Hardware approaches to vector plane rotation

A review is presented of the methods available to designers of dedicated digital-signal-processing hardware that requires the operation of vector plane rotation. It is shown that there are many alternative techniques to those traditionally used for this purpose, and that the increasing availability of custom VLSI is making the exploitation of these alternatives increasingly practical. In particular, use of distributed arithmetic can result in efficient vector rotation on standard and nonstandard complex planes alike. Several distributed arithmetic techniques are demonstrated that bring increased processing throughput at increased hardware cost, requiring cost/performance tradeoffs in particular applications