Realization of arbitrary ratio frequency division electronic gear

A new electronic gear based on Bresenham algorithm and field-programmable gate array (FPGA) is presented to realize the arbitrary ratio fractional frequency for the design of hobbing machine CNC system. The basic principle of this realization method determines the order to form a closer approximation to a straight line between two given points, which is usually used to draw lines on a computer screen, and applied for fractional frequency divider at arbitrary ratio in hardwere description language (HDL) on the FPGA. This new algorithm eliminates expensive multiplications and divisions as well as numerical scaling to integer-only arithmetic, so achieves high efficiency and good stability. Generic synthesizable Verilog-HDL design following this algorithm is simulated on Quartus II system and examined by synthesis examples on CNC system.