Digital vector generator apparatus for providing mathematically precise

Abstract

The vector generator employs a digital accumulator for each vector component. The accuracy of generated vectors is optimized by presetting the fractional portions of the accumulators to a value of either 1/2 or to 1/2 less 1 LSB. Accumulation of errors over concatenated vectors is eliminated by employing high enough fractional resolution relative to the maximum vector length so that error accumulation on any single vector is limited to the fractional portions of the accumulators, and by setting the fractional portions of the accumulators, on the last clock cycle of each vector, to a value of 1/2 to 1/2 less 1 LSB. Also, by setting/presetting the fractions to only 1/2 less 1 LSB, and by enabling the carry input to a given accumulator on only the first clock cycle of vectors that have certain orientations, then symmetry is forced or favored in complex symbology that is generated by concatenated vectors.