rack::dsp::IIRFilter< B_ORDER, A_ORDER, T > Struct Template Reference

Digital IIR filter processor. More...

#include <filter.hpp>

Inheritance diagram for rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >:

Public Member Functions
	IIRFilter ()
void	reset ()
void	setCoefficients (const T *b, const T *a)
T	process (T in)
std::complex< T >	getTransferFunction (T s)
	Computes the complex transfer function $H(s)$ at a particular frequency s: normalized angular frequency equal to $2 \pi f / f_{sr}$ ($\pi$ is the Nyquist frequency)
T	getFrequencyResponse (T f)
T	getFrequencyPhase (T f)

Public Attributes
T	b [B_ORDER] = {}
	transfer function numerator coefficients: b_0, b_1, etc.
T	a [A_ORDER - 1] = {}
	transfer function denominator coefficients: a_1, a_2, etc.
T	x [B_ORDER - 1]
	input state x[0] = x_{n-1} x[1] = x_{n-2} etc.
T	y [A_ORDER - 1]
	output state

Detailed Description

template<int B_ORDER, int A_ORDER, typename T = float>
struct rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >

Digital IIR filter processor.

https://en.wikipedia.org/wiki/Infinite_impulse_response

Constructor & Destructor Documentation

IIRFilter()

template<int B_ORDER, int A_ORDER, typename T = float>

rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::IIRFilter ( )

inline

Member Function Documentation

reset()

template<int B_ORDER, int A_ORDER, typename T = float>

void rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::reset ( )

inline

setCoefficients()

template<int B_ORDER, int A_ORDER, typename T = float>

void rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::setCoefficients ( const T * b, const T * a )

inline

process()

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::process ( T in )

inline

getTransferFunction()

template<int B_ORDER, int A_ORDER, typename T = float>

std::complex< T > rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::getTransferFunction ( T s )

inline

Computes the complex transfer function $H(s)$ at a particular frequency s: normalized angular frequency equal to $2 \pi f / f_{sr}$ ($\pi$ is the Nyquist frequency)

getFrequencyResponse()

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::getFrequencyResponse ( T f )

inline

getFrequencyPhase()

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::getFrequencyPhase ( T f )

inline

Member Data Documentation

b

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::b[B_ORDER] = {}

transfer function numerator coefficients: b_0, b_1, etc.

a

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::a[A_ORDER - 1] = {}

transfer function denominator coefficients: a_1, a_2, etc.

a_0 is fixed to 1 and omitted from the a array, so its indices are shifted down by 1.

x

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::x[B_ORDER - 1]

input state x[0] = x_{n-1} x[1] = x_{n-2} etc.

y

template<int B_ORDER, int A_ORDER, typename T = float>

T rack::dsp::IIRFilter< B_ORDER, A_ORDER, T >::y[A_ORDER - 1]

output state

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The documentation for this struct was generated from the following file:

• /home/vortico/src/vcv/Rack2/include/dsp/filter.hpp