Some Architectures for Chebyshev Interpolation

Digital architectures for Chebyshev interpolation are explored and a variation which is word-serial in nature is proposed. These architectures are contrasted with equispaced system structures. Further, Chebyshev interpolation scheme is compared to the conventional equispaced interpolation vis-a-vis reconstruction error and relative number of samples. It is also shown that the use of a hybrid (or dual) Analog to Digital converter unit can reduce system power consumption by as much as 1/3rd of the original.

💡 Research Summary

The paper investigates digital implementations of Chebyshev interpolation and proposes a novel word‑serial architecture that markedly reduces hardware complexity and power consumption compared with conventional equispaced (uniform) interpolation structures. After a concise review of the mathematical properties of Chebyshev nodes—specifically that the roots of the Chebyshev polynomial of the first kind are given by (x_k = \cos\big