2018
DOI: 10.1109/jstsp.2018.2851506
|View full text |Cite
|
Sign up to set email alerts
|

Optimal Detection and Error Exponents for Hidden Semi-Markov Models

Abstract: Abstract. We study detection of random signals corrupted by noise that over time switch their values (states) between a finite set of possible values, where the switchings occur at unknown points in time. We model such signals as hidden semi-Markov signals (HSMS), which generalize classical Markov chains by introducing explicit (possibly non-geometric) distribution for the time spent in each state. Assuming two possible signal states and Gaussian noise, we derive optimal likelihood ratio test and show that it … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
6
0

Year Published

2019
2019
2024
2024

Publication Types

Select...
5
2
1

Relationship

0
8

Authors

Journals

citations
Cited by 11 publications
(6 citation statements)
references
References 34 publications
0
6
0
Order By: Relevance
“…Hidden Markov models (HMMs) and various extensions of them are advocated in order to explore the possible combinations among the different appliances’ state sequences [ 14 , 29 , 30 , 31 ]. In this light, HMMs are state-based, so the studied appliances should have discrete states in their signatures [ 32 ].…”
Section: A Brief Nilm Literature Reviewmentioning
confidence: 99%
“…Hidden Markov models (HMMs) and various extensions of them are advocated in order to explore the possible combinations among the different appliances’ state sequences [ 14 , 29 , 30 , 31 ]. In this light, HMMs are state-based, so the studied appliances should have discrete states in their signatures [ 32 ].…”
Section: A Brief Nilm Literature Reviewmentioning
confidence: 99%
“…On the contrary, state-based NILM approaches require an a-priori knowledge or a large training dataset, to achieve good performance [19]. Hidden Markov models (HMM) and various extensions of this model were proposed to examine the different combinations of appliances' state sequences [20]- [23]. In this light, HMMs are state-based and so the studied appliances should have discrete states in their signatures [5].…”
Section: Related Work and Paper Contributionmentioning
confidence: 99%
“…Another recent work makes use of Activities of Daily Livings (ADL) to build a classification method using a deep learning architecture for sensing the activation of specific major household devices [3].The proposed approach is tested on the UK-DALE [12] dataset and the results confirm the effectiveness of the solution. Various adaptations of the Hidden Markov Models (HMM) have been evaluated for forecasting the possible combinations of operation state of residential appliances [13]- [14]. The study of [15] used a Factorial Hidden Markov Models (FHMM) to determine the device-specific load models considering the overall power readings which obtained a disaggregation efficiency of 90% and 80% respectively for type I and type II devices.…”
Section: Related Workmentioning
confidence: 99%