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US 2021/0109712 A1Published application
Hardware Algorithm for Complex-Valued Exponentiation and Logarithm Using Simplified Sub-Steps
AssigneeUltraleap Limited
InventorBenjamin John Oliver Long
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Abstract
A method of generating complex exponentiation and logarithms in hardware is described that uses half the number of bits of lookup tables as the state-of-the-art. By splitting up each of the iterations into more simplified stages or using more iterations, the amount of precomputed information that must be held by the circuitry is reduced. This allows synthesis tools to take this more succinct logical description of the algorithm and make it into efficient gate level logic for fabrication into more compact integrated circuitry.
Claims17
A system comprising:
- a hardware component having at least one input and at least one output;
- wherein the hardware component implements a switchable complex-valued unit having a to-logarithm functionality and a to-exponential functionality;
- wherein the at least one input and the at least one output are complex valued;
- wherein shift-and-add processes are applied to values in the hardware component that effect a separable multiplication of:
- i) the at least one input;
- ii) (1+c);
- and (1+di);
- wherein “c” is a real value and “di” is an imaginary value.
5 more elements
Dependencies are inferred from the claim text.