Development of Least Squares Fitting Routines for Real Time GHz Scale Waveform Analysis

The next generation of hadronic parity violation experiments like NDTγ will require ~10^15 photon events with individually resolved energies to reject background radiation. With recent advances, it is now possible to achieve high energy resolution in real time by doing least squares fitting on the FPGA using an approximate formulation of the algorithm. The accuracy can further be increased by accounting for the covariance of the waveform data. I will report on the implementation of recursive piecewise polynomials used in this algorithm, and new techniques for minimizing the realistic χ^2 on the FPGA.