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Does mixing brown noise and white noise create pink noise? No. Pink noise has a spectrum of that falls with 3dB/octave (or 10dB/decade). The spectrum of the sum of white and brown noise will be "brown" at low frequencies and "white" at high frequencies. The spectrum will have two slopes: below the transition frequency it will be -6dB/octave and above it, ...


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Okay, when discussing white noise or pink noise (or red noise or brown noise or flicker) or some other random process, there is this property called the power spectrum, in which white noise has a constant value for all frequencies. But we integrate the power spectrum over all frequencies (from $-\infty$ to $+\infty$) to get power. Integrating a constant, ...


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Wavelets, as bases or frames, are linear like-decompositions. As such, signals and processes can be decomposed into a linear or weighed sum of coefficients multipling (wavelet) vectors: $$s[n] = \sum a_n e[n]$$ The indexing above is not wavelet-specific. Traditionally, there was some natural order: low $n$ denoting low-scales, or high frequencies, and vice-...


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Let me start with Noise 4. Noise 4 is "Zero-mean White Noise". White noise means the signal power is distributed across all frequencies evenly, which is what you see in the FFT result. From the histogram of the time signal we see that the signal is almost uniformly distributed, so close to a uniform white noise process. Although it appears closer to the sum ...


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