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JP2778312B2 - Magnetic reproduction circuit - Google Patents

Magnetic reproduction circuit

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Publication number
JP2778312B2
JP2778312B2 JP28027591A JP28027591A JP2778312B2 JP 2778312 B2 JP2778312 B2 JP 2778312B2 JP 28027591 A JP28027591 A JP 28027591A JP 28027591 A JP28027591 A JP 28027591A JP 2778312 B2 JP2778312 B2 JP 2778312B2
Authority
JP
Japan
Prior art keywords
hilbert transform
signal
output
outputs
differential
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
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JP28027591A
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Japanese (ja)
Other versions
JPH052709A (en
Inventor
毅 寺沢
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Mitsubishi Electric Corp
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Mitsubishi Electric Corp
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Priority to JP28027591A priority Critical patent/JP2778312B2/en
Publication of JPH052709A publication Critical patent/JPH052709A/en
Application granted granted Critical
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Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【産業上の利用分野】この発明は、磁気記録再生装置に
用いられる再生回路に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a reproducing circuit used in a magnetic recording / reproducing apparatus.

【0002】[0002]

【従来の技術】磁気ヘッドの移動方向とこれに垂直な方
向の両方向に磁化記録成分を有する磁気記録媒体から読
出された再生信号から磁化反転位置を検出する磁気再生
回路として、ヒルベルト変換フィルタと遅延素子を用い
た回路が、例えば特開昭62-231404号公報や、文献1
(B.J.Langland“Phase Equalization for Perpendicul
arRecording”IEEE Trans.on Magn.,MAG-18,pp1247〜12
49)等に示されている。
2. Description of the Related Art As a magnetic reproducing circuit for detecting a magnetization reversal position from a reproduction signal read from a magnetic recording medium having a magnetic recording component in both directions of movement of a magnetic head and a direction perpendicular thereto, a Hilbert transform filter and a delay are used. A circuit using an element is disclosed in, for example, JP-A-62-231404,
(BJ Langland “Phase Equalization for Perpendicul
arRecording ”IEEE Trans.on Magn., MAG-18, pp1247-12
49) etc.

【0003】図5は、従来のこの種再生回路の構成を
示すブロック線図で、図において、1は磁気ヘッド(図
示されていない)からの再生信号の入力端子、2はヒル
ベルト変換フィルタ、3は遅延素子、4は増幅係数tan
θの増幅器、5は減算器、6は増幅係数cosθの増幅
器、7は出力端子である。
[0003] Figure 5 is a block diagram showing a configuration of a reproducing circuit of this conventional type, reference numeral 1 denotes an input terminal of the reproduced signal from the magnetic head (not shown), 2 Hilbert transform filter, 3 is a delay element, 4 is an amplification coefficient tan
is an amplifier for θ, 5 is a subtractor, 6 is an amplifier for an amplification coefficient cos θ, and 7 is an output terminal.

【0004】次に動作について説明する。説明には、文
献2(Roberti.Potter“Analysis of Saturation Magne
tic Recording Based on Arctangent Magnetization Tr
ansitions”J.Apll.Phys.Volume 41.P1647〜1651(197
0))等に記載されているようにヘッド磁界としてカール
キストモデル、媒体の残留磁化として逆正接関数モデル
を用い相反定理より導出した再生波形モデルを用いる。
同モデルにおいて、磁気ヘッドの移動方向成分(以下長
手成分という)と垂直方向成分(以下垂直成分という)
の比としてパラメーターθを用いcosθ:sinθとする。
Next, the operation will be described. For the explanation, see Reference 2 (Roberti. Potter “Analysis of Saturation Magne
tic Recording Based on Arctangent Magnetization Tr
ansitions ”J.Apll.Phys.Volume 41.P1647〜1651 (197
0)), a reproducing waveform model derived from a reciprocity theorem using a Kahlkist model as a head magnetic field and an inverse tangent function model as a residual magnetization of a medium is used.
In the same model, the moving direction component of the magnetic head (hereinafter referred to as a longitudinal component) and the vertical direction component (hereinafter referred to as a vertical component)
The parameter θ is used as the ratio of cos θ: sin θ.

【0005】ここで、磁化反転幅をa、スペーシングを
d、ギャップ長をgとし距離xを変数とすると、入力端
子1に印加される再生信号e0(x)は式(1)で表わされ
る。 e0(x)=ex(x)・cosθ+ey(x)・sinθ (1) 即ち、式(1)で表わされる再生信号e0(x)は、次式(2)
で表わされる長手成分ex(x)と式(3)で表わされる垂直
成分ey(x)の和で表わされる。
Here, assuming that the width of magnetization reversal is a, the spacing is d, the gap length is g, and the distance x is a variable, the reproduced signal e 0 (x) applied to the input terminal 1 is expressed by the following equation (1). It is. e 0 (x) = e x (x) · cosθ + e y (x) · sinθ (1) i.e., regeneration of the formula (1) signal e 0 (x), the following equation (2)
In the longitudinal component e x (x) represented represented by the sum of the formula (3) vertical component e y represented by (x).

【0006】[0006]

【数1】 (Equation 1)

【0007】図6(a)は再生信号e0(x)の、同図(b)
はそれの長手成分ex(x)の、同図(c)は垂直成分e
y(x)の信号波形を示すタイムチャートである。図より
明らかなように長手成分ex(x)は左右対称、垂直成分
y(x)は点対称波形となり、それらの和である再生信
号e0(x)は非対称波形となる。ところで、長手成分ex
(x)と垂直成分ey(x)とは次の式(4)、式(5)で表わさ
れる関係にある。
FIG. 6A shows the reproduction signal e 0 (x), and FIG.
Is the longitudinal component e x (x), and FIG.
6 is a time chart showing a signal waveform of y (x). As is clear from the figure, the longitudinal component e x (x) has a left-right symmetry, the vertical component e y (x) has a point-symmetric waveform, and the reproduced signal e 0 (x) which is the sum of the waveforms has an asymmetric waveform. By the way, the longitudinal component e x
(x) and the vertical component e y (x) have a relationship represented by the following equations (4) and (5).

【0008】[0008]

【数2】 (Equation 2)

【0009】したがって、ヒルベルト変換により、式
(2)と式(3)の双方の変換が可能で、よって、再生信号e
0(x)のヒルベルト変換フィルタ2でヒルベルト変換さ
れた後の出力eh(x)は式(6)であらわされる。 eh(x)=−ex(x)・sinθ+ey(x)・cosθ (6)
Therefore, by the Hilbert transform, the equation
Conversion of both (2) and (3) is possible, and thus the reproduced signal e
The output e h (x) after the Hilbert transform by the Hilbert transform filter 2 of 0 (x) is expressed by Expression (6). e h (x) = - e x (x) · sinθ + e y (x) · cosθ (6)

【0010】この変換出力信号eh(x)を増幅器4で増
幅して信号tanθ・eh(x)を得、この信号を加減算器5
により、遅延素子3でヒルベルト変換フィルタ2と増幅
器4により生ずる遅延を補償した再生信号e0(x)から
差引いて増幅器6で増幅すれば、出力端子7には次式
(7)に示すように、 ec(x)={e0(x)−tanθ・eh(x)}cosθ=ex(x) (7) 図6(b)で示す左右対称波形の長手成分ex(x)に変換
された信号ecが得られ、磁化反転位置が検出できる。
The converted output signal e h (x) is amplified by the amplifier 4 to obtain a signal tan θ · e h (x).
By subtracting the reproduction signal e 0 (x) compensated for the delay caused by the Hilbert transform filter 2 and the amplifier 4 by the delay element 3 and amplifying it by the amplifier 6, the output terminal 7
As shown in (7), the e c (x) = {e 0 (x) -tanθ · e h (x)} cosθ = e x (x) (7) symmetrical waveform shown in FIG. 6 (b) The signal e c converted into the longitudinal component e x (x) is obtained, and the magnetization reversal position can be detected.

【0011】[0011]

【発明が解決しようとする課題】従来のヒルベルト変換
フィルタを用いた磁気再生回路は以上のように構成され
ているので、長手成分と垂直成分比に関するパラメータ
θが既知でないと所望の変換信号出力を得ることができ
ない。したがって、θを算出するための新たな演算回路
を付加する必要があり、回路が複雑になるなどの問題点
があった。また、あらかじめθの値が所定値内に入るよ
う製品仕様を定めたときには、媒体の磁気特性、装置の
記録再生条件等のばらつきを厳密に管理する必要がある
等の問題点が生じた。
Since the conventional magnetic reproducing circuit using the Hilbert transform filter is configured as described above, a desired converted signal output cannot be obtained unless the parameter θ relating to the ratio of the longitudinal component to the vertical component is known. I can't get it. Therefore, it is necessary to add a new arithmetic circuit for calculating θ, and there has been a problem that the circuit becomes complicated. Further, when the product specifications are determined in advance so that the value of θ falls within a predetermined value, there arises a problem that it is necessary to strictly manage variations in magnetic characteristics of the medium, recording and reproduction conditions of the apparatus, and the like.

【0012】この発明は上記のような問題点を解消する
ためになされたもので、成分比を算出しなくても、ま
た、成分比が、媒体の配向率、記録条件等によってばら
ついていても、磁化反転位置が検出できる磁気再生回路
を得ることを目的としている。
The present invention has been made in order to solve the above-mentioned problems, and does not require the calculation of the component ratio, and the component ratio varies depending on the orientation ratio of the medium, recording conditions, and the like. It is another object of the present invention to provide a magnetic reproducing circuit capable of detecting a magnetization reversal position.

【0013】[0013]

【課題を解決するための手段】この発明の第1の発明に
係る磁気再生回路は、磁気記録媒体より再生された信号
を共に入力するヒルベルト変換フィルタと遅延素子、こ
れらヒルベルト変換フィルタと遅延素子の両出力の一方
を除数、他方を除数として除算を行う除算器、この除
算器の出力を逆正接に変換する逆正接演算器、及びこの
逆正接演算器の出力を微分する微分演算器を備えたもの
である。
According to a first aspect of the present invention, there is provided a magnetic reproducing circuit comprising: a Hilbert transform filter and a delay element for inputting both signals reproduced from a magnetic recording medium; and a Hilbert transform filter and a delay element. divisor one of the two output divider and the other performs the division as the divisor includes arctangent calculator for converting an output of the divider to the arctangent, and a differential calculator for differentiating the output of the arctangent calculator It is a thing.

【0014】この発明の第2の発明に係る磁気再生回路
は、磁気記録媒体より再生された信号を共に入力するヒ
ルベルト変換フィルタと遅延素子、上記ヒルベルト変換
フィルタの出力を共に入力する第1の微分演算器と第1
の2乗演算器、上記遅延素子の出力を共に入力する第2
の微分演算器と第2の2乗演算器、上記ヒルベルト変換
フィルタと第2の微分演算器の両出力の乗算を行なう第
1の乗算器、上記遅延素子と第1の微分演算器の両出力
の乗算を行なう第2の乗算器、これら第1、第2の乗算
器の両出力の差を演算する減算器、上記第1、第2の2
乗演算器の両出力の和を演算する加算器、及び上記減算
器の出力を被除数、上記加算器の出力を除数として除算
を行う除算器を備えたものである。
According to a second aspect of the present invention, there is provided a magnetic reproducing circuit comprising a Hilbert transform filter and a delay element for inputting both signals reproduced from a magnetic recording medium, and a first differential for inputting both outputs of the Hilbert transform filter. Arithmetic unit and first
, And a second input that inputs the outputs of the delay elements together
, A second squarer, a first multiplier for multiplying both outputs of the Hilbert transform filter and the second differentiator, and both outputs of the delay element and the first differentiator Multiplier, a subtractor for calculating a difference between both outputs of the first and second multipliers, and a first and second 2
An adder for calculating the sum of both outputs of the multiplication operation unit, and a divider for performing division using the output of the subtractor as a dividend and the output of the adder as a divisor.

【0015】[0015]

【作用】この発明の第1の発明においては、垂直成分と
長手成分が重畳した再生信号をヒルベルト変換フィルタ
でヒルベルト変換した信号と、この変換による遅延を遅
延素子にて補償した再生信号とを除算器により除算演算
し、その除算値の逆正接値を逆正接演算器で求め、その
逆正接値の微分値を微分演算器で求めることにより、垂
直成分と長手成分の成分比に無関係に磁化反転位置を中
心とした対称信号波形が得られる。
According to the first aspect of the present invention, a signal obtained by Hilbert transforming a reproduced signal in which a vertical component and a longitudinal component are superimposed by a Hilbert transform filter is divided by a reproduced signal in which a delay caused by the conversion is compensated for by a delay element. Calculates the arc tangent of the divided value with the arc tangent calculator, and obtains the differential value of the arc tangent with the differential calculator, thereby irrespective of the component ratio between the vertical component and the longitudinal component. A symmetrical signal waveform centered on the position is obtained.

【0016】この発明の第2の発明においては、垂直成
分と長手成分が重畳した再生信号をヒルベルト変換フィ
ルタでヒルベルト変換した信号と、この変換による遅延
を遅延素子にて補償した再生信号を第2の微分演算器で
微分した信号とを第1の乗算器で乗算し、上記遅延素子
にて遅延した信号と上記ヒルベルト変換フィルタでヒル
ベルト変換した信号を第1の微分演算器で微分した信号
とを第2の乗算器で乗算し、これら第1、第2の乗算器
の出力信号の差を被除数、上記ヒルベルト変換フィルタ
でヒルベルト変換した信号を第1の2乗演算器で2乗し
た信号と、上記遅延素子にて遅延した信号を第1の2乗
演算器で2乗した信号との和を除数とした除算値を除算
器で求めることにより、垂直成分と長手成分の成分比に
無関係に磁化反転位置を中心とした対称信号波形が得ら
れる。
According to a second aspect of the present invention, a signal obtained by Hilbert transforming a reproduced signal in which a vertical component and a longitudinal component are superimposed by a Hilbert transform filter, and a reproduced signal in which a delay caused by this conversion is compensated for by a delay element, are obtained. Is multiplied by a first multiplier with a signal differentiated by a differential operation unit, and a signal obtained by differentiating a signal Hilbert-transformed by the Hilbert transform filter by a first differential operation unit with a signal delayed by the delay element A signal obtained by multiplying by a second multiplier, a difference between the output signals of the first and second multipliers, and a signal obtained by squaring a signal subjected to the Hilbert transform by the Hilbert transform filter by a first square calculator, and The division value obtained by dividing the sum of the signal delayed by the delay element and the signal squared by the first square calculator by a divisor is obtained by the divider, so that the magnetization is independent of the component ratio between the vertical component and the longitudinal component. Inversion Symmetrical waveform around the location is obtained.

【0017】[0017]

【実施例】【Example】

実施例1.以下、この発明の一実施例を図を用いて説明
する。図1はこの発明の第1の発明の一実施例の構成を
示すブロック線図で、図において、10は再生信号入力
端子、11は入力アナログ信号をデジタル信号に変換す
るA/D変換器、12はヒルベルト変換フィルタ、13
はこのヒルベルト変換フィルタ12と同じ遅延時間を有
する遅延素子、14はヒルベルト変換フィルタ12の出
力を被除数、遅延素子13を除数として除算処理を行な
う除算器、15は、予めROM等の記憶素子に書込まれ
た逆正接関数特性値を読出し、入力値の逆正接値を演算
して出力する逆正接演算器、16は入力値の微分値を演
算して出力する微分演算器、17は入力デジタル信号を
アナログ信号に変換するD/A変換器、18は出力端子
である。
Embodiment 1 FIG. An embodiment of the present invention will be described below with reference to the drawings. FIG. 1 is a block diagram showing the configuration of an embodiment of the first invention of the present invention. In the drawing, reference numeral 10 denotes a reproduction signal input terminal, 11 an A / D converter for converting an input analog signal into a digital signal, 12 is a Hilbert transform filter, 13
Is a delay element having the same delay time as the Hilbert transform filter 12, 14 is a divider for performing a division process using the output of the Hilbert transform filter 12 as a dividend and the delay element 13 as a divisor, and 15 is previously written in a storage element such as a ROM. An arc tangent calculator for reading out the inserted arc tangent function characteristic value, calculating and outputting the arc tangent value of the input value, 16 is a differential calculator for calculating and outputting a differential value of the input value, and 17 is an input digital signal. Is a D / A converter for converting the analog signal into an analog signal, and 18 is an output terminal.

【0018】次にその動作を、従来例と同様の再生波形
モデルを用いて説明する。式(1)を極座標変換すると、
次式(8)のようになる。
Next, the operation will be described using a reproduced waveform model similar to the conventional example. When Equation (1) is transformed into polar coordinates,
The following equation (8) is obtained.

【0019】[0019]

【数3】 (Equation 3)

【0020】ここで φ(x)=−ψ(x)+θ (9) ψ(x)=tan-1{ey(x)/ex(x)} (10) である。したがって、φ(x)の微分量Y(x)=dφ(x)
/dxをもとめると、
[0020] Here, φ (x) = - a ψ (x) + θ (9 ) ψ (x) = tan -1 {e y (x) / e x (x)} (10). Therefore, the differential amount of φ (x) Y (x) = dφ (x)
/ Dx

【0021】[0021]

【数4】 (Equation 4)

【0022】となる。ここで、 ex(−x)=ex(x)、 (12) ey(−x)=−ey(x) (13) なのでY(x)=dφ(x)/dxは偶関数となり、磁化反
転位置を中心とした対称関数になる。従って、再生信号
0(x)の垂直成分ey(x)と長手成分ex(x)の比の逆
正接の微分値を求めれば、θとは無関係に磁化反転位置
が求められる。ところで、式(14)より、
## EQU1 ## Here, e x (-x) = e x (x), (12) e y (-x) = - e y (x) (13) Since Y (x) = dφ (x ) / dx is even function And becomes a symmetric function centering on the magnetization reversal position. Therefore, by obtaining the differential value of the arctangent of the ratio of the vertical component e y (x) to the longitudinal component e x (x) of the reproduced signal e 0 (x), is independent of the magnetization reversal position is sought and theta. By the way, from equation (14),

【0023】[0023]

【数5】 (Equation 5)

【0024】と、再生信号e0(x)の垂直成分ey(x)と
長手成分ex(x)の比の逆正接の微分値は、再生信号e0
(x)のヒルベルト変換値eh(x)と再生信号e0(x)との
比の逆正接の微分値と等しくなる。
[0024] and, the differential value of the arctangent of the ratio of the vertical component e y (x) to the longitudinal component e x (x) of the reproduced signal e 0 (x), the reproduced signal e 0
It becomes equal to the derivative of the inverse tangent of the ratio between the Hilbert transform value e h (x) of (x) and the reproduced signal e 0 (x).

【0025】それで、図1において、入力端子10に入
力されたアナログ再生信号e0(x)はA/D変換器11
によりデジタル信号に変換され、その出力信号がヒルベ
ルト変換フィルタ12にてヒルベルト変換され、その出
力eh(x)が除算器14に被除数として印加される。一
方、デジタル変換された再生信号e0(x)は遅延素子1
3にてヒルベルト変換フィルタ12での演算時間の遅れ
が補正されて、除算器14に除数として印加される。除
算器14の演算出力eh(x)/e0(x)は逆正接演算器1
5に入力されてそれの逆正接値tan-1{eh(x)/e
0(x)}が求められ、さらに微分演算器16で微分されて
式(14)に示す再生信号e0(x)の垂直成分ey(x)と長手
成分ex(x)の比の逆正接の微分値Y(x)が得られる。
上述のようにこの値は磁化反転位置を中心とした対称関
数となるので、D/A変換器17にてアナログ信号に変
換して零点位置を検出すれば、θとは無関係に磁化反転
位置が求められる。
In FIG. 1, the analog reproduction signal e 0 (x) input to the input terminal 10 is supplied to the A / D converter 11
, And the output signal is Hilbert transformed by the Hilbert transform filter 12, and the output e h (x) is applied to the divider 14 as a dividend. On the other hand, the digitally converted reproduced signal e 0 (x) is
In 3, the delay of the operation time in the Hilbert transform filter 12 is corrected and applied to the divider 14 as a divisor. The operation output e h (x) / e 0 (x) of the divider 14 is the arctangent operation unit 1
5 and its arctangent value tan -1 {e h (x) / e
0 (x)}, and is differentiated by the differentiator 16 to obtain the ratio of the vertical component e y (x) to the longitudinal component e x (x) of the reproduced signal e 0 (x) shown in equation (14). An arctangent differential value Y (x) is obtained.
As described above, this value is a symmetric function centered on the magnetization reversal position. Therefore, if the D / A converter 17 converts the value into an analog signal and detects the zero point position, the magnetization reversal position becomes independent of θ. Desired.

【0026】上記実施例では、除算器14による除算
を、ヒルベルト変換フィルタ12の出力を被除数、遅延
素子13の出力を除数として行なうとしたが、これら除
数と被除数を入れ替えても式(11)の符号が逆になるだけ
で、同じく磁化反転位置を中心とした対称関数となり、
同様の効果が得られる。
In the above embodiment, the division by the divider 14 is performed by using the output of the Hilbert transform filter 12 as the dividend and the output of the delay element 13 as the divisor. However, even if the divisor and the dividend are exchanged, the equation (11) can be obtained. Just by reversing the sign, it becomes a symmetric function centering around the magnetization reversal position,
Similar effects can be obtained.

【0027】実施例2.図2はこの発明の第2の発明の
一実施例の構成を示すブロック線図で、図において、1
0は再生信号入力端子、11はA/D変換器、12はヒ
ルベルト変換フィルタ、13は遅延素子、17はD/A
変換器、18は出力端子で、以上は図1に示す実施例1
と同様のものである。19はヒルベルト変換フィルタ1
2からの入力値の微分値を演算して出力する第1の微分
演算器、20は遅延素子13からの入力値の微分値を演
算して出力する第2の微分演算器、21はヒルベルト変
換フィルタ12からの入力値と第2の微分演算器20か
らの入力値の乗算値を演算して出力する第1の乗算器、
22は遅延素子13からの入力値と第1の微分演算器1
9からの入力値の乗算値を演算して出力する第2の乗算
器、23は第1の乗算器21からの出力値と第2の乗算
器22からの出力値との差を演算して出力する減算器、
24はヒルベルト変換フィルタ12からの入力値の2乗
値を演算して出力する第1の2乗演算器、25は遅延素
子13からの入力値の2乗値を演算して出力する第2の
2乗演算器、26は第1、第2の2乗演算器24、25
の出力値を加算して出力する加算器、27は減算器23
からの出力値を被除数、加算器26からの出力値を除数
として除算値を演算して出力する除算器である。
Embodiment 2 FIG. FIG. 2 is a block diagram showing the configuration of an embodiment of the second invention of the present invention.
0 is a reproduction signal input terminal, 11 is an A / D converter, 12 is a Hilbert transform filter, 13 is a delay element, and 17 is D / A
A converter 18 is an output terminal, and the above is the first embodiment shown in FIG.
Is similar to 19 is a Hilbert transform filter 1
A first differential calculator for calculating and outputting the differential value of the input value from the second input device, 20 a second differential calculator for calculating and outputting the differential value of the input value from the delay element 13, and 21 a Hilbert transform A first multiplier that calculates and outputs a multiplication value of an input value from the filter 12 and an input value from the second differential calculator 20;
22 is an input value from the delay element 13 and the first differential calculator 1
A second multiplier 23 calculates and outputs a multiplied value of the input value from the input unit 9 and outputs a difference between the output value from the first multiplier 21 and the output value from the second multiplier 22. Output subtractor,
Reference numeral 24 denotes a first square calculator for calculating and outputting the square value of the input value from the Hilbert transform filter 12, and reference numeral 25 denotes a second square calculator for calculating and outputting the square value of the input value from the delay element 13. The square operator 26 is a first and second square operator 24, 25
Adder for adding and outputting the output values of
This is a divider that calculates and outputs a division value using the output value from the dividend as a dividend and the output value from the adder 26 as a divisor.

【0028】次にこの実施例の動作を説明する。上述の
実施例1では、φ(x)の微分量Y(x)を再生信号e0(x)
のヒルベルト変換値eh(x)と再生信号e0(x)との比の
逆正接の微分値から求めたが、式(11)の最後の項におけ
る分子、ey(x)・ex'(x)−ex(x)・ey'(x)を被除
数、分母、ex 2(x)+ey 2(x)を除数とした除算値を求
めれば、実施例1と同様にθとは無関係に磁化反転位置
が求められる。ところで、式(11)及び式(14)から次式(1
5)が得られる。
Next, the operation of this embodiment will be described. In the first embodiment described above, the differential amount Y (x) of φ (x) is converted to the reproduction signal e 0 (x).
Of was calculated from the differential value of the arctangent of the ratio of the Hilbert transform value e h (x) and the reproduced signal e 0 (x), the molecules in the last term in equation (11), e y (x ) · e x the '(x) -e x (x ) · e y' (x) the dividend, the denominator, by obtaining a quotient which is a e x 2 (x) + e y 2 by the divisor (x), in the same manner as in example 1 The magnetization reversal position is obtained irrespective of θ. By the way, from the equations (11) and (14), the following equation (1
5) is obtained.

【0029】[0029]

【数6】 (Equation 6)

【0030】従って、eh(x)・e0'(x)−e0(x)・eh'
(x)を被除数、e0 2(x)+eh 2(x)を除数とした除算値
を求めればよいことになる。
Therefore, e h (x) · e 0 ′ (x) −e 0 (x) · e h
It suffices to find a division value with (x) being the dividend and e 0 2 (x) + e h 2 (x) being the divisor.

【0031】それで、図2において、入力端子10に入
力されたアナログ再生信号e0(x)はA/D変換器11
によりデジタル信号に変換され、その出力信号がヒルベ
ルト変換フィルタ12にてヒルベルト変換され、その出
力eh(x)が第1の微分演算器19と第1の2乗演算器
24に印加される。一方、デジタル変換された再生信号
0(x)は遅延素子13にてヒルベルト変換フィルタ1
2での演算時間の遅れが補正されて、第2の微分演算器
20と第2の2乗演算器25に印加される。そして、第
2の微分演算器20により演算された再生信号e0(x)
の微分値e0'(x)とヒルベルト変換信号eh(x)が第1
の乗算器21に入力されてそれらの乗算値eh(x)・e0'
(x)が求められ、第1の微分演算器19により演算され
たヒルベルト変換信号eh(x)の微分値eh'(x)と遅延
再生信号e0(x)が第2の乗算器22に入力されてそれ
らの乗算値e0(x)・e'h(x)が求められ、これら第1、
第2の乗算器21、22の出力乗算値の差が減算器23
により求められる。また、第1の2乗演算器24により
演算されたヒルベルト変換信号eh(x)の2乗値e
h 2(x)と、第2の2乗演算器25により演算された再生
信号e0(x)の2乗値e0 2(x)の和が加算器26により
求められる。それから、減算器23からの出力減算値を
被除数、加算器26からの出力加算値を除数としての除
算が除算器27で行なわれ、式(15)に示すY(x)が得ら
れる。この出力信号がD/A変換器17にてアナログ信
号に変換され、その信号の零点位置が検出されて、θと
は無関係に磁化反転位置が求められる。
In FIG. 2, the analog reproduction signal e 0 (x) input to the input terminal 10 is
, And the output signal is Hilbert-transformed by the Hilbert transform filter 12, and the output e h (x) is applied to the first differential calculator 19 and the first square calculator 24. On the other hand, the digitally converted reproduced signal e 0 (x) is converted by the delay element 13 into the Hilbert transform filter 1.
The delay of the calculation time at 2 is corrected and applied to the second differential calculator 20 and the second square calculator 25. Then, the reproduced signal e 0 (x) calculated by the second differential calculator 20
Is the first derivative e 0 ′ (x) and the Hilbert transform signal e h (x)
And the multiplied values e h (x) · e 0
(x) is obtained, and the differential value e h ′ (x) of the Hilbert transform signal e h (x) calculated by the first differential calculator 19 and the delayed reproduction signal e 0 (x) are converted into the second multiplier 22 and their multiplied values e 0 (x) · e ′ h (x) are obtained.
The difference between the output multiplied values of the second multipliers 21 and 22 is
Required by Further, the square value e of the Hilbert transform signal e h (x) calculated by the first square calculator 24
The sum of h 2 (x) and the square value e 0 2 (x) of the reproduced signal e 0 (x) calculated by the second square calculator 25 is obtained by the adder 26. Then, division is performed by the divider 27 using the output subtraction value from the subtractor 23 as a dividend and the output addition value from the adder 26 as a divisor, and Y (x) shown in Expression (15) is obtained. This output signal is converted into an analog signal by the D / A converter 17, the zero point position of the signal is detected, and the magnetization reversal position is obtained regardless of θ.

【0032】上記実施例1及び実施例2におけるヒルベ
ルト変換フィルタ12でのデジタル量の演算では、式(1
6)に示す近似式が用いられるが、
In the calculation of the digital quantity by the Hilbert transform filter 12 in the first and second embodiments, the equation (1)
The approximate expression shown in 6) is used,

【0033】[0033]

【数7】 (Equation 7)

【0034】実際には負の遅延素子はありえないので、
式(17)に示すようにさらにmT遅延させた演算が行われ
る。
In practice, there can be no negative delay element,
As shown in Expression (17), the operation is further delayed by mT.

【0035】[0035]

【数8】 (Equation 8)

【0036】図3はこの式(17)に基いてヒルベルト変換
を行なうヒルベルト変換フィルタ12の具体的一例を示
す回路図で、入力端子30、遅延量が(m−2)T、
(m−1)T、(m+1)T、(m+2)T〜2mTの
複数の遅延素子31、32、33、34、35、増幅係
数が1/mπ〜1/2π、1/π、1/π、1/2π〜
1/2mπの複数の演算増幅器40、41、42、4
3、44、45、加算器46、47、加減算器48及び
出力端子49から構成される。
FIG. 3 is a circuit diagram showing a specific example of the Hilbert transform filter 12 for performing the Hilbert transform based on the equation (17). The input terminal 30, the delay amount is (m-2) T,
A plurality of delay elements 31, 32, 33, 34, 35 of (m-1) T, (m + 1) T, (m + 2) T to 2mT, and amplification coefficients of 1 / mπ to 1 / 2π, 1 / π, 1 / π, 1 / 2π ~
A plurality of operational amplifiers 40, 41, 42, 4 of 1 / 2mπ
3, 44, 45, adders 46 and 47, an adder / subtractor 48, and an output terminal 49.

【0037】図4は微分演算器16、19及び20の具
体的一例を示す回路図で、入力端子50、遅延素子5
1、加減算器52及び出力端子53から構成される。
FIG. 4 is a circuit diagram showing a specific example of the differential calculators 16, 19 and 20.
1, an adder / subtracter 52 and an output terminal 53.

【0038】上記各実施例ではデジタル回路で諸演算を
行なう例を示したが、必しも再生信号をデジタル変換し
て演算する必要はなくアナログ量で演算するようにして
もよい。なお、ノイズ等を削減するためのフィルタ等に
ついては記載しなかったが必要に応じて挿入することも
可能である。
In each of the above embodiments, various operations are performed by a digital circuit. However, it is not always necessary to convert the reproduced signal into a digital signal, and the reproduced signal may be calculated by an analog amount. Although a filter for reducing noise and the like is not described, it is possible to insert a filter if necessary.

【0039】[0039]

【発明の効果】以上のようにこの発明の第1の発明によ
れば、磁気記録媒体より再生された信号を共に入力する
ヒルベルト変換フィルタと遅延素子、これらヒルベルト
変換フィルタと遅延素子の両出力の一方を除数、他方を
除数として除算を行う除算器、この除算器の出力を逆
正接に変換する逆正接演算器、及びこの逆正接演算器の
出力を微分する微分演算器を備えたので、磁気記録媒体
より再生された再生信号が垂直成分と長手成分が重畳し
た非対称波形であっても、その成分比率をもとめなくて
も、また例えその成分比率が媒体の配向率、記録条件等
によってばらついても正しく磁化反転位置が検出できる
出力信号が得られ、上記成分比率を演算するための回路
や、この成分比率を所定値に維持するための手段を必要
とせず、安価な磁気再生回路が得られるという効果があ
る。
As described above, according to the first aspect of the present invention, the Hilbert transform filter and the delay element for inputting together the signal reproduced from the magnetic recording medium, and the outputs of both the Hilbert transform filter and the delay element are provided. Divide one, the other
Divider for performing division as the divisor, the arctangent calculator for converting an output of the divider to the arctangent, and since having a differential calculator for differentiating the output of the arctangent calculator are reproduced from the magnetic recording medium Even if the reproduced signal is an asymmetrical waveform in which the vertical component and the longitudinal component are superimposed, the magnetization reversal position can be correctly determined even if the component ratio is not determined, even if the component ratio varies depending on the orientation ratio of the medium, recording conditions, etc. Thus, an output signal which can be detected can be obtained, and there is an effect that an inexpensive magnetic reproducing circuit can be obtained without requiring a circuit for calculating the component ratio or a means for maintaining the component ratio at a predetermined value.

【0040】また、この発明の第2の発明によれば、磁
気記録媒体より再生された信号を共に入力するヒルベル
ト変換フィルタと遅延素子、上記ヒルベルト変換フィル
タの出力を共に入力する第1の微分演算器と第1の2乗
演算器、上記遅延素子の出力を共に入力する第2の微分
演算器と第2の2乗演算器、上記ヒルベルト変換フィル
タと第2の微分演算器の両出力の乗算を行なう第1の乗
算器、上記遅延素子と第1の微分演算器の両出力の乗算
を行なう第2の乗算器、これら第1、第2の乗算器の両
出力の差を演算する減算器、上記第1、第2の2乗演算
器の両出力の和を演算する加算器、及び上記減算器の出
力を被除数、上記加算器の出力を除数として除算を行う
除算器を備えたので、上記第1の発明と同様の効果を奏
するとともに、この第1の発明に比べ、予めROM等の
記憶素子に書込ませた逆正接関数特性値を読出して行な
う複雑な逆正接演算を行なう必要がないという効果があ
る。
According to the second aspect of the present invention, a Hilbert transform filter and a delay element for inputting both signals reproduced from a magnetic recording medium and a first differential operation for inputting both outputs of the Hilbert transform filter are provided. Multiplier, a first square arithmetic unit, a second differential arithmetic unit and a second square arithmetic unit for inputting both outputs of the delay element, and a multiplication of both outputs of the Hilbert transform filter and the second differential arithmetic unit Multiplier, a second multiplier for multiplying both outputs of the delay element and the first differential operation unit, and a subtractor for calculating a difference between both outputs of the first and second multipliers , An adder that calculates the sum of the outputs of the first and second square calculators, and a divider that performs the division using the output of the subtractor as a dividend and the output of the adder as a divisor. In addition to providing the same effects as the first aspect, Compared to the first invention, there is an effect that it is not necessary to perform complicated arctangent calculation performed by reading the pre-inverse tangent function characteristic values were written to the storage device such as a ROM.

【図面の簡単な説明】[Brief description of the drawings]

【図1】この発明の第1の発明の一実施例の構成を示す
ブロック線図。
FIG. 1 is a block diagram showing a configuration of an embodiment of the first invention of the present invention.

【図2】この発明の第2の発明の一実施例の構成を示す
ブロック線図。
FIG. 2 is a block diagram showing a configuration of an embodiment of the second invention of the present invention.

【図3】これらの実施例におけるヒルベルト変換フィル
タの具体的一例を示す回路図。
FIG. 3 is a circuit diagram showing a specific example of a Hilbert transform filter in these embodiments.

【図4】これらの実施例における微分演算器の具体的一
例を示す回路図。
FIG. 4 is a circuit diagram showing a specific example of a differential calculator in these embodiments.

【図5】従来の再生回路の構成を示すブロック線図。FIG. 5 is a block diagram showing a configuration of a conventional reproducing circuit.

【図6】再生信号、それの長手成分及び垂直成分の信号
波形を示すタイムチャート。
FIG. 6 is a time chart showing a reproduction signal and signal waveforms of a longitudinal component and a vertical component thereof.

【符号の説明】[Explanation of symbols]

12 ヒルベルト変換フィルタ 13 遅延素子 14 除算器 15 逆正接演算器 16 微分演算器 19 第1の微分演算器 20 第2の微分演算器 21 第1の乗算器 22 第2の乗算器 23 減算器 24 第1の2乗演算器 25 第2の2乗演算器 26 加算器 27 除算器 Reference Signs List 12 Hilbert transform filter 13 Delay element 14 Divider 15 Arc tangent calculator 16 Differential calculator 19 First differential calculator 20 Second differential calculator 21 First multiplier 22 Second multiplier 23 Subtractor 24 First 1 square operator 25 second square operator 26 adder 27 divider

Claims (2)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】 磁気記録媒体より再生された信号を共に
入力するヒルベルト変換フィルタと遅延素子、これらヒ
ルベルト変換フィルタと遅延素子の両出力の一方を被除
数、他方を除数として除算を行う除算器、この除算器の
出力を逆正接に変換する逆正接演算器、及びこの逆正接
演算器の出力を微分する微分演算器を備えたことを特徴
とする磁気再生回路。
1. A Hilbert transform filter and a delay element for inputting both signals reproduced from a magnetic recording medium, a divider for dividing one of the outputs of the Hilbert transform filter and the delay element as a dividend and the other as a divisor, A magnetic reproducing circuit comprising: an arctangent calculator for converting an output of a divider into an arctangent; and a differential calculator for differentiating an output of the arctangent.
【請求項2】 磁気記録媒体より再生された信号を共に
入力するヒルベルト変換フィルタと遅延素子、上記ヒル
ベルト変換フィルタの出力を共に入力する第1の微分演
算器と第1の2乗演算器、上記遅延素子の出力を共に入
力する第2の微分演算器と第2の2乗演算器、上記ヒル
ベルト変換フィルタと第2の微分演算器の両出力の乗算
を行なう第1の乗算器、上記遅延素子と第1の微分演算
器の両出力の乗算を行なう第2の乗算器、これら第1、
第2の乗算器の両出力の差を演算する減算器、上記第
1、第2の2乗演算器の両出力の和を演算する加算器、
及び上記減算器の出力を被除数、上記加算器の出力を除
数として除算を行う除算器を備えたことを特徴とする磁
気再生回路。
2. A Hilbert transform filter and a delay element for inputting both signals reproduced from a magnetic recording medium, a first differential calculator and a first square calculator for inputting both outputs of the Hilbert transform filter, A second differential operation unit and a second square operation unit for inputting both outputs of the delay element, a first multiplier for multiplying both outputs of the Hilbert transform filter and the second differential operation unit, and the delay element And a second multiplier for multiplying both outputs of the first differential operation unit,
A subtractor for calculating a difference between both outputs of the second multiplier, an adder for calculating a sum of both outputs of the first and second square calculators,
And a divider for performing a division using the output of the subtractor as a dividend and the output of the adder as a divisor.
JP28027591A 1991-02-22 1991-10-02 Magnetic reproduction circuit Expired - Lifetime JP2778312B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP28027591A JP2778312B2 (en) 1991-02-22 1991-10-02 Magnetic reproduction circuit

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
JP4866291 1991-02-22
JP3-48662 1991-02-22
JP28027591A JP2778312B2 (en) 1991-02-22 1991-10-02 Magnetic reproduction circuit

Publications (2)

Publication Number Publication Date
JPH052709A JPH052709A (en) 1993-01-08
JP2778312B2 true JP2778312B2 (en) 1998-07-23

Family

ID=26388964

Family Applications (1)

Application Number Title Priority Date Filing Date
JP28027591A Expired - Lifetime JP2778312B2 (en) 1991-02-22 1991-10-02 Magnetic reproduction circuit

Country Status (1)

Country Link
JP (1) JP2778312B2 (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6712966B1 (en) 1999-02-04 2004-03-30 Cuno Incorporated Graded particle-size retention filter medium for cell-type filter unit
US6939466B2 (en) 1998-08-17 2005-09-06 Cuno Incorporated Graded particle-size retention filter medium for fluid filtration unit with improved edge seal
US7965461B2 (en) 2005-11-30 2011-06-21 Samsung Electronics Co., Ltd. Information reproducing apparatus

Also Published As

Publication number Publication date
JPH052709A (en) 1993-01-08

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