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cissa() is a MATLAB function for signal extraction by Circulant Singular Spectrum Analysis, a procedure proposed in Bogalo et al (2021). cissa() extracts the underlying signals in a time series identifying their frequency of oscillation in…

Computation · Statistics 2021-02-04 Juan Bógalo , Pilar Poncela , Eva Senra

We introduce Multivariate Circulant Singular Spectrum Analysis (M-CiSSA) to provide a comprehensive framework to analyze fluctuations, extracting the underlying components of a set of time series, disentangling their sources of variation…

Signal Processing · Electrical Eng. & Systems 2023-08-24 Juan Bógalo , Pilar Poncela , Eva Senra

The paper presents a new method of trend extraction in the framework of the Singular Spectrum Analysis (SSA) approach. This method is easy to use, does not need specification of models of time series and trend, allows to extract trend in…

Methodology · Statistics 2009-06-06 Theodore Alexandrov

In this paper, we introduce a new extension of the Singular Spectrum Analysis (SSA) called functional SSA to analyze functional time series. The new methodology is developed by integrating ideas from functional data analysis and univariate…

Singular spectrum analysis (SSA), starting from the second half of the XX century, has been a rapidly developing method of time series analysis. Since it can be called principal component analysis for time series, SSA will definitely be a…

Methodology · Statistics 2021-01-26 Nina Golyandina

This study extends and evaluates the forecasting performance of the Singular Spectrum Analysis (SSA) technique using a general non-linear form for the re- current formula. In this study, we consider 24 series measuring the monthly…

Statistical Finance · Quantitative Finance 2016-05-10 Donya Rahmani , Saeed Heravi , Hossein Hassani , Mansi Ghodsi

Appropriate preprocessing is a fundamental prerequisite for analyzing a noisy dataset. The purpose of this paper is to apply a nonparametric preprocessing method, called Singular Spectrum Analysis (SSA), to a variety of datasets which are…

Methodology · Statistics 2022-03-14 Maryam Movahedifar , Thorsten Dickhaus

Singular spectrum analysis (SSA) as a nonparametric tool for decomposition of an observed time series into sum of interpretable components such as trend, oscillations and noise is considered. The separability of these series components by…

Methodology · Statistics 2016-01-25 Nina Golyandina , Alex Shlemov

This paper introduces Direct Simplified Symbolic Analysis (DSSA), a new method for simplifying analog circuits. Unlike traditional matrix- or graph-based techniques that are often slow and memory-intensive, DSSA treats the task as a…

Other Computer Science · Computer Science 2025-10-21 Mohammad Shokouhifar , Hossein Yazdanjouei , Gerhard-Wilhelm Weber

Singular Spectrum Analysis (SSA) as a tool for analysis and forecasting of time series is considered. The main features of the Rssa package, which implements the SSA algorithms and methodology in R, are described and examples of its use are…

Methodology · Statistics 2015-03-20 Nina Golyandina , Anton Korobeynikov

Multivariate Singular Spectrum Analysis (MSSA) is a powerful and widely used nonparametric method for multivariate time series, which allows the analysis of complex temporal data from diverse fields such as finance, healthcare, ecology, and…

Methodology · Statistics 2024-07-08 Fabio Centofanti , Mia Hubert , Biagio Palumbo , Peter J. Rousseeuw

Detection of a signal in a noisy time series using Monte Carlo singular spectrum analysis (MC-SSA) is studied from the statistical viewpoint. The MC-SSA test consists of simultaneous testing of several hypotheses related to the presence of…

Methodology · Statistics 2022-07-29 Nina Golyandina

Extensions of singular spectrum analysis (SSA) for processing of non-rectangular images and time series with gaps are considered. A circular version is suggested, which allows application of the method to the data given on a circle or on a…

Methodology · Statistics 2015-07-13 Alex Shlemov , Nina Golyandina

Cyclic spectral analysis is a signal processing technique designed to deal with stochastic signals whose statistics vary periodically with time. Pulsar radio emission is a textbook example of this signal class, known as cyclostationary…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Paul Demorest

Whisking is a rhythmic and adaptive behavior that rodents use to probe and interact with their environment, and the frequency of movement reflects both sensorimotor processing and internal brain states. A robust and traditional method of…

Quantitative Methods · Quantitative Biology 2026-05-28 Guanghui Li , Fangyuan Li , Barbara Lykke Lind , Rune W Berg

Modern data analysis across diverse disciplines increasingly relies on time series. Many of these datasets exhibit cyclostationarity, where patterns approximately repeat in a regular manner, often across multiple time scales, such as daily,…

A novel time calibration method for waveform sampling application specific integrated circuits (ASICs) based on switched capacitor arrays (SCAs) is proposed in this paper. Precision timing extraction using SCA ASICs has been proved to be a…

Instrumentation and Detectors · Physics 2019-07-10 Boyu Cheng , Lei Zhao , Jiajun Qin , Han Chen , Yuxiang Guo , Shubin Liu , Qi An

As semiconductor devices continue to scale down, process vari- ations become more relevant for circuit design. Facing such variations, statistical static timing analysis is introduced to model variations more accurately so that the…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Ulf Schlichtmann

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

We propose a non-standard subsampling procedure to make formal statistical inference about the business cycle, one of the most important unobserved feature characterising fluctuations of economic growth. We show that some characteristics of…

Applications · Statistics 2023-07-19 Lukasz Lenart , Mateusz Pipien
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