NonNormalizingBiQuadFilterDF2< T > Class Template Reference

#include <Filters/BiQuad.hpp>

Detailed Description

template<class T>
class NonNormalizingBiQuadFilterDF2< T >

BiQuad filter Direct Form 2 implementation that does not normalize the coefficients upon initialization, the division by \( a_0 \) is carried out on each filter iteration.

This class is slower than NormalizingBiQuadFilterDF2, but it works better for integer types, because it has no rounding error on the coefficients.

Implements the following difference equation:

\[ y[n] = \frac{b_0 \cdot x[n] + b_1 \cdot x[n-1] + b_2 \cdot x[n-2] - a_1 \cdot y[n-1] - a_2 \cdot y[n-2]}{a_0} \]

Definition at line 391 of file BiQuad.hpp.

Collaboration diagram for NonNormalizingBiQuadFilterDF2< T >:

Public Member Functions
	NonNormalizingBiQuadFilterDF2 ()=default
	NonNormalizingBiQuadFilterDF2 (const AH::Array< T, 3 > &b, const AH::Array< T, 3 > &a)
	NonNormalizingBiQuadFilterDF2 (const BiQuadCoefficients< T > &coefficients)
	NonNormalizingBiQuadFilterDF2 (const AH::Array< T, 3 > &b, const AH::Array< T, 3 > &a, T gain)
	NonNormalizingBiQuadFilterDF2 (const BiQuadCoefficients< T > &coefficients, T gain)
T	operator() (T input)
	Update the internal state with the new input \( x[n] \) and return the new output \( y[n] \). More...

Static Public Member Functions
template<bool Enable = true>
static std::enable_if_t< std::is_floating_point< T >::value &&Enable, T >	update (T input, AH::Array< T, 2 > &w, const AH::Array< T, 3 > &b, const AH::Array< T, 2 > &a, T a0)
template<bool Enable = true>
static std::enable_if_t<!std::is_floating_point< T >::value &&Enable, T >	update (T input, AH::Array< T, 2 > &w, const AH::Array< T, 3 > &b, const AH::Array< T, 2 > &a, T a0)

Private Attributes
AH::Array< T, 2 >	w = {{}}
	Internal state. More...
AH::Array< T, 3 >	b = {{}}
	Numerator coefficients. More...
AH::Array< T, 2 >	a = {{}}
	Denominator coefficients. More...
T	a0 = T(1.)
	First denominator coefficient. More...

Constructor & Destructor Documentation

NonNormalizingBiQuadFilterDF2() [1/5]

NonNormalizingBiQuadFilterDF2 ( )

default

NonNormalizingBiQuadFilterDF2() [2/5]

NonNormalizingBiQuadFilterDF2 ( const AH::Array< T, 3 > &  b, const AH::Array< T, 3 > &  a  )

inline

Definition at line 395 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF2() [3/5]

NonNormalizingBiQuadFilterDF2 ( const BiQuadCoefficients< T > &  coefficients )

inline

Definition at line 399 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF2() [4/5]

NonNormalizingBiQuadFilterDF2 ( const AH::Array< T, 3 > &  b, const AH::Array< T, 3 > &  a, T  gain  )

inline

Definition at line 402 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF2() [5/5]

NonNormalizingBiQuadFilterDF2 ( const BiQuadCoefficients< T > &  coefficients, T  gain  )

inline

Definition at line 406 of file BiQuad.hpp.

Member Function Documentation

update() [1/2]

static std::enable_if_t< std::is_floating_point< T >::value &&Enable, T > update ( T  input, AH::Array< T, 2 > &  w, const AH::Array< T, 3 > &  b, const AH::Array< T, 2 > &  a, T  a0  )

inlinestatic

Definition at line 412 of file BiQuad.hpp.

update() [2/2]

static std::enable_if_t<!std::is_floating_point< T >::value &&Enable, T > update ( T  input, AH::Array< T, 2 > &  w, const AH::Array< T, 3 > &  b, const AH::Array< T, 2 > &  a, T  a0  )

inlinestatic

Definition at line 427 of file BiQuad.hpp.

operator()()

T operator() ( T  input )

inline

Update the internal state with the new input \( x[n] \) and return the new output \( y[n] \).

Parameters

input

The new input \( x[n] \).

Returns

The new output \( y[n] \).

Definition at line 448 of file BiQuad.hpp.

Member Data Documentation

w

AH::Array<T, 2> w = {{}}

private

Internal state.

Definition at line 451 of file BiQuad.hpp.

b

AH::Array<T, 3> b = {{}}

private

Numerator coefficients.

Definition at line 452 of file BiQuad.hpp.

a

AH::Array<T, 2> a = {{}}

private

Denominator coefficients.

Definition at line 453 of file BiQuad.hpp.

a0

T a0 = T(1.)

private

First denominator coefficient.

Definition at line 454 of file BiQuad.hpp.

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

• BiQuad.hpp