Design of half sample delay recursive digital integrators using trapezoidal integration rule

This paper describes the design of half sample delay recursive digital integrators. For this, a half sample delay is applied on trapezoidal integration rule, then a modified FIR fractional delay filter is used to design recursive digital integrators. The modified FIR fractional delay filter is less complex and more efficient than original one. In this way lower order recursive digital integrators have been designed and compared with existing half sample delay and conventional recursive digital integrators. The results show the effectiveness of the proposed integrators with low percentage absolute magnitude relative error (PARE) and linear phase response over almost 0% to 80% of the entire Nyquist frequency range.