Power Reduction in Custom CMOS Digital Filter Structures

Today the main optimization parameter of digital filters is the filter order. By the aid of two implemented filters we will show that both power and speed can be enhanced if the optimization effort is made on reducing the filter coefficient lengths rather than minimizing the order. Both filters have been designed from the same specification, one as a standard minimum order filter, the other as a filter with short coefficients found by a computer search. The minimum order filter is of order three with seven bits long coefficients. The coefficient optimized filter is of order six with two bits long coefficients. Both filters were implemented with bit-serial fixed coefficient arithmetic in two’s complement representation in a 0.8\, \mu , two metal layers CMOS process. Measurements show an eightfold speedup at half the power consumption and only 30% area cost for the coefficient optimized filter.