| White Noise Visions |
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So why is it White Noise Visions? Well, the idea came to me when I was in the middle of the Album's project. White Noise: is a random signal (or process) with a flat power spectral density. In other words, the signal contains equal power within a fixed bandwidth at any center frequency. White noise draws its name from white light in which the power spectral density of the light is distributed over the visible band in such a way that the eye's three color receptors (cones) are approximately equally stimulated. An infinite-bandwidth, white noise signal is purely a theoretical construction. By having power at all frequencies, the total power of such a signal is infinite and therefore impossible to generate. In practice, however, a signal can be "white" with a flat spectrum over a defined frequency band. White random process (white noise)A continuous time random process w(t) where
i.e. it is a zero mean process for all time and has infinite power at zero time shift since its autocorrelation function is the Dirac delta function. The above autocorrelation function implies the following power spectral density. since the Fourier transform of the delta function and likewise is equal to 1. Since this power spectral density is the same at all frequencies, we call it white as an analogy to the frequency spectrum of white light. A generalization to random elements on infinitely dimensional spaces, such as random fields, is the white noise measure. ~ Excerpted form Wikipedia What is not so theoretical about this, I thought, is that one and only person who holds all and all together! The question is, what kind of visions can you get from listening to this kind of power? |
is a white noise process if and only if its mean function and autocorrelation function satisfy the following:
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