Digital filter structures described by distributed arithmetic

This paper presents a new formulation of digital filters that combines the description of signal-processing and arithmetic operations. This is done by noting that multiplication is a form of convolution and therefore normal one-dimensional scalar convolution is in fact two-dimensional binary convolution. This is generalized to multidimensions and can be applied with table-look-up and transform techniques. The result is a unified description that describes a digital filter structure down to the bit level.