A period measuring proton magnetometer with a direct readout

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<ul><li><p>A Per iod Measur ing Pro ton Magnetometer w i th a D i rec t Readout </p><p>Giinter Schulz and Uwe Cars tens UDC 550.380.8 </p><p>Summary A period measuring proton magnetometer (PLUM) with a programmable digital </p><p>computer connected to it is described. The computer converts the time-propor- tional measured value into a frequency-proportional, and thus field-proportional, readout. Further operations like the calculation of mean values are also applied to the measured result on line via the computer. In addition, a printer protocol is supplied. </p><p>A highly stable quartz is the basis for the period measurement. I ts data and the dimensioning of the counter depend of the requirement of a field-independent resolution of about 0,1 nT. </p><p>Results of a long-time comparison speak in favour of the concept of period measurements. This comparison was carried out at the Deutsches Hydrogra- phisches Institut, Erdmagnetisches Observatorium, Wingst, using this instrument and a frequency measuring PRM. </p><p>Ein Perioden messendes Protonenmagnetometer mit Direktanzeige (Zusammen- fassung) </p><p>Es wird ein Perioden messendes Protonenmagnetometer (PRM) mit einem nachgeschalteten programmierbaren Digitalrechner beschrieben. Dcr l~echner wandelt den zeitproportionalen 1V[el~wert in eine frequenz- und damit feldpropor- tionale Anzeige urn. Weiterfiihrende Operationen, wie Mittelwertbildungen, werden ebenfalls fiber den l%echner on-line auf das MeBergebnis angewendet. Zus~tzlich wird ein Druckerprotokoll erstellt. </p><p>Ein hoehstabiler Quarz bildet die Grundlage ffir die Periodenmessung. Seine Daten und die Dimensionierung des Z~hlers sind durch die Forderung nach einer feldunabhi~ngigen AuflSsung yon etwa 0,1 nT bestimmt. </p><p>Fiir das Konzept der Periodenmessung sprechen Ergebnissc eines Langzeitver- gleichs, der am Deutsehen Hydrographischen Institut, Erdmagnetischen Observa- torium, Wingst, mit diesem Ger/~t und einem Frequenzen messenden PI%M durch- geffihrt wurde. </p><p>Magn6tom~tre h protons h mesure de p6riode avec lecteur direct (R6sum6) On d6crit un magn6tom~tre s protons s mesure de p6riode (P1RIV[) avec calcu- </p><p>lateur num6rique programmable connect6. Le calculateur eonvertit la valeur mesu- r6e, proportionnelle au temps, en une lecture proportionnelle ~ la fr6quence, donc au champ. Des op6rations suppl6mentaires, telles que le calcul de valeurs moyennes, sont aussi effectu6es en temps r6el par le calculateur sur les donn6es mesur6es. En outre, un 6tat imprim6 est fourni. </p><p>Un quartz de haute stabilit6 est la r6f6rence pour la mesure de p6riode. Ses donn6es et le dimensionnement du compteur sont fonction d'une r6solution sp6cifi6e d'environ 0,1 nT ind6pendante du champ. </p><p>Les r6sultats d'une comparaison de longue dur6e sont en faveur du concept de la mesure de p6riode. Cette comparaison fur men@ h bien au Deutsches ttydro- </p><p>graphisches Institut, Erdmagnetisches Observatorium, Wingst, en utilisant cet inst rument et un PI%M ~ mesure de fr6quence. </p></li><li><p>120 Dr. hydrogr. Z. 32, 1979. It. 3. Schulz e~ al.: Period Measuring Proton Magzaetometer </p><p>Introduction Starting from the relation </p><p>B = 2=y -1 ]p where : ]p = the frequency of the free precession of the proton; </p><p>= the gyromagnetic ratio of the proton; </p><p>the measurement of the amount B of induction using a PRM is referred to a frequency de- termination. </p><p>The transfer factor is </p><p>2=7 -1 = 23,48743 (1 +_ 5 9 10 -6) nT s (Weyand [1978]). </p><p>Its tolerances limit the absolute precision of the measurement. In addition, the measured value is systematically falsified by transverse relaxation processes (Wiese, Sehmidt et al. [1960]) and by possible magnetic impurities in the sensor. </p><p>With earth field measurements the amount of the transfer factor may be expected to cause precision frequencies of up to some 103 s -1. The relaxation processes cause an exponen- tial decay of the signal and thus of the signal-to-noise ratio. For an individual measurement a counting interval of several seconds is therefore available in the most favourable case. A direct measurement of frequencies by counting of periods throughout this time allows only a quantization of the order of magnitude of 10 nT. </p><p>Two methods are suited for achieving a smaller qnantization step : </p><p>1. Measurement of the duration of a given number of periods of the precession signal in periods of a crystal time base whose natural frequency of some 10 -5 s -1 is sufficiently high (instrument of the first generation). </p><p>2. Multiplication of the frequency of the precession signal by a suitable factor (abt. 102) prior to its counting within a fixed time interval (instrument of the second generation). </p><p>Whilst, in the first case, one obtains a value which is inversely proportional to the in- duction to be measured, the second method supplies a direct display which may be adapted - with appropriate adjustment between time interval and factor - to the valid SI unit (nT). </p><p>The multiplication of a frequency, however, is most sophisticated if - like in this case - the signal is disturbed by noise and if only the order of magnitude of the frequency is known. This problem is solved technically by means of a voltage-controlled oscillator (VCO) whose frequency is higher than the precession frequency by the factor of the desired mul- tiplication. The VCO is controlled in a phase-locked loop (PLL). After a division of the VCO frequency by the constant factor this frequency is traced in the PLL of the precession fre- quency. The induction B to be expected determines the coarse tuning of the base frequency of the VCO and thus, via the dynamic range of the VCO (VCO range), the acquisitionrange of the PLL. The signal controlling the VCO passes a variable low-pass which attenuates the disturbing influences of all irregularities of the precession signal on the VCO frequency. </p><p>(~omparison At the Erdmagnetisehes Observatorium, Wingst, measurements with both methods </p><p>have been undertaken since 1973 (with some interruptions). The principle of the first gene- ration has been represented by an instrument of the type V4931 of the firm Varian, and the principle of the second generation by an instrument of the type V75 of the same firm. The long-term comparison shows significantly systematic differences of the measured values between both instruments of some 0,1 nT. As the same probe-cable configuration is used for both instruments, the cause lies in the different counting electronics. </p><p>Voppe l [1977] suggests that the error in the instrument must be sought in the second generation. I t is important for this statement that the distribution of the differences is ob- viously correlated with the VCO ranges of this instrument. </p><p>In the first approximation the correlation is linear. Fig. 1 shows the regression lines of two VCO ranges after an adjustment of the instrument V75 by the firm Varian, with </p></li><li><p>Dr. hydrogr. Z. 32, 1979. I-I. 3. Schu lz et al.: Per iod Measur ing Proton Magnetometer 121 </p><p>T </p><p>AB </p><p>1,0 </p><p>nT </p><p>O_ </p><p>-o,s </p><p>--1,0 </p><p>T - %%'" .~0 ~ / S ~ ~r ~ </p><p>9 . . /~r / i m t " ~ "-'~ ~ </p><p>/ 9 / / 3 d-confidence belt J f / 9 /[ ~ /9 9 of the regression line </p><p>~: " Z F t I </p><p>io io io 6b B "- </p><p>Fig. i. Differences of induction values measured with the Proton Magnetometers V75 and V4931 in the sense 'V75 minus V4931' depending on the induction itself. The values are linearly smoothed </p><p>by the principle of least squares for two VCO ranges of the V75 </p><p>the generat ing values. A jump of about 0,7 nT in the over lapping area of both VCO ranges becomes obvious, a feature wh ich is well secured by additional relative measurements and wh ich is also true of the non-represented subsequent VCO ranges. </p><p>Fig. 2 shows the t ime-dependent processes of the deviations for three discrete values of induct ion _F -- 4,85 9 104 nT, H -- 1,8 9 104 nT and Z = 4,5 9 104 nT by runn ing quarterly </p><p>T/ (I- r onge %0 T T + </p><p>+ +/ j _ vz \V~ \T + + + </p><p>p ~ AB T ~_ T </p><p>T </p><p>nT ~\ "L~ T T T </p><p>- V l . . . . . AZ T i i </p><p>+-+ I I 1 </p><p>S\TT :-:! ! ! - ! -~ T </p><p>o d "A N'L, - I ~\~/~ ~\~ </p><p>0 ~ %- - ' - </p><p>i </p><p>-o,,-- I - I ~L--i I\T ~\~x -T T/I </p><p>] T.!' RT 7/ 1 H,Z:VCO ronge l I"/i I ~\!/ F." VCO ronge 2 x/~ i 1 -%0- I </p><p>I~1 I I I [ I I I I I I I I I I I I I I I I I </p><p>1973 1974 1975 t --,,,.- </p><p>Fig 2. Differences of induction values measured with the Proton Magnetometers V75 and V4931 in the sense 'V75 minus V493t ' during a t ime interval of two years. The values are smoothed by </p><p>overlapping quarterly means </p></li><li><p>122 Dr. hydrogr. Z. 32, 1979. I-I. 3. Schu lz et al.: Period Measuring Proton Magnetometer </p><p>means throughout the period August 73 to May 75. Their amounts correspond to those of the components of induction in Wingst, measured by means of the method of compensation (Voppe l [1972]). H and Z were measured in the VCO range 1, and F in the VCO range 2. </p><p>has not been represented for 1973, since it is uncertain which VCO range was used for this period. </p><p>The enlarged symbols for H and Z in August 1973 mark the values to be expected accor- ding to Fig. 1. Conversely, the respective symbols in the field-dependent representation show the situation of the temporally coinciding three-monthly means. The results are nearly identical within the la-l imits. </p><p>What is important is the knowledge that the long-term changes of the deviations are of the same order of magnitude as the deviations themselves. So, e.g. AH changes within two years by about 0,7 nT. This behaviour in particular is not in accordance with the re- quirement of high stability for base-line instruments. </p><p>Therefore, the IMS standard will also in future be derived from the older version of the first generation. To meet the requirement for a direct reading with a field-independent quantization of about 0,1 nT, the original counter of the instrument was replaced and a calculator was connected to it. </p><p>Technical description </p><p>P rese lec t ing counter The preselecting counter was built in the experimental workshop of the Deutsches </p><p>Hydrographisches Institut. Input of the counter is the highly amplified and limited pre- cession signal (rectangular) as well as a trigger signal of the analogous unit. Output is the BCD-coded counting n of the period trigger pulse for the subsequent computer. </p><p>] I supply </p><p>Components of the Voriometer V 4931 </p><p>amplif ier, voriable narrow- band fi l ler, l imiter </p><p>trigger- signal </p><p>r I </p><p>N [ </p><p>preselecling counter ] </p><p>memory: progrum </p><p>2 TF'f N, - -~-~ </p><p>processor </p><p>B" 2~Nf </p><p>1 K B=~EBi </p><p>i=I </p><p>l is l ing : p rogram </p><p>ni , B </p><p>I computer RD - 3Pj </p><p>I Tows Elektronik </p><p>I Fig. 3. Block diagram of the Direct Reading Proton Magnetometer </p><p>The time interval for counting the crystal frequency is given by the preselected number of passing periods of the precession signal. I t has proved useful to wire frequently occurring oscillating numbers - besides the sensitive incremental preset N - so as to enable their being dialled quickly. Field-dependent and configuration-dependent optimum values are obtained for this preset N: the error of quantization represents the lower limit, the signal- to-noise ratio of the precession signal at the end of counting represents the upper limit. </p></li><li><p>I)t. hydrogr. Z. 32, 1979. H. 3. Schu lz et al.: Period Measuring Proton Magnetometer 123 </p><p>The scattering of the wave front of the signal at the level of the tr igger threshold, at the t ime of triggering, is a measure for the port ion of noise. The measured values using a hexan probe are shown in Table 1. The re lat ively low usable counting intervals for the in- duction components Z and H follow from the remaining inhomogeneities of the superim- posed bias fields during the measurement of components. </p><p>Table i </p><p>Component </p><p>F </p><p>Z H </p><p>Induction </p><p>104 nT </p><p>4,85 </p><p>4,51 1,80 </p><p>Count preset </p><p>(7500) 5000 4000 </p><p>400 </p><p>Count interval </p><p>S </p><p>(3,63) 2,42 2,08 0,52 </p><p>init ial signal -to - </p><p>noise ratio </p><p>dB 30 </p><p>3O 2O </p><p>Error of noise, </p><p>relative </p><p>3" 10 -~ &lt; 10 -~ 8" 10 -7 4" 10 -~ </p><p>Error of quantization, </p><p>relative </p><p>7- 10 -~ 10-6 </p><p>1,2.10 -~ 5- 10 .8 </p><p>Taking as a basis a counting frequency of / = 4 9 10 a s -1, the quant izat ion steps, too, become sufficiently small. </p><p>In order not to fall short of the usual sampling rate of 1/(6 s) the wired preselection for F was establ ished to be 37 = 5000. </p><p>Drifts of counting frequencies are predominant ly due to temperature. They falsify the measurements systematical ly and must be control lable as far as they are not compensated by temperature-stabi l is ing devices. The control of the counting frequencies is done by com- parison with a highly stable reference frequency of 1000 9 (1 +__ 2 9 10 -7) s -1 before and after each measurement of the vector. </p><p>The function of the presetecting counter may be seen from the block d iagram in Fig. 4. The tr igger signal of the analogous unit causes, at first, a reset of the display COmlter and a </p><p>Out: GATE o CON TROL Out: SIGNAL CON TROL </p><p>Cfystdl I Oscitld tot Di v i der </p><p>In. fp e ~ I SIgnal- PRECESS/OiV-sIGNAL l, Amplifier </p><p>#RIGGER~LEVEL </p><p>+ I </p><p>In: I Reset/Stort TRIGGER ~ I Deley </p><p>I </p><p>SIGNAL 1 ISTART DELAY </p><p>Signal - Gate </p><p>__ stort 5top Sote-FF </p><p>- - ~ T e s t </p><p>4 Digit L~Nd Preset Coun ter </p><p>l l l l l l l Comparc~tor I </p><p>6Digit </p><p>Displdy Counter n </p><p>Computer Interface ] </p><p>Out: PRESET n </p><p>o Out: COMPUTING C OMMA ND </p><p>Fig. 4. Direct l%cading Proton Magnetometer . Basic block d iagram of the prcselecting counter </p><p>loading of the preselecting counter with the present N. After a delay of 30 ms to 300 ms the measurement starts. Via the signal gate and the t ime base gate the precession signal fp and the t ime base signal [ get into the preselecting counter or into the display counter, res- pectively. The preselecting counter now counts backwards from 37 and finishes the measu- </p></li><li><p>124 Dr. hydrogr. Z. 32, 1979. H. 3. Schulz et al.: Period Measuring Proton Magnetometer </p><p>rement at zero-coincidence by a pulse from the comparator to the gate FF. The display coun- ter then .indicates the number n of the time base units. One unit corresponds to a time of 2,5 9 10 -6 s. The beginning and end of the gate time are triggered in the gate I~F by the pre- cession signal. Both this signal and the gate signal are controllable via BNC plugs. The switch "test" enables a self checking of the instrument concerning the counting functions. For this purpose it is possible to start the measurement manually, </p><p>D ig i ta l computer The computer of the type I~D-3P was delivered by the firm Tews Elektronik. Input </p><p>of the computer is the counting n which - after triggering by the trigger pulse - is received by the preselecting counter. In the real-time mode the computer has to fulfil three tasks : 1. Computation of the induction B from the counting n and the preset N by means of </p><p>B = 2~ ]?-1 N n-: </p><p>where ] is the frequency of the crystal time base. The magnitude </p><p>2~ ]7 -1 - 0,9394972 9 10 T nT </p><p>is stored in the computer as constant value. The display is in the unit nT. 2. Averaging of a sequence of measured values. </p><p>Averaging serves for smoothing statistical variat...</p></li></ul>


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