Abstract
An integrated radix-2 on-line algorithm for computing rotation factors for matrix transformations is presented. The inputs are in sign-and-magnitude, floating-point representation and the outputs can be used in on-line signed-digit or in parallel form. The exponents are computed using conventional arithmetic while the significands are processed using on-line algorithms. The conventional result is obtained by using an on-the-fly conversion scheme. The rotation factors are computed in 10 + n clock cycles for n-bit significands. The clock period is kept small by the use of redundant adder schemes and low-precision estimates. The implementation and performance of the algorithm are discussed and compared with other approaches.
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