iir_design.hpp File Reference

High-order analog-prototype IIR design (Chebyshev Type I, Chebyshev Type II, Elliptic / Cauer) producing biquad cascades (SOS) via the bilinear transform. More...

#include <pulp/signal/filter_design.hpp>
#include <pulp/signal/frequency_response.hpp>
#include <pulp/signal/special_functions.hpp>
#include <cmath>
#include <complex>
#include <span>
#include <vector>
#include <algorithm>

Go to the source code of this file.

Classes
struct	pulp::signal::IirDesign
	Chebyshev / Elliptic IIR design utilities. More...

Namespaces
namespace	pulp
namespace	pulp::signal

Functions
bool	pulp::signal::cascade_is_stable (std::span< const FilterDesign::Coefficients > sos)
	Returns true if every biquad section's poles lie strictly inside the unit circle (i.e.

Detailed Description

High-order analog-prototype IIR design (Chebyshev Type I, Chebyshev Type II, Elliptic / Cauer) producing biquad cascades (SOS) via the bilinear transform.

Design math runs in double for numerical headroom and emits float coefficients compatible with FilterDesign::Coefficients so the existing biquad infrastructure consumes the output unchanged.

References:

• A. Antoniou, "Digital Signal Processing: Signals, Systems, and Filters", McGraw-Hill, 2005 — analog prototypes and bilinear.
• L. R. Rabiner & B. Gold, "Theory and Application of Digital Signal Processing", Prentice-Hall, 1975.
• Audio EQ Cookbook (Robert Bristow-Johnson) — biquad form.
• S. J. Orfanidis, "Lecture Notes on Elliptic Filter Design" (2006) — analog elliptic prototype via Jacobi sn / cd.
• W. Cody, "Chebyshev approximations for the complete elliptic integrals K and E" (1965) — AGM for K(m).