Signed-Digit High Speed Transcendental Function Processor Architecture
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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In support of the computation requirements of complex equations, a processor which can compute elementary transcendental functions with high throughput is becoming a hard requirement for many systems. In particular, the computation of components of the Vector Wave Equation are becoming bottlenecked by the reduced speed of the processor when computing the required elementary functions. To speed up the computation of these type of functions, a pipelined processor with high throughput is developed. This processor will compute Sine, Cosine, Tangent, Cotangent, Arctangent, Exponential, Natural Logarithm and Division as a minimum. The accuracy of the computations will be greater than IEEE double precision. The majority of the approximation algorithms are derived from Chebyshev Polynomials, due to their error characteristics and compatability with a pipelined processor. The only approximation algorithm not derived from Chebyshev Polynomials is the division algorithm.
- Numerical Mathematics
- Computer Systems