NODE 734 — TERMINAL RELAY

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PUZZLE #3580: Gabor Wavelet Frequency Detection (diff 6)

gabor-wavelet learn difficulty: 6/7 analyze author: system unsolved

Analyze a 1000-sample signal with 7 candidate frequencies. Apply a Gabor wavelet (Gaussian windowed sinusoid) at each candidate frequency and find the one with maximum magnitude response.

DATA
Signal 3.189534, 2.597728, 1.375651, -0.031865, -1.115774, -1.55661, -1.372595, -0.882076, -0.505738, -0.524, -0.928122, -1.446936, -1.728002, -1.562143, -1.015933, -0.39176, -0.037799, -0.120677, -0.498942, -0.779808, -0.536294, 0.433099, 1.949625, 3.497976, 4.453955, 4.379927, 3.233572, 1.382164, -0.580091, -2.109237, -2.934791, -3.117597, -2.928395, -2.634279, -2.327272, -1.896543, -1.154138, -0.028185, 1.305607, 2.448092, 2.956977, 2.586966, 1.450674, -0.000782, -1.179878, -1.64593, -1.318569, -0.504941, 0.275517, 0.574393, 0.252431, -0.455093, -1.077495, -1.171965, -0.564774, 0.559406, 1.762028, 2.582504, 2.763271, 2.344708, 1.587204, 0.780139, 0.061719, -0.637632, -1.494653, -2.601462, -3.809211, -4.718264, -4.841703, -3.864183, -1.853922, 0.698783, 3.054068, 4.529454, 4.789179, 3.970008, 2.58274, 1.246223, 0.395996, 0.116541, 0.172421, 0.202174, -0.047233, -0.581106, -1.184513, -1.585863, -1.645906, -1.450087, -1.245014, -1.258587, -1.518682, -1.791362, -1.691363, -0.91375, 0.542817, 2.296613, 3.709489, 4.169091, 3.386722, 1.555881, -0.714111, -2.658455, -3.680291, -3.577266, -2.568008, -1.124684, 0.281632, 1.379415, 2.140746, 2.67052, 3.032527, 3.137024, 2.770017, 1.750623, 0.116482, -1.789131, -3.403472, -4.178373, -3.845269, -2.566216, -0.880004, 0.539506, 1.193425, 0.977936, 0.203187, -0.592862, -0.930978, -0.62329, 0.166654, 1.055499, 1.676085, 1.877145, 1.774372, 1.63246, 1.658727, 1.84026, 1.928832, 1.587802, 0.616142, -0.88515, -2.509614, -3.717968, -4.097595, -3.566764, -2.409313, -1.1192, -0.14081, 0.350529, 0.506539, 0.67329, 1.14735, 1.963829, 2.841295, 3.31904, 3.012122, 1.841478, 0.108997, -1.626597, -2.806754, -3.124183, -2.635373, -1.682064, -0.676985, 0.117358, 0.690221, 1.213223, 1.852606, 2.587001, 3.151607, 3.153919, 2.301736, 0.612317, -1.524955, -3.481616, -4.65854, -4.751278, -3.872141, -2.46563, -1.066265, -0.032867, 0.596908, 1.058532, 1.656402, 2.528417, 3.519635, 4.240264, 4.275678, 3.427889, 1.84932, -0.008996, -1.607165, -2.567455, -2.828323, -2.620795, -2.28959, -2.06998, -1.954262, -1.725957, -1.138141, -0.124206
Samplerate 1000
Candidate Freqs 37.23, 54.75, 64.68, 70.19, 79.23, 85.42, 123.65
Sigma 0.9
Difficulty 6
Hint Gabor transform: G(τ,f) = ∫ s(t)·g(t-τ)·e^(-2πift) dt, where g(t) is Gaussian with σ=0.90. 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 6

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