NonNormalizingBiQuadFilterDF1< T > Class Template Reference

#include <Filters/BiQuad.hpp>

Detailed Description

template<class T>
class NonNormalizingBiQuadFilterDF1< T >

BiQuad filter Direct Form 1 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 NormalizingBiQuadFilterDF1, 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 124 of file BiQuad.hpp.

Collaboration diagram for NonNormalizingBiQuadFilterDF1< T >:

Public Member Functions
	NonNormalizingBiQuadFilterDF1 ()=default
	NonNormalizingBiQuadFilterDF1 (const AH::Array< T, 3 > &b, const AH::Array< T, 3 > &a)
	NonNormalizingBiQuadFilterDF1 (const BiQuadCoefficients< T > &coefficients)
	NonNormalizingBiQuadFilterDF1 (const AH::Array< T, 3 > &b, const AH::Array< T, 3 > &a, T gain)
	NonNormalizingBiQuadFilterDF1 (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 > &x, AH::Array< T, 2 > &y, 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 > &x, AH::Array< T, 2 > &y, const AH::Array< T, 3 > &b, const AH::Array< T, 2 > &a, T a0)

Private Attributes
AH::Array< T, 2 >	x = {{}}
	Previous inputs. More...
AH::Array< T, 2 >	y = {{}}
	Previous outputs. 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

NonNormalizingBiQuadFilterDF1() [1/5]

NonNormalizingBiQuadFilterDF1 ( )

default

NonNormalizingBiQuadFilterDF1() [2/5]

NonNormalizingBiQuadFilterDF1 ( const AH::Array< T, 3 > &  b, const AH::Array< T, 3 > &  a  )

inline

Definition at line 128 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF1() [3/5]

NonNormalizingBiQuadFilterDF1 ( const BiQuadCoefficients< T > &  coefficients )

inline

Definition at line 132 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF1() [4/5]

NonNormalizingBiQuadFilterDF1 ( const AH::Array< T, 3 > &  b, const AH::Array< T, 3 > &  a, T  gain  )

inline

Definition at line 135 of file BiQuad.hpp.

NonNormalizingBiQuadFilterDF1() [5/5]

NonNormalizingBiQuadFilterDF1 ( const BiQuadCoefficients< T > &  coefficients, T  gain  )

inline

Definition at line 139 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 > &  x, AH::Array< T, 2 > &  y, const AH::Array< T, 3 > &  b, const AH::Array< T, 2 > &  a, T  a0  )

inlinestatic

Definition at line 145 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 > &  x, AH::Array< T, 2 > &  y, const AH::Array< T, 3 > &  b, const AH::Array< T, 2 > &  a, T  a0  )

inlinestatic

Definition at line 161 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 183 of file BiQuad.hpp.

Member Data Documentation

x

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

private

Previous inputs.

Definition at line 186 of file BiQuad.hpp.

y

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

private

Previous outputs.

Definition at line 187 of file BiQuad.hpp.

b

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

private

Numerator coefficients.

Definition at line 188 of file BiQuad.hpp.

a

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

private

Denominator coefficients.

Definition at line 189 of file BiQuad.hpp.

a0

T a0 = T(1.)

private

First denominator coefficient.

Definition at line 190 of file BiQuad.hpp.

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

• BiQuad.hpp