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Iterator, { - pub fn new(samples_per_bit: u32, bandwidth: f32, bit_stream: &'a mut T) -> Self { + pub fn new(samples_per_bit: u32, deviation: f32, bit_stream: &'a mut T) -> Self { BFSKMod { samples_per_bit, - bandwidth, + deviation, oscillator: Nco::new(0.0), bit_stream, sample_index: samples_per_bit, @@ -37,9 +37,9 @@ where let bit = self.bit_stream.next()?; let frequency = if bit { - self.bandwidth / 2.0 + self.deviation } else { - -self.bandwidth / 2.0 + -self.deviation }; self.oscillator.set_frequency(frequency); } @@ -56,62 +56,36 @@ pub struct BFSKDem { deviation: f32, // State sample_index: u32, + fft: FFT, - //fft: Box, + bin_pos: usize, + bin_neg: usize, } impl BFSKDem { pub fn new(samples_per_bit: u32, deviation: f32) -> Self { + // Calculate bin locations : + let bin_index = map(deviation, 0., 2. * PI, 0., samples_per_bit as f32).floor() as u32; + + println!("bin_index: {bin_index}"); + BFSKDem { samples_per_bit, deviation, sample_index: 0, - //fft: fft::create_fft(samples_per_bit as usize, fft::FFTDirection::Forward), + fft: FFT::new(samples_per_bit as usize, windows::rectangular), + bin_pos: bin_index as usize, + bin_neg: (samples_per_bit - bin_index - 1) as usize, // -deviation = negative frequency = upper half } } pub fn demod(&mut self, baseband: &[Complex32]) -> bool { assert!(baseband.len() >= self.samples_per_bit as usize); + self.fft.execute(baseband); - /* - self.fft - .get_input() - .iter_mut() - .enumerate() - .for_each(|(i, x)| *x = baseband[i]); - self.fft.execute(windows::rectanguar); - */ + let positive_energy = self.fft.get_output()[self.bin_pos]; + let negative_energy = self.fft.get_output()[self.bin_neg]; - let bin_id = map( - self.deviation, - 0., - PI, - 0., - (self.samples_per_bit / 2) as f32, - ) - .floor() as i32; - - 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 { - positive_energy += self.fft.get_output()[i as usize].mag(); - } - } - - let mut negative_energy = 0.0; - for i in (self.samples_per_bit as i32 - bin_id - bin_width) - ..(self.samples_per_bit as i32 - bin_id + bin_width) - { - if i >= 0 && i < self.samples_per_bit as i32 { - negative_energy += self.fft.get_output()[i as usize].mag(); - } - } - - return positive_energy < negative_energy; - */ - false + positive_energy.mag() < negative_energy.mag() } } diff --git a/src/fft.rs b/src/fft.rs index b9aa676..05a61a6 100644 --- a/src/fft.rs +++ b/src/fft.rs @@ -39,23 +39,25 @@ pub trait DFTAlgorithm { fn get_output(&self) -> &[Complex32]; } -fn create_fft(size: usize, direction: FFTDirection) -> Box { +pub fn create_fft(size: usize, direction: FFTDirection) -> Box { if size <= 16 { - //println!("Naive {size}"); + println!("Naive {size}"); return Box::new(NaiveDFT::create(size, direction)); } if size.count_ones() == 1 { - //println!("Radix 2 {size}"); + println!("Radix 2 {size}"); return Box::new(Radix2FFT::create(size, direction)); } if is_prime(size) { - //println!("Prime rader {size}"); + println!("Prime rader {size}"); return Box::new(RaderFFT::create(size, direction)); + //return Box::new(NaiveDFT::create(size, direction)); } - //println!("Mixed radix {size}"); + println!("Mixed radix {size}"); Box::new(MixedRadixFFT::create(size, direction)) + //Box::new(NaiveDFT::create(size, direction)) } pub struct FFT diff --git a/src/fft/mixed_radix.rs b/src/fft/mixed_radix.rs index dc42f13..0a32953 100644 --- a/src/fft/mixed_radix.rs +++ b/src/fft/mixed_radix.rs @@ -29,6 +29,9 @@ impl DFTAlgorithm for MixedRadixFFT { 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 { twiddle_factors: compute_twiddle_factors(size, direction), qfft, diff --git a/src/fft/rader.rs b/src/fft/rader.rs index e6bce41..e906fe9 100644 --- a/src/fft/rader.rs +++ b/src/fft/rader.rs @@ -4,7 +4,7 @@ use std::f32::consts::PI; use crate::{ complex::Complex32, - fft::{create_fft, is_prime , DFTAlgorithm, FFTDirection}, + fft::{create_fft, dft::NaiveDFT, is_prime, DFTAlgorithm, FFTDirection}, }; pub struct RaderFFT { @@ -31,7 +31,8 @@ impl DFTAlgorithm for RaderFFT { let permutations: Box<[usize]> = (0..(size - 1)).map(|i| exp_mod(g, i + 1, size)).collect(); // Compute fourrier transform of twiddle factors - let mut convolution_fft = create_fft(size - 1, FFTDirection::Forward); + //let mut convolution_fft = create_fft(size - 1, FFTDirection::Forward); + let mut convolution_fft = Box::new(NaiveDFT::create(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::>(); @@ -42,7 +43,8 @@ impl DFTAlgorithm for RaderFFT { permutations, convolution_operand: convolution_operand.into(), - convolution_ifft: create_fft(size - 1, FFTDirection::Inverse), + //convolution_ifft: create_fft(size - 1, FFTDirection::Inverse), + convolution_ifft: Box::new(NaiveDFT::create(size - 1, FFTDirection::Inverse)), convolution_fft, output: vec![Complex32::zero(); size].into(), diff --git a/src/fft/rader2.rs b/src/fft/rader2.rs index 6d14b6e..fbcd9d0 100644 --- a/src/fft/rader2.rs +++ b/src/fft/rader2.rs @@ -1,118 +1,91 @@ // Implementation of raders's fft for prime sized ffts - /* -use std::{f32::consts::PI, ops::Deref}; -use super::mixed_radix; +use std::f32::consts::PI; + use crate::{ complex::Complex32, - fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, is_prime, windows}, + fft::{create_fft, dft::NaiveDFT, is_prime, DFTAlgorithm, FFTDirection}, }; -pub struct Rader2FFT { - input_buffer: Box<[Complex32]>, - output_buffer: Box<[Complex32]>, +pub struct RaderFFT { + permutations: Box<[usize]>, + convolution_operand: Box<[Complex32]>, + + convolution_ifft: Box, + convolution_fft: Box, + + output: Box<[Complex32]>, size: usize, - sub_size: usize, - - // Fourrier transform of the exponential terms - convolution_operand: Box<[Complex32]>, - convolution_fft: Box, // TODO: Use fft - permutation: Box<[usize]>, } -impl DFT for Rader2FFT { +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 permutation: Box<[usize]> = (0..(size - 1)).map(|i| exp_mod(g, i + 1, size)).collect(); - let sub_size = next_pow2((2 * size - 4) - 1); - Rader2FFT { - input_buffer: vec![Complex32::zero(); size].into_boxed_slice(), - output_buffer: vec![Complex32::zero(); sub_size].into_boxed_slice(), + let permutations: Box<[usize]> = (0..(size - 1)).map(|i| exp_mod(g, i + 1, size)).collect(); + // Compute fourrier transform of twiddle factors + let mut convolution_fft = create_fft(size - 1, FFTDirection::Forward); + //let mut convolution_fft = Box::new(NaiveDFT::create(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::>(); + convolution_fft.execute(&convolution_operand); + convolution_operand = Vec::from(convolution_fft.get_output()); + + RaderFFT { + permutations, + convolution_operand: convolution_operand.into(), + + convolution_ifft: create_fft(size - 1, FFTDirection::Inverse), + //convolution_ifft: Box::new(NaiveDFT::create(size - 1, FFTDirection::Inverse)), + convolution_fft, + + output: vec![Complex32::zero(); size].into(), size, - sub_size, - - convolution_operand: compute_convolution_operand(size, sub_size, &permutation), - //convolution_fft: create_fft(next_pow2((2 * size - 4) - 1)), - convolution_fft: Box::new(NaiveDFT::create(sub_size)), - permutation, } } - fn execute(&mut self, window: fn(f32) -> f32) { - self.convolution_fft.get_input()[0] = self.input_buffer[self.permutation[self.size - 2]]; - - for i in 0..(self.sub_size - self.size + 1) { - self.convolution_fft.get_input()[i + 1] = Complex32::zero(); - } - for i in 1..(self.size - 1) { - let k = self.permutation[self.size - 1 - i - 1]; - self.convolution_fft.get_input()[i + self.sub_size - self.size + 1] = - self.input_buffer[k] * window(k as f32 / self.size as 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]; + // Using output as staging buffer + self.output[i] = input[k]; } - self.convolution_fft.execute(windows::rectanguar); + self.convolution_fft.execute(&self.output); - // Use output buffer as staging buffer - for i in 0..(self.sub_size) { - self.output_buffer[i] = - self.convolution_fft.get_output()[i] * self.convolution_operand[i]; + // Compute convolution by multiplying in freq domain + for i in 0..(self.size - 1) { + // Using output as staging buffer + self.output[i] = self.convolution_fft.get_output()[i] * self.convolution_operand[i]; } - for i in 0..(self.sub_size) { - self.convolution_fft.get_input()[i] = self.output_buffer[i]; - } - /* - self.convolution_fft.get_input()[0] = - self.convolution_fft.get_input()[0] + self.input_buffer[0] * window(0.); - */ + self.convolution_ifft.execute(&self.output); - // Compute ifft to obtain convolution - self.convolution_fft.execute(window); + self.output[0] = input[0]; for i in 0..(self.size - 1) { - self.output_buffer[self.permutation[i]] = - self.convolution_fft.get_output()[i] / self.sub_size as f32; + // Actually compute the output + let k = self.permutations[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]; } - - self.output_buffer[0] = self - .input_buffer - .iter() - .copied() - .enumerate() - .map(|(i, x)| x * window(i as f32 / self.size as f32)) - .sum(); - } - - fn get_input(&mut self) -> &mut [Complex32] { - &mut self.input_buffer } fn get_output(&self) -> &[Complex32] { - &self.output_buffer + &self.output } } -pub fn compute_convolution_operand( - n: usize, - sub_size: usize, - permutation: &[usize], -) -> Box<[Complex32]> { - //let mut fft = create_fft(sub_size); - let mut fft = NaiveDFT::create(sub_size); - - fft.get_input().iter_mut().enumerate().for_each(|(i, x)| { - *x = Complex32::cexp(-2. * PI * (permutation[i % (n - 1)] as f32) / (n as f32)) - }); - fft.execute(windows::rectanguar); - fft.get_output().iter().copied().collect() -} - pub fn compute_prime_primitive_root(n: usize) -> usize { assert!(is_prime(n)); @@ -123,7 +96,7 @@ 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; } @@ -158,12 +131,4 @@ pub fn exp_mod(mut n: usize, mut exp: usize, m: usize) -> usize { r } -pub fn next_pow2(mut n: usize) -> usize { - let mut pow = 0; - while n > 0 { - n >>= 1; - pow += 1; - } - 1 << pow -} */ diff --git a/src/main.rs b/src/main.rs index 4d8e985..617385f 100644 --- a/src/main.rs +++ b/src/main.rs @@ -19,7 +19,7 @@ use nco::Nco; use plotters::prelude::*; use fft::DFTAlgorithm; -use crate::{bfsk::BFSKDem, fft::{dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, radix2::Radix2FFT, windows, FFT}}; +use crate::{bfsk::BFSKDem, fft::{create_fft, dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, radix2::Radix2FFT, windows, FFTDirection, FFT}}; // Utilities fn map(input: T, in_min: T, in_max: T, out_min: T, out_max: T) -> T @@ -29,15 +29,46 @@ where ((input - in_min.clone()) / (in_max - in_min)) * (out_max - out_min.clone()) + out_min } - fn main() { - modulate(); + //modulate(); + test(); +} + +fn test() +{ + let mut o1 = Nco::new(PI / 2.0); + let mut o2 = Nco::new(PI / 4.0); + let sample_count = 4800; + //let mut fft = FFT::new(sample_count, windows::rectangular); + let mut dft = NaiveDFT::create(sample_count, FFTDirection::Forward); + let mut fft = FFT::new(sample_count, windows::rectangular); + //let mut fft = RaderFFT::create(sample_count, FFTDirection::Forward); + let mut fft_input = vec![Complex32::zero(); sample_count]; + + for x in fft_input.iter_mut() + { + *x = o1.cexp() + o2.cexp(); + o1.step(); + o2.step(); + } + + fft.execute(&fft_input); + dft.execute(&fft_input); + + let mut out_file = File::create("out.csv").unwrap(); + for (x, y) in fft.get_output().iter().zip(dft.get_output()) + { + out_file.write_all( + format!("{},{},\n", x.mag(), y.mag()).as_bytes() + ).unwrap(); + } } fn modulate() { let sample_rate = 44100; - let mut frequency = 2000.0; //HZ - let mut bandwidth = 500.0; //HZ + let frequency = 2000.0; //HZ + let bandwidth = 1000.0; //HZ + println!("deviation: {}", PI * (bandwidth / sample_rate as f32)); let path = "s.txt"; let file = File::open(path).unwrap(); @@ -61,7 +92,7 @@ fn modulate() { println!("{} samples/bit", sample_rate / baud_rate); let mut bfsk = BFSKMod::new( sample_rate / baud_rate, - 2. * PI * (bandwidth / sample_rate as f32), + PI * 0.05, //PI * (bandwidth / sample_rate as f32), &mut bit_stream, ); @@ -90,6 +121,17 @@ fn modulate() { lo.step(); } writer.finalize().unwrap(); + let mut tfft = FFT::new(44100, windows::rectangular); + tfft.execute(&output_samples); + + // Write csv + let mut out_csv = File::create("out.csv").unwrap(); + for x in output_samples.iter().take(4400) + { + out_csv.write_all( + format!("{},\n", x.mag()).as_bytes() + ).unwrap(); + } let mut of = File::create("out.txt").unwrap(); @@ -97,7 +139,7 @@ fn modulate() { let mut lodem = Nco::new(-2. * PI * (frequency / sample_rate as f32)); let mut demod = BFSKDem::new( sample_rate / baud_rate, - PI * (bandwidth / sample_rate as f32), + PI * 0.05, //PI * (bandwidth / sample_rate as f32), ); for chunk in output_samples.chunks((sample_rate / baud_rate) as usize) { let base_chunk: Vec = chunk @@ -109,7 +151,7 @@ fn modulate() { .collect(); let bit = demod.demod(base_chunk.as_slice()); bits.push(bit); - println!("{:?}", bit) + //println!("{:?}", bit) } for b in bits.chunks(8) {