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Modular Pre-Amplifier Design

(Wireless World, July = 1969)

 

Optimally designed = stages that=20 may be used separately or in several different combinations

 

by J. L. Linsley = Hood,=20 M.I.E.E.

 

 

The type of distortion introduced by a class A transistor amplifier = operating=20 at a low signal level will be predominantly second harmonic and = inoffensive to=20 the ear. Although harmonic distortion is a convenient thing to measure, = and=20 makes a reasonable yardstick for comparative purposes, at low levels its = presence is less important than that of the intermodulation effects it = causes.=20 When a complex signal is transmitted through a non-linear element, intermodulation products between the separate components of the signal = are formed, and these are readily apparent in the final audible result as a = =93blurring=94, and the loss of separate identity, of the individual = components=20 which make up the whole. A measure of this is the ease (or difficulty) = in distinguishing the words of a choral performance in the presence of an orchestral background, or in identifying the presence and nature of = individual instruments in a large orchestra.

 

Measurements by a number of workers (1) have indicated that the magnitude of intermodulation products can be = much greater than that of the total harmonic distortion level, and the non-linearities which are likely to be of the most importance in this = respect are those at the low- and high-frequency ends of the audible range.

 

At the moment, the performance of audio amplifiers is much superior = in this respect to that of f.m. transmissions, tape recordings, disc replay = systems, or loudspeakers. However, advances in manufacturing techniques of = gramophone records, pickup cartridges and loudspeakers have allowed a continuing improvement in the performance of these in harmonic and i.m. = distortion, and it is clear that any amplifier design offered at this time should have a = very high standard of performance if it is to remain of continuing value over the = next decade.

 

Fig. 1. A likely = combination of=20 stages.

(Click on figure for a higher resolution=20 image)

 

The author has designed a range of high-quality pre-amplifier stages. = Each stage performs its required operation with negligible noise and = distortion. When joined together, as for example in Fig. 1, the total harmonic = distortion level is below 0.1% over the frequency range 20Hz-20kHz, at any tone = control setting, and for up to 2V r.m.s. output. Each stage is capable of = operating on its own and has an output impedance low enough for screened cable inter-connections to be made without high frequency loss.

 

Magnetic pickup equalization circuit

 

Fig. 2. = Phase-inverting amplifier=20 stage used to obtain R.I.A.A. replay characteristic.

 

The required R.I.A.A. replay characteristics can be approximated by = several different circuit arrangements. The most straight-forward from the = point of view of performance calculation is that shown in Fig. 2, employing a = simple phase-inverting amplifier stage. If the gain of amplifier M is high = enough, point Z becomes a virtual earth (see Appendix I), and the input = impedance of circuit equivalent to that of the input network B. The load resistance = required by the pickup cartridge, usually 47-50kohm, is provided by a suitable = choice of R1. With resistor R2 equal to R1, stage gain is given by R4 + R5/R5 at = the mid-point frequency (usually 1kHz) if the impedance of C2 is large, and = that of C3 small in relation to R2. Since the voltage output to be expected = from most good quality magnetic pickup cartridges is in the range 4-10mV for a = 5cm/sec recorded velocity, a gain of 10 is adequate for this stage. The = required replay frequency-response curve shown in Fig. 3 can be obtained by a suitable = choice of C2 and C3. Since the two networks A and B determine the frequency = response of this circuit, it is apparent that substitution of these can be made = to provide a wide range of different performance characteristics without alteration to the circuit of amplifier unit M.

 

Fig. 3. Required = R.I.A.A.=20 frequency-response curve and circuits approximation to this.

 

The final circuit can be seen at the front of Fig. 1. Because phase = inversion=20 between input and output is required, and because the necessary gain is = higher=20 that can be obtained from any single transistor arrangement, a triplet = circuit=20 has been used. Tr1 and Tr3 are high-gain, low-noise voltage-amplifying = stages,=20 and Tr2 is a phase and voltage transformation stage allowing the input=20 transistor to be used in its most linear region. The output transistor = has a low=20 collector load resistance, to reduce distortion to the lowest possible=20 level.

 

D.C. working-point stability is ensured by D.C. negative feedback = through R3 and R2 to the base of Tr1, and through R4 to the emitter circuit of the = same transistor. The circuit R4, C4, and C5 also provides the feedback path necessary, in conjunction with the input capacitor C1, to provide an 18dB/octave steep-cut rumble filter, with a turn-over frequency of 25Hz = (see Appendix II), and an ultimate attenuation of more than 40dB at 8Hz.

 

Capacitor C6 provides phase correction, and is essential for a clean square-wave response, and freedom from transient ringing, when used = with a capacitive load.

 

The response of this circuit is particularly good, and it can deliver = up to 1=20 volt output with distortion less than 0.02% from 100Hz to 10kHz.

 

Stages for ceramic cartridge equalization

 

Fig. 4. Impedance = conversion stage=20 for use with ceramic cartridge. This may be
directly substituted for = the=20 magnetic cartridge stage at the front of Fig. 1.

 

Fig. 4 is an impedance conversion stage contributing less than 0.05% distortion at 1kHz and having a flat response from 35Hz to greater than = 200kHz, with 18dB/octave roll-off below 35Hz. This simple stage may be directly substituted for the magnetic cartridge stage of Fig.1.

 

Alternatively, should it be required that the pre-amplifier be able = to cope with inputs from both magnetic ceramic cartridges, then switchable = equalization networks for A and B can be provided. These are shown in Fig. 5. When = used with a ceramic cartridge the output is from 50 to 200mV. To preserve the = required shape of the rumble filter characteristic it is necessary to alter the = values of C4 and C5 from 25uF to 12.5uF. The pre-amp response is then as shown = in Fig. 5, curve 1.

 

Fig. 5. Changes in = equalization=20 networks A and B of the magnetic cartridge
input stage allowing = direct use of=20 ceramic cartridge. Components for network
"A" are the same for the = three=20 curves shown.

 

The performance of many ceramic pickup/amplifier combinations is disappointing in comparison with that obtainable from a good magnetic = cartridge with a similar amplifier. This is sometimes due to the mismatching = between cartridge and amplifier, or through inadequate input impedance = provision (in the modification shown in Fig. 5 this is 4.4Mohm), or due to the = failure of the piezoelectric element within the cartridge to provide the required = equalization for the 12dB fall in voltage output anticipated when a recording having R.I.A.A. velocity characteristics is replayed on a displacement = sensitive device. In the latter case, a very considerable improvement in the = relative performance of the ceramic cartridge may be obtained by shunting part = of the input resistor in the input network B by a small capacitor. Curves 2 = and 3 in Fig. 5 show partial and complete correction respectively.

 

Tone-control stage

 

The tone-control stage is of conventional type, and uses a negative = feedback system derived from the design due to Baxandall (2). However, it differs from normal = practice in=20 that a junction field-effect transistor is used as the active element.=20 Field-effect transistors have both lower noise levels and better = linearity than=20 bipolar transistors, and in this type of circuit the high input = impedance=20 results in negligible loading of the tone-control network. The stage = gain needed=20 in this circuit requires a high value drain load resistor, and the = f.e.t. must=20 therefore be followed by an emitter-follower to provide the low output = impedance=20 desired for easy interconnection of the separate units.

 

If the feedback tone-control network is to perform satisfactorily, = both the input and output impedances seen by the network at its ends must be low = in relation to the network input impedance when the sliders of the = potentiometers are at the position nearest to the point being measured. Some form of = impedance conversion circuit is therefore also needed between the volume control = and the tone-control circuit. An emitter follower is also used at this point. = The 0.001uF capacitor in the emitter circuit of Tr4 is to avoid the = possibility of high frequency parasitic oscillation occurring if long screened leads = are used to connect the base of Tr4 to the volume control.

 

The input to this section is taken through a switch from the = gramophone pre-amplifier section, and other inputs provided with preset = gain-equalization potentiometers. The switch is arranged to earth the inputs not in use, = to minimize breakthrough between programme channels.

 

The gain/frequency characteristics of the stage are shown in Fig. = 6.

 

Fig. 6. Gain/frequency = characteristics of tone control stage.

 

Low-pass filter circuit

 

The voltage amplifying stage preceding the main amplifier should = include a steep-cut low-pass filter that can be set to remove unwanted high = frequencies. This can be done either by a suitable LCR filter arrangement, or by an = active filter giving an equivalent performance without the use of inductors. = The circuit arrangements available for low-pass active filters are shown in = Fig. 7. (b) is the well known circuit arrangement first employed in an audio = amplifier design by P. J. Baxandall (3), = and (d) is the unity gain rearrangement of this circuit introduced by Sallen and = Key (4). The frequency response of all = these circuit arrangements is similar, mutatis mutandis, to that shown in Fig. = 8, and the circuit should be preceded or followed by a simple RC filter if the = type of response shown in the dotted line is required.

 

Fig. 7. Circuit = arrangements for=20 active low-pass filter design.

 

Fig. 8. Frequency = response of the=20 active filter circuits is 12dB/octave. Preceding

the filter with RC = network gives=20 response shown in broken line.

 

For a given overall stage gain, type (b) gives much better distortion = factor near the region of cut-off than (a), and (c) is marginally better than = (b) when used with non-linear amplifier elements. The particular advantage of = (c) however, is that it can be used conveniently with a very low-distortion two-transistor circuit.

 

The final stage, with the filter circuitry, is shown in Fig. 1. As a = matter of practical convenience, the component values of this circuit have = been chosen so that the required low-pass response is obtained when all of the = capacitors=20 =92Cx=92 are of equal value to each other. The frequency response = obtained with a given value of =91Cx=92 can be found in Fig. 9. The user can = interpolate between these to obtain turn-over frequencies at any points to suit his own requirements. If a ganged selector switch is employed to give a range = of turn-over frequencies, the switch arms (moving contacts) should be = connected to the junction of the resistors in the RC filter and to the 470ohm = resistor in the main filter network. In Fig. 1 the 0.0047uF capacitor for =91Cx=92 = results in=20 response being 3dB down at 18kHz. With good quality programme sources = this is a recommended capacitor value.

 

Fig. 9. Graph and = table of=20 turn-over frequencies for different value of =91Cx=92.

 

With capacitors of zero value, the response of the circuit is flat to = about 100kHz. The user should however arrange for the response to fall off = above 25kHz. (It is unlikely that the listener will find anything to gain = from the parts of the sonic spectrum beyond this point.)

 

The optimum performance of this particular type of circuit = arrangement is obtained when the overall gain is about 50 with feedback. A 20-40mV = input is therefore adequate for this stage for the output voltages required.

 

The distortion level of this circuit is less than 0.03% at 2 volts = r.m.s. output or less, at any frequency within the pass band. The output = impedance is less than 150 ohms over the range from 20Hz to the cut-off frequency=20 selected.

 

It is convenient, for several reasons, to operate at the 60-100mV = level through the tone-control stages. At this output voltage level the = distortion introduced by a RC coupled f.e.t. stage is less than 0.1% even without feedback, so that the maximum =91lift=92 settings of either =91bass=92 = or =91treble=92=20 controls cannot give rise to unacceptable levels of distortion. It is = also large=20 enough for the noise and inevitable 50Hz pickup to be unobtrusive. Some attenuation is therefore desirable between the tone control unit and = the steep-cut filter circuit. This is obtained by the preset 2kohm = potentiometer in the tone control circuit, which provides a convenient means for setting = the overall gain of the amplifier system, and also as a coarse =91balance = control=92 in a stereo system. Fine balance between channels is obtained by adjusting = the 100ohm balance potentiometer in the output stage. This alters the stage = gain over the ratio 6:10.

 

Constructional notes

 

The constructional technique used by the author in building the = prototype of this amplifier is similar to that used in the 10-watt class-A design = described in Wireless World in April 1969, with the separate units laid out in = mirror image form, as a stereo pair on a single 4in X 4=BEin s.r.b.p. pin = board, Two units of each type can be accommodated on each board, laid out more or = less in the form of the circuit diagram(or its mirror image).

 

In general, reasonable care should be taken to separate input from = output leads, and where the boards are to be mounted as a group within the = same box, it would be wise to interpose a sheet metal screen between them.

 

The units are separately coupled by 250uF capacitors from a common = 24-volt line, derived from a zener diode stabilized RC filter power supply. = This supply is separate from the main amplifier, and a 30mA output is ample. = Details of a suitable power supply are given in Fig. 10. The expected working = voltage on each of the unit sub-rails is about 15volts.

 

Fig. 10. Suitable = power supply for=20 any combination of stages.

 

Apart from the input transistor in the gramophone pre-amp unit (Tr1) = for which the BC109 is to be preferred, there is no particular reason why = any modern silicon planar types should not give an indistinguishable = performance. For example, the n-p-n types could be 2N3904, BC107/8/9, 2N3707, or = BC184Ls. Similarly, the p-n-p types could be 2N4058, 2N3906, or BC214Ls.

 

Although, in many cases, the use of 1/4 watt resistors is sufficient, = it would probably be found simpler to use 1/2 watt units throughout. 5% = tolerance carbon film resistors are to be preferred.

 

The author has mounted the gramophone pickup equalization circuit in = a separate small diecast box, immediately under the gramophone turntable = unit, so that the leads from the gramophone are taken at a low impedance from = the output of this unit. This has been very effective in reducing the hum picked = up on the output leads to an imperceptible level.

 

Appendix l

 

The use of =91virtual earth=92 (null seeking) amplifier circuit = arrangements is superficially ill-advised with input elements such as pickup = cartridges, because it appears that as the operating frequency is increased, the = input half of the balancing limbs will also change, with a resultant change in the = gain of the circuit. In particular a magnetic pickup cartridge may have an = inductance of some 300-800mH and the impedance of this will exceed that of the = input circuit in the range 12-20kHz. This should clearly reduce the gain of = the system by reducing the ratio of A to B.

 

However, on reflection, it can be seen that the amplifier operates as = a null generating device, sensitive only to the current flowing in the input = circuit to the =91virtual earth=92. As the operating frequency increases, so = the current flow through R1 will decrease, but so it would in any case, regardless = of the amplifier, were the element simply connected across network B as the = load recommended by the cartridge manufacturers (at these frequencies the = impedance of C1 can be ignored), and the voltage across R1 measured by a perfect = voltage amplifier. The decrease in current input into a given resistive loads = from a source having a series inductance is simply an unfortunate fact of = life, from which one cannot escape, whatever one=92s technique of measurement, and = high impedance voltage amplifiers connected across the load, or low = impedance current amplifiers connected in series with it, are alike in this = respect, except that with transistors, the latter are a bit easier to contrive. = The same argument is also applicable, in the appropriate context, to high = impedance capacitative elements such as piezo-electric pickup cartridges. Once = again, the voltage amplifier and current amplifier see the same phenomena in = identical form. The necessary, and inevitable, corrections can be accomplished by = simply by the tone control settings.

 

Appendix II

 

Although the R.I.A.A. replay characteristics suggest an approximately = flat velocity response from 20-50Hz, this would effectively imply recording = bass lift in this region and the author suspects that this is not done and a constant modulation characteristic being used instead. The author has therefore, for his own use, modified the values of the feedback = elements as follows: R5 =96 470 ohms; R6 =96 1.5kohms; C1 =96 0.47uF; C3 =96 = 6800pF; and C6 =96=20 6800pF. These changes maintain the velocity response flat down to 25Hz, = with rapid attenuation below this frequency. Unfortunately the mid point = gain of the circuit is reduced to 5, and some additional amplification is therefore = needed if it is desired to avoid working with the tone control circuit at the = 20mV level. The simple floating emitter collector-follower circuit of Fig. = 11 is therefore interposed, without coupling capacitors, between the output = series resistor and the collector of Tr3. The distortion contributed by this = is less than 0.05%.

 

Fig. 11. Floating = emitter=20 collector-follower circuit referred to in Appendix II.

 

References

 

1.     Langford-Smith, F., =93Radio Designers Handbook=94, Vol.4 = ch.72.

2.     Baxandall, P. J., =93Negative-Feedback Tone Control=94, Wireless = World, October 1952

3.     Baxandall, P. J., =93Gramophone and Microphone Pre-amplifier=94, = Wireless World, January 1955

4.     Sallen, R.P. and Key, E.L., I.R.E. Trans. Circuit Theory, March = 1955, p. 74-85

 

 

Postscript (December = 1970)

 

Modular pre-amplifier

 

The intention in the original article was not to offer a complete pre-amplifier design, but rather to describe a series of versatile = =91building blocks' from which the potential user could assemble a 'custom built=92 = pre-amplifier to suit his own needs or preferences. To increase the = scope of this some additional circuit modules are described below.

 

Steep cut low-pass filter. It is certainly prudent to = include a=20 low-pass filter somewhere fairly close to the input of the main = amplifier whenever a wide-bandwidth main amplifier is to be used with a = good-quality=20 loudspeaker system. Doing so will prevent unwanted high-frequency = components,=20 arising from component noise, record surface noise, and similar causes, = from=20 impairing the long-term listening comfort of the user, and from = producing=20 avoid­able intermodulation effects due to non-linearities in the=20 loudspeakers.

 

The combination of such a steep-cut low-pass filter with a = low-distortion, low-output impedance driver stage, with a gain of 50 and an output = capability of some 2V r.m.s. at 0.02% t.h.d., appeared to provide the most = versatile system for use with a wide variety of power amplifiers.

 

However, many power amplifiers require an input voltage of only 0.25 = - 0.8V r.m.s., and there are snags in respect of hum and component noise if = the stages following the volume control are operated at levels below some 50mV. = The preferred level to achieve an optimum balance of noise and distortion components is probably in the 100 =96 200mV region. In these = circumstances a driver-stage gain of 50 is excessive, and much of the available gain = must be removed by an input attenuator, and if a potentiometer is used for this = it can introduce noise.

 

 

To meet this need more conveniently, two further versions of the = driver amplifier, incorporating steep-cut low-pass filter characteristics = which are identical to that of the original circuit, and having gains of 20 and = 5, are shown in Figs. 5(a) and 5(b). An alternative, three-transistor = arrangement whose cut-off slope is variable over the range =966 to =9618dB/octave, = at any chosen (switchable) frequency, is shown in Fig. 6. This consists of a = single transistor version of the =91H=92 filter used in the two previous = pre-amplifier designs (the nomenclature derives from the shape of the component = layout in the=20 =91op-amp=92 form), followed by a very low distortion two-transistor = amplifier whose=20 gain can be chosen as required, over the range 5 to 100, by adjustment = of Ra and=20 Rb. If a unity-gain stage is all that is required (actually the gain is = about=20 0.9) the output ran be taken from the point marked 'A' on the diagram, = and Tr7=20 and Tr8 omitted.

 

 

The response curve of the filter circuit, at any chosen turnover = frequency is=20 shown in Fig. 7. The slope is smoothly variable by adjustment to the = 5kohm pot.=20 If the slope pot. Is open circuit the response is flat to 20kHz and = beyond, but=20 in this case the load impedance should not be less than 50kohm.

 

 

For completeness, an equivalent single-transistor high-pass filter, = having a cut-off slope approaching 18dB/octave, and suitable for use as a = =91rumble=92=20 filter or a pre-amplifier woofer/tweeter cross-over filter, is shown in = Fig. 8. The frequency response characteristics of this filter are shown in Fig. = 9. Both of these filter circuits should be driven from a source having a fairly = low impedance =96 not higher than 6kohm.

 

 

 

If single transistor =91H=92 filters are to be used at output signal = levels exceeding 100mV a Darlington transistor, e.g. Motorola MPSA14, is to be preferred.

 

The apparent noise level, referred to the input, of the two = transistor driver=20 amplifiers, using reasonably low noise transistors and an input = impedance of the=20 order provided in the normal circuit, is about 4 =96 6uV. The output = noise voltage=20 in the original circuit was 0.2 =96 0.3mV, which should be inoffensive. = With a=20 lower gain driver stage this noise will be reduced even further.

 

The use of a variable negative feedback type of balance control in = these circuits is deliberate, in that it permits a low output impedance to be obtained from the driver stage. Measurements made with a wide range of published transistor-operated power amplifiers have shown that = substantially lower distortion levels are often given by using a low-impedance drive = circuit, and that there is frequently an advantage also in terms of hum, noise, = and transient response.

 

Tone-control circuit. This stage has a worst case (bass and = treble controls set to maximum =91lift=92) distortion level which is typically = less than 0.1% at 1V r.m.s. output. It is perfectly capable of driving a normal=20 high-quality power amplifier without the interposition of other = pre-amplifier=20 stages. The required signal amplification could then be provided prior = to the=20 volume control. This is tending to be the normal practice in commercial = =91hi-fi=92=20 amplifiers, in that it gives the highly-sought-after zero noise-level at = minimum=20 volume control settings, and makes for economies in the use of = components.

 

Noise in the tone-control stage due to the f.e.t. has caused = occasional troubles. This should not occur with the f.e.t. now recommended for = this part of the circuit (the Amelco 2N4302), which appears to have a = consistently low noise level. The necessary bias adjustments were described in a letter = to the editor published in April 1970.

 

The input impedance level suggested for the tone-control stage was = 50kohm, because it was thought that most of the other systems likely to be used = with this unit would be transistor operated; and this would be a suitable = level for this purpose, while avoiding some of the hum pick-up problems likely to = be encountered at higher impedance levels. However, if this impedance is = too low, and if a high gain (beta greater than 400) transistor is selected for = Tr4 =96 in fact most BC109s will do =96 the base bias resistors can be increased = to 1Mohm and 560kohm (instead of 200kohm and 100kohm) enabling the volume = control and auxiliary control potentiometers to be increased to 25kohm.

 

If an even higher input impedance is required, the f.e.t. impedance conversion shown in Fig. 4 in the original pre-amp article can be = substituted in its entirety for Tr4. To preserve the function of the rumble filter = in this circuit, with the 0.47uF capacitor desired to feed the tone-control = network, a 4.7kohm resistor should be connected from the output side of this = capacitor to the earth line. A low noise f.e.t. is of course preferable.

 

If additional amplification is required on any signal source prior to = the tone-control stage (if this is working at the 100mV level) a simple single-transistor feedback amplifier such as that shown in Fig. 10, can = be used with confidence, in that its performance is stable, its noise is low, = it is almost impossible to damage by an input overload, and its distortion is = well below 0.1% at output voltages up to 0.25V r.m.s., and with gains up to = 10.

 

 

Magnetic pickup equalisation circuit. Some requests have been = received=20 for component values for the use of this circuit for tape-replay = characteristic=20 equalization. The author remains of the opinion that this type of = provision is=20 best left to the manufacturers of the tape recorder, in that the actual = head=20 characteristics can influence the replay frequency/voltage = characteristics.

 

However, a fairly close approximation to the replay curve = theoretically required for 7.5 i.p.s. is given if C2 and R2 in the original = equalization network A are altered to I00pF and 27kohm.

 

The noise level of this circuit is almost entirely determined by the=20 performance of Tr1 The BC184C and 2N5089 transistor types may be of = interest in=20 this position.

 

The maximum output which can be obtained from this circuit at 0.02% = t.h.d., is 2V r.m.s. If the normal input to the tone control circuit, or other following stages, is l00mV, this gives a 26dB overload capability. The = gain of the equalization circuit can be increased by a factor of 3, (i.e. to 30 = at 1kHz) without upsetting the rumble filter characteristics if R5 is = reduced to 68ohm and C4 increased to I00uF.

 

Miscellaneous. An omission from the original article was the suggestion that high value resistors (2 =96 5Mohm) should be connected = across the switch contacts, from slider to each Cx. This removes 'plops' on = switching ranges.

 

A number of correspondents have queried the need for a separate h.t. = power supply for the pre-amp. (The reservoir capacitors for the unit shown = should have read 35V working, not 25V). It is always possible to run the = pre-amp via a suitable voltage-dropper circuit from the main amplifier power supply = and if a zener diode is included in this line, this scheme may be satisfactory. = However, measurements on channel separation and harmonic and i.m. distortion, = with identical amplifier systems invariably show some advantage, = particularly at the low-frequency end of the audible spectrum, in the use of a separate = power supply for the pre -amp (even when the electrolytic bypass capacitors = are still new) and this arrangement is still recommended by the author as well = worth the small additional cost.

 

One point which has not been published, to the best of the author's knowledge, concerns the particular advantage conferred by the feedback = pair amplifier using complementary transistors, such as that used in the = low-pass filter circuit, in comparison with the more usual n-p-n/n-p-n pair, = where the bias for the first transistor is derived from the h.t. line. In the = case of the n-p-n/p-n-p pair, any h.t. line feedback, due to inadequate h.t. line = bypass, will be negative rather than positive, and this can assist in obtaining = good t.h.d. figures down to low signal frequencies.

 

 

 

My  thanks go to Malcolm Jenkins for providing the copy of the = article=20 used to make this web page and to Lynn Miller for converting it into web = format.

 

 

[ Back=20 to Index ]

 

 

HISTORY: Page created = 06/01/2002=20

13/01/2002 Hi-res Fig. 1 and December = 1970=20 postscript added

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