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| DECRYPTION STATION — PUZZLE #13255 |
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CIPHER TYPE: GABOR-WAVELET
SECURITY LEVEL: 4/7
STATUS: [ACTIVE — AWAITING DECRYPTION]
MISSION BRIEFING
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Analyze a 1000-sample signal with 5 candidate frequencies. Apply a Gabor wavelet (Gaussian windowed sinusoid) at each candidate frequency and find the one with maximum magnitude response.
INTERCEPTED DATA
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> signal:
[0.302997, 1.320378, 1.40736, 0.806322, 0.232286, 0.028663, -0.168887, -0.830835, -1.691756, -1.758895, -0.362686, 1.829195, 3.084867, 2.143407, -0.449161, -2.651904, -2.737168, -0.865098, 1.153863, 1.671154, 0.733125, -0.213599, -0.05302, 0.748976, 0.752301, -0.659176, -2.313974, -2.309248, -0.081377, 2.715325, 3.59293, 1.604864, -1.660639, -3.505659, -2.582873, 0.006957, 1.960895, 1.991558, 0.783217, -0.104695, -0.027159, 0.219368, -0.409572, -1.739735, -2.348459, -1.071566, 1.563124, 3.558742, 3.198916, 0.620607, -2.302363, -3.584782, -2.673726, -0.571124, 1.302409, 2.219, 2.265096, 1.718441, 0.627221, -0.937908, -2.438143, -2.972308, -1.991102, 0.10625, 2.164208, 3.102335, 2.597767, 1.07067, -0.79884, -2.407877, -3.204977, -2.679953, -0.729181, 1.885816, 3.685725, 3.447923, 1.263688, -1.396389, -2.835877, -2.490804, -1.194908, -0.13717, 0.345732, 0.846699, 1.813289, 2.632257, 2.06858, -0.269682, -3.055153, -4.121102, -2.433854, 0.7953, 3.091015, 2.926899, 1.008425, -0.629532, -0.738873, 0.013302, 0.031845, -1.233283, -2.508382, -2.009563, 0.518786, 3.242542, 3.849783, 1.757154, -1.318579, -2.991834, -2.378596, -0.658551, 0.395368, 0.263206, -0.028462, 0.653117, 2.04711, 2.621, 1.207343, -1.590727, -3.737754, -3.550226, -1.170665, 1.651356, 3.130951, 2.788954, 1.415237, 0.003722, -1.075026, -1.919814, -2.433372, -2.122667, -0.663313, 1.46022, 3.067076, 3.143693, 1.632903, -0.582911, -2.388466, -3.097105, -2.5735, -1.020084, 1.100905, 2.965866, 3.544436, 2.252308, -0.372978, -2.778993, -3.466, -2.164276, 4.9e-05, 1.5496, 1.891313, 1.532601, 1.171883, 0.783603, -0.206733, -1.859212, -3.101888, -2.517312, 0.092073, 3.052152, 4.027235, 2.122088, -1.175617, -3.253214, -2.697218, -0.443495, 1.327564, 1.363491, 0.361041, -0.107803, 0.515326, 1.167992, 0.491078, -1.409642, -2.781069, -1.952439, 0.792006, 3.224459, 3.190699, 0.664821, -2.209113, -3.121422, -1.652613, 0.58302, 1.680607, 1.204647, 0.255898, 0.007265, 0.415841, 0.462577, -0.478916, -1.748701, -1.997957, -0.632618, 1.452608, 2.632558, 2.021745, 0.195288, -1.455178, -1.964637]
> samplerate:
1000
> candidate freqs:
[100.63, 107.22, 116.19, 162.29, 176.35]
> sigma:
0.7
> difficulty:
4
> hint:
Gabor transform: G(τ,f) = ∫ s(t)·g(t-τ)·e^(-2πift) dt, where g(t) is Gaussian with σ=0.70. 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')
[INTEL] Pool fill: gabor-wavelet diff 4
DECRYPTION INPUT
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NAVIGATION
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