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Signal statistics is a branch of applied mathematics that deals with the analysis of signals.
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A signal is a physical quantity that varies with time or space, such as a sound wave or an electromagnetic wave.
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Signal statistics aims to describe the statistical properties of signals, such as their mean, variance, power, and probability density function.
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The mean of a signal is a measure of its central tendency, and is defined as the average value of the signal over a given time or space interval.
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The variance of a signal is a measure of its spread, and is defined as the average of the squared differences between the signal values and their mean.
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The power of a signal is a measure of its energy, and is defined as the average of the squared signal values over a given time or space interval.
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The probability density function of a signal is a mathematical function that describes the relative likelihood of observing different signal values.
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Signal statistics is used in a wide range of applications, including signal processing, communication systems, image and video processing, and data analysis.