A simple model for pink noise from amplitude modulations

Morikawa, Masahiro; Nakamichi, Akika

doi:10.1038/s41598-023-34816-2

Cited by 4 publications

(6 citation statements)

References 20 publications

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“…Speckle noise is a multiplicative noise that arises from random interference patterns, lending a grainy appearance to images. Pink noise, also known as "1/ f noise" [23], is characterized by its frequency-dependent power spectrum, where the power decreases with the increase in frequency. This type of noise is often found in natural systems, including biological processes [24] and financial markets.…”

Section: Noise Modelingmentioning

confidence: 99%

Hologram Noise Model for Data Augmentation and Deep Learning

Terbe,

Orzó,

Bicsák

et al. 2024

Sensors

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This paper introduces a noise augmentation technique designed to enhance the robustness of state-of-the-art (SOTA) deep learning models against degraded image quality, a common challenge in long-term recording systems. Our method, demonstrated through the classification of digital holographic images, utilizes a novel approach to synthesize and apply random colored noise, addressing the typically encountered correlated noise patterns in such images. Empirical results show that our technique not only maintains classification accuracy in high-quality images but also significantly improves it when given noisy inputs without increasing the training time. This advancement demonstrates the potential of our approach for augmenting data for deep learning models to perform effectively in production under varied and suboptimal conditions.

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Section: Noise Modelingmentioning

confidence: 99%

Hologram Noise Model for Data Augmentation and Deep Learning

Terbe,

Orzó,

Bicsák

et al. 2024

Sensors

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“…We recently proposed a potential origin for 1/f fluctuation, attributing it to wave beat or amplitude modulation [8]. Given the generality of this mechanism, our intention is to extend its application to the context of solar flare 1/f fluctuation within the scope of this paper.…”

Section: Amplitude Modulation From Resonancementioning

confidence: 99%

“…Demodulation is achieved by rectifying the radio wave signal, traditionally through germanium diodes or vacuum tubes. This process is indispensable for extracting the encoded low-frequency signal, such as 1/f fluctuation [8].…”

Section: Amplitude Modulation From Resonancementioning

confidence: 99%

“…If SFO induces amplitude modulation, demodulation becomes imperative for observing 1/f fluctuation [8]. This necessity arises due to the cancellation of positive and negative components within the relatively high-frequency wave, encompassing 1/f modulation.…”

Section: Amplitude Modulation From Resonancementioning

confidence: 99%

“…We recently proposed that the general origin of the 1/f fluctuation is amplitude modulation (AM), or the beat of many waves with accumulating frequencies [8]. In particular, this frequency accumulation is possible in resonance, where many eigenfrequencies are systematically concentrated in a narrow domain.…”

Section: Introductionmentioning

confidence: 99%

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Solar Flare 1/f Fluctuations from Amplitude-Modulated Five-Minute Oscillation

Morikawa,

Nakamichi

2023

Entropy

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We first report that the solar flare time sequence exhibits a fluctuation characterized by its power spectral density being inversely proportional to the signal frequency. This is the 1/f fluctuation, or pink noise, observed ubiquitously in nature. Using GOES16 data, we found that low-energy flares (E≤Emean) display 1/f fluctuations, whereas high-energy flares (E>Emean) show a flat spectrum. Furthermore, we found that the timing sequence of the flares reveals clearer 1/f fluctuations. These observations suggest that the solar flare 1/f fluctuations are associated with low-energy phenomena. We investigated the origin of these 1/f fluctuations based on our recent hypothesis: 1/f fluctuations arise from amplitude modulation and demodulation. We propose that this amplitude modulation is encoded by the resonance with the solar five-minute oscillation (SFO) and demodulated by magnetic reconnections. We partially demonstrate this scenario by analyzing the SFO eigenmodes resolving the frequency degeneration in the azimuthal order number m using the solar rotation and resonance. Given the robust nature of 1/f fluctuations, we speculated that the solar flare 1/f fluctuations may be inherited by the various phenomena around the Sun, such as the sunspot numbers and cosmic rays. In addition, we draw parallels between solar flares and earthquakes, both exhibiting 1/f fluctuations. Interestingly, the analysis applied to solar flares can also be adapted to earthquakes if we read the SFO as Earth’s free oscillation and magnetic reconnections as fault ruptures. Moreover, we point out the possibility that the same analysis also applies to the activity of a black hole/disk system if we read the SFO as the quasi-periodic oscillation of a black hole.

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Pink noise in Electric Current from Amplitude Modulations

Morikawa,

Nakamichi

2023

2023 First International Conference on Advances in Electrical, Electronics and Computational Intelligence (ICAEECI)

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A simple model for pink noise from amplitude modulations

Cited by 4 publications

References 20 publications

Hologram Noise Model for Data Augmentation and Deep Learning

Hologram Noise Model for Data Augmentation and Deep Learning

Solar Flare 1/f Fluctuations from Amplitude-Modulated Five-Minute Oscillation

Pink noise in Electric Current from Amplitude Modulations

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