JP2005249989A - Sound field control method - Google Patents

Sound field control method Download PDF

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JP2005249989A
JP2005249989A JP2004058500A JP2004058500A JP2005249989A JP 2005249989 A JP2005249989 A JP 2005249989A JP 2004058500 A JP2004058500 A JP 2004058500A JP 2004058500 A JP2004058500 A JP 2004058500A JP 2005249989 A JP2005249989 A JP 2005249989A
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sound field
control method
matrix
filters
field control
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Takashi Uematsu
尚 植松
Yoichi Haneda
陽一 羽田
Akitoshi Kataoka
章俊 片岡
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Nippon Telegraph and Telephone Corp
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a sound field control method in which characteristics having impulse response of precision with a previously set permissible error can be reproduced at each control point without increasing the number of speakers as the number of control points increases. <P>SOLUTION: In the sound field control method which has N pieces of filters 20 where the same input signal is inputted and N (N≥2) output elements 40 applying outputs to the N filters respectively and determine characteristics of the N filters so that predetermined desird signal transmission characteristics are reproduced at M pieces (M≥N+1) control points (where microphones 50 are arranged), the filter characteristics are determined by using precision corresponding to permissible ranges of errors set by the control points. <P>COPYRIGHT: (C)2005,JPO&NCIPI

Description

本発明は、室内などの空間の音場特性を変化させる音場制御方法に関する。   The present invention relates to a sound field control method for changing sound field characteristics of a space such as a room.

空間内の任意の点の音圧を自由に制御することが可能になると、例えば前方にのみ置いたスピーカを用いて、あたかも後方から音が鳴っているような音を作り出すことができる、あるいはコンサートホールの響きを、自宅にいながらにして味わうことが可能となる、さらには、ある限られたエリア内のみに音を再生することが可能となるなど、工学的に広く応用が考えられる。この空間内の複数の任意の点の音圧を制御する方法の一つとして、多チャンネル制御装置が提案されている(特許文献1)。この多チャンネル制御装置を用いることで、スピーカの数よりも少なくとも1つ以上少ない点音圧を厳密に制御することができる。しかし、制御する点数が多くなるにしたがってスピーカの数を増やす必要がありシステムが大規模になるため、使用できる場所などに制限が生じることとなる。
一方、制御点より少ない数のスピーカを用いて、制御点における音圧を二乗誤差最小という尺度に基づいて制御する装置を構成する手法の概念が報告されている(非特許文献1)。
When it becomes possible to freely control the sound pressure at any point in the space, for example, a speaker placed only in the front can be used to create a sound as if it is sounding from the back, or a concert The sound of the hall can be enjoyed while at home, and the sound can be reproduced only within a limited area. As one method for controlling sound pressures at a plurality of arbitrary points in this space, a multi-channel control device has been proposed (Patent Document 1). By using this multi-channel control device, it is possible to strictly control a point sound pressure that is at least one less than the number of speakers. However, it is necessary to increase the number of speakers as the number of points to be controlled increases, and the system becomes large, so that the place where it can be used is limited.
On the other hand, the concept of a method for configuring an apparatus that controls the sound pressure at a control point on the basis of the minimum square error using a smaller number of speakers than the control point has been reported (Non-Patent Document 1).

図1を用いて、この音場制御手法を説明する。
図1において、N個(N≧2)のスピーカ(出力素子)200i(i=1,2,・・・,N)が空間に配置される。またその空間にM個の制御点(マイクロホンが配置された位置)が設定される。図1では、各制御点にマイクロホン300j(j=1,2,・・・,M)が設置されている。入力から同一の入力信号がそれぞれFIRフィルタ100i(i=1,2,・・・,N)を通じてスピーカ200iに印加される。これらFIRフィルタ100iの各フィルタ係数を制御することによりそれぞれスピーカに印加される信号を個別に制御することができる。
ここで、N個のスピーカとM個の制御点との間の各インパルス応答はすべて同じ有限の長さmを持つ離散的時系列で表すことができる。各制御点についてそれぞれ想定されるM個の所望のインパルス応答をaj(j=1,2,・・・,M)、マイクロホンとスピーカ間のインパルス応答をhi,j(i=1,2,・・・,N,j=1,2,・・・,M)、各フィルタの係数をwi(i=1,2,・・・,N)としたとき、
を満足するwiを求めれば、各制御点において所望のインパルス応答が得られる。しかし、M>Nの場合方程式は不能となるので、実際には二乗誤差が最小となるwiを求めることとなる。
The sound field control method will be described with reference to FIG.
In FIG. 1, N (N ≧ 2) speakers (output elements) 200 i (i = 1, 2,..., N) are arranged in a space. In addition, M control points (positions where microphones are arranged) are set in the space. In FIG. 1, a microphone 300 j (j = 1, 2,..., M) is installed at each control point. The same input signal from the input is applied to the speaker 200 i through the FIR filter 100 i (i = 1, 2,..., N). By controlling the filter coefficients of these FIR filters 100 i, the signals applied to the speakers can be individually controlled.
Here, each impulse response between the N speakers and the M control points can be represented by a discrete time series having the same finite length m. M desired impulse responses assumed for each control point are a j (j = 1, 2,..., M), and the impulse response between the microphone and the speaker is h i, j (i = 1, 2). ,..., N, j = 1, 2,..., M), and when the coefficients of each filter are w i (i = 1, 2,..., N),
If w i satisfying is obtained, a desired impulse response can be obtained at each control point. However, when M> N, the equation becomes impossible, so in practice, w i that minimizes the square error is obtained.

以後、説明を簡単にするために(1)式の左辺をA、右辺の行列とベクトルをそれぞれH,Wと表記する。この場合(1)式は(2)式のように表すことができる。
で求めることができる。ここで「+」は行列の擬似逆行列を表す。
Hereinafter, in order to simplify the description, the left side of equation (1) is denoted by A, and the right side matrix and vector are denoted by H and W, respectively. In this case, equation (1) can be expressed as equation (2).
Can be obtained. Here, “ + ” represents a pseudo-inverse matrix.

しかしこの手法では、誤差が最小となるようにフィルタ係数を求めるものであり、原理的に誤差を含んでいる。その誤差が、制御点ごとにどの程度含まれていることになるかは分からず、またその誤差の程度を制御することも現時点では不可能である。
特許第2558445号(請求項1) 柳田 他 J. Acoust. Soc. Jpn(E), Vol.4, No.2, pp.107-109(1983)
However, in this method, the filter coefficient is obtained so as to minimize the error, and the error is included in principle. It is unknown how much the error is included in each control point, and it is impossible to control the degree of the error at the present time.
Japanese Patent No. 2558445 (Claim 1) Yanagida et al. J. Acoust. Soc. Jpn (E), Vol.4, No.2, pp.107-109 (1983)

二乗誤差最小という尺度に基づいた音場制御手法では、各制御点においてどのような割合で誤差が配分されることになるか分からない。
本発明の目的は、各制御点において許容される誤差の割合を任意に設定することが可能な音場制御方法を提案することである。
In the sound field control method based on the measure of the least square error, it is not known in what ratio the error is distributed at each control point.
An object of the present invention is to propose a sound field control method capable of arbitrarily setting an allowable error ratio at each control point.

本発明は、同一の入力信号が供給されるN個のフィルタと、N個のフィルタのそれぞれの出力を印加するN個(N≧2)の出力素子を有し、M個(M≧N+1)の制御点に対し、あらかじめ定められた所望の信号伝達特性を再現するように前記N個のフィルタの特性を決定する音場制御方法において、制御点ごとに設定された誤差の許容範囲に応じた精度を用いてフィルタ特性を決定することを特徴とする。すなわち、複数個所(制御点)の音圧が所望のものとなるように制御する音場制御方法において、各制御点の誤差の許容量を設定した重み係数行列を用いた演算を行うことにより、各制御点ごとの許容される誤差の割合を設定できる。   The present invention includes N filters to which the same input signal is supplied, and N (N ≧ 2) output elements that apply the outputs of the N filters, and M (M ≧ N + 1). In the sound field control method for determining the characteristics of the N filters so as to reproduce a predetermined desired signal transfer characteristic with respect to the control points of the control points, the control points correspond to the allowable error range set for each control point. The filter characteristic is determined using accuracy. That is, in the sound field control method for controlling the sound pressure at a plurality of locations (control points) to be a desired one, by performing an operation using a weighting coefficient matrix in which an allowable amount of error at each control point is set, It is possible to set an allowable error ratio for each control point.

この発明によれば、スピーカの数を制御点の数の増加に伴って増加させることなく、各制御点において、あらかじめ設定した許容誤差の精度を有するインパルス応答を持った特性を再現することが可能となる。この方法を用いれば、前方に配置したスピーカを用いて、あたかも後方から音を出す装置の実現が可能となる。コンサートホールのような任意の音場の特性を例えば自宅などといった別の空間で再現することができる、あるいは音場の局所化により精度よく実現可能となるなどのように様々な音場制御に有用である。   According to the present invention, it is possible to reproduce a characteristic having an impulse response having a preset tolerance error accuracy at each control point without increasing the number of speakers as the number of control points increases. It becomes. By using this method, it is possible to realize a device that emits sound from behind using a speaker arranged in front. Useful for various sound field control, such as the ability to reproduce the characteristics of an arbitrary sound field such as a concert hall in another space such as at home, or to achieve it with high accuracy by localizing the sound field It is.

制御点毎に誤差の許容量を設定することを考える、
図1に示された構成において、j番目の制御点に対する誤差の許容量を重み係数gjとして対角要素がこのgj、その他の要素が0となる重み係数行列Gを用いて次式を構成する。この際重み係数gjは、j番目の制御点に対する誤差の許容の割合の逆数となるように設定する。
Consider setting an error tolerance for each control point,
In the configuration shown in FIG. 1, the following equation is obtained using a weighting coefficient matrix G in which the diagonal element is g j and the other elements are 0 with the allowable amount of error for the jth control point as the weighting coefficient g j . Constitute. At this time, the weight coefficient g j is set to be the reciprocal of the allowable ratio of error to the j-th control point.

図2に示す構成を例として具体的に説明する。
まず、初期化動作として、FIRフィルタ20iは、全帯域通過特性として、入力信号x(t)としてインパルスを入力する。この入力信号はA/D変換器10で信号X(k)に離散化され、再びD/A変換器30によりディジタル/アナログ変換が施された後に、スピーカ40iから出力される。制御点にはマイクロホンを設置しており、それぞれのマイクロホン出力は各スピーカからマイクロホンまでのインパルス応答となる。このN×M個のインパルス応答ベクトルhi,j(i=1,2,・・・,N、j=1,2,・・・,M)は、応答記録器60に記録される。一方、所望応答記録器70には、制御点ごとに定められている所望のインパルス応答ベクトルaj(j=1,2,・・・,M)が記憶されており、その出力は、応答記録器60の出力とともにフィルタ係数決定器90に入力される。ここで、ajとしてゼロ応答を設定することもできる。重み記録器80には各制御点の重み係数gj(j=1,2,・・・,M)が保持されており、これもフィルタ係数決定器90に入力される。フィルタ係数決定器90では、これらの入力hi,j,aj,gjを用いて(7)式に示される演算を行うことで各フィルタの係数が決定され、各FIRフィルタ211,212,・・・,21Nに設定される。この際、入力信号x(t)として時間引き延ばしパルスを用いて、インパルス応答の測定方法(特許第2725838号)によってN×M個のインパルス応答ベクトルhi,jを求めることもできる。
初期化動作の終了後、各フィルタにはフィルタ係数が設定されていることとなる。この状態で入力信号x(t)が、入力端子からA/D変換器10に供給され、A/D変換器10によって、入力信号x(t)が離散化された信号X(k)がN個のFIRフィルタ20i(i=1,2,・・・,N)にそれぞれ入力される。ここでフィルタリングされた信号はD/A変換器30によりディジタル/アナログ変換が施された後に、スピーカ40iから出力される。これにより、M個の制御点において許容誤差に応じた精度のインパルス応答を持つ特性が再現される。
The configuration shown in FIG. 2 will be specifically described as an example.
First, as an initialization operation, the FIR filter 20 i inputs an impulse as an input signal x (t) as an all-band pass characteristic. This input signal is discretized into a signal X (k) by the A / D converter 10, digital / analog converted again by the D / A converter 30, and then output from the speaker 40 i . A microphone is installed at the control point, and each microphone output is an impulse response from each speaker to the microphone. The N × M impulse response vectors h i, j (i = 1, 2,..., N, j = 1, 2,..., M) are recorded in the response recorder 60. On the other hand, the desired response recorder 70 stores a desired impulse response vector a j (j = 1, 2,..., M) determined for each control point, and its output is a response record. This is input to the filter coefficient determiner 90 together with the output of the filter 60. Here, a zero response can be set as a j . The weight recorder 80 holds weight coefficients g j (j = 1, 2,..., M) of each control point, which are also input to the filter coefficient determiner 90. The filter coefficient determiner 90 determines the coefficient of each filter by performing the calculation shown in the equation (7) using these inputs h i, j , a j , g j , and each FIR filter 21 1 , 21 2 , ..., 21 N. At this time, N × M impulse response vectors h i, j can be obtained by a method of measuring an impulse response (Japanese Patent No. 2725838) using a time-extended pulse as the input signal x (t).
After the initialization operation is completed, filter coefficients are set for each filter. In this state, the input signal x (t) is supplied from the input terminal to the A / D converter 10, and the signal X (k) obtained by discretizing the input signal x (t) by the A / D converter 10 is N. Each of the FIR filters 20 i (i = 1, 2,..., N) is input. The filtered signal is subjected to digital / analog conversion by the D / A converter 30 and then output from the speaker 40 i . As a result, characteristics having an impulse response with accuracy corresponding to the allowable error are reproduced at the M control points.

本発明による音場制御のシミュレーション結果の一例を示す。図3にシミュレーションの条件として設定したスピーカの配置と制御点(マイクロホンが配置された位置)の配置を示す。図中の○はスピーカの位置を示し、×および*は制御点を示す。制御点は、×の点で音圧が常に0となるように設定し、*は、中央のスピーカから単独で音が出ている場合のインパルス応答となるように設定した。この配置は、ある特定のエリアの中だけに音を再生するという局所再生を実現するためのスピーカ及び制御点配置となっている。重みは、*が0.1、×が1とし、周波数1000Hzの場合の音圧分布(図4)と、従来の方法、すなわち重み付けを行わずに(5)式を演算することで求めた音圧分布(図5)を示す。各々の図の曲線は等音圧曲線を示し、濃淡は音圧強度に対応し、「・」は制御点の位置を示している。従来の方法で求めた音圧分布は音圧が0とした点「・」で必ずしも音圧が0となっておらず(図5:中央「・」参照)、結果として局所再生が実現できていない。これに対して本発明による重み付け制御を行った場合には、「・」の制御点の音圧が小さくなっており、局所再生が実現できていることがわかる(図4:「・」参照)   An example of the simulation result of the sound field control by this invention is shown. FIG. 3 shows the arrangement of speakers and the arrangement of control points (positions where microphones are arranged) set as simulation conditions. In the figure, o indicates the position of the speaker, and x and * indicate control points. The control point was set so that the sound pressure was always 0 at the point of x, and * was set so as to be an impulse response when the sound was emitted from the center speaker alone. This arrangement is a speaker and control point arrangement for realizing local reproduction in which sound is reproduced only within a specific area. The weight is calculated by calculating the sound pressure distribution (FIG. 4) when * is 0.1 and x is 1 and the frequency is 1000 Hz (FIG. 4) and the conventional method, that is, the expression (5) without weighting. The pressure distribution (FIG. 5) is shown. The curve in each figure shows an iso-sound pressure curve, the shading corresponds to the sound pressure intensity, and “•” shows the position of the control point. In the sound pressure distribution obtained by the conventional method, the sound pressure does not necessarily become 0 at the point “•” where the sound pressure is 0 (see FIG. 5: center “•”), and as a result, local reproduction can be realized. Absent. On the other hand, when the weighting control according to the present invention is performed, the sound pressure at the control point “•” is small, and it can be seen that local reproduction can be realized (see FIG. 4: “•”).

音場制御方法の原理を説明するための図。The figure for demonstrating the principle of a sound field control method. 本発明の音場制御方法を説明するための音場制御装置の構成例を示すブロック図。The block diagram which shows the structural example of the sound field control apparatus for demonstrating the sound field control method of this invention. 本発明の効果を示すためのシミュレーション条件となるスピーカと制御点の配置を示す図。The figure which shows the arrangement | positioning of the speaker and control point used as the simulation conditions for showing the effect of this invention. 本発明の音場制御方法を用いた場合の音圧分布の例を示す図。The figure which shows the example of the sound pressure distribution at the time of using the sound field control method of this invention. 従来の音場制御方法を用いた場合の音圧分布の例を示す図。The figure which shows the example of the sound pressure distribution at the time of using the conventional sound field control method.

符号の説明Explanation of symbols

20・・・FIRフィルタ、30・・・D/A変換器、40・・・スピーカ、50・・・マイクロホン、60・・・応答記録器、70・・・所望応答記録器、80・・・重み記録器、90・・・フィルタ係数決定器
20 ... FIR filter, 30 ... D / A converter, 40 ... speaker, 50 ... microphone, 60 ... response recorder, 70 ... desired response recorder, 80 ... Weight recorder, 90 ... filter coefficient determiner

Claims (3)

同一の入力信号が供給されるN個のフィルタと、N個のフィルタのそれぞれの出力を印加するN個(N≧2)の出力素子を有し、M個(M≧N+1)の制御点に対し、あらかじめ定められた所望の信号伝達特性を再現するように前記N個のフィルタの特性を決定する音場制御方法において、
制御点ごとに設定された誤差の許容範囲に応じた精度を用いてフィルタ特性を決定することを特徴とする音場制御方法。
N filters to which the same input signal is supplied and N (N ≧ 2) output elements for applying the outputs of the N filters, and M (M ≧ N + 1) control points. On the other hand, in the sound field control method for determining the characteristics of the N filters so as to reproduce a predetermined desired signal transfer characteristic,
A sound field control method, wherein a filter characteristic is determined using accuracy according to an allowable range of error set for each control point.
請求項1に記載の音場制御方法において、
N個(N≧2)のフィルタの特性は、その特性を要素とする行列をWとして、N個の出力素子とM個(M≧N+1)の制御点との間の伝達特性を要素とする行列Hと、各制御点についてそれぞれ想定されるM個の所望の伝達特性を要素とする行列Aと、各制御点についてそれぞれ設定される誤差の許容量に応じた値を持つ重み係数を要素とする行列Gとを用いて、一般化逆行列を用いた二乗誤差最小という尺度に基づいて、
を演算して求めることを特徴とする音場制御方法。
The sound field control method according to claim 1,
The characteristic of N (N ≧ 2) filters is a transfer characteristic between N output elements and M (M ≧ N + 1) control points, where W is a matrix having the characteristic as an element. A matrix H, a matrix A having M desired transfer characteristics assumed for each control point as elements, and a weighting coefficient having a value corresponding to an allowable error set for each control point as elements Based on a measure of minimum squared error using a generalized inverse matrix
The sound field control method characterized by calculating | requiring and calculating | requiring.
請求項2に記載の音場制御方法において、
N個(N≧2)のフィルタの特性を一般化逆行列を用いて求める際、逆行列が不安定とならないように、その行列の最大固有値に比べて小さな正の定数δを対角要素とし、その他の要素が0である行列δI(ただし、Iは単位行列)を加えて次式によって求めることを特徴としたフィルタ特性の音場制御方法。

The sound field control method according to claim 2,
When the characteristics of N filters (N ≧ 2) are obtained using a generalized inverse matrix, a positive constant δ smaller than the maximum eigenvalue of the matrix is used as a diagonal element so that the inverse matrix does not become unstable. A filter field sound field control method characterized by adding a matrix δI in which other elements are 0 (where I is a unit matrix) and obtaining by the following equation.

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US9210525B2 (en) 2011-12-27 2015-12-08 Panasonic Intellectual Property Management Co., Ltd. Sound field control apparatus and sound field control method

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2007083739A1 (en) * 2006-01-19 2007-07-26 Nippon Hoso Kyokai Three-dimensional acoustic panning device
AU2007207861B2 (en) * 2006-01-19 2011-06-09 Blackmagic Design Pty Ltd Three-dimensional acoustic panning device
US8249283B2 (en) 2006-01-19 2012-08-21 Nippon Hoso Kyokai Three-dimensional acoustic panning device
US9210525B2 (en) 2011-12-27 2015-12-08 Panasonic Intellectual Property Management Co., Ltd. Sound field control apparatus and sound field control method

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