NODE 734 — TERMINAL RELAY

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PUZZLE #3578: Gabor Wavelet Frequency Detection (diff 5)

gabor-wavelet learn difficulty: 5/7 analyze author: system unsolved

Analyze a 1000-sample signal with 6 candidate frequencies. Apply a Gabor wavelet (Gaussian windowed sinusoid) at each candidate frequency and find the one with maximum magnitude response.

DATA
Signal 0.267137, 1.818136, 1.528144, -0.337105, -1.771044, -1.240391, 0.678111, 1.951322, 1.240829, -0.774319, -2.205324, -1.877666, -0.317029, 1.037121, 1.292953, 0.661281, -0.193566, -0.941744, -1.57142, -1.864885, -1.340238, 0.098912, 1.682648, 2.306385, 1.663899, 0.656097, 0.441283, 1.102588, 1.502509, 0.617225, -1.125241, -2.132043, -1.394175, 0.227855, 0.748408, -0.816973, -3.223722, -4.09747, -2.298758, 0.912978, 3.128804, 3.110396, 1.766265, 0.901423, 1.244164, 1.882148, 1.540545, 0.111996, -1.268135, -1.543811, -0.862846, -0.286616, -0.562141, -1.411508, -2.019725, -1.954374, -1.394144, -0.58505, 0.54328, 1.991108, 3.118773, 2.918585, 1.129402, -1.075847, -1.91166, -0.723329, 1.199912, 1.814477, 0.424496, -1.541414, -2.015582, -0.522046, 1.263667, 1.29613, -0.59672, -2.441808, -2.160433, 0.223987, 2.535498, 2.589113, 0.298836, -2.335855, -3.183943, -1.811124, 0.487846, 2.126544, 2.484823, 1.931681, 1.069019, 0.260773, -0.248167, -0.215157, 0.294306, 0.63695, 0.042636, -1.44393, -2.666829, -2.378676, -0.693447, 0.723303, 0.26713, -1.719523, -2.936187, -1.331265, 2.589743, 5.854062, 5.674969, 2.132223, -1.824848, -3.108082, -1.272079, 1.325908, 1.970098, 0.094029, -2.508651, -3.654816, -2.747533, -0.936809, 0.291241, 0.431012, 0.031727, -0.116476, 0.36447, 1.383419, 2.534352, 3.13318, 2.416089, 0.208388, -2.428161, -3.572416, -2.027975, 1.226589, 3.440825, 2.437408, -1.179589, -4.289898, -4.047257, -0.606157, 2.953276, 3.533059, 0.925698, -2.133814, -2.746184, -0.617977, 1.879459, 2.230281, 0.218521, -2.052389, -2.328029, -0.263742, 2.485323, 3.877811, 3.075082, 0.749196, -1.685318, -2.969563, -2.518363, -0.667548, 1.319044, 1.826261, 0.096764, -2.808126, -4.494027, -3.202848, 0.399336, 3.540039, 3.798412, 1.44276, -0.776808, -0.362044, 2.346082, 4.407633, 3.215014, -0.806894, -4.475683, -4.845936, -1.948495, 1.364472, 2.166098, 0.032555, -2.883854, -4.014513, -2.508647, 0.461702, 3.01344, 3.95529, 3.219078, 1.501448, -0.205273, -0.987787, -0.488425, 0.673998, 1.165683, 0.081609, -1.954072, -3.058349, -1.85533, 0.891922, 2.6625, 1.545436
Samplerate 1000
Candidate Freqs 48.27, 63.55, 110.63, 148.59, 152.54, 182.24
Sigma 0.8
Difficulty 5
Hint Gabor transform: G(τ,f) = ∫ s(t)·g(t-τ)·e^(-2πift) dt, where g(t) is Gaussian with σ=0.80. Compute magnitude at each candidate frequency. The frequency with the highest peak is the answer.
Answer Format frequency in Hz with unit (e.g., '112.7hz')
author's note: Pool fill: gabor-wavelet diff 5

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