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An algorithm to randomly generate the parameters of stable invertible autoregressive moving average processes of order (p; q)-ARMA (p; q)-is presented. The AR and MA portions are independent of each other, and their respective parameters have jointly uniform distributions with support defined by stability and invertibility considerations. The uniform density insures that each possible model is equally likely. The algorithm uses the Levinson-Durbin recursion to guarantee the poles and zeros are inside the unit circle, thus avoiding coefficient resampling typical of "generate and test" methods. To initialize the Levinson-Durbin recursion for each model order, the reflection coefficients are generated using a rejection sampling technique.

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To accelerate both protons and heavy ions, the AGS Booster requires a broadband (multi-octave) beam position monitoring system with a dynamic range spanning several orders of magnitude (2 x 10'° to 1.5 x 10" particles per pulse). System requirements include the ability to acquire single turn trajectory and average orbit information with ±0.1 mm resolution. The design goal of ± 0.5 mm corrected accuracy requires that the detectors have repeatable linear performance after periodic bakeout at 300°C. The system design and capabilities of the Booster Beam Position Monitor will be described, and initial results presented.