EP1543439A1 - Reconstruction de signaux d'origine de mesures relatives - Google Patents

Reconstruction de signaux d'origine de mesures relatives

Info

Publication number
EP1543439A1
EP1543439A1 EP03798108A EP03798108A EP1543439A1 EP 1543439 A1 EP1543439 A1 EP 1543439A1 EP 03798108 A EP03798108 A EP 03798108A EP 03798108 A EP03798108 A EP 03798108A EP 1543439 A1 EP1543439 A1 EP 1543439A1
Authority
EP
European Patent Office
Prior art keywords
reconstruction
unit circle
relative measurements
signals
original signals
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.)
Ceased
Application number
EP03798108A
Other languages
German (de)
English (en)
Inventor
Klaus-Ulrich Wolter
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
DB Netz AG
Original Assignee
DB Netz AG
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by DB Netz AG filed Critical DB Netz AG
Publication of EP1543439A1 publication Critical patent/EP1543439A1/fr
Ceased legal-status Critical Current

Links

Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B61—RAILWAYS
    • B61K—AUXILIARY EQUIPMENT SPECIALLY ADAPTED FOR RAILWAYS, NOT OTHERWISE PROVIDED FOR
    • B61K9/00—Railway vehicle profile gauges; Detecting or indicating overheating of components; Apparatus on locomotives or cars to indicate bad track sections; General design of track recording vehicles
    • B61K9/08—Measuring installations for surveying permanent way
    • E—FIXED CONSTRUCTIONS
    • E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01B—PERMANENT WAY; PERMANENT-WAY TOOLS; MACHINES FOR MAKING RAILWAYS OF ALL KINDS
    • E01B35/00—Applications of measuring apparatus or devices for track-building purposes
    • E01B35/12—Applications of measuring apparatus or devices for track-building purposes for measuring movement of the track or of the components thereof under rolling loads, e.g. depression of sleepers, increase of gauge
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/0211—Frequency selective networks using specific transformation algorithms, e.g. WALSH functions, Fermat transforms, Mersenne transforms, polynomial transforms, Hilbert transforms
    • H03H17/0213—Frequency domain filters using Fourier transforms
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/04—Recursive filters

Definitions

  • the invention relates to a method for the reconstruction of original signals from relative measurements.
  • the output measuring signal is generally not identical with the size to be measured. In many applications, however, this systematic error caused by the measuring system cannot be tolerated.
  • This error can be compensated for when the dynamic behavior and / or the design of the measuring system is known, so that the measuring signal leveled out by the measuring system corresponds exactly to the size to be measured.
  • this is only possible with a certain class of measuring systems.
  • Patent specification DE 44 29 517 describes a method for calculating an inverse transfer function or for correcting measurement signals.
  • a measurement signal recorded by a measurement system is corrected by adding a high-frequency component of the measurement signal, which is determined by an approximate deconvolution, to a solution of a differential equation of the low-frequency component of the measurement signal, the integration constants of which are determined by the boundary conditions given by the measurement technology or by the true signal curve are.
  • this method is mathematically complex and does not represent a target-oriented solution for all tasks. Furthermore, it is an approximation method in which the original measurement signal is only approximately / approximately reconstructed.
  • the compensation filter is easy to implement. - Only simple numerics (few multiplications and additions) are used and the method is therefore also suitable for real-time applications.
  • Claims 2 to 6 indicate advantageous application examples of the method according to the invention.
  • the method of claim 1 is used for the reconstruction of signals according to a chord measurement method.
  • a symmetrical chord division is used in the chord measuring method. This results in a symmetrical impulse response.
  • the symmetrical impulse response has a linear phase response and therefore a constant group delay. From the knowledge of the phase response or the group delay, the phase distortion of the measuring system is advantageously also exactly compensated.
  • the method of claim 1 and / or 2 is used for the reconstruction of track position signals.
  • FIG. 1 shows a basic circuit diagram with an original signal g (x), which is detected by a measuring system with an impulse response h (x) and is output as a measuring signal m (x),
  • FIG. 3 shows an impulse response h d (z) of the measuring system of the exemplary embodiment in the locally discrete system
  • FIG. 4 shows a transfer function H d (z) of the measuring system of the exemplary embodiment in the locally discrete system
  • FIG. 7 poles and zeros of the minimal-phase transfer function Hdmin (z) of the exemplary embodiment in the complex plane
  • FIG. 8 poles and zeros of the all-pass transfer function H ap (z) of the exemplary embodiment in the complex plane
  • FIG. 12 shows an inverse transfer function H 0 (z) of the compensation filter of the exemplary embodiment in the discrete-location system
  • FIG. 13 shows a canonical implementation of a transfer function using a digital filter according to equation (2.29).
  • a track measuring multiple unit from Deutsche Bahn AG is considered, which uses the measuring method of the walking tendon measuring method. It describes how distortion of the amplitude of the measurement signal of the GMTZ is exactly compensated for.
  • the measuring system of the GMTZ does not reproduce the exact physical track positions or the track position deviations. This distortion is due to a systematic error caused by the measurement method. It is imperative to exactly compensate for this systematic error in order to maintain the track position and, in particular, to assess the deviations from the track position using true-to-shape track position signals.
  • the measuring system of the GMTZ can be described as a linear time invariant system (LTI system).
  • the track position g (x) is the input variable for the LTI system.
  • the LTI system is completely described by the impulse response h (x) or transfer function ( ⁇ ).
  • H (jw) is the Fourier transform of the impulse response h (x).
  • the impulse responses h (x) and the transfer functions H (j ⁇ ) are unambiguously given due to the geometry of the hiking vision measurement method. It must be taken into account that different impulse responses and transfer functions exist for the measurement of the longitudinal height and direction deviations. Furthermore, the measurement direction - direction of travel of the GMTZ must also be taken into account. This results in a total of four different impulse responses or transfer functions for the measurement of the longitudinal height and direction deviations.
  • the parameters a and b denote the tendon divisions.
  • the z-transformation is used for the calculation of the inverse transfer function, so that the continuous transfer functions are already represented here as discrete-location functions.
  • the measurement signal m [n] results from the spatially discrete folding of the track position g [n] with the impulse response h d [n], see Fig. 2:
  • the discrete impulse response h d [n] can also be represented in the frequency domain by the discrete Fourier transform (DFT).
  • DFT discrete Fourier transform
  • chord divisions in this example are 2.6 m and 6 m, the sampling rate was set to 0.2 m:
  • the task to be solved is to design a compensation filter h c [n] - additional LTI system - which compensates for the transmission behavior of the GMTZ.
  • 5 shows the overall system including the compensation filter with the designations: g * [n] g [n] (2.12)
  • H d (z) can be determined directly from h d [n]:
  • Equation (2.17) can also be used in the form
  • H d (z) The poles of H d (z) are the zeros of ⁇ (z) - So that the LTI system H d (z) is causal and stable, all poles of H d (z) must be inside the unit circle in the complex z- Level
  • H d (z) is called minimal phase.
  • H d (z) the poles and zeros of H d (z) are drawn in according to equation (2.18) in the complex z plane. Since zeros of H d (z) lie outside the unit circle, this system is not a minimum phase. Since H d (z) is not a minimum phase, H c (z) cannot be calculated according to equation (2.19).
  • H d (z) To calculate H c (z), H d (z) must be divided into two system functions.
  • H d (z) H dn ⁇ n (z) - H ap (z) (2.20)
  • H dmin (z) and H d (z) have the same amplitude distortion, but the same amplitude response but a different phase response
  • the numerator polynomial Z '(z) for H dmin (z) results from the zeros within the unit circle and the mirrored zeros. All poles and zeros of H dmin (z) are inside the unit circle.
  • H dm i n (z) is minimal phase.
  • H ap (z) consists of all zeros of H d (z) which lie outside the unit circle together with the poles which cancel the mirrored conjugate reciprocal zeros of H dm i n (z).
  • H dm j n (z) and H ap (z) are shown in FIGS. 7 and 8.
  • H dm is minimal in (z)
  • H c (z) can be calculated according to equation (2.19)
  • 11 and 12 show the poles and the zeros as well as the transfer functions of ⁇ o (j ⁇ ).
  • the amplitude response of H d (z) is exactly compensated for.
  • the phase response of the entire system is equal to the phase response of H ap (z).
  • the implementation with a canonical basic structure lends itself.
  • the advantage is that the filter coefficients a and b can be read directly from the system function. If necessary, a linear factor must be taken into account.
  • the transmission behavior of the compensation filter H c (z) can be represented in accordance with equation (2.29).
  • the filter coefficients a and b can thus also be read off directly for H c (z).
  • the mechanical structure of a measuring system is considered using the wandering tendon method.
  • This measuring system has a free chord length and a free chord division.
  • the impulse response h (x) or transfer function H (j ⁇ ) or system function H (z) of the measuring system becomes so by a suitable choice of the chord length and the chord division optimizes that there is a minimal compensation filter H c (z). With this compensation filter, all zeros of H (z) are at a large distance from the unit circle or are already close to the center of the unit circle without reflection within the unit circle.

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Civil Engineering (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Architecture (AREA)
  • Mathematical Analysis (AREA)
  • Structural Engineering (AREA)
  • Pure & Applied Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Mechanical Engineering (AREA)
  • Position Fixing By Use Of Radio Waves (AREA)
  • Transmission And Conversion Of Sensor Element Output (AREA)
  • Materials For Photolithography (AREA)

Abstract

L'invention concerne un procédé de reconstruction de signaux d'origine de mesures relatives. Selon ce procédé, la distorsion d'amplitude d'un système de mesure est compensée avec précision par un filtre de compensation, lequel filtre de compensation est défini univoquement par ce système. La fonction décrite du système de mesure est à déphasage minimal et il est possible de l'inverser en réfléchissant sur le cercle unitaire tous ses zéros se trouvant à l'extérieur du cercle unitaire, de façon à ce qu'ils rentrent dans ce cercle unitaire. La reconstruction de mesures effectuées selon un procédé Wandersehnen et la reconstruction de mesures de l'assiette de la voie en trafic ferroviaire sont des exemples de réalisation avantageux.
EP03798108A 2002-09-24 2003-08-19 Reconstruction de signaux d'origine de mesures relatives Ceased EP1543439A1 (fr)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
DE10244357 2002-09-24
DE10244357 2002-09-24
PCT/EP2003/009161 WO2004029825A1 (fr) 2002-09-24 2003-08-19 Reconstruction de signaux d'origine de mesures relatives

Publications (1)

Publication Number Publication Date
EP1543439A1 true EP1543439A1 (fr) 2005-06-22

Family

ID=31969489

Family Applications (1)

Application Number Title Priority Date Filing Date
EP03798108A Ceased EP1543439A1 (fr) 2002-09-24 2003-08-19 Reconstruction de signaux d'origine de mesures relatives

Country Status (4)

Country Link
EP (1) EP1543439A1 (fr)
AU (1) AU2003258632A1 (fr)
DE (1) DE10337976B4 (fr)
WO (1) WO2004029825A1 (fr)

Families Citing this family (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE102009031819B4 (de) * 2009-07-03 2016-05-04 Deutsche Bahn Ag Verfahren zur Ermittlung von kurzwelliger Gleislagegeometrie und der Schieneneinsenkungen unter Last
DE102011101226A1 (de) 2011-05-11 2012-11-15 Deutsche Bahn Ag Verfahren zur Beschreibung von Gleislageabweichungen
FR3005321B1 (fr) * 2013-05-05 2015-10-02 Leyfa Measurement Dispositif de mesure de la geometrie d'une voie ferree et procede d'estimation des profils de nivellement et de dressage de ladite voie ferree
EP2957674B1 (fr) 2014-06-18 2017-10-11 HP3 Real GmbH Procédé de réglage de voie ferrée destiné au fonctionnement d'une machine de voie pouvant se déplacer sur une installation de voie ferrée
EP2960371B1 (fr) 2014-06-27 2017-08-09 HP3 Real GmbH Dispositif de mesure de voies ferrées
CN104501755A (zh) * 2014-12-30 2015-04-08 苏州路云机电设备有限公司 一种便携式尖轨心轨测量仪
CN106553086B (zh) * 2016-10-27 2018-06-08 大连理工大学 快速高精度的复杂曲面制孔点法矢量测量方法
AT520795B1 (de) 2017-12-21 2020-03-15 Plasser & Theurer Export Von Bahnbaumaschinen Gmbh Gleisbaumaschine und Verfahren zum Nivellieren eines Gleises
AT520894B1 (de) 2018-01-22 2021-01-15 Hp3 Real Gmbh Verfahren zur Gleislageverbesserung durch eine gleisfahrbare Gleisstopfmaschine
AT523717B1 (de) 2020-06-18 2021-11-15 Hp3 Real Gmbh Verfahren zum Vermessen einer Gleislage
AT523627B1 (de) * 2020-09-16 2021-10-15 Plasser & Theurer Export Von Bahnbaumaschinen Gmbh Verfahren und System zur Ermittlung eines Soll-Gleisverlaufs für eine Lagekorrektur
AT524435B1 (de) 2020-11-25 2022-06-15 Plasser & Theurer Export Von Bahnbaumaschinen Gmbh Verfahren und System zur Ermittlung von Korrekturwerten für eine Lagekorrektur eines Gleises

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE4429517C2 (de) * 1994-08-19 1996-08-14 Man Technologie Gmbh Vorrichtung und Verfahren zur Korrektur einer Meßkurve oder eines Signalverlaufs und deren bzw. dessen Anwendung zur Rekonstruktion von Lagefehlern bei Bahngleisen aus geometrischen Relativmessungen

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
See references of WO2004029825A1 *

Also Published As

Publication number Publication date
AU2003258632A1 (en) 2004-04-19
DE10337976B4 (de) 2007-12-27
WO2004029825A1 (fr) 2004-04-08
DE10337976A1 (de) 2004-04-01

Similar Documents

Publication Publication Date Title
EP2696924B1 (fr) Dispositif et procédé de traitement de données de signaux physiologiques
WO2004029825A1 (fr) Reconstruction de signaux d'origine de mesures relatives
DE68922139T2 (de) Symmetrische Integratorfilterschaltungen.
DE102012214351B4 (de) Angiographisches Untersuchungsverfahren eines Gefäßsystems
DE69627755T2 (de) Verfahren und Vorrichtung zur temporären Rauschfilterung einer Bildfolge
EP0574465B1 (fr) Agencement pour l'extraction par filtrage d'oscillations de la ligne de base dans des signaux de mesure physiologiques
DE2436966C3 (de) Bandfilter
DE102012216652A1 (de) Angiographisches Untersuchungsverfahren
DE1762157B2 (de) Vorrichtung zum umsetzen von analogen signalen, die einer monoton zunehmenden funktion entsprechen, in digitale werte
DE60202225T2 (de) Verfahren zur Abschätzung von gestreuter Strahlung, insbesondere zur Korrektur von Röntgenaufnahmen
DE102013105648B3 (de) Verfahren zur Ermittlung einer sich ändernden räumlichen Verteilung von Partikeln zu mehreren Zeitpunkten
DE928967C (de) Leiternetzwerk mit einer innerhalb des Durchlassbereichs geebneten Betriebsdaempfungskurve
DE4429517C2 (de) Vorrichtung und Verfahren zur Korrektur einer Meßkurve oder eines Signalverlaufs und deren bzw. dessen Anwendung zur Rekonstruktion von Lagefehlern bei Bahngleisen aus geometrischen Relativmessungen
DE69401727T2 (de) Vorrichtung zur Beseitigung von Nachschwingungen in gefilterten EKG-Signalen
DE102008048716B4 (de) Verfahren zur Aufhärtungskorrektur
DE102024201524B4 (de) Verfahren und Vorrichtung zur Berechnung einer Masse auf einem Patiententisch, Patiententischsystem und medizinisches System
EP0557322B1 (fr) Systeme semi-actif de regulation de chassis
DE4327275C2 (de) Verfahren zur digitalen Verarbeitung von schmalbandigen Signalen mit variabler Mittenfrequenz
DE452495C (de) Kettenleiter
DE2806921C2 (de) Filterschaltung mit einer Übertragungsfunktion dritten Grades
DE102009016013B4 (de) Verfahren zur Aufhärtungskorrektur
WO1999051941A1 (fr) Procede de calcul de la moyenne
DE681530C (de) Kristallfilter mit regelbarer Bandbreite, insbesondere fuer Superhetempfaenger
DE3611759A1 (de) Digitales filter, das als zweidimensionales wellendigitalfilter ausgebildet ist
DE2052842C3 (de) Schmalbandige schnelleinschwingende Filteranordnung

Legal Events

Date Code Title Description
PUAI Public reference made under article 153(3) epc to a published international application that has entered the european phase

Free format text: ORIGINAL CODE: 0009012

17P Request for examination filed

Effective date: 20050324

AK Designated contracting states

Kind code of ref document: A1

Designated state(s): AT BE BG CH CY CZ DE DK EE ES FI FR GB GR HU IE IT LI LU MC NL PT RO SE SI SK TR

AX Request for extension of the european patent

Extension state: AL LT LV MK

DAX Request for extension of the european patent (deleted)
STAA Information on the status of an ep patent application or granted ep patent

Free format text: STATUS: THE APPLICATION HAS BEEN REFUSED

18R Application refused

Effective date: 20080328