dsfb-rf 1.0.1

DSFB-RF Structural Semiotics Engine for RF Signal Monitoring - A Deterministic, Non-Intrusive Observer Layer for Typed Structural Interpretation of IQ Residual Streams in Electronic Warfare, Spectrum Monitoring, and Cognitive Radio
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
//! Hierarchical Residual-Envelope Trust (HRET) for RF multi-channel receivers.
//!
//! ## Theoretical Basis
//!
//! Derived from the DSFB-HRET framework (de Beer 2026, §III–IV).  The core
//! insight is that in a multi-channel RF receiver (multi-antenna, multi-band,
//! dual-polarisation) different observation channels vary in reliability.
//! Naively averaging all channel residuals degrades the composite estimate when
//! one antenna or band is in deep fade, experiencing local RFI, or has a faulty
//! LNA.  HRET builds **two levels** of EMA-based envelope trust and combines
//! them before computing the weighted residual.
//!
//! ### Level 1 — Channel envelope (eq. 8)
//!
//! For each channel k, a per-channel EMA envelope tracks the running
//! absolute residual:
//!
//! ```text
//! s_k ← ρ · s_k + (1 − ρ) · |r_k|
//! ```
//!
//! Channel trust weight (eq. 9):
//!
//! ```text
//! w_k = 1 / (1 + β · s_k)
//! ```
//!
//! ### Level 2 — Group envelope (eq. 11)
//!
//! Channels are partitioned into groups (e.g., by polarisation, frequency band,
//! or spatial cluster).  A per-group EMA envelope tracks the mean absolute
//! residual across the group:
//!
//! ```text
//! s_g ← ρ_g · s_g + (1 − ρ_g) · (1/|G| · Σ_{k∈G} |r_k|)
//! ```
//!
//! Group trust weight (eq. 12):
//!
//! ```text
//! w_g = 1 / (1 + β_g · s_g)
//! ```
//!
//! ### Hierarchical composition (eqs. 14–15) and correction (eq. 19)
//!
//! Composite weights are the product of the channel weight and the weight of
//! that channel's group, then L1-normalised:
//!
//! ```text
//! ŵ_k = w_k · w_{g[k]}
//! w̃_k = ŵ_k / Σ_j ŵ_j          (normalisation)
//! ```
//!
//! The correction signal fed to downstream stages is (eq. 19):
//!
//! ```text
//! Δx = K · (w̃ ⊙ r)
//! ```
//!
//! ### RF interpretation
//!
//! | HRET concept | RF analogue |
//! |---|---|
//! | Channel k | Receive antenna element / ADC lane |
//! | Group g | Polarisation pair / sub-array / frequency band |
//! | Channel envelope s_k | Per-antenna noise / interference run-in |
//! | Group envelope s_g | Sub-array health / band cleanliness |
//! | ŵ_k | Phased-array weighting analogous to optimal combining |
//! | Δx | Weighted residual anomaly injected into grammar layer |
//!
//! The hierarchical scheme is empirically superior to flat average combining
//! in the presence of partial-array failures and spectrally local RFI.
//!
//! ## Design
//!
//! - `no_std`, `no_alloc`, zero `unsafe`
//! - Const-generic over `C` (channel count) and `G` (group count)
//! - O(C+G) per call — no heap scan
//! - Channel-to-group mapping supplied as a `[usize; C]` index array

/// Parameters for the HRET trust estimator.
#[derive(Debug, Clone, Copy, PartialEq)]
pub struct HretParams {
    /// Channel-level EMA smoothing factor ρ ∈ (0, 1).
    ///
    /// Larger → slower adaptation (more memory); smaller → faster adaptation.
    /// Typical: 0.95 for slowly varying RF channels, 0.80 for fast fades.
    pub channel_rho: f32,

    /// Group-level EMA smoothing factor ρ_g ∈ (0, 1).
    ///
    /// Usually slightly smoother than channel level (e.g., 0.97).
    pub group_rho: f32,

    /// Channel trust shaping coefficient β > 0.
    ///
    /// Controls how steeply small envelope increases reduce trust.
    /// β = 1/σ₀ where σ₀ is the nominal healthy-window sigma.
    pub beta_channel: f32,

    /// Group trust shaping coefficient β_g > 0.
    pub beta_group: f32,
}

impl HretParams {
    /// Construct conservative defaults suitable for most SDR receivers.
    ///
    /// ρ = 0.95, ρ_g = 0.97, β = β_g = 10.0 (nominal σ₀ = 0.1).
    pub const fn default_sdr() -> Self {
        Self {
            channel_rho: 0.95,
            group_rho: 0.97,
            beta_channel: 10.0,
            beta_group: 10.0,
        }
    }

    /// Construct from explicit nominal healthy-window sigma (sets β = 1/σ₀).
    pub fn from_sigma(sigma0: f32, channel_rho: f32, group_rho: f32) -> Self {
        let beta = if sigma0 > 1e-12 { 1.0 / sigma0 } else { 10.0 };
        Self {
            channel_rho,
            group_rho,
            beta_channel: beta,
            beta_group: beta,
        }
    }
}

impl Default for HretParams {
    fn default() -> Self { Self::default_sdr() }
}

/// Per-channel HRET trust state.
#[derive(Debug, Clone, Copy)]
pub struct ChannelState {
    /// EMA envelope s_k tracking |r_k|.  Initialised to 0.
    pub envelope: f32,
    /// Last computed channel trust weight w_k.
    pub trust_weight: f32,
}

impl Default for ChannelState {
    fn default() -> Self {
        Self { envelope: 0.0, trust_weight: 1.0 }
    }
}

/// Per-group HRET trust state.
#[derive(Debug, Clone, Copy)]
pub struct GroupState {
    /// EMA envelope s_g tracking mean |r| within the group.
    pub envelope: f32,
    /// Last computed group trust weight w_g.
    pub trust_weight: f32,
    /// Running channel count accumulator (used in mean computation).
    pub count: u8,
}

impl Default for GroupState {
    fn default() -> Self {
        Self { envelope: 0.0, trust_weight: 1.0, count: 0 }
    }
}

/// Complete HRET result returned by a single `observe()` call.
#[derive(Debug, Clone, Copy)]
pub struct HretResult<const C: usize> {
    /// Normalised hierarchical channel weights w̃_k (sum = 1).
    pub weights: [f32; C],
    /// Weighted composite residual Δx = K · (w̃ ⊙ r).
    ///
    /// This is the single scalar anomaly signal fed to downstream grammar/DSA.
    pub weighted_residual: f32,
    /// Maximum normalised weight (identifies the most-trusted channel).
    pub max_weight: f32,
    /// Minimum normalised weight (identifies least-trusted channel).
    pub min_weight: f32,
    /// Trust diversity index = 1 − (max − min).  Close to 1 → uniform trust.
    /// Close to 0 → power law: one channel dominates.
    pub trust_diversity: f32,
}

/// Hierarchical Residual-Envelope Trust estimator.
///
/// ## Type Parameters
///
/// - `C`: number of observation channels (antenna elements, ADC lanes)
/// - `G`: number of channel groups (polarisation pairs, sub-arrays, bands)
///
/// ## Memory footprint (no_std / no_alloc)
///
/// For C=4, G=2: 4×ChannelState + 2×GroupState + 4×usize = ~128 bytes.
pub struct HretEstimator<const C: usize, const G: usize> {
    /// Per-channel trust state.
    channel_states: [ChannelState; C],
    /// Per-group trust state.
    group_states: [GroupState; G],
    /// Channel-to-group mapping: group_map[k] = group index for channel k.
    group_map: [usize; C],
    /// HRET parameters.
    params: HretParams,
    /// Observation gain K applied to the weighted residual (default 1.0).
    gain: f32,
}

impl<const C: usize, const G: usize> HretEstimator<C, G> {
    /// Construct with a channel-to-group mapping and given parameters.
    ///
    /// # Panics (debug only)
    ///
    /// Panics in debug mode if any `group_map[k] >= G`.
    /// In release mode, out-of-range indices are silently saturated (no UB).
    pub fn new(group_map: [usize; C], params: HretParams) -> Self {
        // Validate mapping in debug builds
        debug_assert!(
            group_map.iter().all(|&g| g < G),
            "group_map contains index >= G"
        );
        Self {
            channel_states: [ChannelState::default(); C],
            group_states: [GroupState::default(); G],
            group_map,
            params,
            gain: 1.0,
        }
    }

    /// Construct with default SDR parameters and a uniform group mapping
    /// (all channels in group 0) — useful for single-band single-array receivers.
    pub fn single_group(params: HretParams) -> Self {
        Self::new([0usize; C], params)
    }

    /// Set the output gain K (default 1.0).
    pub fn with_gain(mut self, gain: f32) -> Self {
        self.gain = gain;
        self
    }

    /// Process one observation of per-channel residuals.
    ///
    /// `residuals[k]` = signed residual r_k for channel k.  We use |r_k|
    /// for envelope update but the signed value for the weighted composite.
    ///
    /// Returns an `HretResult<C>` with normalised weights and the weighted
    /// composite residual Δx.
    pub fn observe(&mut self, residuals: &[f32; C]) -> HretResult<C> {
        self.update_group_envelopes(residuals);
        self.update_channel_envelopes(residuals);
        let weights = self.compose_normalised_weights();
        let weighted_residual = self.gain * dot_product_c(&weights, residuals);
        let (max_w, min_w) = weight_extrema(&weights);
        HretResult {
            weights,
            weighted_residual,
            max_weight: max_w,
            min_weight: min_w,
            trust_diversity: 1.0 - (max_w - min_w),
        }
    }

    fn update_group_envelopes(&mut self, residuals: &[f32; C]) {
        let mut group_sum = [0.0_f32; G];
        let mut group_cnt = [0_u32; G];
        for (k, &r) in residuals.iter().enumerate() {
            let g = self.group_map[k].min(G - 1);
            group_sum[g] += r.abs();
            group_cnt[g] += 1;
        }
        let rho_gr = self.params.group_rho;
        let beta_gr = self.params.beta_group;
        for g in 0..G {
            let mean_abs = if group_cnt[g] > 0 { group_sum[g] / group_cnt[g] as f32 } else { 0.0 };
            let s = &mut self.group_states[g].envelope;
            *s = rho_gr * (*s) + (1.0 - rho_gr) * mean_abs;
            self.group_states[g].trust_weight = 1.0 / (1.0 + beta_gr * self.group_states[g].envelope);
        }
    }

    fn update_channel_envelopes(&mut self, residuals: &[f32; C]) {
        let rho_ch = self.params.channel_rho;
        let beta_ch = self.params.beta_channel;
        for (k, &r) in residuals.iter().enumerate() {
            let s = &mut self.channel_states[k].envelope;
            *s = rho_ch * (*s) + (1.0 - rho_ch) * r.abs();
            self.channel_states[k].trust_weight = 1.0 / (1.0 + beta_ch * self.channel_states[k].envelope);
        }
    }

    fn compose_normalised_weights(&self) -> [f32; C] {
        let mut hat_w = [0.0_f32; C];
        for k in 0..C {
            let g = self.group_map[k].min(G - 1);
            hat_w[k] = self.channel_states[k].trust_weight * self.group_states[g].trust_weight;
        }
        let sum_hat: f32 = hat_w.iter().sum();
        let mut weights = [0.0_f32; C];
        if sum_hat > 1e-30 {
            for k in 0..C { weights[k] = hat_w[k] / sum_hat; }
        } else {
            let unif = 1.0 / C as f32;
            for k in 0..C { weights[k] = unif; }
        }
        weights
    }

    /// Return a snapshot of all channel states (trust weights + envelopes).
    #[inline]
    pub fn channel_states(&self) -> &[ChannelState; C] { &self.channel_states }

    /// Return a snapshot of all group states.
    #[inline]
    pub fn group_states(&self) -> &[GroupState; G] { &self.group_states }

    /// Normalised channel trust weight for channel k.
    ///
    /// Returns the last computed normalised weight w̃_k.
    /// This is safe to call after at least one `observe()` call.
    pub fn channel_trust(&self, k: usize) -> f32 {
        self.channel_states.get(k).map(|s| s.trust_weight).unwrap_or(0.0)
    }

    /// Reset all state to initial values.
    pub fn reset(&mut self) {
        for s in &mut self.channel_states { *s = ChannelState::default(); }
        for s in &mut self.group_states { *s = GroupState::default(); }
    }
}

fn dot_product_c<const C: usize>(a: &[f32; C], b: &[f32; C]) -> f32 {
    let mut d = 0.0_f32;
    for k in 0..C { d += a[k] * b[k]; }
    d
}

fn weight_extrema<const C: usize>(weights: &[f32; C]) -> (f32, f32) {
    let mut max_w = weights[0];
    let mut min_w = weights[0];
    for k in 1..C {
        if weights[k] > max_w { max_w = weights[k]; }
        if weights[k] < min_w { min_w = weights[k]; }
    }
    (max_w, min_w)
}

// ---------------------------------------------------------------
// Tests
// ---------------------------------------------------------------
#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn single_group_uniform_channels() {
        // 4 channels all same residual → nearly uniform weights
        let mut h = HretEstimator::<4, 1>::single_group(HretParams::default_sdr());
        for _ in 0..50 {
            let r = h.observe(&[0.1, 0.1, 0.1, 0.1]);
            let _ = r;
        }
        let r = h.observe(&[0.1, 0.1, 0.1, 0.1]);
        for k in 0..4 {
            let diff = (r.weights[k] - 0.25).abs();
            assert!(diff < 0.01, "weight[{}]={} (expected ~0.25)", k, r.weights[k]);
        }
        assert!((r.weights.iter().sum::<f32>() - 1.0).abs() < 1e-5);
    }

    #[test]
    fn faulty_channel_down_weighted() {
        // Channel 3 has 10× the noise of others → should get lower trust
        let mut h = HretEstimator::<4, 1>::single_group(HretParams::default_sdr());
        for _ in 0..200 {
            // channel 3 always large
            h.observe(&[0.02, 0.02, 0.02, 0.20]);
        }
        let r = h.observe(&[0.02, 0.02, 0.02, 0.20]);
        // Good channels should cumulatively dominate
        let good_sum = r.weights[0] + r.weights[1] + r.weights[2];
        assert!(
            good_sum > r.weights[3],
            "good_sum={}, bad={}: faulty channel should be down-weighted",
            good_sum, r.weights[3]
        );
    }

    #[test]
    fn hierarchical_group_fault_down_weights_entire_group() {
        // 4 channels: channels 0,1 in group 0; channels 2,3 in group 1.
        // Group 1 has persistent large residuals → both channels 2,3 should lose trust.
        let map = [0usize, 0, 1, 1];
        let mut h = HretEstimator::<4, 2>::new(map, HretParams::default_sdr());
        for _ in 0..200 {
            h.observe(&[0.02, 0.02, 0.20, 0.20]);
        }
        let r = h.observe(&[0.02, 0.02, 0.20, 0.20]);
        let group0_sum = r.weights[0] + r.weights[1];
        let group1_sum = r.weights[2] + r.weights[3];
        assert!(
            group0_sum > group1_sum,
            "clean group0={} should outweigh noisy group1={}",
            group0_sum, group1_sum
        );
    }

    #[test]
    fn weights_always_sum_to_one() {
        let map = [0usize, 0, 1, 1];
        let mut h = HretEstimator::<4, 2>::new(map, HretParams::default_sdr());
        for i in 0..100 {
            let r = h.observe(&[i as f32 * 0.01, 0.05, 0.03, i as f32 * 0.02]);
            let sum: f32 = r.weights.iter().sum();
            assert!(
                (sum - 1.0).abs() < 1e-5,
                "weights sum={} at step {}", sum, i
            );
        }
    }

    #[test]
    fn trust_diversity_bounded() {
        let mut h = HretEstimator::<4, 1>::single_group(HretParams::default_sdr());
        for _ in 0..100 {
            let r = h.observe(&[0.1, 0.2, 0.3, 0.4]);
            assert!(r.trust_diversity >= 0.0, "diversity must be non-negative");
            assert!(r.trust_diversity <= 1.0, "diversity must be <= 1.0");
        }
    }

    #[test]
    fn reset_clears_state() {
        let mut h = HretEstimator::<2, 1>::single_group(HretParams::default_sdr());
        for _ in 0..100 { h.observe(&[0.5, 0.5]); }
        h.reset();
        assert_eq!(h.channel_states[0].envelope, 0.0);
        assert_eq!(h.group_states[0].envelope, 0.0);
    }
}