Design of maximally-flat FIR filters using the Bernstein polynomial

The paper provides, through the use of Bernstein polynomials, a new insight into the design of maximally-flat (MAXFLAT) FIR filters. In particular, it demonstrates a link between the various existing methods, and provides an analytical support to the empirical relation given by Herrmann. It is also shown to provide a new computationally efficient algorithm for the design of such filters