Digital lattice filters with reduced number of multipliers

Explicit design procedures are given for maximally flat and equal ripple lowpass and highpass transfer functions of the form H(z) = (z ± 1)^q/Dn(z) , (q = 1, 2 ..... n - 1). Efficient bandpass structures are obtained directly from the realization of H(z) using the Crochiere - Penfield method. The one-multiplier lattices of Gray and Markel realize the lowpass, highpass and bandpass transfer functions with n + 1 multipliers, if q = 1. If one-multiplier lattices with ε = +1 are used in the realization, the coefficient sensitivity peaks down in the passband of the filter.