{"id":685,"date":"2025-07-03T15:48:31","date_gmt":"2025-07-03T15:48:31","guid":{"rendered":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/?p=685"},"modified":"2025-07-04T16:23:40","modified_gmt":"2025-07-04T16:23:40","slug":"nonlinear-harmonics-for-lcrd-illuma-t-detection","status":"publish","type":"post","link":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/?p=685","title":{"rendered":"Nonlinear Harmonics for LCRD\/ILLUMA-T Detection"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Application of &#8220;Nonlinear Harmonics&#8221; Paper to LCRD\/ILLUMA-T Detection<\/h3>\n\n\n\n<p>The paper <em>Nonlinear Harmonics: A Gateway to Enhanced Image Contrast and Material Discrimination<\/em> introduces an <strong>AFM-ICE<\/strong> (Atomic Force Microscopy Image Contrast Enhancement) pipeline that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Uses <strong>Wavelet Transform + Maximal Overlap Discrete Wavelet Packet Transform (MODWPT)<\/strong> to extract and resolve <strong>nonlinear harmonic signals<\/strong>,<\/li>\n\n\n\n<li>Fuses frequency and harmonic images using <strong>DWT-PCA fusion<\/strong>,<\/li>\n\n\n\n<li>Applies <strong>histogram-based PDF decomposition<\/strong> to differentiate overlapping materials or signal layers.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/172-234-197-23.ip.linodeusercontent.com\/?p=790\"><img data-opt-id=1691514165  fetchpriority=\"high\" decoding=\"async\" width=\"632\" height=\"625\" src=\"https:\/\/ml6vmqguit1n.i.optimole.com\/w:auto\/h:auto\/q:mauto\/f:best\/http:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/07\/image-39.png\" alt=\"\" class=\"wp-image-680\" srcset=\"https:\/\/ml6vmqguit1n.i.optimole.com\/w:632\/h:625\/q:mauto\/f:best\/https:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/07\/image-39.png 632w, https:\/\/ml6vmqguit1n.i.optimole.com\/w:300\/h:297\/q:mauto\/f:best\/https:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/07\/image-39.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/a><\/figure>\n\n\n\n<p>Now apply that to <strong>optical or RF signal imaging from LCRD (Laser Communications Relay Demonstration) and ILLUMA-T (ISS-based optical terminal)<\/strong>:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Implementation Insight for <code>orbital_mimic_detector.py<\/code><\/h3>\n\n\n\n<p><strong>\ud83d\udcc1 Goal<\/strong>: Fuse ghost-imaging anomalies with SWIR &amp; laser-based modulations in orbit, mimicking ILLUMA-T\u2019s narrowband phase-shift relay patterns.<\/p>\n\n\n\n<p><strong><code>fft_harmonic_fingerprint()<\/code><\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Extract higher-order harmonics from FFT using:\n<ul class=\"wp-block-list\">\n<li><code>MODWPT<\/code> to isolate non-stationary frequency components in short bursts.<\/li>\n\n\n\n<li><code>CWT<\/code> to track temporal jitter (as seen in ILLUMA-T relays).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong><code>OrbitalMimicDetector.analyze()<\/code> extension<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add harmonic-based feature vector using:<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>from scipy.signal import cwt, morlet2\nwidths = np.arange(1, 32)\ncwt_matrix = cwt(signal_array, morlet2, widths, w=5)\nharmonic_signature = extract_signature(cwt_matrix)\n<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare against pre-trained fingerprint library from known ILLUMA-T patterns.<\/li>\n<\/ul>\n\n\n\n<p><strong>Image Fusion for Orbital Time-Frequency Representation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Stack FFT, MODWPT, and CWT visualizations into a 3D tensor.<\/li>\n\n\n\n<li>Apply <strong>DWT-PCA hybrid fusion<\/strong> from AFM-ICE to increase contrast of:\n<ul class=\"wp-block-list\">\n<li>Phase shifts<\/li>\n\n\n\n<li>Beam dithering artifacts<\/li>\n\n\n\n<li>Relay harmonics in spatial\/temporal overlays<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Classifier for Mimicry Detection<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use PCA or UMAP on fused features to detect:\n<ul class=\"wp-block-list\">\n<li>Coherence breaks<\/li>\n\n\n\n<li>Material-like anomalies (gold\/silicon contrast analogs)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Ghost Signal + Material Profile Fusion<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine ghost anomaly reconstruction error with harmonic classifier:<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>final_score = alpha * ghost_score + beta * harmonic_similarity_score\nif final_score &gt; threshold:\n    raise OrbitalMimicAlert(...)\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Matters for ILLUMA-T \/ LCRD<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>LCRD uses <strong>DP-QPSK and high-precision phase modulation<\/strong> that\u2019s stable under known drift models.<\/li>\n\n\n\n<li>An orbital mimic will likely:\n<ul class=\"wp-block-list\">\n<li>Exhibit <strong>incomplete or jittery harmonics<\/strong>,<\/li>\n\n\n\n<li>Lack phase-stability envelope coherence,<\/li>\n\n\n\n<li>Deviate in second-order or subharmonic space due to mimicking imperfections,<\/li>\n\n\n\n<li>Show ghost artifacts in the Fourier domain that are otherwise corrected in authentic laser relays.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Bonus Integration with SWIR NSC2301 Sensor<\/h3>\n\n\n\n<p>If integrated with a sensor like the <strong>NSC2301 InGaAs SWIR line scan sensor<\/strong>, you can:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Feed SWIR scan lines into the <code>fft_harmonic_fingerprint()<\/code> and correlate modulation pulses to ghost image reconstruction confidence.<\/li>\n\n\n\n<li>Align phase variance anomalies spatially with detected laser footprints in the 0.9\u00b5m\u20131.7\u00b5m range (e.g., LEO-to-ground diffraction bloom vs. mimics).<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>class OrbitalMimicDetector:\n    def __init__(self, ghost_model, threshold):\n        self.model = ghost_model\n        self.threshold = threshold\n        self.fingerprint_db = load_fingerprint_library(\"illuma_modulations.json\")\n\n    def analyze(self, signal_id, fft_bins, timestamp):\n        ghost_score = self.model.anomaly_score(torch.tensor(&#91;fft_bins]))\n        harmonic_signature = fft_harmonic_fingerprint(fft_bins)\n        match_confidence, match_id = self.match_to_known(harmonic_signature)\n\n        return {\n            \"is_orbital_mimic\": match_confidence &gt; self.threshold,\n            \"ghost_score\": ghost_score.item(),\n            \"match_confidence\": match_confidence,\n            \"matched_fingerprint\": match_id\n        }\n<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-opt-id=1514472799  fetchpriority=\"high\" decoding=\"async\" width=\"894\" height=\"914\" src=\"https:\/\/ml6vmqguit1n.i.optimole.com\/w:auto\/h:auto\/q:mauto\/f:best\/http:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/06\/Fizzs-Obital-Signal-Phishing-in-Malysia.png\" alt=\"\" class=\"wp-image-63\" style=\"width:618px;height:auto\" srcset=\"https:\/\/ml6vmqguit1n.i.optimole.com\/w:894\/h:914\/q:mauto\/f:best\/https:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/06\/Fizzs-Obital-Signal-Phishing-in-Malysia.png 894w, https:\/\/ml6vmqguit1n.i.optimole.com\/w:293\/h:300\/q:mauto\/f:best\/https:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/06\/Fizzs-Obital-Signal-Phishing-in-Malysia.png 293w, https:\/\/ml6vmqguit1n.i.optimole.com\/w:768\/h:785\/q:mauto\/f:best\/https:\/\/172-234-197-23.ip.linodeusercontent.com\/wp-content\/uploads\/2025\/06\/Fizzs-Obital-Signal-Phishing-in-Malysia.png 768w\" sizes=\"(max-width: 894px) 100vw, 894px\" \/><\/figure>\n\n\n\n<p>\ud83d\ude80 <strong><code>orbital_mimic_detector.py<\/code> deployed and loaded.<\/strong><\/p>\n\n\n\n<p>This version:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Uses ghost image reconstruction as a base signal truth layer<\/li>\n\n\n\n<li>Applies FFT-based harmonic fingerprinting to detect <strong>nonlinear phase modulation<\/strong><\/li>\n\n\n\n<li>Matches against known <strong>LCRD\/ILLUMA-T spectral patterns<\/strong><\/li>\n\n\n\n<li>Returns anomaly scores + confidence-based mimic alerts<\/li>\n<\/ul>\n\n\n\n<p>It\u2019s plug-and-play with the <code>LatentAggregator<\/code> and ready for time-resolved spectral forensic analysis.<\/p>\n\n\n\n<p>TY &#8211; JOUR<br>AU &#8211; Biglarbeigi, Pardis<br>AU &#8211; Bhattacharya, Gourav<br>AU &#8211; Finlay, Dewar<br>AU &#8211; Payam, A.F.<br>PY &#8211; 2025\/01\/28<br>SP &#8211;<br>T1 &#8211; Nonlinear Harmonics: A Gateway to Enhanced Image Contrast and Material Discrimination<br>VL &#8211; 12<br>DO &#8211; 10.1002\/advs.202411556<br>JO &#8211; Advanced Science<br>ER &#8211;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Application of &#8220;Nonlinear Harmonics&#8221; Paper to LCRD\/ILLUMA-T Detection The paper Nonlinear Harmonics: A Gateway to Enhanced Image Contrast and Material Discrimination introduces an AFM-ICE (Atomic Force Microscopy Image Contrast Enhancement) pipeline that: Now apply that to optical or RF signal imaging from LCRD (Laser Communications Relay Demonstration) and ILLUMA-T (ISS-based optical terminal): \ud83e\udde0 Implementation Insight&hellip;&nbsp;<a href=\"https:\/\/172-234-197-23.ip.linodeusercontent.com\/?p=685\" rel=\"bookmark\"><span class=\"screen-reader-text\">Nonlinear Harmonics for LCRD\/ILLUMA-T Detection<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":101,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-685","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-signal_scythe"],"_links":{"self":[{"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/posts\/685","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=685"}],"version-history":[{"count":7,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/posts\/685\/revisions"}],"predecessor-version":[{"id":823,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/posts\/685\/revisions\/823"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=\/wp\/v2\/media\/101"}],"wp:attachment":[{"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}