Abstract
Algebraic integers have been proven beneficial to discrete Fourier transform, discrete cosine transform, and nonrecursive finite-impulse response filter designs since algebraic integers can be dense in C, resulting in short-word-width, high-speed designs. This work uses another property of algebraic integers; namely, algebraic integers can produce exact pole zero cancellation pairs that are used in recursive complex finite-impulse response, frequency sampling filter designs.
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