A linear look-ahead filter is a model of digital dynamical systems and infinite impulse response (IIR) filters for fast pipeline processing in very large scale integration (VLSI) implementation of the digital systems. Two essential problems to be dealt with in the design of look-ahead filters are stability and computational complexity of the filter. In this paper, a new periodic scheme is proposed to stabilize the d-step look-ahead filter and provide minimum amount of computation in digital implementation of the filter.