Finishes fft interface + algorithms
This commit is contained in:
11
src/bfsk.rs
11
src/bfsk.rs
@ -3,7 +3,7 @@
|
||||
use std::f32::consts::PI;
|
||||
|
||||
use crate::complex::{Complex, Complex32};
|
||||
use crate::fft::{self, DFT, windows};
|
||||
use crate::fft::{self, windows};
|
||||
use crate::map;
|
||||
use crate::nco::Nco;
|
||||
|
||||
@ -57,7 +57,7 @@ pub struct BFSKDem {
|
||||
// State
|
||||
sample_index: u32,
|
||||
|
||||
fft: Box<dyn DFT>,
|
||||
//fft: Box<dyn DFT>,
|
||||
}
|
||||
|
||||
impl BFSKDem {
|
||||
@ -66,19 +66,21 @@ impl BFSKDem {
|
||||
samples_per_bit,
|
||||
deviation,
|
||||
sample_index: 0,
|
||||
fft: fft::create_fft(samples_per_bit as usize, fft::FFTDirection::Forward),
|
||||
//fft: fft::create_fft(samples_per_bit as usize, fft::FFTDirection::Forward),
|
||||
}
|
||||
}
|
||||
|
||||
pub fn demod(&mut self, baseband: &[Complex32]) -> bool {
|
||||
assert!(baseband.len() >= self.samples_per_bit as usize);
|
||||
|
||||
/*
|
||||
self.fft
|
||||
.get_input()
|
||||
.iter_mut()
|
||||
.enumerate()
|
||||
.for_each(|(i, x)| *x = baseband[i]);
|
||||
self.fft.execute(windows::rectanguar);
|
||||
*/
|
||||
|
||||
let bin_id = map(
|
||||
self.deviation,
|
||||
@ -91,6 +93,7 @@ impl BFSKDem {
|
||||
|
||||
let bin_width = 5;
|
||||
|
||||
/*
|
||||
let mut positive_energy = 0.0;
|
||||
for i in (bin_id - bin_width)..(bin_id + bin_width) {
|
||||
if i >= 0 && i < self.samples_per_bit as i32 {
|
||||
@ -108,5 +111,7 @@ impl BFSKDem {
|
||||
}
|
||||
|
||||
return positive_energy < negative_energy;
|
||||
*/
|
||||
false
|
||||
}
|
||||
}
|
||||
|
||||
64
src/fft.rs
64
src/fft.rs
@ -12,6 +12,8 @@ use crate::{
|
||||
fft::{dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, radix2::Radix2FFT},
|
||||
};
|
||||
|
||||
pub type FFTWindow = fn(f32) -> f32;
|
||||
|
||||
#[derive(Copy, Clone)]
|
||||
pub enum FFTDirection {
|
||||
Forward,
|
||||
@ -27,19 +29,17 @@ impl FFTDirection {
|
||||
}
|
||||
}
|
||||
|
||||
pub trait DFT {
|
||||
pub trait DFTAlgorithm {
|
||||
fn create(size: usize, direction: FFTDirection) -> Self
|
||||
where
|
||||
Self: Sized;
|
||||
|
||||
fn execute(&mut self, input: &[Complex32], output: &mut [Complex32], window: fn(f32) -> f32);
|
||||
fn execute(&mut self, input: &[Complex32]);
|
||||
|
||||
fn get_output(&self) -> &[Complex32];
|
||||
}
|
||||
|
||||
pub trait DFTWindow {
|
||||
fn eval(t: f32) -> f32;
|
||||
}
|
||||
|
||||
pub fn create_fft(size: usize, direction: FFTDirection) -> Box<dyn DFT> {
|
||||
fn create_fft(size: usize, direction: FFTDirection) -> Box<dyn DFTAlgorithm> {
|
||||
if size <= 16 {
|
||||
//println!("Naive {size}");
|
||||
return Box::new(NaiveDFT::create(size, direction));
|
||||
@ -58,6 +58,56 @@ pub fn create_fft(size: usize, direction: FFTDirection) -> Box<dyn DFT> {
|
||||
Box::new(MixedRadixFFT::create(size, direction))
|
||||
}
|
||||
|
||||
pub struct FFT
|
||||
{
|
||||
fft: Box<dyn DFTAlgorithm>,
|
||||
size: usize,
|
||||
window: FFTWindow,
|
||||
input_buffer: Box<[Complex32]>
|
||||
}
|
||||
|
||||
impl FFT
|
||||
{
|
||||
pub fn new(size: usize, window: FFTWindow) -> FFT
|
||||
{
|
||||
FFT
|
||||
{
|
||||
fft: create_fft(size, FFTDirection::Forward),
|
||||
window,
|
||||
size,
|
||||
input_buffer: vec![Complex32::zero(); size].into(),
|
||||
}
|
||||
}
|
||||
|
||||
pub fn new_inv(size: usize) -> FFT
|
||||
{
|
||||
FFT
|
||||
{
|
||||
fft: create_fft(size, FFTDirection::Inverse),
|
||||
window: windows::rectangular,
|
||||
size,
|
||||
input_buffer: vec![Complex32::zero(); size].into(),
|
||||
}
|
||||
}
|
||||
|
||||
pub fn execute(&mut self, input: &[Complex32])
|
||||
{
|
||||
self.input_buffer.iter_mut().zip(input.iter())
|
||||
.enumerate()
|
||||
.for_each(|(i, (x, y))|
|
||||
{
|
||||
*x = *y * (self.window)(i as f32 / self.size as f32)
|
||||
});
|
||||
|
||||
self.fft.execute(&self.input_buffer);
|
||||
}
|
||||
|
||||
pub fn get_output(&self) -> &[Complex32]
|
||||
{
|
||||
self.fft.get_output()
|
||||
}
|
||||
}
|
||||
|
||||
// Utilities
|
||||
pub fn prime_factors(n: usize) -> Vec<usize> {
|
||||
let mut factors = vec![];
|
||||
|
||||
@ -1,31 +1,36 @@
|
||||
use crate::complex::Complex32;
|
||||
use crate::fft::{DFT, FFTDirection};
|
||||
use crate::fft::{DFTAlgorithm, FFTDirection};
|
||||
use std::f32::consts::PI;
|
||||
|
||||
pub struct NaiveDFT {
|
||||
direction: FFTDirection,
|
||||
size: usize,
|
||||
output: Box<[Complex32]>,
|
||||
}
|
||||
|
||||
impl DFT for NaiveDFT {
|
||||
impl DFTAlgorithm for NaiveDFT {
|
||||
fn create(size: usize, direction: FFTDirection) -> Self
|
||||
where
|
||||
Self: Sized,
|
||||
{
|
||||
NaiveDFT { direction, size }
|
||||
NaiveDFT { direction, size, output: vec![Complex32::zero(); size].into() }
|
||||
}
|
||||
|
||||
fn execute(&mut self, input: &[Complex32], output: &mut [Complex32], window: fn(f32) -> f32) {
|
||||
for (freq, out) in output.iter_mut().enumerate() {
|
||||
fn execute(&mut self, input: &[Complex32]) {
|
||||
for (freq, out) in self.output.iter_mut().enumerate() {
|
||||
*out = Complex32::zero();
|
||||
for (i, inp) in input.iter().enumerate() {
|
||||
*out = *out
|
||||
+ ((*inp
|
||||
+ (*inp
|
||||
* Complex32::cexp(
|
||||
-2. * self.direction.sign() * PI * (i * freq) as f32 / self.size as f32,
|
||||
))
|
||||
* window(i as f32 / self.size as f32));
|
||||
));
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn get_output(&self) -> &[Complex32]
|
||||
{
|
||||
&self.output
|
||||
}
|
||||
}
|
||||
|
||||
@ -4,55 +4,55 @@ use std::f32::consts::PI;
|
||||
|
||||
use crate::{
|
||||
complex::Complex32,
|
||||
fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, prime_factors, windows},
|
||||
fft::{DFTAlgorithm, FFTDirection, create_fft, dft::NaiveDFT, prime_factors, windows},
|
||||
};
|
||||
|
||||
pub struct MixedRadixFFT {
|
||||
size: usize,
|
||||
//size: usize, size is implicitely stored in p and q
|
||||
|
||||
p: usize,
|
||||
q: usize,
|
||||
twiddle_factors: Box<[Complex32]>,
|
||||
|
||||
qfft: Box<dyn DFT>,
|
||||
pfft: Box<dyn DFT>,
|
||||
qfft: Box<dyn DFTAlgorithm>,
|
||||
pfft: Box<dyn DFTAlgorithm>,
|
||||
|
||||
staging_buffer: Box<[Complex32]>,
|
||||
pfft_input: Box<[Complex32]>,
|
||||
output: Box<[Complex32]>
|
||||
}
|
||||
|
||||
impl DFT for MixedRadixFFT {
|
||||
impl DFTAlgorithm for MixedRadixFFT {
|
||||
fn create(size: usize, direction: FFTDirection) -> Self {
|
||||
let q = decide_radix_factor(size);
|
||||
let p = size / q;
|
||||
let qfft = create_fft(q, direction);
|
||||
let pfft = create_fft(p, direction);
|
||||
|
||||
//let qfft = Box::new(NaiveDFT::create(q, direction));
|
||||
//let pfft = Box::new(NaiveDFT::create(p, direction));
|
||||
|
||||
MixedRadixFFT {
|
||||
size,
|
||||
twiddle_factors: compute_twiddle_factors(size, direction),
|
||||
qfft,
|
||||
pfft,
|
||||
|
||||
staging_buffer: vec![Complex32::zero(); size].into_boxed_slice(),
|
||||
pfft_input: vec![Complex32::zero(); p].into_boxed_slice(),
|
||||
output: vec![Complex32::zero(); size].into_boxed_slice(),
|
||||
p,
|
||||
q,
|
||||
}
|
||||
}
|
||||
|
||||
fn execute(&mut self, input: &[Complex32], output: &mut [Complex32], window: fn(f32) -> f32) {
|
||||
fn execute(&mut self, input: &[Complex32]) {
|
||||
// Perform p ffts of size q
|
||||
for k0 in 0..self.p {
|
||||
// Copy samples into input buffer
|
||||
for k1 in 0..self.q {
|
||||
let k = k1 * self.p + k0;
|
||||
self.qfft.get_input()[k1] =
|
||||
self.input_buffer[k] * window(k as f32 / self.size as f32);
|
||||
// Use output as staging buffer
|
||||
self.output[k1] = input[k];
|
||||
}
|
||||
|
||||
self.qfft.execute(windows::rectanguar);
|
||||
self.qfft.execute(&self.output);
|
||||
|
||||
for j0 in 0..self.q {
|
||||
// "Store j0'th of k0'th fft into staging buffer"
|
||||
@ -65,23 +65,21 @@ impl DFT for MixedRadixFFT {
|
||||
for j0 in 0..self.q {
|
||||
// Copy input
|
||||
for k0 in 0..self.p {
|
||||
self.pfft.get_input()[k0] = self.staging_buffer[j0 * self.p + k0];
|
||||
// Use output as staging buffer
|
||||
self.pfft_input[k0] = self.staging_buffer[j0 * self.p + k0];
|
||||
}
|
||||
|
||||
self.pfft.execute(windows::rectanguar);
|
||||
self.pfft.execute(&self.pfft_input);
|
||||
|
||||
// Actually compute final output
|
||||
for j1 in 0..self.p {
|
||||
self.output_buffer[j1 * self.q + j0] = self.pfft.get_output()[j1];
|
||||
self.output[j1 * self.q + j0] = self.pfft.get_output()[j1];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn get_input(&mut self) -> &mut [Complex32] {
|
||||
&mut self.input_buffer
|
||||
}
|
||||
|
||||
fn get_output(&self) -> &[Complex32] {
|
||||
&self.output_buffer
|
||||
&self.output
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
@ -1,82 +1,85 @@
|
||||
// Implementation of raders's fft for prime sized ffts
|
||||
|
||||
use std::{f32::consts::PI, ops::Deref};
|
||||
use std::f32::consts::PI;
|
||||
|
||||
use super::mixed_radix;
|
||||
use crate::{
|
||||
complex::Complex32,
|
||||
fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, is_prime, windows},
|
||||
fft::{create_fft, is_prime , DFTAlgorithm, FFTDirection},
|
||||
};
|
||||
|
||||
pub struct RaderFFT {
|
||||
permutations: Box<[usize]>,
|
||||
convolution_op: Box<[Complex32]>,
|
||||
staging_buffer: Box<[Complex32]>,
|
||||
inv_fft: Box<dyn DFT>,
|
||||
conv_fft: Box<dyn DFT>,
|
||||
convolution_operand: Box<[Complex32]>,
|
||||
|
||||
convolution_ifft: Box<dyn DFTAlgorithm>,
|
||||
convolution_fft: Box<dyn DFTAlgorithm>,
|
||||
|
||||
output: Box<[Complex32]>,
|
||||
|
||||
size: usize,
|
||||
}
|
||||
|
||||
impl DFT for RaderFFT {
|
||||
impl DFTAlgorithm for RaderFFT {
|
||||
fn create(size: usize, direction: FFTDirection) -> Self
|
||||
where
|
||||
Self: Sized,
|
||||
{
|
||||
assert!(is_prime(size));
|
||||
|
||||
// Primitive root and its powers
|
||||
let g = compute_prime_primitive_root(size);
|
||||
let permutations: Box<[usize]> = (0..(size - 1)).map(|i| exp_mod(g, i + 1, size)).collect();
|
||||
|
||||
let mut conv_fft = create_fft(size - 1, FFTDirection::Forward);
|
||||
//let mut conv_fft = create_fft(size - 1);
|
||||
let mut convolution_op = vec![Complex32::zero(); size - 1];
|
||||
let conv_fft_input: Vec<Complex32> = (0..(size - 1))
|
||||
.map(|i| {
|
||||
Complex32::cexp(
|
||||
-2. * direction.sign() * PI * (permutations[i] as f32) / (size as f32),
|
||||
)
|
||||
})
|
||||
.collect();
|
||||
conv_fft.execute(&conv_fft_input, &mut convolution_op, windows::rectangular);
|
||||
// Compute fourrier transform of twiddle factors
|
||||
let mut convolution_fft = create_fft(size - 1, FFTDirection::Forward);
|
||||
let mut convolution_operand = (0..(size - 1))
|
||||
.map(|i| {Complex32::cexp(-2. * direction.sign() * PI * (permutations[i] as f32) / (size as f32))})
|
||||
.collect::<Vec<Complex32>>();
|
||||
convolution_fft.execute(&convolution_operand);
|
||||
convolution_operand = Vec::from(convolution_fft.get_output());
|
||||
|
||||
RaderFFT {
|
||||
permutations,
|
||||
convolution_op: convolution_op.into(),
|
||||
staging_buffer: vec![Complex32::zero(); size - 1].into(),
|
||||
inv_fft: create_fft(size - 1, FFTDirection::Inverse),
|
||||
conv_fft,
|
||||
convolution_operand: convolution_operand.into(),
|
||||
|
||||
convolution_ifft: create_fft(size - 1, FFTDirection::Inverse),
|
||||
convolution_fft,
|
||||
|
||||
output: vec![Complex32::zero(); size].into(),
|
||||
size,
|
||||
}
|
||||
}
|
||||
|
||||
fn execute(&mut self, input: &[Complex32], output: &mut [Complex32], window: fn(f32) -> f32) {
|
||||
fn execute(&mut self, input: &[Complex32]) {
|
||||
// Compute fft of input signal
|
||||
for i in 0..(self.size - 1) {
|
||||
let k = self.permutations[self.size - 1 - i - 1];
|
||||
self.staging_buffer[i] = input[k] * window(k as f32 / (self.size as f32));
|
||||
// Using output as staging buffer
|
||||
self.output[i] = input[k];
|
||||
}
|
||||
|
||||
self.conv_fft
|
||||
.execute(&self.staging_buffer, output, windows::rectangular);
|
||||
self.convolution_fft.execute(&self.output);
|
||||
|
||||
// Compute convolution by multiplying in freq domain
|
||||
for i in 0..(self.size - 1) {
|
||||
self.staging_buffer[i] = output[i] * self.convolution_op[i];
|
||||
// Using output as staging buffer
|
||||
self.output[i] = self.convolution_fft.get_output()[i] * self.convolution_operand[i];
|
||||
}
|
||||
|
||||
self.inv_fft
|
||||
.execute(&self.staging_buffer, output, windows::rectangular);
|
||||
self.convolution_ifft.execute(&self.output);
|
||||
|
||||
self.output[0] = input[0];
|
||||
|
||||
for i in 0..(self.size - 1) {
|
||||
// Actually compute the output
|
||||
let k = self.permutations[i];
|
||||
self.staging_buffer[k - 1] = output[i];
|
||||
self.output[k] = (self.convolution_ifft.get_output()[i] / (self.size - 1) as f32) + input[0];
|
||||
self.output[0] = self.output[0] + input[i + 1];
|
||||
}
|
||||
}
|
||||
|
||||
output[0] = input[0] * window(0.0);
|
||||
for i in 0..(self.size - 1) {
|
||||
output[i + 1] = (self.staging_buffer[i] / (self.size - 1) as f32) + input[0];
|
||||
output[0] = output[0] + (input[i + 1] * window((i + 1) as f32 / self.size as f32));
|
||||
}
|
||||
fn get_output(&self) -> &[Complex32] {
|
||||
&self.output
|
||||
}
|
||||
}
|
||||
|
||||
@ -90,7 +93,7 @@ pub fn compute_prime_primitive_root(n: usize) -> usize {
|
||||
// Find multiplicative order of i
|
||||
let mut val = i;
|
||||
let mut order = 1;
|
||||
for j in 0..n {
|
||||
for _ in 0..n {
|
||||
if val == 1 {
|
||||
break;
|
||||
}
|
||||
|
||||
@ -1,16 +1,17 @@
|
||||
// Cooley-Tukey algorithm
|
||||
|
||||
use crate::complex::Complex32;
|
||||
use crate::fft::{DFT, FFTDirection};
|
||||
use crate::fft::{DFTAlgorithm, FFTDirection};
|
||||
use std::f32::consts::PI;
|
||||
|
||||
pub struct Radix2FFT {
|
||||
direction: FFTDirection,
|
||||
size: usize,
|
||||
length: usize,
|
||||
output: Box<[Complex32]>
|
||||
}
|
||||
|
||||
impl DFT for Radix2FFT {
|
||||
impl DFTAlgorithm for Radix2FFT {
|
||||
// Size as power of two
|
||||
fn create(size: usize, direction: FFTDirection) -> Self {
|
||||
if !is_power_of_two(size) {
|
||||
@ -21,14 +22,15 @@ impl DFT for Radix2FFT {
|
||||
size: size.ilog2() as usize,
|
||||
direction,
|
||||
length: size,
|
||||
output: vec![Complex32::zero(); size].into()
|
||||
}
|
||||
}
|
||||
|
||||
fn execute(&mut self, input: &[Complex32], output: &mut [Complex32], window: fn(f32) -> f32) {
|
||||
fn execute(&mut self, input: &[Complex32]) {
|
||||
// Reorder samples
|
||||
for (i, x) in output.iter_mut().enumerate() {
|
||||
for (i, x) in self.output.iter_mut().enumerate() {
|
||||
let k = reverse_bits(i, self.size as u32);
|
||||
*x = input[k] * window(k as f32 / self.size as f32);
|
||||
*x = input[k];
|
||||
}
|
||||
|
||||
for step in 1..(self.size + 1) {
|
||||
@ -37,16 +39,20 @@ impl DFT for Radix2FFT {
|
||||
for s in (0..(self.length / pol_length)).map(|i| i * pol_length) {
|
||||
for i in 0..mid_point {
|
||||
// Compute current polynomial at each unit root
|
||||
let a = output[s + i];
|
||||
let b = output[s + i + mid_point];
|
||||
let a = self.output[s + i];
|
||||
let b = self.output[s + i + mid_point];
|
||||
let angle = -2. * self.direction.sign() * PI * (i as f32) / (pol_length as f32);
|
||||
let phasor = Complex32::cexp(angle);
|
||||
output[i + s] = a + phasor * b;
|
||||
output[i + s + mid_point] = a - phasor * b;
|
||||
self.output[i + s] = a + phasor * b;
|
||||
self.output[i + s + mid_point] = a - phasor * b;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn get_output(&self) -> &[Complex32] {
|
||||
&self.output
|
||||
}
|
||||
}
|
||||
|
||||
// Utilities
|
||||
|
||||
@ -1,3 +1,5 @@
|
||||
#![allow(dead_code)]
|
||||
|
||||
use std::{
|
||||
f32::consts::PI,
|
||||
fs::File,
|
||||
@ -13,11 +15,11 @@ mod nco;
|
||||
use bfsk::BFSKMod;
|
||||
use complex::Complex;
|
||||
use complex::Complex32;
|
||||
use fft::rader;
|
||||
use nco::Nco;
|
||||
use plotters::prelude::*;
|
||||
use fft::DFTAlgorithm;
|
||||
|
||||
use crate::bfsk::BFSKDem;
|
||||
use crate::{bfsk::BFSKDem, fft::{dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, radix2::Radix2FFT, windows, FFT}};
|
||||
|
||||
// Utilities
|
||||
fn map<T>(input: T, in_min: T, in_max: T, out_min: T, out_max: T) -> T
|
||||
@ -27,6 +29,7 @@ where
|
||||
((input - in_min.clone()) / (in_max - in_min)) * (out_max - out_min.clone()) + out_min
|
||||
}
|
||||
|
||||
|
||||
fn main() {
|
||||
modulate();
|
||||
}
|
||||
|
||||
13
src/nco.rs
13
src/nco.rs
@ -1,6 +1,6 @@
|
||||
// Numerically controlled oscillator
|
||||
|
||||
use crate::complex::Complex;
|
||||
use crate::complex::{Complex, Complex32};
|
||||
use std::f32::consts::PI;
|
||||
use std::ops::{Add, Div, Mul, Sub};
|
||||
|
||||
@ -97,3 +97,14 @@ impl Nco {
|
||||
))
|
||||
}
|
||||
}
|
||||
|
||||
impl Iterator for Nco
|
||||
{
|
||||
type Item = Complex32;
|
||||
|
||||
fn next(&mut self) -> Option<Self::Item> {
|
||||
let val = self.cexp();
|
||||
self.step();
|
||||
Some(val)
|
||||
}
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user