Method and apparatus using the Bresenham algorithm to synthesize a composite SYNC signal

A method and circuit for generating a train of synthesized sync pulses in accordance with the Bresenham algorithm in response to an input clock having frequency Fi, such that the leading edges of the pulses occur at least nearly periodically, with time-averaged frequency at least nearly equal to (A/T)Fi, where A and T are integers, and such that the accumulated error, between the actual time interval between the first and last leading edges of Z consecutive ones of the pulses and the time ZT/(AFi), never exceeds 1/Fi. When Fi is equal to (T/A)Fo, where Fo is a predetermined output line frequency, an embodiment of the sync pulse generator includes an accumulator which stores a Count value, a comparator, and logic circuitry for generating the sync pulse train in response to a binary signal asserted by the comparator (and typically also control data that determines a configuration of the logic circuitry). The Count value is set to zero in response to a Frame Start event, and then increases by the above-noted integer value, A, once per input clock cycle. During each input clock cycle, the comparator compares the Count value in the accumulator with the above-noted integer value, T. In response to the comparator output indicating that the Count value has risen to a value greater than or equal to T, the Count value in the accumulator is reduced by the value T-A and the logic circuitry asserts the leading edge of a sync pulse. In typical cases in which the sync pulses are for use in clocking, generating, or synchronizing with a video signal (and the initial value is zero), the ratio T/A is equal to the number of input clock cycles per line of the video signal (i.e., the number of input clock cycles required to clock out a line of the video signal to a display device using an output clock having the output clock frequency).