The modified quadratic residue number system (MQRNS) for complex high-speed signal processing

Rahul Krishnan, GRAHAM A. JULLIEN, W. Miller · IEEE Transactions on Circuits and Systems · 1986

Recently, the Quadratic Residue Number System ,(QRNS) has been introduced [5], [6], which allows the multiplication of complex integers with two real multiplications. The restriction is that this special residue number system has all moduli with prime factors of the form4 k + 1. If an increase in real multiplications from two to three can be tolerated, the restriction can be lifted to allow moduli of any form.

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