Noisy Sine (SNR 3 dB)
signal-synthesis · 37 views
signal-synthesisperiodic
What It Is
Sine wave in Gaussian noise at SNR=3 dB (signal power ~2x noise) --- near the perceptual boundary where periodicity is barely detectable, transitional between C1 waveform and C5 noise regimes
Interpretation
Standard analysis sees: strongly periodic; high-complexity (noise-like). The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.47
asymmetry0.47
occupancy0.65
short-range corr0.55
long-range memory0.79
spectral colour0.65
periodicity0.92
complexity0.97
time-irreversibility0.37
volatility clustering0.45
multifractality0.33
dimensionality0.68
nonstationarity0.63
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[-2.638, 2.588]
unique values16384 / 16384
mean ± std0.0029 ± 0.861
Render Gallery
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Native > phase_plotraw
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Native > timeseriesraw
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Native > triple_latticeraw
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Boltzmann > lag_map
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Boltzmann > spin_grid
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Cayley > default
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Chladni > free_plate_nodal
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Chladni > plate_bottom
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Chladni > plate_top
_(centered)/signed_log_z/Noisy_Sine_(SNR_3_dB).png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Noisy_Sine_(SNR_3_dB).png)
Heisenberg (Nil) (centered) > xy_path
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Hodge–Laplacian > default
/barcode/Noisy_Sine_(SNR_3_dB).png)
Inflation (Substitution) > barcode
/d_curve/Noisy_Sine_(SNR_3_dB).png)
Inflation (Substitution) > d_curve
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Information Theory > default
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Julia Set > escape_histogram
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Klein Bottle > default
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Laplacian > default
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Logarithmic Spiral > default
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Möbius-S³ > mobius_cylinder
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Möbius-S³ > s2_base_map
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Ordinal Partition > default
/phi_spectrum/Noisy_Sine_(SNR_3_dB).png)
Penrose (Quasicrystal) > phi_spectrum
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Persistent Homology > barcode
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Persistent Homology > h1_diagram
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Predictability > default
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Recurrence Quantification > default
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Spectral Analysis > default
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Spectral Graph > default
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Spirograph > mode_spectrum
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Spirograph > phasor_trajectory
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Symplectic > flux_grid
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Symplectic > phase_space
/default/Noisy_Sine_(SNR_3_dB).png)
Ulam Spiral (Sacks) > default
/default/Noisy_Sine_(SNR_3_dB).png)
Ulam Spiral (Square) > default
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Visibility Graph > default
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Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Pink Noise | 3.60 | cross-origin |
| VLF Radio (Eclipse) | 3.81 | cross-origin |
| VLF Radio (Baseline) | 3.83 | cross-origin |
Which Geometries Light Up
Catch24 › Catch24:SC_FluctAnal_2_rsrangefit_50_1_logi_prop_r1 | rank 4/306 | 0.7800 |
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