JP2009207104A - System for processing signal having singular point and information storage medium - Google Patents

System for processing signal having singular point and information storage medium Download PDF

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JP2009207104A
JP2009207104A JP2008081897A JP2008081897A JP2009207104A JP 2009207104 A JP2009207104 A JP 2009207104A JP 2008081897 A JP2008081897 A JP 2008081897A JP 2008081897 A JP2008081897 A JP 2008081897A JP 2009207104 A JP2009207104 A JP 2009207104A
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JP5544549B2 (en
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Isao Nakazawa
勇夫 中澤
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TSUSHIN HOSO KOKUSAI KENKYUSHO
TSUSHIN HOSO KOKUSAI KENKYUSHO KK
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a singular point signal processing system which improves specification of a source signal even under a use condition deteriorated environment, and includes a means for generating a signal which is immune to signal deterioration caused by noise or the like and suitable for signal reproduction. <P>SOLUTION: A source signal conversion unit 11 of the signal processing system extracts the synchronizing signal 16 of a source signal from a signal 10 having the source signal to be input, converts the input signal into an internal signal 17 with the extracted synchronizing signal as a criterion, converts the internal signal into a signal including a singular point while using a specific singular point inverse function in a relation of inverse arithmetic with a singular point function having a specific singular point with the synchronizing signal as a criterion, and outputs a signal 19 including a singular point while including at least one singular point for each synchronizing signal. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

本発明は、信号処理システムには原信号変換機能を備え、原信号変換機能には信号変換手段、同期信号抽出手段、入力部、および出力部を備え、特異点を有する信号処理システムおよび情報記憶媒体に関する。  The signal processing system includes an original signal conversion function, and the original signal conversion function includes a signal conversion unit, a synchronization signal extraction unit, an input unit, and an output unit. It relates to the medium.

特に、入力された原信号を有する信号から原信号の同期信号に合わせて同期周期毎に特異点を含む信号に変換し、使用条件の劣化環境に対して原信号の特定化に優れ、雑音等の信号劣化に強い、原信号の再生に適した信号を生成する手段を持った特異点を有する信号処理システムに関する。  In particular, it converts the signal having the input original signal into a signal including a singular point for each synchronization period in accordance with the synchronization signal of the original signal, and is excellent in specifying the original signal in a deteriorated environment of use conditions, noise, etc. The present invention relates to a signal processing system having a singular point having means for generating a signal suitable for reproducing an original signal that is resistant to signal degradation.

従来から、雑音あるいは不要波に埋まっている受信波から信号を抽出する技術は提案されている。これらの技術では信号および雑音あるいは不要波の統計的性質、あるいは2乗平均誤差最小化基準から信号を推定している。これらの統計的検出理論としては、たとえば非特許文献1に記載がある。
また、復元した信号と原信号との差の二乗平均が最小になるようなフィルタとしてウィナーフィルタがある。これらの最低分散推定としては、たとえば非特許文献2に記載がある。
Conventionally, a technique for extracting a signal from a received wave buried in noise or unnecessary waves has been proposed. In these techniques, signals are estimated from statistical characteristics of signals and noise or unwanted waves, or a mean square error minimization criterion. These statistical detection theories are described in Non-Patent Document 1, for example.
A Wiener filter is a filter that minimizes the mean square of the difference between the restored signal and the original signal. Non-patent literature 2 describes these minimum variance estimations, for example.

一方で、帯域外干渉波は受信フィルタで除去されるが、エコー干渉等の受信フィルタで除去できない干渉除去に関する技術も広く研究されている。  On the other hand, although an out-of-band interference wave is removed by a reception filter, techniques related to interference removal that cannot be removed by a reception filter such as echo interference have been widely studied.

J.Hancock,P.Wintz「SIGNAL DETECTION THEORY」(McGraw−Hill New−York 1966)J. et al. Hancock, P.M. Wintz “SIGNAL DETECTION THEORY” (McGraw-Hill New-York 1966) 片山「新版応用カルマンフィルタ」(朝倉書店2000年1月)Katayama "New Version Applied Kalman Filter" (Asakura Shoten, January 2000) 上野、砂田、新井編集「数学のたのしみ(特異点の世界:その広さ豊かさ)」、日本評論社、2005年11月Edited by Ueno, Sunada, and Arai, “Enjoyment of Mathematics (The World of Singularity: Its Extensiveness)”, Nihon Crihonsha, November 2005

しかしながら、これらの統計的検出では、以下のような問題が生じていた。
一般に統計的に安定した状態でしか信号の再生の最適値が得られないために、変動する信号の統計的特性、妨害波の統計的特性が不正確なために、信号の再生は難しかった。また、遅延波、干渉雑音、歪波等の複数の妨害が存在するときには、信号の統計的検出が複雑になり、推理、推測の域に留まっていた。
一方で、統計的特性を確定するには、統計処理時間を長くして、結局処理時間の遅延をきたす事と処理が煩雑になる欠点を有していた。また、デジタル信号送出する信号処理において再生された信号の信頼性から、使用環境下での遅延波、干渉雑音、機器の非線形性から発生する歪波等の複数の劣化要因に対しても強い方式が要望されていた。
However, these statistical detections have the following problems.
In general, since an optimum value of signal reproduction can be obtained only in a statistically stable state, the signal reproduction is difficult because the statistical characteristics of the fluctuating signal and the statistical characteristics of the disturbing wave are inaccurate. In addition, when there are a plurality of disturbances such as delayed waves, interference noises, and distorted waves, the statistical detection of signals becomes complicated and remains in the range of inference and estimation.
On the other hand, in order to determine the statistical characteristics, there is a disadvantage that the statistical processing time is lengthened and the processing time is eventually delayed and the processing becomes complicated. In addition, due to the reliability of the signal reproduced in signal processing for sending digital signals, the system is robust against multiple degradation factors such as delayed waves, interference noise, and distortion waves generated due to device nonlinearity in the environment of use. Was requested.

本発明は、以上のような問題を解決するために、解析的手法を用いてなされたもので、原信号の信号処理による特異点を含む信号への変換と特異点領域の解析を適用して、使用条件の劣化環境に対しても原信号の特定化に優れ、雑音等の信号劣化に強く、かつ信号の再生に適した信号を生成する手段を提供するものであり、原信号の信号処理により特異点を含む信号に変換する信号変換部、同期信号抽出手段、入力部、出力部からなる信号処理システムの提供、および特定の関数発生ステップ、特異点変換ステップ、同期信号抽出ステップ、入力装置、出力装置、およびこれらを実現するプログラムを記録した情報記録媒体の提供をすることで、上記課題を解決する。  In order to solve the above-described problems, the present invention has been made using an analytical method, and is applied to the conversion of the original signal into a signal including a singular point by signal processing and the analysis of the singular point region. The signal processing of the original signal provides a means for generating a signal that is excellent in the specification of the original signal even in a use environment deterioration environment, is strong in signal deterioration such as noise, and is suitable for signal reproduction. Provides a signal processing system comprising a signal conversion unit, a synchronization signal extraction means, an input unit, and an output unit, and a specific function generation step, a singular point conversion step, a synchronization signal extraction step, and an input device. The above-mentioned problems are solved by providing an output device and an information recording medium on which a program for realizing these is recorded.

ここで、特異点は、原信号を有する信号を所定の信号処理することにより信号処理後の原信号上で、原信号の情報を極小(零を含む)となす箇所を有し、且つ原信号以外の信号では信号の情報を持つポイント或いは状態を特異点と呼ぶ。(以下同様)。数学上では「周囲と異なる特徴をもったところ」と定義され、たとえば非特許文献3に記載がある。  Here, the singular point has a position where the information of the original signal is minimized (including zero) on the original signal after signal processing by performing predetermined signal processing on the signal having the original signal, and the original signal For other signals, a point or state having signal information is called a singular point. (The same applies hereinafter). In mathematics, it is defined as “a place having characteristics different from the surroundings”, and is described in Non-Patent Document 3, for example.

特定の信号処理により特異点を持つ信号に変換できる変換前の信号を、特異点を含む信号と呼ぶ。(以下同様)。特異点を含む信号を特定の信号処理をして、特異点を持つ信号に変換することを特定の信号処理と呼ぶ。(以下同様)。 さらに、特異点を持つ信号を特定の信号処理をして、特異点を含む信号に戻すことを特定の逆信号処理と呼ぶ。(以下同様)。  A signal before conversion that can be converted into a signal having a singular point by specific signal processing is called a signal including a singular point. (The same applies hereinafter). A signal including a singular point is subjected to specific signal processing and converted into a signal having a singular point, which is called specific signal processing. (The same applies hereinafter). Furthermore, a signal having a singular point is subjected to specific signal processing and returned to a signal including a singular point, which is called specific reverse signal processing. (The same applies hereinafter).

特異点を処理する場所が複数あり、総合で特異点が生成されるときには各々の特異点処理された信号は準特異点を含む信号と呼ぶ。(以下同様)。ただし、区別する必要が無い場所では、特異点と準特異点とを総称して、特異点を含む信号とする。(以下同様)。
また、原信号と直交する特異点の場合には、直交特異点と呼ぶ。(以下同様)。
さらに、原信号を短周期で符号化して短信号に変換された場合には、特異点、準特異点、直交特異点と区別するために短特異点、短準特異点、短直交特異点と呼ぶ。(以下同様)。
When there are a plurality of places where singularities are processed and singularities are generated in total, each singularity processed signal is called a signal including quasi-singularities. (The same applies hereinafter). However, in places where there is no need to distinguish, singular points and semi-singular points are collectively referred to as signals including singular points. (The same applies hereinafter).
In the case of a singular point orthogonal to the original signal, it is called an orthogonal singular point. (The same applies hereinafter).
Furthermore, when the original signal is encoded in a short period and converted to a short signal, the short singularity, short quasi-singularity, short orthogonal singularity and Call. (The same applies hereinafter).

特異点を持つ信号の伝達関数を特定の特異点関数と呼ぶ。(以下同様)。また、特異点を含む信号の伝達関数を特定の被特異点関数と呼ぶ。(以下同様)。
被特異点関数から特異点関数に変換する演算を特異点演算と呼ぶ。(以下同様)。また逆に特異点関数から被特異点関数に変換する演算を逆特異点演算と呼ぶ。(以下同様)。
また、熱雑音、干渉波、ひずみ雑音等の原信号以外の信号を不要信号と呼ぶ。(以下同様)。
A transfer function of a signal having a singularity is called a specific singularity function. (The same applies hereinafter). A signal transfer function including a singular point is called a specific singular point function. (The same applies hereinafter).
An operation for converting a singularity function to a singularity function is called a singularity operation. (The same applies hereinafter). Conversely, an operation for converting from a singularity function to a singularity function is called an inverse singularity operation. (The same applies hereinafter).
Further, signals other than the original signal such as thermal noise, interference wave, and distortion noise are called unnecessary signals. (The same applies hereinafter).

本発明により、原信号を特定の信号処理し、特異点を含む信号へ変換して、特異点領域の原信号の特異点を行う事によって、使用条件の劣化環境下にあっても原信号の特定化が維持でき、雑音等の信号劣化に強い、信号の再生に適した信号を生成する手段を提供するものである。  According to the present invention, the original signal is subjected to specific signal processing, converted into a signal including a singular point, and the singular point of the original signal in the singular point region is performed, so that the original signal can be obtained even in a deteriorated environment of use conditions. The present invention provides means for generating a signal that can maintain the specification and is resistant to signal degradation such as noise and is suitable for signal reproduction.

以上の目的を達成するため、本発明の原理にしたがって、本発明の実施例を示す図面に基づいて説明する。なお、本図において、同じ部を果たす要素には、以下の図面には同じ符号を付してある。  In order to achieve the above object, an embodiment of the present invention will be described based on the drawings in accordance with the principle of the present invention. In the drawing, elements that perform the same parts are denoted by the same reference numerals in the following drawings.

なお、以下に説明する最良の形態は説明のためのものであり、本発明の範囲を制限するものではない。したがって、当業者であればこれらの各要素もしくは全要素をこれと均等なものに置換した実施形態を採用することが可能であるが、これらの実施形態も本発明の範囲に含まれる。  The best mode described below is for explanation, and does not limit the scope of the present invention. Therefore, those skilled in the art can employ embodiments in which each or all of these elements are replaced with equivalent ones, and these embodiments are also included in the scope of the present invention.

また、以下の説明では同期抽出手段を用いるほか、これをもとに以下のようにしても同期信号を供給でき、本発明の範囲に含まれる。(図1には図示せず)。
当該同期抽出手段は、外部同期信号が入力される時は、同期信号分配手段に置き換えられる。入力信号に同期情報が含まれない場合には、内部同期信号にて同期信号を生成する。
Further, in the following description, in addition to using the synchronization extraction means, the synchronization signal can be supplied based on this as follows, and is included in the scope of the present invention. (Not shown in FIG. 1).
The synchronization extraction unit is replaced with a synchronization signal distribution unit when an external synchronization signal is input. When the synchronization information is not included in the input signal, the synchronization signal is generated using the internal synchronization signal.

また、以下の説明では入力される原信号としては、連続デジタル信号であるが、これ以外に離散デジタル信号、パッケト信号、アナログ信号、および複合信号(同期信号を含む)、符号等のあらゆる信号形態にたいしても、本発明の範囲に含まれる。(図1には図示せず)。  In the following description, the input original signal is a continuous digital signal, but other signal forms such as a discrete digital signal, a packet signal, an analog signal, a composite signal (including a synchronization signal), a sign, and the like. However, it is included in the scope of the present invention. (Not shown in FIG. 1).

また、信号処理システムとは別に、本発明の特定の信号処理、特異点を含む信号、およびプログラムを記録した情報記録媒体を配布、販売することができる。  In addition to the signal processing system, the specific signal processing of the present invention, the signal including the singularity, and the information recording medium recording the program can be distributed and sold.

図1は本発明の第1の観点に係る特異点信号処理システムの原信号変換部11の構成図であり、原信号変換部には信号変換手段15と、同期信号抽出手段13と、入力部12と、出力部18と、から構成されている。  FIG. 1 is a configuration diagram of an original signal conversion unit 11 of a singular point signal processing system according to a first aspect of the present invention. The original signal conversion unit includes a signal conversion unit 15, a synchronization signal extraction unit 13, and an input unit. 12 and an output unit 18.

原信号変換部の入力10である原信号が含まれる信号には、同期信号抽出手段13により原信号の同期信号16が抽出され、入力部12と、信号変換手段15と、出力部18と、に接続される。 一方、信号10は入力部12で、抽出された同期信号16を基準に、内部信号17に変換されて信号変換手段15に渡される。 さらに、信号変換手段15は抽出された同期信号16を基準にし、入力部12からの内部信号17を信号変換手段に渡し、信号変換手段では、特定の被特異点関数を用いた信号処理から特異点を含む信号に変換し、出力部18に渡し、出力部18では特異点を含む信号19を出力する。  The synchronization signal extraction means 13 extracts the synchronization signal 16 of the original signal from the signal including the original signal that is the input 10 of the original signal conversion section. The input section 12, the signal conversion means 15, the output section 18, Connected to. On the other hand, the signal 10 is converted into an internal signal 17 at the input unit 12 with reference to the extracted synchronization signal 16 and passed to the signal conversion means 15. Further, the signal conversion unit 15 passes the internal signal 17 from the input unit 12 to the signal conversion unit based on the extracted synchronization signal 16, and the signal conversion unit performs singularity from signal processing using a specific singularity function. The signal is converted to a signal including a point and is passed to the output unit 18, which outputs a signal 19 including a singular point.

図2は時間軸上に特異点を持つ特異点関数の一例を示している。 ここでは、区間内に特異点が3箇所有する特異点関数である。この特異点関数と逆特異点演算(ここでは2重積分)との関係にある被特異点関数を図3に示す。
図4では、入力された信号10から抽出された同期信号16を基準にして、被特異点関数を用いて内部信号が特異点を含む信号に変換される領域を示す。 ここで、同期時間長内の楕円形は特異点を含む領域を示し、特定の信号処理により特異点を有する信号に変換できる被特異点の領域を示している。
FIG. 2 shows an example of a singular point function having a singular point on the time axis. Here, it is a singularity function having three singularities in the section. FIG. 3 shows a singularity function having a relationship between the singularity function and the inverse singularity calculation (here, double integration).
FIG. 4 shows a region in which an internal signal is converted into a signal including a singular point using a singular point function with reference to the synchronization signal 16 extracted from the input signal 10. Here, an ellipse within the synchronization time length indicates a region including a singular point, and indicates a region of a singular point that can be converted into a signal having a singular point by specific signal processing.

特異点を含む信号に変換するまでの動作を、式を用いて説明する。 原信号を含む入力信号である10をf(t)とし、入力部12のインパルスレスポンスをh(t)とすれば入力部出力の内部信号17であるx(t)は数1で表わされる。

Figure 2009207104
また、特定の特異点を持つ特異点関数をg(t)と置き、この関数と逆演算R(g)の関係にある被特異点関数s(t)は以下の式で求められる。図3は2重積分の演算処理をした場合で、数2は数3で表される。
Figure 2009207104
Figure 2009207104
ここで、図2で示される特異点関数g(t)を数4とすると、
Figure 2009207104
となる。数4のg(t)を逆演算処理すると、被特異点関数s(t)は数5となり、図3に示される波形を示す。
Figure 2009207104
The operation until conversion to a signal including a singular point will be described using equations. Assuming that the input signal 10 including the original signal is f (t) and the impulse response of the input unit 12 is h (t), the internal signal 17 of the input unit output x (t) is expressed by Equation 1.
Figure 2009207104
Further, a singularity function having a specific singularity is set as g (t), and a singularity function s (t) having a relationship of inverse function R (g) with this function is obtained by the following equation. FIG. 3 shows a case where the calculation processing of double integration is performed, and Equation 2 is expressed by Equation 3.
Figure 2009207104
Figure 2009207104
Here, when the singularity function g (t) shown in FIG.
Figure 2009207104
It becomes. When g (t) in Equation 4 is inversely processed, the singularity function s (t) becomes Equation 5 and shows the waveform shown in FIG.
Figure 2009207104

次に、数1で示されるデジタル信号x(t)と被特異点関数s(t)とは以下の演算を行うと、特異点を含む信号u(t)は以下の式で求められる。

Figure 2009207104
ここで、Tはデジタル信号のサンプル長であり、t=nT、τ=mTとし、離散時間系列で、u(t)−>u(n)、x(t−τ)−>x(n−m)、s(τ)−>s(m)とすると数6は数7で表される。
Figure 2009207104
図5は数7をデジタル回路で実現する構成の一例を示す。ここで、
Figure 2009207104
Next, when the digital signal x (t) and the singular point function s (t) expressed by Equation 1 are subjected to the following calculation, the signal u (t) including the singular point is obtained by the following equation.
Figure 2009207104
Here, T is the sample length of the digital signal, t = nT, τ = mT, and discrete time series u (t)-> u (n), x (t-τ)-> x (n- If m) and s (τ)-> s (m), Equation 6 is expressed by Equation 7.
Figure 2009207104
FIG. 5 shows an example of a configuration for realizing Equation 7 with a digital circuit. here,
Figure 2009207104

次に、特異点逆関数s(t)を周波数軸上での演算処理により求める手段を示す。
数1の関係式で、信号をラプラス変換して、f(t)−>F(s)、h(t)−>H(s)、x(t)−>X(s) とすると、デジタル信号X(s)は数8で表される。

Figure 2009207104
また、数2にある特異点関数g(t)、被特異点関数s(t)を、g(t)−>G(s)、s(t)−>S(s)で表し、逆演算をR(s)とすると、数2は数9で表される。
Figure 2009207104
ここで、R(s)がn階の積分を表しているときには数10で、n階の微分を表しているときには数11で各々表される。
Figure 2009207104
Figure 2009207104
デジタル信号X(s)を、特異点を含む信号に変換する為の伝達関数をQ(s)で表すと、数12で表される。
Figure 2009207104
よって、数13が導かれて、Q(s)が決まる。
Figure 2009207104
Next, means for obtaining the singular point inverse function s (t) by the arithmetic processing on the frequency axis will be shown.
When the signal is Laplace transformed by the relational expression of Formula 1 and f (t)-> F (s), h (t)-> H (s), x (t)-> X (s) The signal X (s) is expressed by Equation 8.
Figure 2009207104
Further, the singularity function g (t) and the singularity function s (t) in Equation 2 are expressed by g (t)-> G (s), s (t)-> S (s), and the inverse operation is performed. Is R (s), Equation 2 is expressed by Equation 9.
Figure 2009207104
Here, when R (s) represents n-th order integration, it is represented by Expression 10, and when R (s) represents n-th order differentiation, it is represented by Expression 11.
Figure 2009207104
Figure 2009207104
When the transfer function for converting the digital signal X (s) into a signal including a singular point is expressed by Q (s), it is expressed by the following equation (12).
Figure 2009207104
Therefore, Equation 13 is derived and Q (s) is determined.
Figure 2009207104

信号変換手段では、数13で表される伝達関数Q(s)を角周波数に戻して、アナログフィルタ或いはデジタルフィルタで構成して、信号変換手段が実現できる。  In the signal conversion means, the signal conversion means can be realized by returning the transfer function Q (s) expressed by Equation 13 to the angular frequency and configuring it with an analog filter or a digital filter.

図6は本発明の第2の観点に係る信号処理システムの原信号変換部21の構成図であり、原信号変換部21は信号変換手段23と、同期信号抽出手段13と、入力部12と、出力部18と、から構成されている。
原信号変換部に入力10される原信号が含まれる信号には、同期信号抽出手段13により原信号の同期信号が抽出され、入力部12と、信号変換手段23と、出力部18と、に接続される。一方、原信号10は入力部12で、抽出された同期信号16を基準に内部信号17に変換されて、信号変換手段23に渡される。さらに、信号変換手段23は、抽出された同期信号を基準にし、特定の特異点を持つ特異点関数を分割した準特異点関数を逆演算して求めた被準特異点関数を用いて、特定の信号処理をして、入力部12からの内部信号17を、準特異点を含む信号に変換して出力部18に渡す。出力部18は準信号変換手段23からの準特異点を含む信号25を出力する。
FIG. 6 is a block diagram of the original signal conversion unit 21 of the signal processing system according to the second aspect of the present invention. The original signal conversion unit 21 includes a signal conversion unit 23, a synchronization signal extraction unit 13, an input unit 12, , And an output unit 18.
From the signal including the original signal input 10 to the original signal conversion unit, the synchronization signal of the original signal is extracted by the synchronization signal extraction unit 13, and is input to the input unit 12, the signal conversion unit 23, and the output unit 18. Connected. On the other hand, the original signal 10 is converted into an internal signal 17 by the input unit 12 with reference to the extracted synchronization signal 16 and passed to the signal conversion means 23. Further, the signal conversion means 23 uses the quasi-singularity function obtained by inversely calculating the quasi-singularity function obtained by dividing the singularity function having a specific singularity with reference to the extracted synchronization signal. The internal signal 17 from the input unit 12 is converted into a signal including a quasi-singular point and passed to the output unit 18. The output unit 18 outputs a signal 25 including a quasi-singular point from the quasi-signal converting means 23.

特異点を含むとデジタル信号に変換するまでの動作は、本発明の第1の観点と同じなので省略し、ここでは、特異点関数を分割した準特異点関数を用いて、準特異点関数の逆演算から準特異点信号に変換するまでの動作を、式を用いて説明する。  Since the operation until conversion to a digital signal when including a singularity is the same as that of the first aspect of the present invention, the operation is omitted. Here, a quasi-singularity function obtained by dividing a singularity function is used. The operation from the inverse operation to the conversion to a quasi-singular point signal will be described using equations.

特定の特異点を有する特異点関数をg(t)と置き、この関数のラプラス変換した関数をG(s)=G(s)G(s)と表し、関数G(s)と関数G(s)に分離し、逆ラプラス変換したおのおのの関数g(t)、g(t)を準特異点関数と呼ぶ。(以下同様)
逆演算R(g)の処理をすると、逆準特異点関数s(t)は数14で求められる。

Figure 2009207104
次に、数1で示されるデジタル信号x(t)と特異点逆関数s(t)とは以下の演算を行うと、特異点を含む信号u(t)は以下の式で求められる。
Figure 2009207104
ここで、Tはデジタル信号のサンプル長として、t=nT、τ=mTとし、離散時間系列で、u(t)−>u(n)、x(t−τ)−>x(n−m)、s(τ)−>s(m) とすると数15は数16で表される。
Figure 2009207104
数16は本発明の第1の観点に係るデジタル回路(図5)で実現できる。A singularity function having a specific singularity is set as g (t), a Laplace transformed function of this function is expressed as G (s) = G 1 (s) G 2 (s), and a function G 1 (s) and The functions g 1 (t) and g 2 (t), which are separated into functions G 2 (s) and subjected to inverse Laplace transform, are called quasi-singularity functions. (The same applies hereinafter)
When the inverse operation R (g) is processed, the inverse quasi-singularity function s 1 (t) is obtained by Equation 14.
Figure 2009207104
Next, when the digital signal x (t) expressed by Equation 1 and the singular point inverse function s 1 (t) are subjected to the following calculation, the signal u 1 (t) including the singular point is obtained by the following equation. .
Figure 2009207104
Here, T is the sample length of the digital signal, t = nT, τ = mT, and discrete time series u 1 (t)-> u 1 (n), x (t-τ)-> x (n −m), s 1 (τ) −> s 1 (m), Expression 15 is expressed by Expression 16.
Figure 2009207104
Equation 16 can be realized by the digital circuit (FIG. 5) according to the first aspect of the present invention.

図7は本発明の第3の観点に係る信号処理システムの原信号変換部31の構成図であり、原信号変換部31は信号変換手段15と、同期信号抽出手段13と、誤差検出手段32と、修正手段33と、入力部12と、出力部18と、から構成される。
特異点を含むと信号に変換するまでの動作は、本発明の第1の観点と同じなので省略し、ここでは、誤差検出手段32と、修正手段33との動作を図7と式を用いて説明する。
本発明の第3の観点に係る信号処理システムの原信号変換部31では、誤差検出手段32は、信号変換手段15で変換された特異点を含む信号を特定の信号処理をして得られる特異点信号u(t)と、特定の特異点を持つ特異点関数g(t)との違いを修正する誤差関数をr(t)とすると、ラプラス変換して、u(t)−>U(s)、g(t)−>G(s)、r(t)−>R(s)にして、誤差関数R(s)は数17で表される。

Figure 2009207104
誤差検出手段32はこの誤差関数R(s)を逆ラプラス変換して誤差信号r(t)を得る。この誤差信号を逆信号処理し、修正誤差信号r’(t)を生成して修正手段33に出力する。 ここで、Tはデジタル信号のサンプル長として、t=nT とし、離散時間系列で、r’(t)−>r’(m)とすると、修正後の信号u(n)は数18で表される。
Figure 2009207104
数18は本発明の第1の観点に係るデジタル回路(図5)を用いて実現できる。
また、本発明の第3の観点に係る信号処理システムでは、特異点を含む信号を特定の信号処理をして得られた特異点を持つ信号と、特定の特異点を持つ特異点関数g(t)との違いから修正する誤差関数を得ていたが、特異点を含む信号u‘(t)と特定の特異点を有する被特異点関数g’(t)との違いから修正する誤差関数を得ることも可能である。
この場合には、誤差検出手段32は、信号変換手段15で変換された特異点を含む特異点信号u(t)と特定の特異点を含む被特異点関数g’(t)との違いを修正する誤差関数をr’(t)とすると、ラプラス変換して、u‘(t)−>F’(s)、g’(t)−>G’(s)、r’(t)−>R’(s)にして、誤差関数R’(s)は数19で表される。
Figure 2009207104
誤差検出手段31はこの修正関数R’(s)から、R’(s)を逆ラプラス変換して修正信号r’(t)を得て、修正手段32に出力する。 ここで、Tはデジタル信号のサンプル長として、t=nTとし、離散時間系列で、r‘(t)−>r’(m)とすると、修正後の信号u‘(n)は数18で表される。FIG. 7 is a configuration diagram of the original signal conversion unit 31 of the signal processing system according to the third aspect of the present invention. The original signal conversion unit 31 includes the signal conversion unit 15, the synchronization signal extraction unit 13, and the error detection unit 32. And the correction means 33, the input unit 12, and the output unit 18.
The operation until conversion to a signal including a singular point is the same as that of the first aspect of the present invention, and is therefore omitted. Here, the operations of the error detection unit 32 and the correction unit 33 are described with reference to FIG. explain.
In the original signal conversion section 31 of the signal processing system according to the third aspect of the present invention, the error detection means 32 is a singularity obtained by performing specific signal processing on the signal including the singular point converted by the signal conversion means 15. If the error function for correcting the difference between the point signal u (t) and the singular point function g (t) having a specific singular point is r (t), Laplace transform is performed and u (t)-> U ( s), g (t)-> G (s), r (t)-> R (s), and the error function R (s) is expressed by Equation 17.
Figure 2009207104
The error detection means 32 performs inverse Laplace transform on the error function R (s) to obtain an error signal r (t). This error signal is subjected to inverse signal processing to generate a corrected error signal r ′ (t) and output it to the correcting means 33. Here, T is a sample length of a digital signal, t = nT, and a discrete time sequence, where r ′ (t) −> r ′ (m), the corrected signal u (n) is expressed by Equation 18. Is done.
Figure 2009207104
Equation 18 can be realized using the digital circuit (FIG. 5) according to the first aspect of the present invention.
In the signal processing system according to the third aspect of the present invention, a signal having a singular point obtained by performing specific signal processing on a signal including a singular point and a singular point function g ( The error function to be corrected is obtained from the difference from t), but the error function to be corrected from the difference between the signal u ′ (t) including a singular point and the singular point function g ′ (t) having a specific singular point. It is also possible to obtain
In this case, the error detection unit 32 determines the difference between the singular point signal u (t) including the singular point converted by the signal conversion unit 15 and the singular point function g ′ (t) including the specific singular point. Assuming that the error function to be corrected is r ′ (t), Laplace transform is performed and u ′ (t) → F ′ (s), g ′ (t) → G ′ (s), r ′ (t) −. > R ′ (s), the error function R ′ (s) is expressed by Equation 19.
Figure 2009207104
The error detection means 31 obtains a correction signal r ′ (t) from this correction function R ′ (s) by performing inverse Laplace transform on R ′ (s), and outputs it to the correction means 32. Here, T is the sample length of the digital signal, t = nT, a discrete time series, and r ′ (t) −> r ′ (m), the corrected signal u ′ (n) is expressed by Equation 18. expressed.

図8は本発明の第4の観点に係る信号処理システムの原信号変換部の直交機能41と信号変換手段45との構成を示し、直交機能41には、符号列作成手段42と、列同期信号発生手段43と、第2同期信号発生手段44と、から構成されている。
直交機能41の入力は入力部からの内部信号17と、同期信号抽出手段により抽出された同期信号16であり、列同期信号発生手段43は同期信号16を基準に、符号列の長さに対応した列同期信号を発生させる。 また、第2同期信号発生手段44は前記同期信号16を基に、所定の割合で高速化された第2の同期信号46を発生させる。 符号列作成手段42は、列同期信号と前記第2同期信号46を基準に、符号列毎に直交特異点を生じる符号を挿入する。 図9は符号列作成手段42で生成され、符号間で極性反した信号を示している。また、特異点を含む信号を発生させる特異点変換手段45には、第2同期信号46が供給される。
FIG. 8 shows the configuration of the orthogonal function 41 and the signal conversion means 45 of the original signal conversion unit of the signal processing system according to the fourth aspect of the present invention. The signal generating means 43 and the second synchronizing signal generating means 44 are configured.
The input of the orthogonal function 41 is the internal signal 17 from the input unit and the synchronization signal 16 extracted by the synchronization signal extraction means, and the sequence synchronization signal generation means 43 corresponds to the length of the code sequence based on the synchronization signal 16 Generated column synchronization signals. The second synchronization signal generating means 44 generates a second synchronization signal 46 that is speeded up at a predetermined rate based on the synchronization signal 16. The code string creating means 42 inserts a code that generates an orthogonal singularity for each code string on the basis of the column synchronization signal and the second synchronization signal 46. FIG. 9 shows a signal generated by the code string creating means 42 and having opposite polarities between codes. The second synchronization signal 46 is supplied to the singular point conversion means 45 that generates a signal including a singular point.

図10は本発明の第5と第6の観点に係る信号処理システムの原信号変換部の符号内符号処理機能51の構成図を示し、短符号変換手段52と、短信号変換手段53と、短同期信号発生手段54と、から構成されている。
短同期信号発生手段54は前記符号内符号処理機能51に入力される同期信号16を基に、符号内符号長に対応した所定の割合で、短い短同期信号を発生させるもので、この短同期信号を短符号変換手段52と、短信号変換手段53に供給する。 短符号変換手段52は、前記短同期信号を基に、特定の符号を発生させ、入力した内部信号17を演算処理して原信号より短時間長で構成される短内部信号を生成し信号変換手段53に渡す。信号変換手段53は前記短同期信号を基に、短内部信号を、特異点を有する信号に変換する。図11から図13は、上の信号処理を図示したもので、図12は短同期信号発生手段54で発生した短同期信号の波形を表している。図11は所定の短同期信号に同期した所定の符号列から構成される短変換符号を表している。図13は前記信号変換手段53により変換された特異点を含む信号を表していて、特異点を含む特異点領域と、短変換符号が有する直交特異点の領域の一例を示している。
FIG. 10 shows a block diagram of the intra-code processing function 51 of the original signal converter of the signal processing system according to the fifth and sixth aspects of the present invention. The short code converter 52, the short signal converter 53, Short synchronization signal generating means 54.
The short synchronization signal generating means 54 generates a short short synchronization signal at a predetermined ratio corresponding to the intracode length based on the synchronization signal 16 input to the intracode processing function 51. The signal is supplied to the short code conversion means 52 and the short signal conversion means 53. The short code conversion means 52 generates a specific code based on the short synchronization signal, performs arithmetic processing on the input internal signal 17 to generate a short internal signal having a shorter length than the original signal, and performs signal conversion Pass to means 53. The signal conversion means 53 converts the short internal signal into a signal having a singular point based on the short synchronization signal. FIGS. 11 to 13 illustrate the above signal processing, and FIG. 12 shows the waveform of the short synchronization signal generated by the short synchronization signal generating means 54. FIG. 11 shows a short conversion code composed of a predetermined code string synchronized with a predetermined short synchronization signal. FIG. 13 shows a signal including a singular point converted by the signal converting means 53, and shows an example of a singular point region including a singular point and an orthogonal singular point region included in a short conversion code.

図14は本発明の第8の観点に係る原信号変換部を有する信号処理システムで、原信号変換部からの出力される特異点を有する信号は、固定の識別レベル61を保持していて、特異点を含む特異点信号の符号識別方法と固定レベル識別方法とも共用可能としている。  FIG. 14 shows a signal processing system having an original signal conversion unit according to the eighth aspect of the present invention. A signal having a singular point output from the original signal conversion unit holds a fixed identification level 61. The code identification method and the fixed level identification method for the singularity signal including the singularity can be shared.

図15は本発明の第9の観点に係る原信号変換部71を有する信号処理システムで、原信号変換部71からの出力には、演算処理して特定の特異点関数とする演算関数を、構成要素に分解して、符号化信号として出力し、特異点を含む信号とともに出力している。
図15は、特異点を含む信号と符号化信号は平行して出力されるが、特異点を含む信号内に含めて送信する事も可能である。
FIG. 15 shows a signal processing system having an original signal conversion unit 71 according to the ninth aspect of the present invention. In the output from the original signal conversion unit 71, an arithmetic function to be processed into a specific singularity function is obtained. The signal is decomposed into components, output as an encoded signal, and output together with a signal including a singular point.
In FIG. 15, a signal including a singular point and an encoded signal are output in parallel, but can be included in a signal including a singular point and transmitted.

図16は本発明の第10の観点に係る信号処理システムの原信号変換部に新に備えた、雑音信号を発生する雑音信号発生手段と、出力される信号に雑音を付加する合成部と、の構成図を示している。 雑音信号発生手段は、擬似ランダム信号を信号処理手段で発生させる手段、抵抗体から発生する熱雑音源を用いて発生する手段、予め計測されたデータを記憶させて置いて、参照する手段等で実現できる。  FIG. 16 shows a noise signal generation means for generating a noise signal newly provided in the original signal conversion section of the signal processing system according to the tenth aspect of the present invention, a synthesis section for adding noise to the output signal, The block diagram of is shown. The noise signal generating means is a means for generating a pseudo random signal by a signal processing means, a means for generating using a thermal noise source generated from a resistor, a means for storing and referring to pre-measured data, etc. realizable.

図17は本発明の第11の観点に係る原信号変換機能を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力した信号から同期信号を抽出する同期信号生成ステップ103
ステップ3 同期信号を基準にして、特定の被特異点関数を発生する被特異点関数生成 ステップ104
ステップ4 入力装置からの信号を、特定の被特異点関数を用いて、特定の特異点を含 む信号に変換する信号変換ステップ105
ステップ5 出力装置に、特異点を含む信号を渡す出力ステップ108
FIG. 17 is a signal processing system having an original signal conversion function according to the eleventh aspect of the present invention, and realizes program execution by the following steps.
Step 1 Step 102 for receiving a signal from the input device
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the input signal
Step 3 Generation of a singularity function that generates a specific singularity function based on the synchronization signal Step 104
Step 4 Signal conversion step 105 for converting a signal from the input device into a signal including a specific singularity using a specific singularity function
Step 5 An output step 108 of passing a signal including a singular point to the output device

図18は本発明の第12の観点に係る原信号変換機能を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力装置からの信号から同期信号を抽出する同期信号生成ステップ103
ステップ3 同期信号を基準にして、特定の被特異点関数を発生する被特異点関数生成 ステップ104
ステップ4 入力装置からの信号を特定の特異点を含む信号に変換する信号変換ステッ プ105
ステップ5 特異点を含む信号を特定の演算処理して、特異点を持つ信号に変換し、こ の特異点を持つ信号と特定の特異点をもつ関数との誤差を検出する誤差検 出ステップ111
ステップ6 信号変換ステップで変換された特異点を含む信号を、誤差検出ステップか らの誤差信号を逆演算した信号で修正する修正ステップ112
ステップ7 出力装置に、特異点を含む信号を渡すステップ108
本発明の第12の観点に係る原信号変換機能を備える信号処理システムであって、特異点を含む信号と被特異点関数との誤差信号より修正する場合には、上記ステップの内、ステップ5とステップ6は以下に示すステップによりプログラム実行を実現する。
ステップ5 特異点を含む信号と、特定の特異点を含む特定の被特異点関数との誤差を 検出する誤差検出ステップ111
ステップ6 信号変換ステップで変換された特異点を含む信号を、誤差検出ステップか らの誤差信号で修正する修正ステップ112
FIG. 18 is a signal processing system having an original signal conversion function according to the twelfth aspect of the present invention, and realizes program execution by the following steps.
Step 1 Step 102 for receiving a signal from the input device
Step 2 Synchronizing signal generation step 103 for extracting the synchronizing signal from the signal from the input device
Step 3 Generation of a singularity function that generates a specific singularity function based on the synchronization signal Step 104
Step 4 Signal conversion step 105 for converting the signal from the input device into a signal including a specific singularity
Step 5 A signal including a singular point is subjected to specific arithmetic processing, converted into a signal having a singular point, and an error detection step 111 for detecting an error between the signal having the singular point and a function having the specific singular point.
Step 6 A correction step 112 for correcting the signal including the singular point converted in the signal conversion step with a signal obtained by inversely calculating the error signal from the error detection step.
Step 7: Passing the signal including the singularity to the output device 108
In the signal processing system having the original signal conversion function according to the twelfth aspect of the present invention, in the case of correcting from an error signal between a signal including a singular point and a singular point function, step 5 of the above steps is performed. Step 6 implements program execution by the following steps.
Step 5: Error detection step 111 for detecting an error between a signal including a singular point and a specific singularity function including a specific singular point.
Step 6 A correction step 112 for correcting the signal including the singular point converted in the signal conversion step with the error signal from the error detection step.

図19は本発明の第13の観点に係る原信号変換機能を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力装置からの信号から、同期信号を抽出する同期信号生成ステップ10 3
ステップ3 同期信号を基準に、第2の同期信号を発生させる第2同期信号発生ステッ プ121
ステップ4 第2同期信号を基準にして、特定の被特異点関数を発生する被特異点関数 生成ステップ104
ステップ5 符号列に同期した列同期信号を発生する列同期信号発生ステップ122
ステップ5 直交特異点を発生させ、所定の符号を付加した符号列を作成する符号列作 成ステップ123
ステップ6 第2の同期信号を基準にして、特定の特異点を含む信号を発生する信号変 換ステップ124
ステップ7 出力装置に、特異点を含み、直交特異点を有する信号を渡すステップ12 5
FIG. 19 is a signal processing system having an original signal conversion function according to the thirteenth aspect of the present invention, and realizes program execution by the following steps.
Step 1 Step 102 for receiving a signal from the input device
Step 2 Synchronizing signal generation step 10 3 for extracting a synchronizing signal from the signal from the input device
Step 3 A second synchronization signal generation step 121 for generating a second synchronization signal based on the synchronization signal.
Step 4: A singular point function generation step 104 for generating a specific singular point function with reference to the second synchronization signal
Step 5: A sequence synchronization signal generation step 122 for generating a sequence synchronization signal synchronized with the code sequence
Step 5 Code sequence generation step 123 for generating orthogonal singularities and generating a code sequence to which a predetermined code is added
Step 6 Signal conversion step 124 for generating a signal including a specific singular point with reference to the second synchronization signal.
Step 7 Step 12 5 of passing the signal including the singularity and having the orthogonal singularity to the output device

図20は本発明の第14の観点に係る原信号変換機能を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力装置からの信号から同期信号を抽出する同期信号生成ステップ103
ステップ3 同期信号抽出ステップからの同期信号を基準に短同期信号を発生させる短 同期信号発生ステップ131
ステップ4 短同期信号発生ステップからの短同期信号を基準にして、短符号に変換す る短符号変換ステップ132
ステップ5 特定の被特異点関数を発生させる被特異点関数発生ステップ133
ステップ6 特定の被特異点関数を用いて、短符号信号を特異点を含む信号に変換する 信号変換ステップ134
ステップ7 出力装置に、特異点を含む信号を渡すステップ135
FIG. 20 is a signal processing system having an original signal conversion function according to the fourteenth aspect of the present invention, and realizes program execution by the following steps.
Step 1 Step 102 for receiving a signal from the input device
Step 2 Synchronizing signal generation step 103 for extracting the synchronizing signal from the signal from the input device
Step 3 A short synchronization signal generation step 131 for generating a short synchronization signal based on the synchronization signal from the synchronization signal extraction step.
Step 4 Short code conversion step 132 for converting to a short code based on the short synchronization signal from the short synchronization signal generation step.
Step 5 Singular point function generation step 133 for generating a specific singularity function
Step 6 Using a specific singularity function, the short code signal is converted into a signal including a singularity. Signal conversion step 134
Step 7: Passing a signal including a singular point to the output device 135

本発明の第15の観点に係る原信号変換機能を備える信号処理システムでは、原信号変換部機能からの出力される特異点を有する信号は、通常の識別レベルを保持していて、特異点を含む特異点信号の符号識別方法と固定レベル識別方法とも共用可能とするプログラム実行を実現する。  In the signal processing system having the original signal conversion function according to the fifteenth aspect of the present invention, the signal having the singular point output from the original signal conversion unit function holds a normal identification level, and The program execution is realized so that both the code identification method and the fixed level identification method of the singularity signal can be shared.

図21は本発明の第16の観点に係る原信号変換部を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
なお、図21には発明の第11の観点に関わる共通のステップ、101,102,103は図示していない。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力装置からの信号から、同期信号を抽出する同期信号抽出ステップ10 3
ステップ3 被特異点関数を発生させる特定の被特異点関数生成ステップ104
ステップ4 同期信号を基準に、特異点を含む信号に変換する信号変換ステップ105
ステップ5 被特異点関数を符号化する被特異点関数符号化ステップ141
ステップ6 出力装置に、特定の特異点関数と特異点を含む信号を渡す合成ステップ1 42
FIG. 21 is a signal processing system including an original signal conversion unit according to the sixteenth aspect of the present invention, and realizes program execution by the following steps.
FIG. 21 does not show the common steps 101, 102, and 103 related to the eleventh aspect of the invention.
Step 1 Step 102 for receiving a signal from the input device
Step 2 A synchronization signal extraction step 10 3 for extracting a synchronization signal from the signal from the input device
Step 3 A specific singularity function generation step 104 for generating a singularity function
Step 4: Signal conversion step 105 for converting into a signal including a singular point with reference to the synchronization signal
Step 5: A singularity function encoding step 141 for encoding the singularity function.
Step 6 Synthesis step 1 42 for passing a signal containing a specific singularity function and a singularity to the output device

図22は本発明の第17の観点に係る原信号変換機能を備える信号処理システムであって、以下に示すステップによりプログラム実行を実現する。
なお、図22には発明の第11の観点に関わる共通のステップ、101,102,103は図示していない。
ステップ1 入力装置から信号を受け取るステップ102
ステップ2 入力した信号から同期信号を抽出する同期信号生成ステップ103
ステップ3 同期信号を基準にして、特定の被特異点関数を発生する被特異点関数発生 ステップ104
ステップ4 入力装置からの信号を特定の特異点を含む信号に変換する信号変換ステッ プ105
ステップ5 雑音信号を発生するステップ151
ステップ6 信号変換ステップから出力される信号に雑音を付加し、雑音を付加した特 異点を含む信号を渡す合成ステップ152
FIG. 22 is a signal processing system having an original signal conversion function according to the seventeenth aspect of the present invention, and realizes program execution by the following steps.
Note that FIG. 22 does not show common steps 101, 102, and 103 related to the eleventh aspect of the invention.
Step 1 Step 102 for receiving a signal from the input device
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the input signal
Step 3 Singular point function generation for generating a specific singularity function with reference to the synchronization signal Step 104
Step 4 Signal conversion step 105 for converting the signal from the input device into a signal including a specific singularity
Step 5 Step 151 for generating a noise signal
Step 6 Synthesis step 152 adds noise to the signal output from the signal conversion step and passes the signal including the characteristic points with the added noise.

また、本発明の1項から17項に記載の信号処理システム以外に、本発明の情報記録媒体に記録されたプログラムの実行を使用して、信号処理装置、信号測定装置、情報処理装置(汎用コンピュータなど)、信号処理部品、信号測定部品、および情報処理部品を実現することができる。  In addition to the signal processing system according to items 1 to 17 of the present invention, the execution of a program recorded on the information recording medium of the present invention is used to perform signal processing device, signal measuring device, information processing device (general purpose). A computer), a signal processing component, a signal measuring component, and an information processing component.

本発明の信号処理システムは、信号処理装置、情報処理装置、および情報記憶媒体を用いて実現でき、原信号としては電気信号、光信号、音響信号に係らず、どれにでも適用できる。
また、本発明の信号処理システムは、原信号変換方法を実現するプログラム、本発明の特異点逆関数発生手段で発生する信号、および特異点を含むデジタル信号を、コンパクトディスク、フロッピーディスク、ハードディスク、半導体メモリなどの情報記録媒体に記録することができる。
The signal processing system of the present invention can be realized by using a signal processing device, an information processing device, and an information storage medium, and can be applied to any original signal regardless of an electric signal, an optical signal, or an acoustic signal.
Further, the signal processing system of the present invention includes a program for realizing an original signal conversion method, a signal generated by the singular point inverse function generating means of the present invention, and a digital signal including a singular point, a compact disk, a floppy disk, a hard disk, It can be recorded on an information recording medium such as a semiconductor memory.

本発明の信号処理システムの一実施例を示す構成図である。  It is a block diagram which shows one Example of the signal processing system of this invention. 特定の特異点関数の一例を示す。  An example of a specific singularity function is shown. 特定の被特異点関数の一例を示す。  An example of a specific singularity function is shown. 特異点を含む信号の特異点生成領域の一例を示す。  An example of the singularity generation area | region of the signal containing a singularity is shown. 特異点を含む信号に変換する信号変換手段の一例を示す。  An example of the signal conversion means which converts into the signal containing a singular point is shown. 本発明の信号処理システムの第二の実施例を示す構成図である。  It is a block diagram which shows the 2nd Example of the signal processing system of this invention. 本発明の信号処理システムの第三の実施例を示す構成図である  It is a block diagram which shows the 3rd Example of the signal processing system of this invention. 本発明の信号処理システムの第四の実施例を示す構成図である。  It is a block diagram which shows the 4th Example of the signal processing system of this invention. 第四の実施例における符号列間で極性反転をもつ信号の一例を示す。  An example of a signal having polarity inversion between code strings in the fourth embodiment will be shown. 本発明の信号処理システムの第五の実施例を示す構成図である。  It is a block diagram which shows the 5th Example of the signal processing system of this invention. 短変換信号の一例を示す。  An example of a short conversion signal is shown. 短変換信号の同期信号の一例を示す  An example of the sync signal of the short conversion signal 特異点を含む短符号信号の一例を示す。  An example of the short code signal containing a singular point is shown. 本発明の第八の実施例を示す特異点を含む信号と識別レベルとの関係図である。  It is a relationship diagram between a signal including a singular point and an identification level according to the eighth embodiment of the present invention. 本発明の第九の実施例を示す構成図である。  It is a block diagram which shows the 9th Example of this invention. 本発明の第十の実施例を示す構成図である。  It is a block diagram which shows the 10th Example of this invention. 本発明の信号処理システムの第十一の実施例を示す信号処理ステップである。  It is a signal processing step which shows the 11th Example of the signal processing system of this invention. 本発明の信号処理システムの第十二の実施例を示す信号処理ステップである。  It is a signal processing step which shows the 12th Example of the signal processing system of this invention. 本発明の信号処理システムの第十三の実施例を示す信号処理ステップである。  It is a signal processing step which shows the 13th Example of the signal processing system of this invention. 本発明の信号処理システムの第十四の実施例を示す信号処理ステップである。  It is a signal processing step which shows the 14th Example of the signal processing system of this invention. 本発明の信号処理システムの第十六の実施例を示す信号処理ステップである。  It is a signal processing step which shows the 16th Example of the signal processing system of this invention. 本発明の信号処理システムの第十七の実施例を示す雑音を付加する信号処理ステップである。  It is a signal processing step of adding noise showing the seventeenth embodiment of the signal processing system of the present invention.

符号の説明Explanation of symbols

10 原信号を有する信号の入力
11 原信号変換部
12 入力部
13 同期信号抽出手段
15 信号変換手段
16 同期信号
17 内部信号
18 出力部
19 特異点を含む信号の出力信号
21 原信号変換部
23 準信号点変換手段
31 原信号変換部
32 誤差検出手段
33 修正手段
35 精度の高い特異点を含む信号の出力信号
41 直交機能
42 符号列作成手段
43 列同期信号発生手段
44 第2同期信号発生手段
45 信号変換手段
46 第2同期信号
48 特異点を含む信号
51 原信号変換部
52 短符号変換手段
53 短信号変換手段
54 短同期信号発生手段
55 特異点を含む信号
61 通常の識別レベル
71 原信号変換部
72 符号化手段
73 符号化信号
81 関数発生信号の出力
91 雑音発生手段
92 合成手段
93 合成出力信号
100 信号処理ステップ
101 入力装置
102 入力ステップ
103 同期信号生成ステップ
104 被特異点関数生成ステップ
105 信号変換ステップ
108 出力ステップ
109 出力装置
110 信号処理ステップ
111 誤差検出ステップ
112 修正ステップ
120 信号処理ステップ
121 第2同期信号生成ステップ
122 列同期信号発生ステップ
123 符号列作成ステップ
124 信号変換ステップ
125 出力ステップ
130 信号処理ステップ
131 短同期信号発生ステップ
132 短符号変換ステップ
133 被特異点関数生成ステップ
134 信号変換ステップ
135 出力ステップ
140 信号処理ステップ
141 被特異店関数符号化ステップ
142 出力ステップ
150 信号処理ステップ
151 雑音発生ステップ
152 合成ステップ
DESCRIPTION OF SYMBOLS 10 Input of signal having original signal 11 Original signal conversion unit 12 Input unit 13 Synchronization signal extraction unit 15 Signal conversion unit 16 Synchronization signal 17 Internal signal 18 Output unit 19 Output signal 21 including singular point Original signal conversion unit 23 Signal point conversion means 31 Original signal conversion section 32 Error detection means 33 Correction means 35 Output signal 41 of signal including singular point with high accuracy 41 Orthogonal function 42 Code string creation means 43 Column synchronization signal generation means 44 Second synchronization signal generation means 45 Signal conversion means 46 Second synchronization signal 48 Signal 51 including singular points Original signal conversion section 52 Short code conversion means 53 Short signal conversion means 54 Short synchronization signal generating means 55 Signal including singular points 61 Normal discrimination level 71 Original signal conversion Unit 72 encoding means 73 encoded signal 81 output of function generation signal 91 noise generation means 92 combining means 93 combined output signal 100 signal processing 101 Input device 102 Input step 103 Synchronization signal generation step 104 Singular point function generation step 105 Signal conversion step 108 Output step 109 Output device 110 Signal processing step 111 Error detection step 112 Correction step 120 Signal processing step 121 Second synchronization signal Generation step 122 Sequence synchronization signal generation step 123 Code sequence creation step 124 Signal conversion step 125 Output step 130 Signal processing step 131 Short synchronization signal generation step 132 Short code conversion step 133 Singular point function generation step 134 Signal conversion step 135 Output step 140 Signal processing step 141 Singular store function encoding step 142 Output step 150 Signal processing step 151 Noise generation step 152 Synthesis step

Claims (17)

原信号変換部を備える特異点信号処理システムであって、(1)前記原信号変換部には、原信号変換部に入力された入力信号から原信号の同期信号を抽出する同期信号抽出手段と、内部信号処理に適した内部信号を出力する入力部と、前記内部信号を、特異点を含む信号に変換する信号変換手段と、信号変換手段からの特異点を含む信号を出力させる出力部と、を備え、(2)原信号を有する入力信号から内部の信号変換に適した内部信号を生成し、原信号の同期信号を基準に、特異点を含む信号を発生する事ができる特定の関数を用いて前記内部信号を、特異点を含む信号に変換し、特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singular point signal processing system including an original signal conversion unit, (1) a synchronization signal extraction unit that extracts a synchronization signal of an original signal from an input signal input to the original signal conversion unit; An input unit that outputs an internal signal suitable for internal signal processing, a signal conversion unit that converts the internal signal into a signal including a singular point, and an output unit that outputs a signal including a singular point from the signal conversion unit (2) A specific function capable of generating an internal signal suitable for internal signal conversion from an input signal having an original signal, and generating a signal including a singular point on the basis of the synchronization signal of the original signal A singularity signal processing system, wherein the internal signal is converted into a signal including a singularity using a signal and a signal including a singularity is output. 原信号変換部を備える特異点信号処理システムであって、(1)前記原信号変換部には、原信号変換部に入力された入力信号から原信号の同期信号を抽出する同期信号抽出手段と、内部信号処理に適した内部信号を出力する入力部と、前記内部信号を、準特異点を含む信号に変換する信号変換手段と、信号変換手段からの準特異点を含む信号を出力させる出力部と、を備え、(2)原信号を有する入力信号から内部の信号変換に適した内部信号を生成し、原信号の同期信号を基準に信号処理して準特異点を含む信号を発生する事ができる特定の関数を用いて前記内部信号を、準特異点を含む信号に変換し、準特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singular point signal processing system including an original signal conversion unit, (1) a synchronization signal extraction unit that extracts a synchronization signal of an original signal from an input signal input to the original signal conversion unit; An input unit that outputs an internal signal suitable for internal signal processing; a signal conversion unit that converts the internal signal into a signal that includes a quasi-singular point; and an output that outputs a signal including a quasi-singular point from the signal conversion unit (2) generating an internal signal suitable for internal signal conversion from the input signal having the original signal, and generating a signal including a quasi-singular point by performing signal processing based on the synchronization signal of the original signal A singularity signal processing system, wherein the internal signal is converted into a signal including a quasi-singularity using a specific function that can perform a function, and a signal including a quasi-singularity is output. 請求項1と2のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、(1)前記原信号変換部には、原信号変換手段からの特異点を含む信号を、特定の信号処理により特異点を持つ信号に変換し、この特異点が持つ信号の誤差を検出する誤差検出手段と、前記誤差検出手段で検出された誤差信号から前記信号変換手段で変換された信号を、精度の高い特異点を含む信号に修正する修正手段と、を新たに備え、(2)特異点を含む信号を特定の信号処理により特異点を持つ信号に変換し、変換された特異点が持つ信号の誤算を検出し、検出した誤差信号から特異点を含む信号を修正し、精度の高い特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singular point signal processing system comprising the original signal conversion unit according to claim 1, wherein (1) the original signal conversion unit includes a signal including a singular point from the original signal conversion unit. Is converted into a signal having a singular point by specific signal processing, an error detection means for detecting an error of the signal possessed by this singular point, and the signal conversion means from the error signal detected by the error detection means. And (2) a signal including a singular point is converted into a signal having a singular point by a specific signal processing, and is converted. A singularity signal processing system characterized by detecting a miscalculation of a signal of a singularity, correcting a signal including a singularity from the detected error signal, and outputting a signal including a singularity with high accuracy. 請求項1から3のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、(1)原信号変換部の同期信号抽出手段の出力の同期信号から、ある割合で同期間隔を短くした第2の同期信号を発生させる第2同期信号発生手段と、前記同期信号から符号列に同期した列同期信号を発生する列同期信号発生手段と、前記列同期信号と第2の同期信号とを基準にして、原信号変換部の入力部からの内部信号に直交特異点を発生させる符号列作成手段と、を新たに備え、(2)内部信号を、所定の符号を付加した符号列を作成して列同期信号間あるいは列同期信号列内で直交特異点を発生させ、第2の同期信号毎に特異点を含み、且つ列同期信号毎に少なくとも1個の直交特異点を持つ信号を出力することを特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion unit according to any one of claims 1 to 3, wherein (1) the synchronization signal output from the synchronization signal extraction means of the original signal conversion unit is at a certain ratio. Second synchronization signal generating means for generating a second synchronization signal with a reduced synchronization interval, column synchronization signal generating means for generating a column synchronization signal synchronized with a code string from the synchronization signal, the column synchronization signal and the second Code sequence generating means for generating an orthogonal singular point in the internal signal from the input unit of the original signal conversion unit on the basis of the synchronization signal of (2), and (2) adding a predetermined code to the internal signal To generate orthogonal singularities between or within the column synchronization signal sequences, including singular points for each second synchronization signal, and at least one orthogonal singularity for each column synchronization signal Singularity characterized by outputting a signal with No. processing system. 請求項1から4のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、(1)前記原信号変換部には、新たに同期信号を基準に同期信号より同期長が短い短同期信号を発生する短同期信号発生手段と、前記短同期信号発生手段により発生された短同期信号を基準に短符号信号に変換する短符号変換処理と、また信号処理システムの信号変換手段に代えて前記短符号信号を、特異点を含む信号に変換する短信号変換手段と、を備え、(2)同期信号より同期長が短い短同期信号を基準に所定の符合との演算から短符号信号に変換し、この短符号信号に特異点を含む信号を発生させ、特異点を含む信号には短同期毎に特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion unit according to any one of claims 1 to 4, wherein (1) the original signal conversion unit is newly synchronized with a synchronization signal based on a synchronization signal. A short sync signal generating means for generating a short sync signal having a short length, a short code converting process for converting the short sync signal generated by the short sync signal generating means into a short code signal, and a signal of the signal processing system Short signal conversion means for converting the short code signal into a signal including a singular point instead of the conversion means, and (2) calculation with a predetermined code based on the short synchronization signal having a shorter synchronization length than the synchronization signal Singularity signal processing, characterized in that a signal containing a singular point is generated in the short code signal, and a signal containing a singular point is output for each short synchronization signal. system. 請求項5項に記載する原信号変換部を備える特異点信号処理システムであって、同期信号区間に対して複数の所定の符号から順次選択し、選択されたと符号と演算して短符号信号を発生し、この短符号信号を、特異点を含む信号に変換し、短特異点を含む信号には短同期毎に特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion unit according to claim 5, wherein the synchronization signal section is sequentially selected from a plurality of predetermined codes, and a short code signal is calculated by calculating the selected code. A singularity signal processing system which generates and converts this short code signal into a signal including a singularity and outputs a signal including a singularity for each short synchronization to a signal including a short singularity. 請求項5から6のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、短符号変換処理に用いる特定の符合には、特定の位置に直交特異点を持つ符号とし、短同期毎に特異点を含み、また同期毎に直交特異点を持つ信号を出力することを特徴とする特異点信号処理システム。  A singular point signal processing system comprising the original signal conversion unit according to any one of claims 5 to 6, wherein a specific code used for short code conversion processing has a code having an orthogonal singular point at a specific position. And a singularity signal processing system which outputs a signal including a singularity for each short synchronization and having an orthogonal singularity for each synchronization. 請求項1から7のいずれか1項に記載する原信号変換部を備え特異点信号処理システムであって、前記信号処理システムの原信号変換部の信号変換手段で発生させる特異点を含む信号は、特異点領域での符号判定による識別点との差を少なくし、出力される信号に対応する符号判定による識別点が、特異点を含む信号が他の識別方法でも識別可能とするようにした、特異点を含む信号を出力することを特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion section according to any one of claims 1 to 7, wherein the signal including the singularity generated by the signal conversion means of the original signal conversion section of the signal processing system is The difference from the identification point by the code determination in the singularity region is reduced, and the identification point by the code determination corresponding to the output signal can be identified by other identification methods. A singularity signal processing system that outputs a signal including a singularity. 請求項1から8のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、符号化手段を新しく備え、前記原信号変換部の入力部からの内部信号を信号処理して、特異点を含む信号に変換する特定の関数を構成要素に分解して、特異点を含む信号とともに出力する事を特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion unit according to any one of claims 1 to 8, further comprising an encoding means, and processing an internal signal from an input unit of the original signal conversion unit A singularity signal processing system characterized by decomposing a specific function to be converted into a signal including a singularity into components and outputting the function together with a signal including the singularity. 請求項1から12のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、(1)前記原信号変換部に、雑音信号を発生する雑音発生手段と、出力部から出力される信号に雑音を付加する合成部と、新たに備え、(2)特異点を含む信号が付加された雑音と合成されて出力する事を特徴とする特異点信号処理システム。  A singularity signal processing system comprising the original signal conversion unit according to any one of claims 1 to 12, wherein (1) a noise generating means for generating a noise signal in the original signal conversion unit, and an output unit A synthesizer for adding noise to the signal output from the synthesizer, and (2) a singularity signal processing system characterized in that it is synthesized with the noise added with the signal including the singularity and output. 請求項1から2項のいずれか1項に記載する原信号変換機能を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)入力装置から入力信号を読み込む入力ステップと、入力ステップで読み込まれたデジタル信号から同期信号を抽出する同期信号抽出ステップと、特定の被特異点関数を発生させる被特異点関数発生ステップと、特定の被特異点関数を用いて前記同期信号を基準に特異点を含む信号に変換する信号変換ステップと、出力装置に特異点を含む信号を渡すステップを備え、(2)入力ステップで内部信号処理に適したデジタル信号を生成し、信号処理して特異点を含む信号を発生する事ができる特定の関数を用いて前記デジタル信号を、特異点を含む信号に変換し、出力装置に特異点を含む信号を渡すステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system having the original signal conversion function according to claim 1, wherein the signal processing step from the input device to the output device includes (1) an input signal from the input device. An input step for reading out, a synchronization signal extraction step for extracting a synchronization signal from the digital signal read in the input step, a singular point function generation step for generating a specific singularity function, and a specific singularity function A signal conversion step for converting the signal into a signal including a singular point using the synchronization signal as a reference, and a step of passing the signal including the singular point to an output device. (2) A digital signal suitable for internal signal processing is input in the input step. Convert the digital signal to a signal containing singularities using a specific function that can generate and process signals and generate signals containing singularities, and output the singularities to the output device Information recording medium for recording a program for implementing the steps of passing a signal which includes. 請求項11項に記載する原信号変換機能を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)入力装置から入力信号を読み込む入力ステップと、入力ステップで読み込まれたデジタル信号から同期信号を抽出する同期信号抽出ステップと、ある割合で同期間隔を短くした第2の同期信号を発生させる第2同期信号発生ステップと、特定の被特異点関数を発生させる被特異点関数発生ステップと、前記第2の同期信号から符号列に同期した列同期信号を発生する列同期信号発生ステップと、特定の被特異点関数を用いて前記第2同期信号を基準に特異点を含む信号に変換する信号変換ステップと、信号変換ステップで変換された特異点を含む信号に、所定の符号を付加し直交特異点を持つ符号列信号を作成させる符号列作成ステップと、出力装置に特異点および直交特異点を持つ符号列信号を含む信号を渡すステップと、を備え、(2)入力ステップで内部信号処理に適したデジタル信号を生成し、同期間隔を短くした第2の同期信号を用いて所定の符号を付加した符号列信号を作成し、符号列間あるいは符号列内で直交特異点を持つ信号を発生させ、第2の同期信号毎に特異点を含み、また列同期毎に直交特異点を持つ信号を得ることを特徴とする信号処理ステップを実現するプログラムを記録した情報記録媒体。  The singular point signal processing system having the original signal conversion function according to claim 11, wherein the signal processing steps from the input device to the output device include: (1) an input step of reading an input signal from the input device; A synchronization signal extraction step for extracting a synchronization signal from the digital signal read in the step, a second synchronization signal generation step for generating a second synchronization signal having a synchronization interval shortened at a certain rate, and a specific singularity function. A singular point function generation step for generating, a column synchronization signal generation step for generating a column synchronization signal synchronized with a code string from the second synchronization signal, and the second synchronization signal using a specific singularity function. A signal conversion step that converts a signal that includes a singular point as a reference, and a code that has an orthogonal singularity by adding a predetermined code to the signal that includes the singular point converted by the signal conversion step A code sequence generating step for generating a signal, and a step of passing a signal including a code sequence signal having a singular point and an orthogonal singular point to the output device, and (2) a digital signal suitable for internal signal processing in the input step Generating a code sequence signal to which a predetermined code is added using the second synchronization signal with a reduced synchronization interval, generating a signal having orthogonal singularities between or within the code sequences, An information recording medium recording a program for realizing a signal processing step characterized in that a signal having a singular point for each synchronization signal and having an orthogonal singular point for each column synchronization is obtained. 請求項11から12のいずれか1項に記載する原信号変換機能を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)入力されたデジタル信号から同期信号を抽出する同期信号抽出ステップと、前記同期信号から短同期信号を発生する短同期信号発生ステップと、前記短同期信号により所定の短符号信号を発生する短符号発生ステップと、前記短符号信号に特異点を含む信号に変換する短信号変換ステップと、を備え、(2)特異点を含む信号には短同期毎に特異点を含む信号を得ることを特徴とする信号処理ステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system comprising the original signal conversion function according to any one of claims 11 to 12, wherein the signal processing step from the input device to the output device includes (1) from an input digital signal A synchronization signal extraction step for extracting a synchronization signal; a short synchronization signal generation step for generating a short synchronization signal from the synchronization signal; a short code generation step for generating a predetermined short code signal from the short synchronization signal; and the short code And (2) a signal processing step characterized by obtaining a signal including a singular point for each short synchronization in a signal including a singular point. An information recording medium on which a program to be recorded is recorded. 請求項11から12のいずれか1項に記載する原信号変換機能を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)入力されたデジタル信号から同期信号を抽出する同期信号抽出ステップと、前記同期信号から短同期信号を発生する短同期信号発生ステップと、所定の短信号を発生する短信号発生ステップと、短符号発生ステップにより発生された短信号に特異点を含む信号に変換する短信号変換ステップと、を備え、(2)特異点を含む信号には短同期毎に特異点を含み、また同期毎に直交特異点を持つ信号を得ることを特徴とする、信号処理ステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system comprising the original signal conversion function according to any one of claims 11 to 12, wherein the signal processing step from the input device to the output device includes (1) from an input digital signal A synchronization signal extraction step for extracting a synchronization signal, a short synchronization signal generation step for generating a short synchronization signal from the synchronization signal, a short signal generation step for generating a predetermined short signal, and a short signal generated by a short code generation step (2) A signal including a singular point includes a singular point for each short synchronization, and obtains a signal having an orthogonal singular point for each synchronization. An information recording medium on which a program for realizing a signal processing step is recorded. 請求項11から14のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)前記原信号変換部の特異点変換ステップで発生させる特異点を含む信号は、特異点領域で符号識別の差を少なくし、(2)出力される信号に対応する符号識別が、他の識別方法とも識別可能とするようにした、特異点を含む信号を得ることを特徴とする信号処理ステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system comprising the original signal converter according to any one of claims 11 to 14, wherein the signal processing step from the input device to the output device includes (1) the original signal converter The signal including the singular point generated in the singular point conversion step reduces the difference in code identification in the singular point region, and (2) the code identification corresponding to the output signal can be distinguished from other identification methods. An information recording medium recorded with a program for realizing a signal processing step characterized by obtaining a signal including a singular point. 請求項11から15のいずれか1項に記載する原信号変換部を備える特異点信号処理システムであって、前記原信号変換部の入力部から出力される内部信号から演算処理して特定の特異点関数とする演算関数を、構成要素に分解して、記号化し、特異点を含む信号とともに出力する事を特徴とする信号処理ステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system comprising the original signal conversion unit according to any one of claims 11 to 15, wherein a specific singularity is obtained by performing arithmetic processing from an internal signal output from an input unit of the original signal conversion unit. An information recording medium recording a program for realizing a signal processing step characterized in that an arithmetic function as a point function is decomposed into components, symbolized, and output together with a signal including a singular point. 請求項11から16のいずれか1項に記載する原信号変換機能を備える特異点信号処理システムであって、入力装置から出力装置までの信号処理ステップには、(1)前記原信号変換機能に、雑音信号を発生する雑音発生ステップと、特異点変換ステップから出力される信号に雑音を付加する合成ステップと、を新たに備え、(2)特異点を含む特異点信号が、付加された雑音により合成されて出力信号を発生する事を特徴とする特異点を有する信号処理ステップを実現するプログラムを記録した情報記録媒体。  A singularity signal processing system comprising the original signal conversion function according to any one of claims 11 to 16, wherein the signal processing step from the input device to the output device includes (1) the original signal conversion function. A noise generation step for generating a noise signal, and a synthesis step for adding noise to the signal output from the singular point conversion step, and (2) noise with a singular point signal including a singular point added thereto An information recording medium having recorded thereon a program for realizing a signal processing step having a singular point, characterized in that an output signal is generated by being synthesized by the above.
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