Statistics，Probability and Noise

Statistics and probability are used in Digital Signal Processing to characterize signals and the
processes that generate them. For example, a primary use of DSP is to reduce interference, noise,
and other undesirable components in acquired data. These may be an inherent part of the signal
being measured, arise from imperfections in the data acquisition system, or be introduced as an
unavoidable byproduct of some DSP operation. Statistics and probability allow these disruptive
features to be measured and classified, the first step in developing strategies to remove the
offending components. This chapter introduces the most important concepts in statistics and
probability, with emphasis on how they apply to acquired signals.
CHAPTER
Statistics, Probability and Noise
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Statistics and probability are used in Digital Signal Processing to characterize signals and the
processes that generate them. For example, a primary use of DSP is to reduce interference, noise,
and other undesirable components in acquired data. These may be an inherent part of the signal
being measured, arise from imperfections in the data acquisition system, or be introduced as an
unavoidable byproduct of some DSP operation. Statistics and probability allow these disruptive
features to be measured and classified, the first step in developing strategies to remove the
offending components. This chapter introduces the most important concepts in statistics and
probability, with emphasis on how they apply to acquired