WO2008032803A1

WO2008032803A1 - Data transmitting method, data transmitting device, data receiving device, code word set creating method, and mobile communication method

Info

Publication number: WO2008032803A1
Application number: PCT/JP2007/067883
Authority: WO
Inventors: Naoki Suehiro
Original assignee: Naoki Suehiro
Priority date: 2006-09-15
Filing date: 2007-09-13
Publication date: 2008-03-20
Also published as: JP5113063B2; JPWO2008032803A1

Abstract

A data transmitting method for transmitting time-series data {x0, x1,...} by using a ZCCZ series is characterized in that when the ZCCZ series is denoted by Z(z0, z1,..., zN-1) (N is a natural number of 2 or larger), the transmitter divides the time-series data into sections of M pieces to create transmission data X(x0, x1,..., xM-1) (M is a natural number of 2 or larger), creates Z(z0, z1,..., zN-1) ⊗ X(x0, x1,..., xM-1) where ⊗ denotes Kronecker multiplication, and transmits the Kronecker product.

Description

Specification

Data transmission method, data transmission device, data reception device, codeword set creation method, and mobile communication method

Technical field

TECHNICAL FIELD [0001] The present invention relates to a data transmission method, a data transmission device, a data reception device, and a codeword set creation method, and in particular, a data transmission method and a data transmission device using a ZCCZ (Zero Cross Correlation Zone) sequence. And a method for creating a codeword set.

Background art

[0002] It is ideal to use a sequence in which the autocorrelation function is an impulse and the cross-correlation function is zero as a CDMA spreading code.

[0003] However, since the number of such sequences is small, a one-dimensional sequence that becomes zero within a certain range of autocorrelation function and periodic correlation function is set to ZCZ (zero Correlation Zone) Sequence as a spreading code. A CDMA communication system is used (see, for example, Patent Document 1).

[0004] Furthermore, a technique for transmitting a DFT (Discrete Fourier Transform) row vector and a Kronecker product of an arbitrary random sequence is also known (see, for example, Patent Document 2).

Patent Document 1: Japanese Patent Application Laid-Open No. 2001-94466

Patent Document 2: JP 2003-23675

Disclosure of the invention

Problems to be solved by the invention

[0005] However, when the ZCZ sequence is a spreading code, the autocorrelation function and the cross-correlation function that are characteristic of the ZCZ sequence become zero within a certain range (the former is called ZACZ (Zero Auto Correlation Zone), and the latter Is called ZCCZ.) The feature is not used effectively.

[0006] In addition, the method of generating a signal by taking a Kronecker product of a DFT row vector and an arbitrary random sequence has a problem that the apparatus configuration becomes large.

[0007] The present invention has been made in view of the above problems, and a data transmission method, a data transmission device, a data reception device, a codeword set creation method, and a movement that effectively utilize a ZCCZ sequence and do not increase the device size. The object is to provide a communication method. Means for solving the problem

In order to achieve the above object, the time series data {x, X,...

0 1

The data transmission method using ZCCZ system 歹 IJ is set to Z (z, _z , ···, _z ) (N is 2

0 1 N-1

If the above natural number), the transmitter

Transmit time data X (x, X, ..., X) (M is 2

0 1 M— 1

(Natural number above)

Furthermore, the transmission device

[0009] [Equation 1]

Z (z ₀ , Z "■-, z _N — with 0 (x ₀ , x" ■

Generated and transmitted

(G) is the Kronecker product.

In order to achieve the above object, the ZCCZ sequence in the transmission method of the present invention is a ZCCZ sequence generated by the following steps 1 to 3.

Step 1: K (K is a natural number greater than or equal to 2) Each diagonal component of L (L is a natural number greater than or equal to 2) diagonal matrices that have the same absolute value Is diagonal component B and diagonal component B.

2

Diagonal component B = b b --- b --- (2)

1 10 11 ι (κ-ι)

Diagonal component B = b b --- b --- (3)

2 20 21 2 (K— 1)

And from now on

b / b, b / b,---b / b Step 2: (b / b, b / b, * '' b / b) obtained in Step 1 is the diagonal component

10 20 11 21 l (K-l) 2 (K-1)

And the diagonal matrix Λ is the diagonal matrix Λ, and the F-th order DFT matrix is [F] · [Α] * · · (4)

Κ 1/2

Steps to calculate

Step 3: Step of generating ZCCZ sequence of length X から from Κ vector of the result of step 2

In order to achieve the above object, the ZCCZ sequence of the present invention can be configured to be a different sequence for each transmission apparatus or user.

[0011] Furthermore, in order to achieve the above object, the transmission signal in the transmission method of the present invention can be configured to be pseudo-periodic and transmitted.

[0012] Further, in order to achieve the above object, the transmission method according to the present invention can be configured such that one of the transmission data S is pilot data for measuring multipath characteristics.

In order to achieve the above object, the time series data {x, x,.

A data transmission device that transmits using a Z-sequence,

If the ZCCZ series is Z (z, _z , ···, _z ) (N is a natural number of 2 or more),

0 1 N- 1

Transmit time data X (x, X, ..., X) (M is 2

0 1 M—a natural number greater than or equal to 1)

[0014] [Equation 2]

_{Ζ (ζ 0, ζ "■■■} , ζ Ν _ 1) (8) Χ (χ 0, χ" ■ • ■ ΧΜ-,)

Means for generating and transmitting a message.

(2) is the Kronecker product.

In order to achieve the above object, the data transmission apparatus according to claim 1, wherein the ZCCZ sequence in the transmission apparatus of the present invention is a ZCCZ sequence generated by the following means 1 to 3.

Means 1: K (K is a natural number of 2 or more) Two diagonal components of L (L is a natural number of 2 or more) diagonal matrices with the same absolute value of each diagonal component With diagonal component B and When diagonal component B is assumed,

2

Diagonal component B = b b --- b --- (2)

1 10 11 ι (κ-ι)

Diagonal component B = b b --- b --- (3)

2 20 21 2 (K— 1)

And from now on

b / b, b / b,---b / b

10 20 11 21 l (K-l) 2 (K-1)

Means to find

Method 2: A pair whose diagonal component is (b / b, b / b, * '' b / b) obtained in Method 1

10 20 11 21 l (K-l) 2 (K-1)

If the angle matrix is a diagonal matrix Λ and the higher-order DFT matrix is F,

1/2 Κ

[F] [Α] * (4)

Κ 1/2

Means to perform the operation

Means 3: Means for generating a ZCCZ sequence of length X から from the Κth-order vectors of the operation results obtained by means 2

In order to achieve the above object, the codeword set creation method of the present invention includes:

ZCCZ series 歹 IJ is Z (z, z, ..., z) (N is a natural number of 2 or more)

0 1 N-1

The codeword of the existing codeword set is Χ (χ, X, ···, X) (Μ is a natural number of 2 or more)

0 1 Μ— 1

When

[Equation 3]

Ζ (ζ ₀ , _Ζι , _O X,--. X _M- ,) ·,, (1) is used to calculate another codeword Χ (χ., ■■■, χ _Μ _ _Ί ) Another codeword set is generated by generating a codeword. Ig) is the Kronecker product.

In order to achieve the above object, the ZCCZ sequence IJ in the codeword set creation method of the present invention is a ZCCZ sequence generated by the following steps 1 to 3.

Step 1: K (K is a natural number greater than or equal to 2) When two diagonal components in a certain L (L is a natural number of 2 or more) diagonal matrices are set as diagonal component and diagonal component B,

2

Diagonal component B = b b --- b --- (2)

1 10 11 ι (κ-ι)

Diagonal component B = b b --- b --- (3)

2 20 21 2 (K— 1)

And from now on

10 20 11 21 l (K-l) 2 (K-1)

And the diagonal matrix Λ is the diagonal matrix Λ, and the F-th order DFT matrix is

Κ

[F] · [Α] (4)

Κ 1/2

Operations

In addition, in order to achieve the above object, the mobile communication method of the present invention is one of ZCCZ sequence sets assigned to a zone between a base station and a mobile terminal in each of a plurality of zones. A mobile communication method for performing communication using two ZCCZ sequences, wherein a mobile terminal or a base station transmits data to be transmitted to a base station or a mobile terminal by performing a Kronecker product operation using the ZCCZ sequence. Thus, communication can be performed. The invention's effect

[0018] A data transmission method, a data transmission device, a data reception device, a codeword set creation method, and a mobile communication method that can effectively use a ZCCZ sequence and do not increase the device scale can be provided.

[0019] FIG. 1 is a diagram for explaining a variable W;

M

FIG. 2 is a diagram for explaining a DFT matrix F.

M

FIG. 3 is a diagram for explaining signal transmission using a row vector of a DFT matrix F.

M

FIG. 4 is a diagram for explaining signal transmission using a ZCCZ sequence.

FIG. 5 is a diagram for explaining an example of a ZCZ sequence. FIG. 6 is a diagram for explaining an output of a matched filter (when there is no multipath).

FIG. 7 is a diagram for explaining an output of a matched filter (when there is multipath).

FIG. 8 is a diagram (part 1) for explaining the correlation of ZCCZ sequence signals.

FIG. 9 is a diagram (part 2) for explaining the correlation of ZCCZ sequence signals.

FIG. 10 is a diagram for explaining a method of generating a ZCCZ sequence.

FIG. 11 is a diagram for explaining generation of a new codeword using a ZCZ sequence.

FIG. 12 is a diagram for explaining a ZCZ sequence generation device.

FIG. 13 is a diagram for explaining a mobile communication method.

BEST MODE FOR CARRYING OUT THE INVENTION

[0020] First, N rows and N columns of DFT (Discrete

The Fourier TransforN matrix will be described.

[0021] N rows and N columns of DFT matrix F

N

F = [f (i, j)] · '· (5)

Ν Ν

And The same applies to the higher-order inverse DFT matrix F.

N

[0022] Here, i is a row number and 0≤i≤N—l, and j is a column number and 0≤j≤N—l.

[0023] f — lij / N) / N · · · (6)

It is.

[0024] Further, as shown in Fig. 1, the variable W corresponding to the point obtained by dividing the unit circle into N is expressed as follows:

N

I will do my best.

Using this W, the DFT matrix F becomes as shown in Figure 2.

N N

Note that W is a rotor, and the following relationship is established.

N

[0027] W ^Ν = θ ^{ί2 π} = 1 · '· (8)

Ν

w ^N — ^k = w ^2N — ^k = ^... = w

N N N

••• (9)

As shown in Figure 2, the N-by-N DFT matrix F is a vector f, a vector f. It has N row vectors of Nore f. This row vector has a periodic cross-correlation

Zero in all shifts (excluding zero shift).

[0028] Therefore, as shown in FIG. 3, transmitter # 0, transmitter # 1, ..., transmitter # (N

1) Transmission data: Data S, Data S ··· Data S, row vector f

, Line vector f ...

,,,

[0029] [Equation 4]

Row vector f _N. ₀ 0 Data S ₀

Row vector _Λ (g) data S,

Row vector theta S ( _n _D

(G) is the Kronecker product.

As a result, it is possible to transmit correlated data from a plurality of transmission devices.

[0030] However, the force S et al., In the method of FIG. 3, can use more than 64 transmitters because there are only 64 row vectors, even if a 64th-order DFT matrix F is used. . Also, in order to deal with many transmitting apparatuses, it is necessary to increase the order of the DFT matrix F, and as a result, the apparatus configuration of the transmitting apparatus and the receiving apparatus becomes large.

Therefore, a data transmission method, a data transmission device, and a codeword set creation method that do not increase the device scale will be described.

In the present invention, a ZCCZ system IJ is used instead of the DFT row vector.

[0033] For example, as shown in FIG. 4, transmission device # 0, transmission device # 1, ···

, Its transmission data (length M): data S, data S ··· data S, ZC

CZ series 歹 IJ, ZCCZ series 歹 IJ · · 'ZCCZ series 歹 IJ is used to generate and transmit the following signals [0034] [Equation 5]

ZCCZ series. (g) Data s ₀

zccz series, (8) data s,

zccz series data s ( _N —

(8) is the Kronecker product.

By the way, ZCCZ series IJ has a relationship including ZCZ series. In other words, as described above, the ZC Z sequence is a one-dimensional sequence that is zero within a certain range of the periodic autocorrelation function and the periodic cross correlation function, but the ZCCZ sequence pair can be any two sequences. The periodic cross-correlation function is zero in a certain range.

[0035] In this way, since ZCCZ series IJ is only used when the cyclic cross-correlation is in the vicinity of 0 shift, the ZCCZ series IJ and the transmission data string are used to transmit the Kronecker product. As a result, data can be transmitted substantially without correlation.

[0036] Accordingly, the receiving device that receives the signal from the transmitting device # 0, the transmitting device # 1, ..., the transmitting device # (N-1) is ZCCZ system IJ, ZCCZ system IJ, ... The data S, data S ... data s can be received by the matching filter of ZCCZ series IJ.

[0037] In addition, since the row vector of the DFT matrix F is generally designed to be a two-phase or four-phase in the force ZCCZ system IJ, which is a multiphase signal, the scale of the apparatus can also be reduced from this point.

[0038] Note that a pseudo-periodic signal that is pseudo-periodic may be transmitted as a signal from each transmission apparatus. The pseudo-periodic signal copies a part of the first half and second half of the signal and adds it to the rear and front of the signal. Alternatively, a part of the second half of the signal is copied and added to the front of the signal (OFDM (Orthogonal

(Frequency Division Multiplex) is referred to as “guard inverter”).

FIG. 5 shows two ZCZ sequences. Signal A shown in Figure 5 is marked on the matched filter for signal A. As shown in Fig. 6 (A),

000000080000000

Output

When signal A is applied to the matched filter of signal B, the output shows that, as shown in Figure 6 (B),

000000000000000

Is obtained.

[0040] Similarly, when signal B shown in FIG. 5 is applied to the matched filter of signal B,

000000080000000

Output

When signal B is applied to the matched filter of signal A,

000000000000000

Is obtained.

In the case where the output of FIG. 6 (A) is obtained, if multipath occurs, the output of the filter as shown in FIG. 7 is obtained.

In FIG. 7, since it is possible to obtain reflected waves (MP1, MP2) in a time domain without noise, multipath characteristics can be obtained accurately.

[0043] In general, a signal that matches a circuit is a signal obtained by reversing an impulse response in time to form a complex conjugate, and a matched filter of a predetermined signal reverses the time of a predetermined signal.

, A complex conjugate impulse response circuit.

For example, a matched filter for a 4-chip signal (_j 1 1 1) is a circuit with an impulse response of (1 1 1 j).

(Generation method of ZCCZ series)

Next, we explain how to generate a ZCCZ sequence from a Hadamard matrix! /.

First, the case of the fourth order will be described.

[0046] (First step)

Four diagonal matrices with the same absolute value of the fourth-order diagonal components are B to B.

1 4 Diagonal matrix B to B diagonal components B diagonal component B, diagonal component B, diagonal component B And diagonal component B, diagonal component B, diagonal component B, diagonal component B and diagonal component

3 4 1 2 3

B is shown as follows.

Four

[0047] Diagonal component B: (b b b b) (1111) •• do)

00 01 02 03

Diagonal component B: (b b b b) = (1-11-1) ••• (11)

2 10 12 13

Diagonal component B: (b b b b) = (11-1-1) ••• (12)

20 21 32 23

Diagonal component B = (b b b b) = (1-1-11) '' (13)

4 30 31 32 33

Diagonal component B, diagonal component B, and diagonal component B are 4 × 4 Hadamard matrix.

2 3 4

[0048] [Equation 6]

It was created by force.

[0049] From these four diagonal components,

Next, select two diagonal components (select arbitrarily).

[0050] Diagonal component B = (b b b b) = (1111)

1 00 01 02 03

Diagonal component B = (b b b b) = (1-11-1) '(14)

2 10 11 12 13 Next, in the two diagonal components selected in the first step, the ratio of the corresponding components is obtained for each component.

[0051] b / b, b / b, b / b, b / b = (1-11-1) (15)

00 10 01 11 02 12 03 13

At this time, it is necessary that the sum of the ratios of the corresponding components is zero (in the case of equation (15), 1-1 + 1-1 = 0).

[0052] b / b + b / b + b / b + b / b = 0 (16)

00 10 01 11 02 12 03 13 A pair with (b / b, b / b, b / b, b / b) obtained in the second step as a diagonal component

00 10 01 11 02 12 03 13 If the angle matrix is Λ and the fourth-order DFT matrix is F,

1/2 4

[F] · [Α] --- (17)

4 1/2

Ask for. As a result, the following equation is obtained.

[Equation 7]

* ½ «01 02 ^a 03

. 10 ^a u ^a \ 2 13

[FJ- [A _1/2 J = ■ (18)

a20 21 ^a 22 ° 23

30 <½ 32 <¾

Rearrange the 16 matrix elements of Equation (18) into the sequence Al (a, a, ..., &

00 01

Get a).

33

[0054] This sequence becomes A1 force ZCZ series,

This will be specifically described.

[0055] [F] can be expressed by the following equation.

Four

[0056] [Equation 8]

Here, when the diagonal component of [Λ] is (1-1 1 1), equation (18) becomes

1/2

[0057] [Equation 9] 1 1 1 1 1 1

1 j-1 -j

■■■ (20)

1 1 1 1

1 ー 1 1 1 j

And

Equation (18) when the diagonal component of [Λ] is (1 1) is

1/2

[0058] [Equation 10]

'(twenty one)

It becomes.

[0059] From equation (20), the ZCZ series

Al = (l-ll-llj-l-jlllll-j-lj) (22)

Is obtained,

From (21), ZCZ series 歹 IJ

A2 = (ll-1-ll-jl-jl-l-llljlj)

Is obtained.

[0060] FIG. 8 shows the correlation of the ZCZ sequence A1. According to this, the correlation is zero at zero shift, and the correlation occurs every 4 shifts.

[0061] The same correlation is obtained for the ZCZ sequence A2. [0062] If a ZCZ sequence that becomes zero by two shifts is acceptable, a sequence obtained by shifting two from the ZCZ sequence A1 and using b can be used.

Seeking o /

[0063] The above is 2 o, in the case of 4 diagonal matrices with the same absolute value of the quartic diagonal component b

Met. Similarly, 8 diagonal rows with the same absolute value of each of the 8th-order diagonal components b

The columns are B to B, and the diagonal matrix is the diagonal component B to the diagonal component.

1 8 1 8 1

When the component B is used, the diagonal component B to the diagonal component B are expressed as follows.

[0064] Diagonal component B = (b b ••• b (24)

1 00 01 07

Diagonal component B = (b b •• b (1-11-11-11-1) ••• (25)

2 10 11 17

Diagonal component B = (b b ••• b (11-1-111-1-1) ••• (26)

3 20 21 27

Diagonal component B = (b b •• b (1-1-111-1-11) ••• (27)

4 30 31 37

Diagonal component B = (b b ••• b (1111-1-1-1-1) ••• (28)

5 40 41 47

Diagonal component B = (b b ••• b (1-11-1-11-11) ••• (29)

6 50 51 57

Diagonal component B = (b b ••• b (11-1-1-1-111) ••• (30)

7 60 61 67

Diagonal component B = (b b ••• b (1-1-11-111-1) ••• (31)

8 70 71

Even if this diagonal component B to diagonal component B are used, the length is similarly calculated by the 8th-order DFT matrix F.

1 8 8

64 ZCZ sequences can be obtained. This ZCZ 歹 IJ has a correlation every 8 shifts.

[0065] Generally, as shown in Fig. 10, a ZCZ sequence can be generated by three steps.

[0066] Step 1: K (K is a natural number greater than or equal to 2) The absolute values of each of the following diagonal components are the same. Two L of L (L is a natural number greater than or equal to 2) diagonal matrices When the diagonal component is diagonal component B and diagonal component B,

Diagonal component B = b b ••• b (32)

1 10 11

Diagonal component B = b b ••• b (33)

2 20 21:

And from now on

B / b

l (K- l) 2 (K— 1) Step 2: (b / b, b / b, • b / b) obtained in Step 1 is the diagonal component

l (K- l) 2 (K— 1)

And the diagonal matrix Λ is the diagonal matrix Λ, and the F-th order DFT matrix is [F] · [Α] * · · (34)

Κ 1/2

Steps to calculate

Step 3: Generate a ZCZ sequence of length X から from the Κth-order vectors of the result of step 2

As described above, since the ZCCZ series IJ has a relationship including the ZCZ sequence, the generation of the ZCZ series IJ generates the ZCCZ sequence.

(How to create a codeword set)

A new codeword set can be created using the ZCCZ sequence.

[0067] For example, as shown in FIG. 11, P codewords S and codewords S · o 1 in a codeword set of length Q

• Codeword S is used as ZCCZ series 、 IJ and ZCCZ series 歹 IJ · 'ZCCZ series 歹 IJ, respectively.

(P-1) 0 1 (P-1)

[0068] [Equation 11]

ZCCZ series. Codeword s.

zccz sequence, <8) codeword s,

ZCCZ sequence ( _p —,) codeword S)

As a result, a new code word can be generated from the existing code word.

Is the Kronecker product.

(Generator for ZCCZ series)

As shown in FIG. 12, a ZCCZ sequence can be generated by three means. Mean 1: K (K is a natural number of 2 or more) The absolute value of each diagonal component is the same

When two diagonal components of L (L is a natural number of 2 or more) diagonal matrices are diagonal component B and diagonal component B, Diagonal component B = bb --- b --- (35)

1 10 11 l (K-l)

Diagonal component B = b b --- b --- (36)

2 20 21 2 (K— 1)

And from now on

b / b, b / b,---b / b

10 20 11 21 l (K-l) 2 (K-1)

Means to find

10 20 11 21 l (K-l) 2 (K-1)

1/2 Κ

[F] [Α] * (37)

Κ 1/2

Means to perform the operation

Mean 3: Means for generating a ZCCZ sequence of length から from Κ Κ-order vectors of the result of operation 2

(Mobile communication method)

A mobile communication method in which communication is performed between a base station and a mobile terminal in each of a plurality of zones using one ZCCZ sequence of ZCCZ sequence sets assigned to the zone will be described.

[0070] Base stations A, B, and C communicate with mobile terminals in zones 101, 102, and 103, respectively.

In the present invention, a ZCCZ sequence set used for communication is assigned to the zones 101, 102, and 103 in advance. For example, as shown in FIG. 13, a set of ZCCZ1 is assigned to zone 101, a set of ZCCZ2 is assigned to zone 102, and a set of ZCCZ3 is assigned to zone 103.

[0071] In the zone 101, the mobile terminal communicates with the base station A using one of the set of ZCCZ1 allocated by the base station A. Similarly, the mobile terminal communicates with base station B using one of the set of ZCCZ2 assigned by base station B in zone 102 and assigned by base station C in zone 103. Communicate with base station C using one of the ZCCZ3 sets.

[0072] The set of ZCCZ1 is

ZCCZ10

ZCCZ11 ZCCZ1X

Consisting of X zccz series of

The setting of ZCCZ2 is

ZCCZ20

ZCCZ21

ZCCZ2Y

Consisting of Y ZCCZ series of

The setting of ZCCZ3 is

ZCCZ30

ZCCZ31

ZCCZ3Z

Consists of Z ZCCZ series!

[0073] The present invention is not limited to the specifically disclosed embodiments, and various modifications and embodiments are possible without departing from the scope of the claimed invention. For this reason, the above-described embodiments are merely examples in all respects and should not be interpreted in a limited manner. The scope of the present invention is indicated by the scope of claims, and is not restricted by the text of the specification.

[0074] This international application claims priority based on Japanese Patent Application No. 2006-251182 filed on September 15, 2006. All of Japanese Patent Application No. 2006-251182 The contents are incorporated into this international application.

Claims

The scope of the claims

b

This is a data transmission method that transmits time-required system / column data {χ, X, ···} using a ZCCZ sequence.

0 1

2

o

b

If the ZCCZ series is Z (z, z, ···, z) (N is a natural number greater than or equal to 2), b 0 1 N-1

2

The transmitting device divides the time-series data into M pieces and transmits the transmission data X (x, X, ..., X

0 1 M

―) (M is a natural number of 2 or more)

The transmitter is

[Equation 12]

Z (z ₀ _,, …, _¾ _,) (8) X (χ ₀ , _Χι ,…,)

A data transmission method characterized by generating and transmitting data.

Note that 0 is the Kronecker product.

[2] The data transmission method, wherein the ZCCZ sequence is a ZCCZ sequence generated by the following steps 1 to 3.

Diagonal component B

And from now on

B / b

l (K-l) 2 (K— 1) Step 2: (b / b, b / b, • b / b) obtained in Step 1 is the diagonal component

l (K-l) 2 (K— 1)

[F] · [Α] (4)

Κ 1/2 Steps to calculate

Step 3: Generate a ZCCZ sequence of length X K from the K Kth-order vectors of the result of Step 2

[3] The data transmission method according to claim 1 or 2, wherein the ZCCZ sequence is a different sequence for each transmission device or user.

[4] The data transmission method according to any one of claims 1 to 3, wherein the signal of the formula (1) is transmitted after being pseudo-periodic.

5. The data transmission method according to claim 1, wherein one of the transmission data is pilot data for measuring a multipath characteristic.

[6] A data transmission device that transmits time-series data {x, X, ...} using a ZCCZ sequence.

0 1

About

When ZCCZ series is Z (z, z, ..., z) (N is a natural number of 2 or more)

0 1 N-1

Transmit time data X (x, X, ..., X) (M is 2

0 1 M— 1

Means to generate the above natural numbers)

[Equation 13]

Ζ (Ζ ₀ , _Ζ " _··· , _ΖΝ —,) (8) _手段 (χ ₀ , χ" ..., 1,)---(1) Data transmission device. Cg> is the Kronecker product.

The data transmission device, wherein the ZCCZ sequence is a ZCCZ sequence generated by the following means 1 to means 3.

Means 1: K (K is a natural number of 2 or more) The absolute values of the diagonal components of the order are the same. Two diagonal components of L (L is a natural number of 2 or more) diagonal matrices Is diagonal component B and diagonal component B,

2

Diagonal component B = b b --- b --- (2)

1 10 11 ι (κ-ι)

Diagonal component B = bb --- b --- (3) And from now on

b / b, b / b,---b / b

10 20 11 21 l (K-l) 2 (K-1)

Means to find

10 20 11 21 l (K-l) 2 (K-1)

1/2 Κ

[F] [Α] * (4)

Κ 1/2

Means to perform the operation

8. The data transmission device according to claim 6, wherein the ZCCZ sequence is a different sequence for each transmission device or user.

9. The data transmission device according to claim 6, wherein the signal of the formula (1) is transmitted after being pseudo-periodic.

[10] A receiving device that receives a signal transmitted from the data transmitting device according to any one of claims 6 and 9, and a deviation.

[11] In the codeword set creation method,

ZCCZ series 歹 IJ is Z (z, z, ..., z) (N is a natural number of 2 or more)

0 1 N-1

The codeword of the existing codeword set is Χ (χ, X, ..., X) (以上 is a natural number of 2 or more)

0 1 Μ— 1

When

[Equation 14]

From the codeword Χ (χ ₀ , _Xl , · ■■, χ _Μ —,)

By generating another codeword, another set of codewords

A method of creating a codeword set characterized by generating.

<8) is the Kronecker product. [12] The codeword set creation method, wherein the ZCCZ sequence is a ZCCZ sequence generated by the following steps 1 to 3.

2

Diagonal component B = b b --- b --- (2)

1 10 11 ι (κ-ι)

Diagonal component B = b b --- b --- (3)

2 20 21 2 (K— 1)

And from now on

10 20 11 21 l (K-l) 2 (K-1)

Κ

[F] · [Α] (4)

Κ 1/2

Operations

[13] A mobile communication method in which communication is performed between a base station and a mobile terminal in each of a plurality of zones using one ZCCZ sequence of ZCCZ sequence sets assigned to the zone.

6. A mobile communication method in which a mobile terminal or a base station communicates with a base station or a mobile terminal using the data transmission method according to claim 1.