IIRstrukturer
IIRstrukturer refers to realizations of Infinite Impulse Response (IIR) digital filters. An IIR filter is described by a rational transfer function H(z) = B(z)/A(z), where A(z) and B(z) are polynomials in z^-1. The corresponding difference equation y[n] = -∑_{k=1}^M a_k y[n-k] + ∑_{k=0}^N b_k x[n-k] shows how the current output depends on past outputs and current and past inputs. This feedback gives the impulse response an infinite duration in general.
Common realizations include direct forms, canonical forms, and cascaded or lattice structures. Direct Form I implements
To improve numerical stability and scalability, IIRstrukturer are frequently decomposed into cascades of second-order sections (SOS)
Other realizations include lattice and lattice-ladder structures, which provide inherent numerical robustness and are convenient for
Numerical considerations are central to choosing a structure. Finite word length effects, round-off noise, and coefficient