bw_peak

Second-order peak filter with unitary gain at DC and asymptotically as frequency increases.

The quality factor of the underlying bandpass filter can be either directly controlled via the Q parameter or indirectly through the bandwidth parameter, which designates the distance in octaves between midpoint gain frequencies, i.e., frequencies with gain = peak gain / 2 in dB terms. The use_bandiwdth parameter allows you to choose which parameterization to use.

Version: 1.2.0

License:

GPLv3 for free software/open source projects, or
proprietary license for all other products.

Source code accessible here

Requires:

Included in Brickworks, which is:

FREE for free software/open source projects (GPLv3), or
3,000 € for all other products (proprietary license).

Details

Examples

Here you can download one or more example VST3 plugins for Windows, macOS and Linux. Source code of the audio engine(s) is included in the archive(s).

Description	Link
3-band parametric equalizer	Download

VST® is a trademark of Steinberg Media Technologies GmbH, registered in Europe and other countries.

API

Module type: DSP

bw_peak_coeffs

typedef struct bw_peak_coeffs bw_peak_coeffs;

Coefficients and related.

bw_peak_state

typedef struct bw_peak_state bw_peak_state;

Internal state and related.

bw_peak_init()

static inline void bw_peak_init(
	bw_peak_coeffs * BW_RESTRICT coeffs);

Initializes input parameter values in coeffs.

bw_peak_set_sample_rate()

static inline void bw_peak_set_sample_rate(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        sample_rate);

Sets the sample_rate (Hz) value in coeffs.

bw_peak_reset_coeffs()

static inline void bw_peak_reset_coeffs(
	bw_peak_coeffs * BW_RESTRICT coeffs);

Resets coefficients in coeffs to assume their target values.

bw_peak_reset_state()

static inline float bw_peak_reset_state(
	const bw_peak_coeffs * BW_RESTRICT coeffs,
	bw_peak_state * BW_RESTRICT        state,
	float                              x_0);

Resets the given state to its initial values using the given coeffs and the initial input value x_0.

Returns the corresponding initial output value.

bw_peak_reset_state_multi()

static inline void bw_peak_reset_state_multi(
	const bw_peak_coeffs * BW_RESTRICT              coeffs,
	bw_peak_state * BW_RESTRICT const * BW_RESTRICT state,
	const float *                                   x_0,
	float *                                         y_0,
	size_t                                          n_channels);

Resets each of the n_channels states to its initial values using the given coeffs and the corresponding initial input value in the x_0 array.

The corresponding initial output values are written into the y_0 array, if not BW_NULL.

bw_peak_update_coeffs_ctrl()

static inline void bw_peak_update_coeffs_ctrl(
	bw_peak_coeffs * BW_RESTRICT coeffs);

Triggers control-rate update of coefficients in coeffs.

bw_peak_update_coeffs_audio()

static inline void bw_peak_update_coeffs_audio(
	bw_peak_coeffs * BW_RESTRICT coeffs);

Triggers audio-rate update of coefficients in coeffs.

bw_peak_process1()

static inline float bw_peak_process1(
	const bw_peak_coeffs * BW_RESTRICT coeffs,
	bw_peak_state * BW_RESTRICT        state,
	float                              x);

Processes one input sample x using coeffs, while using and updating state. Returns the corresponding output sample.

bw_peak_process()

static inline void bw_peak_process(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	bw_peak_state * BW_RESTRICT  state,
	const float *                x,
	float *                      y,
	size_t                       n_samples);

Processes the first n_samples of the input buffer x and fills the first n_samples of the output buffer y, while using and updating both coeffs and state (control and audio rate).

bw_peak_process_multi()

static inline void bw_peak_process_multi(
	bw_peak_coeffs * BW_RESTRICT                    coeffs,
	bw_peak_state * BW_RESTRICT const * BW_RESTRICT state,
	const float * const *                           x,
	float * const *                                 y,
	size_t                                          n_channels,
	size_t                                          n_samples);

Processes the first n_samples of the n_channels input buffers x and fills the first n_samples of the n_channels output buffers y, while using and updating both the common coeffs and each of the n_channels states (control and audio rate).

bw_peak_set_cutoff()

static inline void bw_peak_set_cutoff(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the cutoff frequency value (Hz) in coeffs.

Valid range: [1e-6f, 1e12f].

Default value: 1e3f.

bw_peak_set_Q()

static inline void bw_peak_set_Q(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the quality factor to the given value in coeffs.

Valid range: [1e-6f, 1e6f].

Default value: 0.5f.

bw_peak_set_prewarp_at_cutoff()

static inline void bw_peak_set_prewarp_at_cutoff(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	char                         value);

Sets whether bilinear transform prewarping frequency should match the cutoff frequency (non-0) or not (0).

Default value: non-0 (on).

bw_peak_set_prewarp_freq()

static inline void bw_peak_set_prewarp_freq(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the prewarping frequency value (Hz) in coeffs.

Only used when the prewarp_at_cutoff parameter is off and however internally limited to avoid instability.

Valid range: [1e-6f, 1e12f].

Default value: 1e3f.

bw_peak_set_peak_gain_lin()

static inline void bw_peak_set_peak_gain_lin(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the peak gain parameter to the given value (linear gain) in coeffs.

Valid range: [1e-30f, 1e30f].

If actually using the bandwidth parameter to control Q, by the time bw_peak_reset_\*(), bw_peak_update_coeffs_\*(), or bw_peak_process\*() is called, bw_sqrtf(bw_pow2f(bandwidth) * peak_gain) * bw_rcpf(bw_pow2f(bandwidth) - 1.f) must be in [1e-6f, 1e6f].

Default value: 1.f.

bw_peak_set_peak_gain_dB()

static inline void bw_peak_set_peak_gain_dB(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the peak gain parameter to the given value (dB) in coeffs.

Valid range: [-600.f, 600.f].

Default value: 0.f.

bw_peak_set_bandiwdth()

static inline void bw_peak_set_bandwidth(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	float                        value);

Sets the bandwidth value (octaves) in coeffs.

Valid range: [1e-6f, 90.f].

Default value: 2.543106606327224f.

bw_peak_set_use_bandwidth()

static inline void bw_peak_set_use_bandwidth(
	bw_peak_coeffs * BW_RESTRICT coeffs,
	char                         value);

Sets whether the quality factor should be controlled via the bandwidth parameter (value non-0) or via the Q parameter (0).

Default value: non-0 (use bandwidth parameter).

bw_peak_coeffs_is_valid()

static inline char bw_peak_coeffs_is_valid(
	const bw_peak_coeffs * BW_RESTRICT coeffs);

Tries to determine whether coeffs is valid and returns non-0 if it seems to be the case and 0 if it is certainly not. False positives are possible, false negatives are not.

coeffs must at least point to a readable memory block of size greater than or equal to that of bw_peak_coeffs.

bw_peak_state_is_valid()

static inline char bw_peak_state_is_valid(
	const bw_peak_coeffs * BW_RESTRICT coeffs,
	const bw_peak_state * BW_RESTRICT  state);

Tries to determine whether state is valid and returns non-0 if it seems to be the case and 0 if it is certainly not. False positives are possible, false negatives are not.

If coeffs is not BW_NULL extra cross-checks might be performed (state is supposed to be associated to coeffs).

state must at least point to a readable memory block of size greater than or equal to that of bw_peak_state.

C++ wrapper

Brickworks::Peak

template<size_t N_CHANNELS>
class Peak {
public:
	Peak();

	void setSampleRate(
		float sampleRate);

	void reset(
		float               x0 = 0.f,
		float * BW_RESTRICT y0 = nullptr);

# ifndef BW_CXX_NO_ARRAY
	void reset(
		float                                       x0,
		std::array<float, N_CHANNELS> * BW_RESTRICT y0);
# endif

	void reset(
		const float * x0,
		float *       y0 = nullptr);

# ifndef BW_CXX_NO_ARRAY
	void reset(
		std::array<float, N_CHANNELS>               x0,
		std::array<float, N_CHANNELS> * BW_RESTRICT y0 = nullptr);
# endif

	void process(
		const float * const * x,
		float * const *       y,
		size_t                nSamples);

# ifndef BW_CXX_NO_ARRAY
	void process(
		std::array<const float *, N_CHANNELS> x,
		std::array<float *, N_CHANNELS>       y,
		size_t                                nSamples);
# endif

	void setCutoff(
		float value);

	void setQ(
		float value);

	void setPrewarpAtCutoff(
		bool value);

	void setPrewarpFreq(
		float value);

	void setPeakGainLin(
		float value);

	void setPeakGainDB(
		float value);

	void setBandwidth(
		float value);

	void setUseBandwidth(
		bool value);
...
}

Changelog

Version 1.2.0:
- Added support for BW_INCLUDE_WITH_QUOTES, BW_NO_CXX, and BW_CXX_NO_EXTERN_C.
- Enforced limits on bandwidth and peak_gain also in bw_peak_reset_state*() and clarified documentation.
- Added debugging checks from bw_peak_process() to bw_peak_process_multi().
- Added debugging checks in bw_peak_process_multi() to ensure that buffers used for both input and output appear at the same channel indices.
Version 1.1.0:
- Now using BW_NULL and BW_CXX_NO_ARRAY.
- Replaced GCC pragmas to suppress bogus uninitialized variable warnings with useless harmless statement.
Version 1.0.0:
- Added bw_peak_reset_state_multi() and updated C++ API in this regard.
- Now bw_peak_reset_state() returns the initial output value.
- Added overloaded C++ reset() functions taking arrays as arguments.
- Added prewarp_at_cutoff and prewarp_freq parameters.
- bw_peak_process() and bw_peak_process_multi() now use size_t to count samples and channels.
- Added more const and BW_RESTRICT specifiers to input arguments and implementation.
- Moved C++ code to C header.
- Added overloaded C++ process() function taking C-style arrays as arguments.
- Removed usage of reserved identifiers.
- Added pragmas to silence bogus GCC uninitialized variable warnings.
- Clearly specified parameter validity ranges.
- Added debugging code.
Version 0.6.0:
- Removed dependency on bw_config.
Version 0.5.0:
- Added bw_peak_process_multi().
- Fixed documentation for bw_peak_set_peak_gain_lin() and bw_peak_set_gain_dB().
- Added C++ wrapper.
Version 0.4.0:
- Added initial input value to bw_peak_reset_state().
Version 0.3.0:
- First release.