In measurement tasks, such as the determination of
the arrival time of events, severa1 methods based on least
squares routines have been demonstrated. Nevertheless, the high
potential of digital least squares methods in high-resolution
nuclear spectroscopy is not fully exploited in practical due to its
heavy calculation burden, especially in real-time applications and
in spatial computing FPGA device implementation. The paper
presents an efficient and real-time operating implementation into
a Xilinx Virtex-5 SX50-SG-1 FPGA device of the Gauss–Newton
algorithm, which is one of the most used methods to solve non-linear least squares problems