Closed-Form Design of Digital IIR Integrators Using Numerical Integration Rules and Fractional Sample Delays
Chien‐Cheng Tseng · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2007
In this paper, the numerical integration rules and fractional sample delays will be used to obtain the closed-form design of infinite-impulse response (IIR) digital integrators. There are two types of numerical integration rules to be investigated. One is Newton-Cotes quadrature rule, the other is Gauss-Legendre integration rule. Although the proposed IIR digital integrators will involve the implementation of fractional sample delays, this problem is easily solved by applying well-documented design techniques of the finite-impulse response Lagrange and IIR allpass fractional delay filters. Several design examples are illustrated to demonstrate the effectiveness of the proposed method