本論文著重在以菲諾架構(Farrow Structure)實現多項式內插法，有升餘弦函數(Raised Cosine Function)、Spline function、Lagrange function、拋物線函數(Parabolic Function)、B-spline function，並分析比較各種多項式函數在同一電路架構上的性能。;In communication systems, symbol timing recovery is one of the most basic functions. In general, the sampling frequencies of the transmitter and receiver are not the same, this will lead to non-synchronization. Therefore, it is necessary to use interpolation techniques that uses polynomials to approximate the impulse function of ideal low pass filter if the sampling frequency of the receiver is fixed.
The thesis focuses on the farrow structure achieving polynomials including raised cosine function, spline function, lagrange function, parabolic function, b-spline function. Finally, we analyze and compare the performances of various polynomials in the same structure.