Abstract
The concept of a Complex Residue Number System is introduced in which certain purely imaginary numbers exist as reals within the system. It is shown that the desirable properties of a Quadratic Complex Residue Number System with regard to extremely simplified addition, subtraction, and multiplication carry over to Quadratic-Like systems. Furthermore, unlike Quadratic systems, there are no restrictions on the moduli for Quadratic-Like systems. Applications of both Quadratic and Quadratic-Like systems to real-time signal processing for ultrasonic nondestructive testing and evaluation are briefly discussed.
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