fn real_tone(fs: f32, f_hz: f32, n: usize, amp: f32) -> Vec<f32> {
(0..n)
.map(|k| amp * (std::f32::consts::TAU * f_hz * (k as f32) / fs).sin())
.collect()
}
fn snr_db_at(fs: f32, f0: f32, x: &[f32]) -> f32 {
let n = x.len().max(1);
let proj = |f: f32| {
let w = -std::f32::consts::TAU * f / fs;
let (mut re, mut im) = (0.0f32, 0.0f32);
for (k, &s) in x.iter().enumerate() {
let t = w * (k as f32);
re += s * t.cos();
im += s * t.sin();
}
(re * re + im * im) / ((n as f32) * (n as f32))
};
let p_sig = proj(f0);
let p_off = proj(f0 * 0.73) + 1e-20;
10.0 * (p_sig / p_off).log10()
}
fn rms(x: &[f32]) -> f32 {
if x.is_empty() {
return 0.0;
}
let sum_sq: f32 = x.iter().map(|v| v * v).sum();
(sum_sq / x.len() as f32).sqrt()
}
fn tail<'a, T>(x: &'a [T]) -> &'a [T] {
&x[x.len() / 4..]
}
#[test]
fn roundtrip_cw_envelope() {
use crate::core::{AudioToIqChain, IqToAudioChain};
use crate::modulate::CwKeyedMod;
use crate::demodulate::CwEnvelopeDemod;
let fs = 48_000.0;
let n = 24_000; let pitch_hz = 700.0;
let key_f = 5.0;
let key_env: Vec<f32> = (0..n)
.map(|k| ((k as f32 * key_f / fs).fract() < 0.5) as i32 as f32)
.collect();
let mut tx = AudioToIqChain::new(CwKeyedMod::new(fs, pitch_hz, 3.0, 3.0));
let iq = tx.process(key_env.clone());
let mut rx = IqToAudioChain::new(CwEnvelopeDemod::new(fs, pitch_hz, 300.0));
let audio = rx.process(iq);
let skip = (0.100 * fs) as usize;
let a = &audio[skip.min(audio.len())..];
let k = &key_env[skip.min(key_env.len())..];
let mut on: Vec<f32> = Vec::with_capacity(a.len());
let mut off: Vec<f32> = Vec::with_capacity(a.len());
for (&y, &ke) in a.iter().zip(k.iter()) {
if ke > 0.5 { on.push(y); } else { off.push(y); }
}
let on_rms = rms(&on);
let off_rms = rms(&off);
let contrast_db = 20.0 * (on_rms / (off_rms + 1e-12)).log10();
assert!(
contrast_db > 14.0,
"CW envelope ON/OFF contrast too low: {contrast_db:.1} dB (on_rms={on_rms:.4}, off_rms={off_rms:.4})"
);
}
#[test]
fn roundtrip_am_envelope() {
use crate::core::{AudioToIqChain, IqToAudioChain};
use crate::modulate::AmDsbMod;
use crate::demodulate::AmEnvelopeDemod;
let fs = 48_000.0;
let n = 32_768;
let f_mod = 1_000.0;
let audio_in = real_tone(fs, f_mod, n, 0.5);
let mut tx = AudioToIqChain::new(AmDsbMod::new(fs, 0.0, 0.8, 0.5));
let iq = tx.process(audio_in.clone());
let mut dem = IqToAudioChain::new(AmEnvelopeDemod::new(fs, 5_000.0));
let audio_out = dem.process(iq);
let s = tail(&audio_out);
let snr = snr_db_at(fs, f_mod, s);
assert!(snr > 24.0, "AM roundtrip SNR too low: {snr:.1} dB");
}
#[test]
fn roundtrip_ssb_usb_product() {
use crate::core::{AudioToIqChain, IqToAudioChain};
use crate::modulate::SsbPhasingMod;
use crate::demodulate::SsbProductDemod;
let fs = 48_000.0;
let n = 32_768;
let f_audio = 1_200.0;
let audio_in: Vec<f32> = (0..n)
.map(|k| 0.4 * (std::f32::consts::TAU * f_audio * (k as f32) / fs).sin())
.collect();
let audio_bw_hz = 2_800.0;
let audio_if_hz = 1_500.0;
let mut tx = AudioToIqChain::new(SsbPhasingMod::new(fs, audio_bw_hz, audio_if_hz, 0.0, true));
let iq = tx.process(audio_in.clone());
let mut rx = IqToAudioChain::new(SsbProductDemod::new(fs, audio_if_hz, audio_bw_hz));
let audio_out = rx.process(iq);
let skip = (0.120 * fs) as usize;
let s = &audio_out[skip.min(audio_out.len())..];
let snr = snr_db_at(fs, f_audio, s);
assert!(snr > 18.0, "SSB roundtrip SNR too low: {snr:.1} dB");
}
#[test]
fn roundtrip_fm_quadrature() {
use crate::core::{AudioToIqChain, IqToAudioChain};
use crate::modulate::FmPhaseAccumMod;
use crate::demodulate::FmQuadratureDemod;
let fs = 48_000.0;
let n = 32_768;
let f_mod = 1_000.0;
let audio_in = real_tone(fs, f_mod, n, 0.5);
let mut tx = AudioToIqChain::new(FmPhaseAccumMod::new(fs, 2_500.0, 0.0));
let iq = tx.process(audio_in.clone());
let mut dem = IqToAudioChain::new(FmQuadratureDemod::new(fs, 2_500.0, 5_000.0));
let audio_out = dem.process(iq);
let s = tail(&audio_out);
let snr = snr_db_at(fs, f_mod, s);
assert!(snr > 20.0, "FM roundtrip SNR too low: {snr:.1} dB");
}
fn qam_roundtrip_noiseless<const BITS: usize>(n_syms: usize) {
use crate::modulate::{QamMapper, QamMod};
use crate::demodulate::{QamDemod, QamDecider};
use crate::core::Block;
use num_complex::Complex32 as C32;
let n_bits = n_syms * BITS;
let bits_in: Vec<u8> = (0..n_bits).map(|i| ((i / BITS + i % BITS) & 1) as u8).collect();
let mut syms = vec![C32::default(); n_syms];
let mut iq = vec![C32::default(); n_syms];
let mut soft = vec![C32::default(); n_syms];
let mut bits_out = vec![0u8; n_bits];
QamMapper::<BITS>::new().process(&bits_in, &mut syms);
QamMod::new(1.0, 0.0, 1.0).process(&syms, &mut iq);
QamDemod::new(1.0).process(&iq, &mut soft);
QamDecider::<BITS>::new().process(&soft, &mut bits_out);
assert_eq!(bits_in, bits_out, "QAM-{} noiseless roundtrip failed", 1 << BITS);
}
#[test]
fn qam16_mapper_symbols() {
use crate::modulate::Qam16Mapper;
use crate::core::Block;
use num_complex::Complex32 as C32;
let scale = (1.0f32 / 10.0f32).sqrt();
let bits: Vec<u8> = vec![
0,0, 0,0, 0,1, 0,0, 1,1, 0,0, 1,0, 0,0, ];
let mut out = [C32::default(); 4];
Qam16Mapper::new().process(&bits, &mut out);
let eps = 1e-6f32;
assert!((out[0].re - (-3.0 * scale)).abs() < eps, "QAM-16 I level mismatch sym 0: {:?}", out[0]);
assert!((out[1].re - (-1.0 * scale)).abs() < eps, "QAM-16 I level mismatch sym 1: {:?}", out[1]);
assert!((out[2].re - ( 1.0 * scale)).abs() < eps, "QAM-16 I level mismatch sym 2: {:?}", out[2]);
assert!((out[3].re - ( 3.0 * scale)).abs() < eps, "QAM-16 I level mismatch sym 3: {:?}", out[3]);
for s in &out { assert!((s.im - (-3.0 * scale)).abs() < eps, "QAM-16 Q level mismatch: {:?}", s); }
}
#[test]
fn roundtrip_qam16_noiseless() { qam_roundtrip_noiseless::<4>(256); }
#[test]
fn roundtrip_qam64_noiseless() { qam_roundtrip_noiseless::<6>(256); }
#[test]
fn roundtrip_qam256_noiseless() { qam_roundtrip_noiseless::<8>(256); }
#[test]
fn qpsk_mapper_symbols() {
use crate::modulate::QpskMapper;
use crate::core::Block;
use num_complex::Complex32 as C32;
const S: f32 = std::f32::consts::FRAC_1_SQRT_2;
let bits = [0u8, 0, 0, 1, 1, 0, 1, 1];
let mut out = [C32::default(); 4];
QpskMapper::new().process(&bits, &mut out);
assert_eq!(out[0], C32::new( S, S));
assert_eq!(out[1], C32::new( S, -S));
assert_eq!(out[2], C32::new(-S, S));
assert_eq!(out[3], C32::new(-S, -S));
}
#[test]
fn roundtrip_qpsk_noiseless() {
use crate::modulate::{QpskMapper, QpskMod};
use crate::demodulate::{QpskDemod, QpskDecider};
use crate::core::Block;
use num_complex::Complex32 as C32;
let n_syms = 256;
let bits_in: Vec<u8> = (0..n_syms * 2).map(|i| ((i / 2 + i) & 1) as u8).collect();
let mut syms = vec![C32::default(); n_syms];
let mut iq = vec![C32::default(); n_syms];
let mut soft = vec![C32::default(); n_syms];
let mut bits_out = vec![0u8; n_syms * 2];
QpskMapper::new().process(&bits_in, &mut syms);
QpskMod::new(1.0, 0.0, 1.0).process(&syms, &mut iq);
QpskDemod::new(1.0).process(&iq, &mut soft);
QpskDecider::new().process(&soft, &mut bits_out);
assert_eq!(bits_in, bits_out);
}
#[test]
fn bpsk_mapper_symbols() {
use crate::modulate::BpskMapper;
use crate::core::Block;
use num_complex::Complex32 as C32;
let bits = [0u8, 1, 0, 1, 1, 0];
let mut out = [C32::new(0.0, 0.0); 6];
BpskMapper::new().process(&bits, &mut out);
assert_eq!(out[0], C32::new( 1.0, 0.0));
assert_eq!(out[1], C32::new(-1.0, 0.0));
assert_eq!(out[2], C32::new( 1.0, 0.0));
assert_eq!(out[3], C32::new(-1.0, 0.0));
assert_eq!(out[4], C32::new(-1.0, 0.0));
assert_eq!(out[5], C32::new( 1.0, 0.0));
}
#[test]
fn roundtrip_bpsk_noiseless() {
use crate::modulate::{BpskMapper, BpskMod};
use crate::demodulate::{BpskDemod, BpskDecider};
use crate::core::Block;
use num_complex::Complex32 as C32;
let n = 256;
let bits_in: Vec<u8> = (0..n).map(|i| (i & 1) as u8).collect();
let mut syms = vec![C32::default(); n];
let mut iq = vec![C32::default(); n];
let mut soft = vec![C32::default(); n];
let mut bits_out = vec![0u8; n];
BpskMapper::new().process(&bits_in, &mut syms);
BpskMod::new(1.0, 0.0, 1.0).process(&syms, &mut iq);
BpskDemod::new(1.0).process(&iq, &mut soft);
BpskDecider::new().process(&soft, &mut bits_out);
assert_eq!(bits_in, bits_out);
}
#[test]
fn roundtrip_pm_quadrature() {
use crate::core::{AudioToIqChain, IqToAudioChain};
use crate::modulate::PmDirectPhaseMod;
use crate::demodulate::PmQuadratureDemod;
let fs = 48_000.0;
let n = 32_768;
let f_mod = 900.0;
let audio_in = real_tone(fs, f_mod, n, 0.5);
let mut tx = AudioToIqChain::new(PmDirectPhaseMod::new(fs, 0.9, 0.0));
let iq = tx.process(audio_in.clone());
let mut dem = IqToAudioChain::new(PmQuadratureDemod::new(fs, 0.9, 5_000.0));
let audio_out = dem.process(iq);
let s = tail(&audio_out);
let snr = snr_db_at(fs, f_mod, s);
assert!(snr > 18.0, "PM roundtrip SNR too low: {snr:.1} dB");
}