Principal Component Analysis in Noise Reduction and Beamforming

Jacob Benesty, Gongping Huang, Jingdong Chen, Ningning Pan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

Principal component analysis (PCA) is by far the most popular and useful dimensionality reduction technique that one can find in the literature. The objective of PCA is the reduction of the dimension of a random signal vector from M to P, where P≪ M, with little loss of the useful information. It does so by preserving the variability of the signal as much as possible, where the new variables are uncorrelated. In this chapter, we show how PCA can be applied to noise reduction and beamforming.

Original languageEnglish
Title of host publicationSpringer Topics in Signal Processing
PublisherSpringer Science and Business Media B.V.
Pages57-85
Number of pages29
DOIs
StatePublished - 2024

Publication series

NameSpringer Topics in Signal Processing
Volume22
ISSN (Print)1866-2609
ISSN (Electronic)1866-2617

Keywords

  • Beamforming
  • Dimensionality reduction
  • Noise reduction
  • Principal component analysis (PCA)

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