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Everything about Periodogram
Estimate of the spectral density of a signal
In signal processing, a periodogram is an estimate of the spectral density of a signal. The term was coined by Arthur Schuster in 1898. Today, the periodogram is a component of more sophisticated methods. It is the most common tool for examining the amplitude vs frequency characteristics of FIR filters and window functions. FFT spectrum analyzers are also implemented as a time-sequence of periodograms. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: PeriodogramA 5-minute orientation
- Skim a recent paper: Estimation of a Spectral Correlation Function Using a Time-Smoothing Cyclic Periodogram and FFT Interpolation—2N-FFT AlgorithmInfluential work since 2022
- Pick up a classic book: A course in Fourier's analysis and periodogram analysis for the mathematical laboratoryThe most-reprinted book on the subject
- Read the landmark paper: The generalised Lomb-Scargle periodogramCited 1,637 times
- Go sideways: Spectral density estimationA closely related topic
- Go sideways: Spectral densityA closely related topic
📖 Definitions
Noun A graph used in the harmonic analysis of spectra, time series etc.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The generalised Lomb-Scargle periodogram
Understanding the Lomb–Scargle Periodogram
The chi square periodogram: Its utility for analysis of circadian rhythms
Log-Periodogram Regression of Time Series with Long Range Dependence
PERIODOGRAM ANALYSIS AND CONTINUOUS SPECTRA
The Lomb-Scargle Periodogram in Biological Rhythm Research: Analysis of Incomplete and Unequally Spaced Time-Series
Assessing the statistical significance of periodogram peaks
A periodogram-based metric for time series classification
🆕 Influential since 2022
Estimation of a Spectral Correlation Function Using a Time-Smoothing Cyclic Periodogram and FFT Interpolation—2N-FFT Algorithm
Fast Averaged Cyclic Periodogram method to compute spectral correlation and coherence
Periodogram ratio based automatic detection and removal of harmonics in time or angle domain
Detection of crankshaft faults by means of a modified Welch-Bartlett periodogram
The effect of power spectral density on the electroencephalography of autistic children based on the welch periodogram method
📚 Books worth reading
- 📕A course in Fourier's analysis and periodogram analysis for the mathematical laboratoryG. A. Carse · 1915
Phonocardiography signal processingAbbas K. Abbas · 2009- 📕The analysis of the periodogramH. L. Trachtenberg · 1921
- 📕The periodogram analysis of the variations of SS CygniDavid Gibb · 1914
- 📕COURSE IN FOURIER'S ANALYSIS AND PERIODOGRAM ANALYSIS FOR THE MATHEMATICAL LABORATORYG. A. Carse
- 📕The resemblance between the ordinate of the periodogram and the correlation coefficientWilliam Leonard Crum · 1923
- 📕Log-periodogram estimation of long memory volatility dependencies with conditionally heavy tailed returnsJonathan H. Wright · 2000
- 📕Verkehrsdatenerfassung mit Floating Objects DataStefan Krüger, Stefan Jäger · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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