Method of Reconstructing a Moving Pulse

We present a method of analyzing a set of N time signals fi(t) that consist of local measurements of the same physical observable taken at N sequential locations Zi along the length of an experimental device. The result is an algorithm for reconstructing an approximation F (z, t) of the field f(z, t) in the inaccessible regions between the points of measurement. We also explore the conditions needed for this approximation to hold, and test the algorithm under a variety of conditions. As a demonstration, we apply this method to analyze the magnetic field measurements taken on the Compact Toroid Injection eXperiment (CTIX) plasma accelerator. EDICS Categories: DSP-SAMP, DSP-ALGO, SAM-MCHA This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible. CTIX Group University of California, Davis Department of Applied Science 4435 North First Street MS: 303 Livermore, CA, 94551 LAB: 925 424 5243 FAX: 925 424 4872 Stephen J. Howard [email protected] Office: 925 424 4060 March 31, 2008 DRAFT IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. X, NO. Y, Z 2007 1 Method of Reconstructing a Moving Pulse