Converting Infinite Impulse Response Filters to Parallel Form [Tips & Tricks]
Balázs Bank · IEEE Signal Processing Magazine · 2018
Discrete-time rational transfer functions are often converted to parallel second-order sections due to better numerical performance compared to direct form infinite impulse response (IIR) implementations. This is usually done by performing partial fraction expansion over the original transfer function. When the order of the numerator polynomial is greater or equal to that of the denominator, polynomial long division is applied before partial fraction expansion resulting in a parallel finite impulse response (FIR) path.