A bit of refactoring in checks, added documentation and examples of ZPKModel
This commit is contained in:
parent
99a8db23b8
commit
c7d2cfc43f
@ -13,6 +13,7 @@ mod seriesbiquad;
|
|||||||
mod zpkmodel;
|
mod zpkmodel;
|
||||||
mod butter;
|
mod butter;
|
||||||
|
|
||||||
|
pub use super::ps::FreqWeightingType;
|
||||||
pub use biquad::Biquad;
|
pub use biquad::Biquad;
|
||||||
pub use biquadbank::BiquadBank;
|
pub use biquadbank::BiquadBank;
|
||||||
pub use dummy::DummyFilter;
|
pub use dummy::DummyFilter;
|
||||||
|
@ -1,13 +1,12 @@
|
|||||||
use std::cmp::{max, min};
|
|
||||||
|
|
||||||
use super::butter::butter_lowpass_roots;
|
use super::butter::butter_lowpass_roots;
|
||||||
|
use super::{Biquad, SeriesBiquad, TransferFunction};
|
||||||
|
use crate::{config::*, ps::FreqWeightingType};
|
||||||
use itertools::{EitherOrBoth, Itertools};
|
use itertools::{EitherOrBoth, Itertools};
|
||||||
use num::{zero, Complex};
|
use num::{zero, Complex};
|
||||||
|
use std::cmp::{max, min};
|
||||||
|
|
||||||
use crate::config::*;
|
/// Reasonable maximum order of Butterworth filters.
|
||||||
|
pub const BUTTER_MAX_ORDER: u32 = 40;
|
||||||
use super::{Biquad, SeriesBiquad, TransferFunction};
|
|
||||||
|
|
||||||
/// Specification of a filter for a certain type.
|
/// Specification of a filter for a certain type.
|
||||||
///
|
///
|
||||||
/// The order corresponds to the rolloff in dB/decade. order=1 means 20
|
/// The order corresponds to the rolloff in dB/decade. order=1 means 20
|
||||||
@ -48,10 +47,15 @@ pub enum FilterSpec {
|
|||||||
/// to generate analog filters of standard type, i.e. bandpass, lowpass and
|
/// to generate analog filters of standard type, i.e. bandpass, lowpass and
|
||||||
/// highpass. These can subsequentially be used to generate a digital filter.
|
/// highpass. These can subsequentially be used to generate a digital filter.
|
||||||
///
|
///
|
||||||
/// # Example
|
///
|
||||||
|
/// # Example: Create a digital second order Butterworth bandpass filter
|
||||||
///
|
///
|
||||||
/// ```rust
|
/// ```rust
|
||||||
/// use lasprs::filter::{FilterSpec, ZPKModel};
|
/// use lasprs::filter::{FilterSpec, ZPKModel};
|
||||||
|
/// let fs = 48000.;
|
||||||
|
///
|
||||||
|
/// let butter = ZPKModel::butter(FilterSpec::Bandpass{fl: 10., fu: 100., order: 2});
|
||||||
|
/// let mut filt = butter.bilinear(fs);
|
||||||
///
|
///
|
||||||
/// ```
|
/// ```
|
||||||
///
|
///
|
||||||
@ -230,8 +234,12 @@ impl ZPKModel {
|
|||||||
ZPKModel { z, p, k, fwarp }
|
ZPKModel { z, p, k, fwarp }
|
||||||
}
|
}
|
||||||
|
|
||||||
// Set critical frequency in filter
|
/// Set critical frequency in filter, used for bilinear transform.
|
||||||
fn setWarpFreq(mut self, fcrit: Flt) -> ZPKModel {
|
///
|
||||||
|
/// # Args
|
||||||
|
///
|
||||||
|
/// - `fcrit` - New critical frequency in \[Hz\].
|
||||||
|
pub fn setWarpFreq(mut self, fcrit: Flt) -> ZPKModel {
|
||||||
self.fwarp = Some(fcrit);
|
self.fwarp = Some(fcrit);
|
||||||
self
|
self
|
||||||
}
|
}
|
||||||
@ -346,12 +354,46 @@ impl ZPKModel {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/// Create a Butterworth filter according to a certain specification
|
fn check_spec(spec: FilterSpec) {
|
||||||
pub fn butter(spec: FilterSpec) -> ZPKModel {
|
let check_fc = |fc| assert!(fc > 0., "Cut-off frequency should be > 0");
|
||||||
|
let check_order = |order| {
|
||||||
|
assert!(
|
||||||
|
order > 0 && order <= BUTTER_MAX_ORDER,
|
||||||
|
"Invalid filter order"
|
||||||
|
)
|
||||||
|
};
|
||||||
|
|
||||||
|
match spec {
|
||||||
|
FilterSpec::Lowpass { fc, order } => {
|
||||||
|
check_fc(fc);
|
||||||
|
check_order(order);
|
||||||
|
}
|
||||||
|
FilterSpec::Highpass { fc, order } => {
|
||||||
|
check_fc(fc);
|
||||||
|
check_order(order);
|
||||||
|
}
|
||||||
|
FilterSpec::Bandpass { fl, fu, order } => {
|
||||||
|
assert!(
|
||||||
|
fl <= fu && fl > 0.,
|
||||||
|
"Invalid cut-on and cut-off frequency specified"
|
||||||
|
);
|
||||||
|
check_order(order);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
/// Create a Butterworth filter according to a certain specification in
|
||||||
|
/// `spec`.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// - If specified `order == 0`
|
||||||
|
/// - If order is larger than [BUTTER_MAX_ORDER].
|
||||||
|
/// - If for a bandpass filter `fl>=fu`.
|
||||||
|
/// - If `fl`, or `fu < 0`.
|
||||||
|
pub fn butter(spec: FilterSpec) -> ZPKModel {
|
||||||
|
Self::check_spec(spec);
|
||||||
match spec {
|
match spec {
|
||||||
FilterSpec::Lowpass { fc, order } => {
|
FilterSpec::Lowpass { fc, order } => {
|
||||||
assert!(fc > 0.);
|
|
||||||
assert!(order > 0);
|
|
||||||
let p = butter_lowpass_roots(fc, order as u32).collect();
|
let p = butter_lowpass_roots(fc, order as u32).collect();
|
||||||
let z = vec![];
|
let z = vec![];
|
||||||
ZPKModel {
|
ZPKModel {
|
||||||
@ -365,8 +407,6 @@ impl ZPKModel {
|
|||||||
.setWarpFreq(fc)
|
.setWarpFreq(fc)
|
||||||
}
|
}
|
||||||
FilterSpec::Highpass { fc, order } => {
|
FilterSpec::Highpass { fc, order } => {
|
||||||
assert!(fc > 0.);
|
|
||||||
assert!(order > 0);
|
|
||||||
let p = butter_lowpass_roots(fc, order as u32).collect();
|
let p = butter_lowpass_roots(fc, order as u32).collect();
|
||||||
let z = vec![PoleOrZero::Real1(0.); order as usize];
|
let z = vec![PoleOrZero::Real1(0.); order as usize];
|
||||||
ZPKModel {
|
ZPKModel {
|
||||||
@ -380,8 +420,6 @@ impl ZPKModel {
|
|||||||
.setWarpFreq(fc)
|
.setWarpFreq(fc)
|
||||||
}
|
}
|
||||||
FilterSpec::Bandpass { fl, fu, order } => {
|
FilterSpec::Bandpass { fl, fu, order } => {
|
||||||
assert!(fl <= fu && fl > 0.);
|
|
||||||
assert!(order > 0);
|
|
||||||
let fmid = (fl * fu).sqrt();
|
let fmid = (fl * fu).sqrt();
|
||||||
let Bw_Hz = fu - fl;
|
let Bw_Hz = fu - fl;
|
||||||
let lp = Self::butter(FilterSpec::Lowpass { fc: fmid, order });
|
let lp = Self::butter(FilterSpec::Lowpass { fc: fmid, order });
|
||||||
@ -393,7 +431,8 @@ impl ZPKModel {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
/// Apply bilinear transform to obtain series biquads from this ZPK model.
|
/// Apply bilinear transform to obtain series biquads from this ZPK model.
|
||||||
/// No prewarping taken into account.
|
/// Pre-warping is taken into account, based on settings stored in
|
||||||
|
/// [ZPKModel]. Using [ZPKModel::setWarpFreq], this can be overridden.
|
||||||
///
|
///
|
||||||
/// # Args
|
/// # Args
|
||||||
///
|
///
|
||||||
@ -448,6 +487,87 @@ impl ZPKModel {
|
|||||||
}
|
}
|
||||||
SeriesBiquad::newFromBiqs(biqs)
|
SeriesBiquad::newFromBiqs(biqs)
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// Create analog filter prototype for a frequency weighting as used in
|
||||||
|
/// Sound Level Meters.
|
||||||
|
///
|
||||||
|
/// # Args
|
||||||
|
///
|
||||||
|
/// - `wt` - `[FreqWeightingType]` to use. i.e. A-weighting.
|
||||||
|
///
|
||||||
|
/// # Examples
|
||||||
|
///
|
||||||
|
/// ## Get part of pulse response of digital A-filter at 48 kHz
|
||||||
|
///
|
||||||
|
/// ```
|
||||||
|
/// use lasprs::filter::{ZPKModel, FreqWeightingType, Filter};
|
||||||
|
///
|
||||||
|
/// // Sampling frequency in Hz
|
||||||
|
/// let fs = 48000.;
|
||||||
|
///
|
||||||
|
/// let mut afilter = ZPKModel::freqWeightingFilter(FreqWeightingType::A).bilinear(fs);
|
||||||
|
/// let mut data = [0.; 1000];
|
||||||
|
/// data[0] = 1.0;
|
||||||
|
/// let out = afilter.filter(&data);
|
||||||
|
/// ```
|
||||||
|
///
|
||||||
|
pub fn freqWeightingFilter(wt: FreqWeightingType) -> ZPKModel {
|
||||||
|
if let FreqWeightingType::Z = wt {
|
||||||
|
return ZPKModel {
|
||||||
|
z: vec![],
|
||||||
|
p: vec![],
|
||||||
|
k: 1.0,
|
||||||
|
fwarp: None,
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|
||||||
|
let fr: Flt = 1000.;
|
||||||
|
let fL: Flt = num::Float::powf(10., 1.5);
|
||||||
|
let fH: Flt = num::Float::powf(10., 3.9);
|
||||||
|
|
||||||
|
let sq5: Flt = num::Float::powf(5., 0.5);
|
||||||
|
|
||||||
|
let fLsq = fL.powi(2);
|
||||||
|
let fHsq: Flt = fH.powi(2);
|
||||||
|
let frsq: Flt = fr.powi(2);
|
||||||
|
let fA = num::Float::powf(10., 2.45);
|
||||||
|
let D = num::Float::powf(2., 0.5);
|
||||||
|
|
||||||
|
let b = (1. / (1. - D)) * (frsq + fLsq * fHsq / frsq - D * (fLsq + fHsq));
|
||||||
|
let c = fLsq * fHsq;
|
||||||
|
let f2 = (3. - sq5) / 2. * fA;
|
||||||
|
let f3 = (3. + sq5) / 2. * fA;
|
||||||
|
|
||||||
|
let f1 = ((-b - (b.powi(2) - 4. * c).sqrt()) / 2.).sqrt();
|
||||||
|
let f4 = ((-b + (b.powi(2) - 4. * c).sqrt()) / 2.).sqrt();
|
||||||
|
|
||||||
|
let p1 = 2. * pi * f1;
|
||||||
|
let p2 = 2. * pi * f2;
|
||||||
|
let p3 = 2. * pi * f3;
|
||||||
|
let p4 = 2. * pi * f4;
|
||||||
|
|
||||||
|
let (zeros, poles) = match wt {
|
||||||
|
FreqWeightingType::Z => {
|
||||||
|
unreachable!()
|
||||||
|
}
|
||||||
|
FreqWeightingType::C => {
|
||||||
|
let zeros = vec![PoleOrZero::Real2(0., 0.)];
|
||||||
|
let poles = vec![PoleOrZero::Real2(-p1, -p1), PoleOrZero::Real2(-p4, -p4)];
|
||||||
|
(zeros, poles)
|
||||||
|
}
|
||||||
|
FreqWeightingType::A => {
|
||||||
|
let poles = vec![
|
||||||
|
PoleOrZero::Real2(-p1, -p1),
|
||||||
|
PoleOrZero::Real2(-p2, -p3),
|
||||||
|
PoleOrZero::Real2(-p4, -p4),
|
||||||
|
];
|
||||||
|
let zeros = vec![PoleOrZero::Real2(0., 0.), PoleOrZero::Real2(0., 0.)];
|
||||||
|
(zeros, poles)
|
||||||
|
}
|
||||||
|
};
|
||||||
|
|
||||||
|
ZPKModel::new(zeros, poles, 1.0).setGainAt(1000., 1.0)
|
||||||
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/// Enumeration describing a pole or zero, a complex conjugate pair, a single
|
/// Enumeration describing a pole or zero, a complex conjugate pair, a single
|
||||||
|
11
src/lib.rs
11
src/lib.rs
@ -6,11 +6,12 @@
|
|||||||
//!
|
//!
|
||||||
//! You will find the following stuff in this crate:
|
//! You will find the following stuff in this crate:
|
||||||
//!
|
//!
|
||||||
//! - Data acquisition, recording, signal generation
|
//! - Data acquisition, recording, signal generation: [daq].
|
||||||
//! - Power spectra estimation, transfer function estimation tools.
|
//! - Power spectra estimation, transfer function estimation tools: [ps].
|
||||||
//! - Sound Level Meter implementation.
|
//! - Sound Level Meter implementation: [slm].
|
||||||
//! - Filter design tools, maybe borrowed from other crates?
|
//! - Filter design tools. I.e. [filter::ZPKModel::butter].
|
||||||
//! - Tools for real time displaying of sensor data
|
//! - Includes bilinear transforms
|
||||||
|
//! - Tools for real time displaying of sensor data: [rt].
|
||||||
//!
|
//!
|
||||||
//! ## Note to potential users
|
//! ## Note to potential users
|
||||||
//!
|
//!
|
||||||
|
@ -1,9 +1,3 @@
|
|||||||
use crate::config::{pi, Flt};
|
|
||||||
use crate::filter::{Filter, PoleOrZero, SeriesBiquad, TransferFunction, ZPKModel};
|
|
||||||
use num::Float;
|
|
||||||
use std::default;
|
|
||||||
use std::ops::Deref;
|
|
||||||
|
|
||||||
use strum_macros::{Display, EnumMessage};
|
use strum_macros::{Display, EnumMessage};
|
||||||
/// Sound level frequency weighting type (A, C, Z)
|
/// Sound level frequency weighting type (A, C, Z)
|
||||||
#[derive(Display, Debug, EnumMessage, Default, Clone)]
|
#[derive(Display, Debug, EnumMessage, Default, Clone)]
|
||||||
@ -16,78 +10,6 @@ pub enum FreqWeightingType {
|
|||||||
#[default]
|
#[default]
|
||||||
Z,
|
Z,
|
||||||
}
|
}
|
||||||
|
|
||||||
struct FreqWeightingFilter {
|
|
||||||
// The calculated filter for this frequency weighting
|
|
||||||
filter: SeriesBiquad,
|
|
||||||
}
|
|
||||||
impl Deref for FreqWeightingFilter {
|
|
||||||
type Target = SeriesBiquad;
|
|
||||||
fn deref(&self) -> &Self::Target {
|
|
||||||
&self.filter
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
impl FreqWeightingFilter {
|
|
||||||
pub fn new(fs: Flt, wt: FreqWeightingType) -> FreqWeightingFilter {
|
|
||||||
if let FreqWeightingType::Z = wt {
|
|
||||||
return FreqWeightingFilter {
|
|
||||||
filter: SeriesBiquad::unit(),
|
|
||||||
};
|
|
||||||
}
|
|
||||||
let fr: Flt = 1000.;
|
|
||||||
let fL: Flt = Float::powf(10., 1.5);
|
|
||||||
let fH: Flt = Float::powf(10., 3.9);
|
|
||||||
|
|
||||||
let sq5: Flt = Float::powf(5., 0.5);
|
|
||||||
|
|
||||||
let fLsq = fL.powi(2);
|
|
||||||
let fHsq: Flt = fH.powi(2);
|
|
||||||
let frsq: Flt = fr.powi(2);
|
|
||||||
let fA = Float::powf(10., 2.45);
|
|
||||||
let D = Float::powf(2., 0.5);
|
|
||||||
|
|
||||||
let b = (1. / (1. - D)) * (frsq + fLsq * fHsq / frsq - D * (fLsq + fHsq));
|
|
||||||
let c = fLsq * fHsq;
|
|
||||||
let f2 = (3. - sq5) / 2. * fA;
|
|
||||||
let f3 = (3. + sq5) / 2. * fA;
|
|
||||||
|
|
||||||
let f1 = ((-b - (b.powi(2) - 4. * c).sqrt()) / 2.).sqrt();
|
|
||||||
let f4 = ((-b + (b.powi(2) - 4. * c).sqrt()) / 2.).sqrt();
|
|
||||||
|
|
||||||
let p1 = 2. * pi * f1;
|
|
||||||
let p2 = 2. * pi * f2;
|
|
||||||
let p3 = 2. * pi * f3;
|
|
||||||
let p4 = 2. * pi * f4;
|
|
||||||
|
|
||||||
let (zeros, poles) = match wt {
|
|
||||||
FreqWeightingType::Z => {
|
|
||||||
unreachable!()
|
|
||||||
}
|
|
||||||
FreqWeightingType::C => {
|
|
||||||
let zeros = vec![PoleOrZero::Real2(0., 0.)];
|
|
||||||
let poles = vec![PoleOrZero::Real2(-p1, -p1), PoleOrZero::Real2(-p4, -p4)];
|
|
||||||
(zeros, poles)
|
|
||||||
}
|
|
||||||
FreqWeightingType::A => {
|
|
||||||
let poles = vec![
|
|
||||||
PoleOrZero::Real2(-p1, -p1),
|
|
||||||
PoleOrZero::Real2(-p2, -p3),
|
|
||||||
PoleOrZero::Real2(-p4, -p4),
|
|
||||||
];
|
|
||||||
let zeros = vec![PoleOrZero::Real2(0., 0.), PoleOrZero::Real2(0., 0.)];
|
|
||||||
(zeros, poles)
|
|
||||||
}
|
|
||||||
};
|
|
||||||
|
|
||||||
return FreqWeightingFilter {
|
|
||||||
filter: ZPKModel::new(zeros, poles, 1.0)
|
|
||||||
.setGainAt(1000., 1.0)
|
|
||||||
.bilinear(fs),
|
|
||||||
};
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
#[cfg(test)]
|
#[cfg(test)]
|
||||||
mod test {
|
mod test {
|
||||||
use super::*;
|
use super::*;
|
||||||
|
Loading…
Reference in New Issue
Block a user