JP5113063B2 - Data transmission method, data transmission device, data reception device, codeword set creation method, and mobile communication method - Google Patents

Description

  The present invention relates to a data transmission method, a data transmission device, a data reception device, and a codeword set creation method, and more particularly, to a data transmission method, a data transmission device, and a codeword set using a ZCCZ (Zero Cross Correlation Zone) sequence. It relates to the creation method.

  Ideally, a sequence in which the autocorrelation function is an impulse and the cross-correlation function is zero is used as a CDMA spreading code.

  However, since the number of such sequences is small, a CDMA communication system in which a one-dimensional sequence that becomes zero within a certain range of autocorrelation function and periodic cross-correlation function is ZCZ (zero Correlation Zone) Sequence is a spreading code is used. (For example, refer to Patent Document 1).

A technique is also known in which a DFT (Discrete Fourier Transform) row vector and a Kronecker product of an arbitrary random sequence are used for transmission (see, for example, Patent Document 2).
JP 2001-94466 A JP2003-23675

  However, when the ZCZ sequence is a spreading code, the autocorrelation function and the cross-correlation function, which are the characteristics 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). .) Features are not being used effectively.

  Further, 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.

  The present invention has been made in view of the above problems, and provides a data transmission method, a data transmission device, a data reception device, a codeword set creation method, and a mobile communication method that make effective use of ZCCZ sequences and do not increase the device scale. It is intended to do.

In order to achieve the above object, the data transmission method for transmitting the time series data {x ₀ , x ₁ ,...} According to the present invention using the ZCCZ sequence includes the ZCCZ sequence as Z (z ₀ , z ₁ , .., Z _N-1 ) (N is a natural number greater than or equal to 2), the transmission device divides the time-series data into M pieces and transmits the transmission data X (x ₀ , x ₁ ,. , X _M-1 ) (M is a natural number of 2 or more),
Furthermore, the transmission device

また、上記目的を達成するために、本発明の送信方法における前記ＺＣＣＺ系列は、次のステップ１〜ステップ３のステップにより生成されたＺＣＣＺ系列であることを特徴とする。

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 of 2 or more) Two diagonal components of L (L is a natural number of 2 or more) diagonal matrices in which the absolute values of the respective diagonal components are the same Is a diagonal component B ₁ and a diagonal component B ₂ ,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K−1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K−1)} (3)
And from now on
_{b 10 / b 20, b 11} / b 21, ··· b 1 (K-1) / b 2 (K-1)
Step 2: A pair having diagonal components of (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) determined in Step 1. When the angle matrix is a diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
Step 3: A step of generating a ZCCZ sequence of length K × K from the K K-order vectors of the calculation result of Step 2 In order to achieve the above object, the ZCCZ sequence of the present invention Can be configured to be different series for each transmission device or user.

  Moreover, in order to achieve the said objective, it can comprise so that the transmission signal in the transmission method of this invention may be pseudo-cycled and transmitted.

  In order to achieve the above object, one of transmission data in the transmission method of the present invention can be configured to be pilot data for multipath characteristic measurement.

In order to achieve the above object, a data transmitting apparatus that transmits time-series data {x ₀ , x ₁ ,...} According to the present invention using a ZCCZ sequence,
When the ZCCZ series is Z (z ₀ , z ₁ ,..., Z _N−1 ) (N is a natural number of 2 or more),
Means for generating transmission data X (x ₀ , x ₁ ,..., X _M−1 ) (M is a natural number of 2 or more) by dividing time-series data into M pieces.

また、上記目的を達成するために、本発明の送信装置における前記ＺＣＣＺ系列は、次の手段１〜手段３の手段により生成されたＺＣＣＺ系列であることを特徴とするデータ送信装置。

In order to achieve the above object, the data transmission apparatus characterized in that the ZCCZ sequence in the transmission apparatus of the present invention is a ZCCZ sequence generated by means of the following means 1 to means 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 in which the absolute values of the respective diagonal components are the same Is a diagonal component B ₁ and a diagonal component B ₂ ,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K−1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K−1)} (3)
And from now on
_{b 10 / b 20, b 11} / b 21, ··· b 1 (K-1) / b 2 (K-1)
Means 2: A pair having diagonal components of (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) obtained by means 1. When the angle matrix is a diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
Means 3: Means for generating a ZCCZ sequence of length K × K from the K Kth-order vectors of the result of computation by means 2 In order to achieve the above object, the codeword of the present invention How to create a set
The ZCCZ series is Z (z ₀ , z ₁ ,..., Z _N−1 ) (N is a natural number of 2 or more),
When the codeword of the existing codeword set is X (x ₀ , x ₁ ,..., X _M−1 ) (M is a natural number of 2 or more),

また、上記目的を達成するために、本発明の符号語セットの作成方法における前記ＺＣＣＺ系列は、次の１〜３のステップにより生成されたＺＣＣＺ系列であることを特徴とする。

In order to achieve the above object, the ZCCZ sequence 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 of 2 or more) Two diagonal components of L (L is a natural number of 2 or more) diagonal matrices in which the absolute values of the respective diagonal components are the same Is a diagonal component B ₁ and a diagonal component B ₂ ,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K−1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K−1)} (3)
And from now on
_{b 10 / b 20, b 11} / b 21, ··· b 1 (K-1) / b 2 (K-1)
Step 2: A pair having diagonal components of (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) determined in Step 1. When the angle matrix is a diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
Step 3: A step of generating a ZCCZ sequence of length K × K from the K K-order vectors of the calculation result of Step 2 In order to achieve the above object, the mobile communication of the present invention A method is 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. Alternatively, the base station can be configured to perform communication by performing transmission of data to be transmitted to the base station or the mobile terminal by performing a Kronecker product operation using the ZCCZ sequence.

  It is possible to provide a data transmission method, a data transmission device, a data reception device, a codeword set creation method, and a mobile communication method that effectively utilize a ZCCZ sequence and do not increase the device scale.

It is a figure for _{demonstrating the} variable WM. It is a diagram for explaining the DFT matrix _{F M.} It is a diagram for explaining the transmission of the signal using the row vectors of the DFT matrix F _M. It is a figure for demonstrating transmission of the signal using a ZCCZ series. It is a figure for demonstrating the example of a ZCZ series. It is a figure for demonstrating the output (when there is no multipass) of a matched filter. It is a figure for demonstrating the output (when there exists multipath) of a matched filter. It is FIG. (1) for demonstrating the correlation of a ZCCZ series signal. FIG. 6 is a diagram (part 2) for explaining the correlation of a ZCCZ sequence signal. It is a figure for demonstrating the production | generation method of a ZCCZ series. It is a figure for demonstrating the production | generation of the new codeword using a ZCZ series. It is a figure for demonstrating the production | generation apparatus of a ZCZ series. It is a figure for demonstrating a mobile communication method.

First, N rows and N columns of DFT (Discrete)
(Fourier TransN) matrix will be described.

N rows and N columns of a DFT matrix F _N ,

F _N = [f _N (i, j)] (5)
And Incidentally, the same also N-order inverse DFT matrix _{F N.}

  Here, i is a row number and 0 ≦ i ≦ N−1, and j is a column number and 0 ≦ j ≦ N−1.

F _N (i, j) = exp (2π√-1ij / N) / √N (6)
It is.

Further, as shown in FIG. 1, a variable W _N corresponding to a point obtained by dividing the unit circle into N is defined as follows.

W _N ≡exp (2π√-1) / N (7)

When this W _N is used, the DFT matrix F _N becomes as shown in FIG.

W _N is a rotor, and the following relationship is established.

W _N ^N = e ^j2π = 1 (8)
W _N ^N−k = W _N ^2N−k = ・ ・ ・ = W _N ^−k
... (9)
As shown in FIG. 2, the N-row N-column DFT matrix F _N has N row vectors of vectors f _{N, 0} , vectors f _{N, 1,} ..., Vectors f _{N, N−1} . . The row vectors have zero periodic cross-correlation in all shifts (excluding zero shift).

Therefore, as shown in FIG. 3, transmission data of transmission device # 0, transmission device # 1,..., Transmission device # (N−1): data S _O , data S ₁ ... Data S _{(N− 1)} using row vectors f _{N, 0} , row vectors f _{N, 1} ... Row vectors f _{N, N−1 respectively} ,

として、送信することにより、複数の送信装置から、相関なく、データを送信することができる。

As a result, data can be transmitted from a plurality of transmission devices without correlation.

However, in the method of FIG. 3, the row vector that can be used, even with 64-order DFT matrix F _N, since 64 only, it more transmission apparatus can not cope. Also, when you try to address many of the transmitting apparatus, it is necessary to increase the order of the DFT matrix F _N, as a result, device configuration becomes large in transmitter and receiver.

  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 sequence is used instead of the DFT row vector.

For example, as shown in FIG. 4, the transmission device # 0, the transmission device # 1,..., The transmission device # (N-1) has its transmission data (length M): data S _O , data S _1. Data S _(N-1) is generated and transmitted using the ZCCZ sequence ₀ , ZCCZ sequence _1, ... ZCCZ sequence _(N-1) , respectively.

ところで、ＺＣＣＺ系列は、ＺＣＺ系列を含む関係にある。つまり、上述したように、ＺＣＺ系列は、周期自己相関関数と周期相互相関関数がある範囲でゼロとなる一次元系列であるが、ＺＣＣＺ系列の組は、その内の任意の二つの系列の周期相互相関関数がある範囲でゼロとなるものである。

By the way, the ZCCZ sequence has a relationship including the ZCZ sequence. That is, as described above, the ZCZ 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 set of ZCCZ sequences is the period of any two of the sequences. The cross-correlation function is zero within a certain range.

  As described above, since the ZCCZ sequence has a periodic cross-correlation that is zero only in a shift in the vicinity of 0 shift, the KCC is multiplied by the ZCCZ sequence and the transmission data sequence, and transmission is substantially performed. Data can be transmitted.

Therefore, the transmission apparatus # 0, transmission apparatus # 1, ..., a receiving device for receiving signals from the transmitter # (N-1) is, ZCCZ sequence _0, ZCCZ sequence _1, ..., ZCCZ series _{(N -1)} can receive data S _O , data S ₁ ... Data S _(N−1) .

Although the row vectors of the DFT matrix F _N is the general multi-phase signals, the ZCCZ sequence, so can be designed in a two-phase or four-phase, can also be reduced apparatus size from this point.

In addition, you may make it transmit the pseudo-periodic signal which made the signal from each transmission device pseudo-periodic. 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 latter half of the signal is copied and added to the front of the signal (OFDM (Orthogonal).
(Frequency Division Multiplex) is referred to as “guard interval”).

FIG. 5 shows two ZCZ series. When the signal A shown in FIG. 5 is applied to the matched filter of the signal A, as shown in FIG.
000000080000000
Output
When signal A is applied to the matched filter of signal B, from its output, as shown in FIG.
000000000000000000
Is obtained.

Similarly, when the signal B shown in FIG. 5 is applied to the matched filter of the signal B, from the output,
000000080000000
Output
When signal B is applied to the matched filter of signal A, 000000000000000000 from its output
Is obtained.

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

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

  In general, a signal that matches a circuit is a signal obtained by reversing the impulse response in time to form a complex conjugate, and a matched filter of a given signal reverses the time of the given signal to produce a complex conjugate. It is a 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).
(ZCCZ sequence generation method)
Next, a method for generating a ZCCZ sequence from a Hadamard matrix will be described.

  First, a quaternary case will be described.

(First step)
The four diagonal matrices having the same absolute value of the fourth-order diagonal components are defined as B _{1 to} B _4, and the diagonal components of B _{1 to} B ₄ are defined as the diagonal components B _1. , Diagonal component B ₂ , diagonal component B ₃ and diagonal component B ₄ , diagonal component B ₁ , diagonal component B ₂ , diagonal component B ₃ and diagonal component B ₄ are as follows: Shown in

Diagonal component B ₁ = (b ₀₀ b ₀₁ b ₀₂ b ₀₃ ) = (1111) (10)
Diagonal component B ₂ = (b ₁₀ b ₁₁ b ₁₂ b ₁₃ ) = (1-11-1) (11)
Diagonal component B ₃ = (b ₂₀ b ₂₁ b ₃₂ b ₂₃ ) = (11-1-1) (12)
Diagonal component B ₄ = (b ₃₀ b ₃₁ b ₃₂ b ₃₃ ) = (1-1-111) (13)
The diagonal component B ₂ , the diagonal component B _3, and the diagonal component B ₄ are 4 × 4 Hadamard matrices.

から作成したものである。

It was created from.

From these four diagonal components,
Next, two diagonal components are selected (selected arbitrarily).

Diagonal component B ₁ = (b ₀₀ b ₀₁ b ₀₂ b ₀₃ ) = (1111)
Diagonal component B ₂ = (b ₁₀ b ₁₁ b ₁₂ b ₁₃ ) = (1-11-1) (14)
(Second step)
Next, in the two diagonal components selected in the first step, a ratio of corresponding components is obtained for each component.

b ₀₀ / b ₁₀ , b ₀₁ / b ₁₁ , b ₀₂ / b ₁₂ , b ₀₃ / b ₁₃ = (1-11-1) (15)
At this time, the sum of the ratios of the corresponding components needs to be zero (1-1 + 1-1 = 0 in the formula (15)).

b ₀₀ / b ₁₀ + b ₀₁ / b ₁₁ + b ₀₂ / b ₁₂ + b ₀₃ / b ₁₃ = 0 (16)
(Third step)
A diagonal matrix Λ _1/2 having diagonal components (b ₀₀ / b ₁₀ , b ₀₁ / b ₁₁ , b ₀₂ / b ₁₂ , b ₀₃ / b ₁₃ ) obtained in the second step is used, and 4 when the next of DFT matrix and the _{F 4,}
[F ₄ ] · [Λ _1/2 ] (17)
Ask for. As a result, the following equation is obtained.

式（１８）の１６個の行列の要素を、並べなおして、シーケンスＡ１（ａ_００、ａ_０１、・・・、ａ_３２、ａ_３３）を得る。

The elements of the 16 matrices of Equation (18) are rearranged to obtain the sequence A1 (a ₀₀ , a ₀₁ ,..., A ₃₂ , a ₃₃ ).

This sequence A1 becomes a ZCZ series.
This will be specifically described.

[F ₄ ] can be expressed by the following equation.

ここで、［Λ_１／２］の対角成分が、（１−１ １−１）の場合は、式（１８）は、

Here, when the diagonal component of [Λ _1/2 ] is (1-1 1-1), Equation (18) is

となり、
［Λ_１／２］の対角成分が、（１ １ −１−１）の場合の式（１８）は、

And
Equation (18) when the diagonal component of [Λ _1/2 ] is (1 1 -1-1) is

となる。

It becomes.

From the equation (20), the ZCZ sequence A1 = (1-11-1-11j-1-j11111-j-1j) (22)
Is obtained,
From (21), ZCZ sequence A2 = (11-1-11-j1-j1-11-111j1j) (23)
Is obtained.

  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.

  The same correlation is obtained for the ZCZ sequence A2.

  If a ZCZ sequence that becomes zero by two shifts is acceptable, a sequence shifted by two from the ZCZ sequence A1 can be used.

The above is the case of four diagonal matrices in which the absolute values of the fourth-order diagonal components are the same. Similarly, eight diagonal matrices having the same absolute value of each of the eighth-order diagonal components are defined as B _{1 to} B ₈ , and the diagonal matrices are defined as diagonal components of B _{1 to} B ₈ . When the component B ₁ to the diagonal component B ₈ are used, the diagonal component B ₁ to the diagonal component B ₈ are expressed as follows.

Diagonal component B ₁ = (b ₀₀ b ₀₁ ... B ₀₇ ) = (11111111) (24)
Diagonal component B ₂ = (b ₁₀ b ₁₁ ... B ₁₇ ) = (1-11-11-11-1) (25)
Diagonal component B ₃ = (b ₂₀ b ₂₁ ... B ₂₇ ) = (11-1-111-1-1) (26)
Diagonal component B ₄ = (b ₃₀ b ₃₁ ... B ₃₇ ) = (1-1-1111-1-11) (27)
Diagonal component B ₅ = (b ₄₀ b ₄₁ ... B ₄₇ ) = (1111-1-1-1) (28)
Diagonal component B ₆ = (b ₅₀ b ₅₁ ... B ₅₇ ) = (1-11-1-11-11) (29)
Diagonal component B ₇ = (b ₆₀ b ₆₁ ... B ₆₇ ) = (11-1-1-1-111) (30)
Diagonal component B ₈ = (b ₇₀ b ₇₁ ... B ₇₇ ) = (1-1−11-1111-1) (31)
Similarly, using the diagonal component B ₁ to the diagonal component B ₈ , a length 64 ZCZ sequence can be obtained by the eighth-order DFT matrix F ₈ . In the ZCZ sequence, a correlation occurs every 8 shifts.

  In general, as shown in FIG. 10, a ZCZ sequence can be generated by three steps.

Step 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 in which the absolute values of the respective diagonal components are the same Is a diagonal component B ₁ and a diagonal component B ₂ ,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K−1)} (32)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K−1)} (33)
And from now on
_{b 10 / b 20, b 11} / b 21, ··· b 1 (K-1) / b 2 (K-1)
Step 2: A pair having diagonal components of (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) determined in Step 1. When the angle matrix is a diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (34)
Step 3: Step of generating a ZCZ sequence of length K × K from the K K-th order vectors of the calculation result of Step 2. As described above, the ZCCZ sequence includes a ZCZ sequence. Since there is a relationship, generating a ZCZ sequence also generates a ZCCZ sequence.
(How to create a codeword set)
A new codeword set can be created using the ZCCZ sequence.

For example, as shown in FIG. 11, P codewords S _O , codeword S ₁ ... Codeword S _(P−1) of a codeword set of length Q are respectively converted into a ZCCZ sequence ₀ and a ZCCZ sequence. ₁ ... Using the ZCCZ series _(P-1) ,

（ＺＣＣＺ系列の生成装置）
図１２に示すように、３つの手段により、ＺＣＣＺ系列を生成することができる。

(Generator for ZCCZ series)
As shown in FIG. 12, a ZCCZ sequence can be generated by three means.

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 in which the absolute values of the respective diagonal components are the same Is a diagonal component B ₁ and a diagonal component B ₂ ,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K−1)} (35)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K−1)} (36)
And from now on
_{b 10 / b 20, b 11} / b 21, ··· b 1 (K-1) / b 2 (K-1)
Means 2: A pair having diagonal components of (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) obtained by means 1. When the angle matrix is a diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (37)
Means 3: Means for generating a ZCCZ sequence of length K × K from the K K-order vectors of the computation result of means 2 (mobile communication method)
A mobile communication method for performing communication 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.

  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 ZCCZ1 set is assigned to the zone 101, a ZCCZ2 set is assigned to the zone 102, and a ZCCZ3 set is assigned to the zone 103.

  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 ZCCZ3 assigned by base station C in zone 103. Communicate with the base station C using one of the sets.

In addition, the set of ZCCZ1 is
ZCCZ10
ZCCZ11
・
・
ZCCZ1X
Of X ZCCZ series,
The ZCCZ2 set is
ZCCZ20
ZCCZ21
・
・
ZCCZ2Y
Of Y ZCCZ series,
The ZCCZ3 set is
ZCCZ30
ZCCZ31
・
・
ZCCZ3Z
Of Z ZCCZ series.

  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.

  This international application claims priority based on Japanese Patent Application No. 2006-251182 filed on Sep. 15, 2006. The entire contents of Japanese Patent Application No. 2006-251182 are hereby incorporated by reference. Included in international applications.

Claims (10)

A data transmission method for transmitting time series data {x ₀ , x ₁ ,...} Using a ZCCZ sequence,
When the ZCCZ sequence is Z (z ₀ , z ₁ ,..., Z _N-1 ) (N is a natural number of 2 or more),
The transmission apparatus divides the time-series data into M pieces, generates transmission data X (x ₀ , x ₁ ,..., X _M-1 ) (M is a natural number of 2 or more), and further transmits The device

To generate and transmit to the,
The ZCCZ series is
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 having the same absolute value of each of the diagonal components are diagonal. When component B ₁ and diagonal component B ₂ are used,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K-1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K-1)} (3)
And from now on
b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... b _{1 (K-1)} / b _{2 (K-1)}
A first step for determining
A diagonal matrix having (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) obtained in the first step as a diagonal component When the diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
A second step of performing the operation of
A third step of generating a ZCCZ sequence of length K × K from K K-order vectors of the operation result of the second step;
A data transmission method characterized by being a ZCCZ sequence generated by . The ZCCZ series, the data transmission method of claim 1, wherein the each transmission device or the user, a different sequence. The data transmission method according to claim 1 or 2 , wherein the signal of the formula (1) is transmitted after being pseudo-periodic. One transmit data, the data transmission method according to any one of claims 1 to 3, characterized in that the pilot data for the multipath characteristic measurement. A data transmission device that transmits time-series data {x ₀ , x ₁ ,...} Using a ZCCZ sequence,
When the ZCCZ sequence is Z (z ₀ , z ₁ ,..., Z _N-1 ) (N is a natural number of 2 or more),
Means for generating transmission data X (x ₀ , x ₁ ,..., X _M-1 ) (M is a natural number of 2 or more) by dividing time-series data into M pieces.

Have a means for generating and transmitting to the,
The ZCCZ series is
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 having the same absolute value of each of the diagonal components are diagonal. When component B ₁ and diagonal component B ₂ are used,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K-1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K-1)} (3)
And from now on
b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... b _{1 (K-1)} / b _{2 (K-1)}
A first means for obtaining
A diagonal matrix having (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K-1)} / b _{2 (K-1)} ) obtained by the first means as a diagonal component When the diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
A second means for calculating
A third means for generating a ZCCZ sequence having a length of K × K from K K-order vectors of the calculation result obtained by the second means;
A data transmission apparatus characterized by being a ZCCZ sequence generated by the above . 6. The data transmission apparatus according to claim 5 , wherein the ZCCZ series is a different series for each transmission apparatus or user. The data transmission apparatus according to claim 5, wherein the signal of the formula (1) is transmitted after being pseudo-periodic. Receiving apparatus for receiving a signal transmitted from the data transmitting apparatus according to any one of claims 5-7. In the codeword set creation method,
The ZCCZ series is Z (z ₀ , z ₁ ,..., Z _N-1 ) (N is a natural number of 2 or more),
When the codeword of the existing codeword set is X (x ₀ , x ₁ ,..., X _M−1 ) (M is a natural number of 2 or more),

To generate another codeword set by generating another codeword from the codeword X (x ₀ , x ₁ ,..., X _M−1 ) ,
The ZCCZ series is
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 having the same absolute value of each of the diagonal components are diagonal. When component B ₁ and diagonal component B ₂ are used,
Diagonal component B ₁ = b ₁₀ b ₁₁ ... B _{1 (K-1)} (2)
Diagonal component B ₂ = b ₂₀ b ₂₁ ... B _{2 (K-1)} (3)
And from now on
b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... b _{1 (K-1)} / b _{2 (K-1)}
A first step for determining
A diagonal matrix having (b ₁₀ / b ₂₀ , b ₁₁ / b ₂₁ ,... B _{1 (K−1)} / b _{2 (K−1)} ) obtained in the first step as a diagonal component When the diagonal matrix Λ _1/2 and the K-th order DFT matrix is F _K ,
[F _K ] · [Λ _1/2 ] (4)
A second step of performing the operation of
A third step of generating a ZCCZ sequence of length K × K from K K-order vectors of the operation result of the second step;
A method of creating a codeword set, characterized in that the codeword set is a ZCCZ sequence generated by . A mobile communication method for performing communication 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,
The mobile communication method which a mobile terminal or a base station communicates with a base station or a mobile terminal using the data transmission method as described in any one of Claim 1 thru | or 4 .

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