Incremental computer error analysis

Analyses of two types of computational errors inherent in digital differential analyzer (DDA) operation are presented. Even though the emphasis is on the statistical analysis of round-off error, truncation error is also discussed in detail. The basic functional block of the computer, the integrator, is represented by a transform. Transform representation leads to analytical simplification in that block-diagram algebra and other phases of transform theory can be applied. Analysis of a high-resolution type of DDA is introduced as an extension to the theory. Examples are illustrated in Appendixes I - IV.