Abstract
Algebraic integers have been proven beneficial to DFT, DCT, and non-recursive FIR filter designs since algebraic integers can be dense in C, resulting in short-word-width, low power, and high-speed designs. This paper uses another property of algebraic integers; namely, algebraic integers can produce exact pole zero cancellation pairs that are used in recursive complex FIR, frequency sampling filter designs. Design synthesis results for Xilinx and Altera FPLDs are provided.
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