c r (k) = a r (κ) b t {k mod m),
ar{k) = ± ^( νπΗκΐ 2)/2+ , b k)
Figure imgf000021_0001
a r (k) = ± ^ (νπΗκΐ 2) / 2 + , bk)
Figure imgf000021_0001
WN r = exp (^jlnr / N ) ただし、 r : 系列番号を示し、 Nと互いに素の関係にある整数。 W N r = exp (^ jlnr / N) where r is a sequence number and is an integer that is relatively prime to N.
N : 符号系列長を示し、 素数でない整数。  N: Indicates the code sequence length and is a non-prime integer.
m :
Figure imgf000021_0002
を満たす任意の整数。
m:
Figure imgf000021_0002
Any integer that satisfies
s :任意の整数。  s: Any integer.
t : 任意の整数。  t: Any integer.
ん = 0,1,...,N-1  N = 0, 1, ..., N-1
= 0,l"..,w_l  = 0, l ".., w_l
ar(k) : Z C系列からなるキャリア系列。 a r (k): Carrier sequence consisting of ZC sequences.
q :任意の整数。 q: Any integer.
, (A) : 変調系列。 前記式(1)により生成される符号系列 C (k)のうち、第 1セルに隣接する複数の第 2 セルにすでに割り当てられた符号系列各々の rと互いに素であって、かつ、前記複数 の第 2セルにすでに割り当てられた符号系列各々の rとの差と Nとの最大公約数の総 和が最小となる rを有する第 1符号系列を前記第 1セルに割り当てる、  , (A): Modulation sequence. Among the code sequences C (k) generated by the equation (1), each of the code sequences already assigned to a plurality of second cells adjacent to the first cell is relatively prime to r, and Assigning to the first cell a first code sequence having r that minimizes the sum of the greatest common divisors of N and the difference between each of the code sequences already assigned to the second cell of
符号系列割当方法。  Code sequence allocation method.
[2] 前記複数の第 2セルの各々に対しそれぞれ複数の符号系列がすでに割り当てられ ており、  [2] A plurality of code sequences are already assigned to each of the plurality of second cells,
前記式(1)により生成される符号系列 C (k)のうち、  Of the code sequence C (k) generated by the equation (1),
前記複数の第 2セルにすでに割り当てられたすべての符号系列各々の rと互いに 素であって、前記複数の第 2セルにすでに割り当てられたすべての符号系列各々の rとの差と Nとの最大公約数よりも、前記第 1符号系列の rとの差と Nとの最大公約数が より小さくなる rであって、 Each of the code sequences already assigned to the plurality of second cells and each r The difference between r of each of the code sequences already assigned to the plurality of second cells and the greatest common divisor of N is less than the difference between r of the first code sequence and N. R is the greatest common divisor,
かつ、前記すベての符号系列各々の rとの差と Nとの最大公約数の総和に、前記第 1符号系列の rとの差と Nとの最大公約数を加算した結果が最小となる r、を有する第 2符号系列を前記第 1セルにさらに割り当てる、  In addition, the sum of the greatest common divisor between the difference between r and N of all the code sequences and the greatest common divisor of N is the result of adding the greatest common divisor between r and N of the first code sequence to the minimum. Further assigning to the first cell a second code sequence having r
請求項 1記載の符号系列割当方法。  The code sequence allocation method according to claim 1.
[3] 前記第 1セルおよび前記複数の第 2セルの各々は中心エリアと周辺エリアとに二分 され、 [3] Each of the first cell and the plurality of second cells is divided into a central area and a peripheral area,
前記複数の第 2セルの各々の周辺エリアにすでに符号系列が割り当てられており、 前記第 1符号系列を前記第 1セルの周辺エリアに割り当て、  A code sequence is already assigned to each peripheral area of the plurality of second cells, and the first code sequence is assigned to the peripheral area of the first cell;
前記第 1符号系列の rと互いに素であって、前記第 1符号系列の rとの差と Nとの最 大公約数が最小となる rを有する第 2符号系列を前記第 1セルの中心エリアに割り当 てる、  The second code sequence having r which is relatively prime to r of the first code sequence and has the smallest common divisor between N and the difference between r of the first code sequence and the center of the first cell Assigned to the area,
請求項 1記載の符号系列割当方法。  The code sequence allocation method according to claim 1.
[4] 式(1)に示す ZCZ— GCL符号系列 C (k)を、セルラ無線通信システムを構成する 複数のセルのいずれかに割り当てる符号系列割当方法であって、 [4] A code sequence allocating method for allocating the ZCZ—GCL code sequence C (k) shown in Equation (1) to any one of a plurality of cells constituting the cellular radio communication system,
[数 2] [Equation 2]
cr(k) = ar(k) b^k mod m ), c r (k) = a r (k) b ^ k mod m),
Q (ん) = + Hk + N mod 2)/2 + qk Q (n) = + Hk + N mod 2) / 2 + qk
t L … ( 1 ) b^k) = w k または ん) = (— 1) , t L ... (1) b ^ k) = w k or I) = (- 1),
WN r = exp (j2^ I N) ただし、 /· : 系列番号を示し、 と互いに素の関係にある整数。 W N r = exp (j2 ^ IN) where / ·: indicates the sequence number and is an integer that is relatively prime to.
N : 符号系列長を示し、 素数でない整数。  N: Indicates the code sequence length and is a non-prime integer.
m :
Figure imgf000023_0001
を満たす任意の整数。
m:
Figure imgf000023_0001
Any integer that satisfies
s :任意の整数。  s: Any integer.
t : 任意の整数。 t: Any integer.
0,1,...,N - 1  0, 1, ..., N-1
/ = 0,l"..,w— l  / = 0, l ".., w— l
ar{k) : Z C系列からなるキャリア系列。 a r (k): A carrier sequence consisting of ZC sequences.
q :任意の整数。  q: Any integer.
bt(k) 変調系列。 式 (2)に従い符号系列間の最大相互相関値を算出し、 b t (k) Modulation sequence. Calculate the maximum cross-correlation value between code sequences according to equation (2),
最大相互相関値 = (rの差と Nとの最大公約数) Χ Ν ·'·(2)  Maximum cross-correlation value = (the greatest common divisor between r and N) Χ Χ · '· (2)
前記式(1)により生成される符号系列 C (k)のうち、第 1セルに隣接する複数の第 2 セルにすでに割り当てられた符号系列各々の rと互いに素である系列番号を有し、か つ、前記複数の第 2セルにすでに割り当てられた符号系列各々との最大相互相関値 の総和が最小となる第 1符号系列を前記第 1セルに割り当てる、  Among the code sequences C (k) generated by the equation (1), each of the code sequences already assigned to a plurality of second cells adjacent to the first cell has a sequence number that is relatively prime to r. In addition, a first code sequence having a minimum sum of maximum cross-correlation values with each of the code sequences already assigned to the plurality of second cells is assigned to the first cell.
符号系列割当方法。  Code sequence allocation method.
[5] 前記複数の第 2セルの各々に対しそれぞれ複数の符号系列がすでに割り当てられ ており、  [5] A plurality of code sequences are already assigned to each of the plurality of second cells,
前記式(1)により生成される符号系列 C (k)のうち、  Of the code sequence C (k) generated by the equation (1),
前記複数の第 2セルにすでに割り当てられたすべての符号系列各々の rと互いに 素である系列番号を有し、  A sequence number that is relatively prime to r of each of all the code sequences already assigned to the plurality of second cells;
前記複数の第 2セルにすでに割り当てられたすべての符号系列各々との最大相互 相関値よりも、前記第 1符号系列との最大相互相関値がより小さぐ Maximum mutual interaction with each of all code sequences already assigned to the plurality of second cells The maximum cross-correlation value with the first code sequence is smaller than the correlation value
かつ、前記すベての符号系列各々との最大相互相関値の総和に、前記第 1符号系 歹 IJとの最大相互相関値を加算した結果が最小となる、第 2符号系列を前記第 1セル にさらに割り当てる、  In addition, the second code sequence having the minimum result obtained by adding the maximum cross-correlation value with the first code system IJ to the sum of the maximum cross-correlation values with each of all the code sequences is the first code sequence. Assign further to the cell,
請求項 4記載の符号系列割当方法。  The code sequence allocation method according to claim 4.
[6] 前記第 1セルおよび前記複数の第 2セルの各々は中心エリアと周辺エリアとに二分 され、 [6] Each of the first cell and the plurality of second cells is divided into a central area and a peripheral area,
前記複数の第 2セルの各々の周辺エリアにすでに符号系列が割り当てられており、 前記第 1符号系列を前記第 1セルの周辺エリアに割り当て、  A code sequence is already assigned to each peripheral area of the plurality of second cells, and the first code sequence is assigned to the peripheral area of the first cell;
前記第 1符号系列の rと互いに素である系列番号を有し、かつ、前記第 1符号系列 との最大相互相関値が最小となる第 2符号系列を前記第 1セルの中心エリアに割り 当てる、  A second code sequence having a sequence number that is relatively prime to r of the first code sequence and having a maximum maximum cross-correlation value with the first code sequence is assigned to the central area of the first cell. ,
請求項 4記載の符号系列割当方法。  The code sequence allocation method according to claim 4.
[7] 式(1)に示す ZCZ— GCL符号系列 C (k)を、セルラ無線通信システムを構成する 複数のセルのいずれかに割り当てる符号系列割当方法であって、 [7] A code sequence allocating method for allocating the ZCZ—GCL code sequence C (k) shown in Equation (1) to any one of a plurality of cells constituting the cellular radio communication system,
[数 3] [Equation 3]
cr(k) = r(k) bt(k mod m ), c r (k) = r (k) b t (k mod m),
ar(k) = ^(t+iVmod 2) 2+^, bt{k)
Figure imgf000025_0001
a r (k) = ^ (t + iVmod 2) 2+ ^, b t (k)
Figure imgf000025_0001
WN r = exp {jl r I N) ただし、 系列番号を示し、 と互いに素の関係にある整数。 W N r = exp {jl r IN) However, indicates sequence numbers, and integers relatively prime.
N : 符号系列長を示し、 素数でない整数。  N: Indicates the code sequence length and is a non-prime integer.
m : N=sXm2、 N=tXmを満たす任意の整数。  m: Any integer that satisfies N = sXm2 and N = tXm.
5 : 任意の整数。  5: Any integer.
t : 任意の整数。  t: Any integer.
k= ,\,...,N-\  k =, \, ..., N- \
/ = 0,l,...,w-l  / = 0, l, ..., w-l
ar{k): Z C系列からなるキャリア系列。 a r {k): career series consisting of ZC sequence.
q :任意の整数。  q: Any integer.
b k) : 変調系列。 前記式(1)により生成される符号系列 C (k)のうち、 2つの rが互いに素であって、か つ、前記 2つの rの差と Nとの最大公約数が最小となる第 1符号系列および第 2符号 系列の 2つの符号系列の各々を、互レ、に隣接する第 1セルおよび第 2セルの 2つの セルの各々に割り当てる、  b k): modulation sequence. In the code sequence C (k) generated by the equation (1), two r are relatively prime, and the first common divisor between the difference between the two r and N is the smallest. Assign each of the two code sequences of the code sequence and the second code sequence to each of the two cells of the first cell and the second cell adjacent to each other.
符号系列割当方法。  Code sequence allocation method.
[8] 前記式(1)により生成される符号系列 C (k)のうち、前記 2つの符号系列各々のと 互いに素であって、かつ、前記 2つの符号系列各々の rとの差と Nとの最大公約数の 総和が最小となる rを有する第 3符号系列を、前記 2つのセルにさらに隣接する第 3セ ルに割り当てる、  [8] Of the code sequences C (k) generated by the equation (1), each of the two code sequences is relatively prime, and the difference between each of the two code sequences and r is N Assigning a third code sequence having r with the smallest sum of the greatest common divisors to the third cell further adjacent to the two cells,
請求項 7記載の符号系列割当方法。  The code sequence allocation method according to claim 7.
[9] 前記式(1)により生成される符号系列 C (k)のうち、前記 2つの符号系列各々のと 互いに素であって、かつ、前記 2つの符号系列各々の rとの差と Nとの最大公約数の 総和が最小となる rを有する第 3符号系列を、 [9] Of the code sequences C (k) generated by the equation (1), each of the two code sequences is relatively prime and the difference between each of the two code sequences and r is N And the greatest common divisor The third code sequence having r with the smallest sum is
前記 2つのセルのうち、前記 2つの符号系列各々の rと前記第 3符号系列の rとの差 と Nとの最大公約数がより小さい方にさらに割り当てる、  Of the two cells, the difference between the r of each of the two code sequences and the r of the third code sequence is further assigned to the smaller of the greatest common divisors of N,
請求項 7記載の符号系列割当方法。  The code sequence allocation method according to claim 7.
前記 2つのセルの各々は中心エリアと周辺エリアとに二分され、  Each of the two cells is divided into a central area and a peripheral area,
前記第 1符号系列および前記第 2符号系列の 2つの符号系列の各々を、前記第 1 セルおよび前記第 2セル各々の周辺エリアに割り当て、  Assigning each of the two code sequences of the first code sequence and the second code sequence to a peripheral area of each of the first cell and the second cell;
前記式(1)により生成される符号系列 C (k)のうち、  Of the code sequence C (k) generated by the equation (1),
前記第 1セルの周辺エリアに割り当てられた前記第 1符号系列の rと互いに素であ つて、かつ、前記第 1符号系列の rとの差と Nとの最大公約数が最小となる rを有する 第 3符号系列を前記第 1セルの中心エリアに割り当て、  R which is relatively prime to r of the first code sequence assigned to the surrounding area of the first cell and which minimizes the greatest common divisor between N and the difference between r of the first code sequence and Having a third code sequence assigned to the central area of the first cell,
前記第 2セルの周辺エリアに割り当てられた前記第 2符号系列の rと互いに素であ つて、かつ、前記第 2符号系列の rとの差と Nとの最大公約数が最小となる rを有する 第 4符号系列を前記第 2セルの中心エリアに割り当てる、  R which is relatively prime to r of the second code sequence assigned to the peripheral area of the second cell, and which minimizes the greatest common divisor between N and the difference of r of the second code sequence. A fourth code sequence is assigned to the central area of the second cell,
請求項 7記載の符号系列割当方法。  The code sequence allocation method according to claim 7.
PCT/JP2007/066019 2006-08-18 2007-08-17 Code sequence allocation method WO2008020624A1 (en)

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