Apparatus and method for approximating the magnitude of a...

Details Apparatus and method for approximating the magnitude of a... Apparatus and method for approximating the magnitude of a...

G - Physics

06

F

354/143

G06F 7/544 (2006.01) G06F 7/48 (2006.01) G06F 7/552 (2006.01)

Patent

CA 1258537

Abstract of the Invention Vector magnitude approximating logic using logarithms of the vector's orthogonal components to select multiplier scaling constants and to minimize arithmetic-function and hardware complexity. The apparatus is particularly appli- cable to a high-throughput, pipelined, digital signal processing application such as radar. The vector magnitude is approximated by multiplying each component of a complex number representing the vector by selected scaling constants and then by summing the two resulting products. The scaling constants are selected by feeding each orthogonal component of the vector into one of two identical logic arrays which determine the base-2 logarithm of the absolute value of each component. The resulting logarithm values are fed, in parallel, into a third logic array which outputs an address to real and imaginary constant read-only memory generators for providing respective scaling constant pairs which are used to compute the approximate magnitude of the vector or complex number representing the vector.

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