Random Signals and Systems
JVJames Vincent Candy
Université Paris-Sud · Lawrence Livermore National Laboratory
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Abstract
In this chapter, we discuss the representation of a random signal, first as a stochastic process with accompanying statistics and then as a discrete random signal with certain inherent properties. With these concepts developed, we then show how processes can be characterized spectrally and then discuss a set of classical spectral estimation (decomposition) algorithms to analyze the spectral content of random signals. We illustrate their performance in a case study of sinusoids in noise.
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Authors
1- JVJames Vincent CandyCorresponding
Université Paris-Sud, Lawrence Livermore National Laboratory
Topics & keywords
Topics
Keywords
- Multivariate random variable
- Mathematics
- Random element
- Random field
- Poisson distribution
- Random variable
- Random function
- Sum of normally distributed random variables
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