New class of multiple-real-root equal-ripple (m.u.r.r.o.e.r.) polynomials for the design of active filters by cascading 3rd-order blocks

A new class of multiple-real-root equal-ripple (M.U.R.R.O.E.R.) polynomials is proposed for the design of RC-active filters by cascading 3rd-order blocks. With respect to the classical methods, this new technique allows reduction of the number of blocks or, alternatively, improvement of the attenuation performance. As a consequence, the proposed approach produces a reduction in the power consumption and in the intrinsic noise of the filter or, if the number of blocks has not been reduced, the resulting better attenuation performance allows component tolerances to relax.