Shelving Filter Cascade with Adjustable Transition Slope and Bandwidth

A shelving filter that exhibits an adjustable transition band is derived from a cascade of second order infinite impulse response shelving filters. Two of three parameters, i.e. shelving level, transition slope and transition bandwidth, can be freely adjusted in order to describe the design specifications. The accuracy of the resulting response depends on the number of deployed biquads per octave. If this is set too small, deviations in level and bandwidth as well as a rippled slope can occur. The shelving filter cascade might be used in applications, that require a fractional-order slope in a certain bandwidth, such as for sound reinforcement system equalization, sound field synthesis and audio production.