[SLAC] [SLAC Pubs and Reports]
SLAC-PUB-7790
Track Fitting and Antennas
Abstract
The problem of fitting track data is transformed into a problem in
antenna theory. This latter well-studied problem is characterized as
an antenna array that is receiving a narrow band signal from multiple
distant sources. The goal here is to count the number of sources and
determine the angle of each source relative to the array. Similarly,
the original problem of track fitting is to count the number and to
determine the location and angle of each track, but in the presence of
noise and finite detection efficiency. However, an additional
complication in fitting tracks is that in a magnetic field, the radius
of curvature of the track must also be determined. This is shown to
map into an extended antenna problem of analyzing `chirped' or
frequency modulated sources. A somewhat detailed development and
discussion of track parameter estimation is then given.
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