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<H3><A NAME="SECTION003262500000000000000">
Gain steps</A>
</H3>
Here we consider only purely electrical gain changes that are guaranteed to be
spectrally neutral.
Examples are voltage-divider steps used to vary the gains of amplifiers;
switch-selected capacitors used in charge-integration systems; and pre-scalers
sometimes used to extend the dynamic range of counting systems.

<P>
The problem is complicated because there can be more than one set of variable
gain steps (often both ``coarse'' and ``fine'' steps are provided), and because
the actual gain values may not be well known.
In the latter case, we would like to determine them, if adequate calibration
data are available.

<P>
This is handled by having up to three columns containing the gain
codes; these codes may actually be strings representing the approximate values
in magnitudes, or other convenient labels, such as switch positions recorded in
the raw data stream.
The columns are named GAIN1, GAIN2, and GAIN3.

<P>
A character descriptor,
<B>GAINTBL</B>,
in the observational-data table
gives the name of a MIDAS table file, whose
columns are again labelled GAIN1, GAIN2, and (if needed) GAIN3
(see Table&nbsp;<A HREF="node645.html#tbl:gain-table">I.19</A>).
The reference column of this table contains the gain codes, and is labelled
CODES.

<P>
Note that the gain values are multipliers or scale factors; they are <I>not</I>
expressed in magnitudes.
The true signal is the value in SIGNAL multiplied by the value(s) in the
GAINn column(s).
It is immaterial whether the largest or the smallest gain is assigned the value
unity; the scale is perfectly arbitrary.

<P>
<BR>
<DIV ALIGN="CENTER"><A NAME="30734">&#160;</A>
<TABLE>
<CAPTION><STRONG>Table:</STRONG>
Columns of the gain-table file</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT">Column Label</TD>
<TD ALIGN="CENTER">Contents</TD>
<TD ALIGN="LEFT">Variable Type</TD>
<TD ALIGN="LEFT">Format</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> CODES</TT></TD>
<TD ALIGN="CENTER">gain codes</TD>
<TD ALIGN="LEFT">C*4 string</TD>
<TD ALIGN="LEFT">A4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAIN1</TT></TD>
<TD ALIGN="CENTER">gain values for first gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAIN2</TT></TD>
<TD ALIGN="CENTER">gain values for second gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAIN3</TT></TD>
<TD ALIGN="CENTER">gain values for third gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAINERROR1</TT></TD>
<TD ALIGN="CENTER">uncertainty of first gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAINERROR2</TT></TD>
<TD ALIGN="CENTER">uncertainty of second gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
<TR><TD ALIGN="LEFT"><TT> GAINERROR3</TT></TD>
<TD ALIGN="CENTER">uncertainty of third gain adjustment</TD>
<TD ALIGN="LEFT">R*4 real</TD>
<TD ALIGN="LEFT">E9.4</TD>
<TD ALIGN="LEFT">&nbsp;</TD>
</TR>
</TABLE></DIV>
<A NAME="tbl:gain-table">&#160;</A></TD></TR>
</TABLE>
</DIV>
<BR>
<P>
All the gains are of course pure numbers, and so have no units.
It is the user's responsibility to make sure the gain columns in the gain-table
and the data-table files match up correctly.
To assist this matching process, <I>both</I> files may contain a character
descriptor named
<B>GAINNAMES</B>,
containing up to three words (separated by commas) that name the three
gain adjustments.

<P>
The gains should be determinable to extremely high accuracy by purely
electrical measurements.
In some cases, the measurements have not been done, and only nominal values are
available, perhaps based on resistor tolerances.
The uncertainties should be placed in the GAINERROR columns.

<P>
If the gain steps are unknown, the 
<B>GAINTBL</B>
descriptor should contain one space.
If adequate calibration data are available, the reduction program will try to
construct a gain table, with the default name gain.tbl.

<P>
This table is a little peculiar, in that it is unlikely that the same names
will be used for the steps of the different adjustments.
For example, the high gain steps might be coded by letters, but the fine steps
by numbers.
In such cases, only one column in each row will have values defined.
This causes no problems, as only the combinations that have meaning should occur
in the data.

<P>
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<I>Petra Nass</I>
<BR><I>1999-06-15</I>
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