Asymptotic Properties of a One-bit Estimator of Parametric Signals Article Swipe

View

Paolo Carbone , Alessio De Angelis , Antonio Moschitta , Francesco Santoni ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.36227/techrxiv.22651516

This paper considers an estimator of the parameters in a linear-in-the-parameter signal, based on its binary quantization. It shows an analysis of the systematic errors for growing lengths of the data set. It also shows how to express the cost function, when the minimum is reached. Zero-mean additive noise is assumed in the model, having independent outcomes. Furthermore, a method is introduced to validate the estimation process. Monte Carlo results validate the proposed analyses.

Related Topics

Quantization (Signal Processing)

Concepts

Estimator Monte Carlo method Parametric statistics Mathematics Algorithm Binary number Quantization (signal processing) Applied mathematics Parametric model Function (biology) Statistics Computer science Biology Evolutionary biology Arithmetic

Metadata

Type: preprint
Language: en
Landing Page: https://doi.org/10.36227/techrxiv.22651516
OA Status: gold
References: 17
Related Works: 10
OpenAlex ID: https://openalex.org/W4366984700

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4366984700

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.36227/techrxiv.22651516

Digital Object Identifier
Title: Asymptotic Properties of a One-bit Estimator of Parametric Signals

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-04-25

Full publication date if available
Authors: Paolo Carbone, Alessio De Angelis, Antonio Moschitta, Francesco Santoni

List of authors in order
Landing page: https://doi.org/10.36227/techrxiv.22651516

Publisher landing page
Open access: Yes

Whether a free full text is available
OA status: gold

Open access status per OpenAlex
OA URL: https://doi.org/10.36227/techrxiv.22651516

Direct OA link when available
Concepts: Estimator, Monte Carlo method, Parametric statistics, Mathematics, Algorithm, Binary number, Quantization (signal processing), Applied mathematics, Parametric model, Function (biology), Statistics, Computer science, Biology, Evolutionary biology, Arithmetic

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
References (count): 17

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4366984700
doi	https://doi.org/10.36227/techrxiv.22651516
ids.doi	https://doi.org/10.36227/techrxiv.22651516
ids.openalex	https://openalex.org/W4366984700
fwci	0.0
type	preprint
title	Asymptotic Properties of a One-bit Estimator of Parametric Signals
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10320
topics[0].field.id	https://openalex.org/fields/17
topics[0].field.display_name	Computer Science
topics[0].score	0.3260999917984009
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/1702
topics[0].subfield.display_name	Artificial Intelligence
topics[0].display_name	Neural Networks and Applications
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C185429906
concepts[0].level	2
concepts[0].score	0.8228843212127686
concepts[0].wikidata	https://www.wikidata.org/wiki/Q1130160
concepts[0].display_name	Estimator
concepts[1].id	https://openalex.org/C19499675
concepts[1].level	2
concepts[1].score	0.6267793774604797
concepts[1].wikidata	https://www.wikidata.org/wiki/Q232207
concepts[1].display_name	Monte Carlo method
concepts[2].id	https://openalex.org/C117251300
concepts[2].level	2
concepts[2].score	0.5815442204475403
concepts[2].wikidata	https://www.wikidata.org/wiki/Q1849855
concepts[2].display_name	Parametric statistics
concepts[3].id	https://openalex.org/C33923547
concepts[3].level	0
concepts[3].score	0.5554701089859009
concepts[3].wikidata	https://www.wikidata.org/wiki/Q395
concepts[3].display_name	Mathematics
concepts[4].id	https://openalex.org/C11413529
concepts[4].level	1
concepts[4].score	0.546302318572998
concepts[4].wikidata	https://www.wikidata.org/wiki/Q8366
concepts[4].display_name	Algorithm
concepts[5].id	https://openalex.org/C48372109
concepts[5].level	2
concepts[5].score	0.5296563506126404
concepts[5].wikidata	https://www.wikidata.org/wiki/Q3913
concepts[5].display_name	Binary number
concepts[6].id	https://openalex.org/C28855332
concepts[6].level	2
concepts[6].score	0.5152566432952881
concepts[6].wikidata	https://www.wikidata.org/wiki/Q198099
concepts[6].display_name	Quantization (signal processing)
concepts[7].id	https://openalex.org/C28826006
concepts[7].level	1
concepts[7].score	0.5088803768157959
concepts[7].wikidata	https://www.wikidata.org/wiki/Q33521
concepts[7].display_name	Applied mathematics
concepts[8].id	https://openalex.org/C24574437
concepts[8].level	3
concepts[8].score	0.42500829696655273
concepts[8].wikidata	https://www.wikidata.org/wiki/Q7135228
concepts[8].display_name	Parametric model
concepts[9].id	https://openalex.org/C14036430
concepts[9].level	2
concepts[9].score	0.42154091596603394
concepts[9].wikidata	https://www.wikidata.org/wiki/Q3736076
concepts[9].display_name	Function (biology)
concepts[10].id	https://openalex.org/C105795698
concepts[10].level	1
concepts[10].score	0.3881169259548187
concepts[10].wikidata	https://www.wikidata.org/wiki/Q12483
concepts[10].display_name	Statistics
concepts[11].id	https://openalex.org/C41008148
concepts[11].level	0
concepts[11].score	0.3695608079433441
concepts[11].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[11].display_name	Computer science
concepts[12].id	https://openalex.org/C86803240
concepts[12].level	0
concepts[12].score	0.0
concepts[12].wikidata	https://www.wikidata.org/wiki/Q420
concepts[12].display_name	Biology
concepts[13].id	https://openalex.org/C78458016
concepts[13].level	1
concepts[13].score	0.0
concepts[13].wikidata	https://www.wikidata.org/wiki/Q840400
concepts[13].display_name	Evolutionary biology
concepts[14].id	https://openalex.org/C94375191
concepts[14].level	1
concepts[14].score	0.0
concepts[14].wikidata	https://www.wikidata.org/wiki/Q11205
concepts[14].display_name	Arithmetic
keywords[0].id	https://openalex.org/keywords/estimator
keywords[0].score	0.8228843212127686
keywords[0].display_name	Estimator
keywords[1].id	https://openalex.org/keywords/monte-carlo-method
keywords[1].score	0.6267793774604797
keywords[1].display_name	Monte Carlo method
keywords[2].id	https://openalex.org/keywords/parametric-statistics
keywords[2].score	0.5815442204475403
keywords[2].display_name	Parametric statistics
keywords[3].id	https://openalex.org/keywords/mathematics
keywords[3].score	0.5554701089859009
keywords[3].display_name	Mathematics
keywords[4].id	https://openalex.org/keywords/algorithm
keywords[4].score	0.546302318572998
keywords[4].display_name	Algorithm
keywords[5].id	https://openalex.org/keywords/binary-number
keywords[5].score	0.5296563506126404
keywords[5].display_name	Binary number
keywords[6].id	https://openalex.org/keywords/quantization
keywords[6].score	0.5152566432952881
keywords[6].display_name	Quantization (signal processing)
keywords[7].id	https://openalex.org/keywords/applied-mathematics
keywords[7].score	0.5088803768157959
keywords[7].display_name	Applied mathematics
keywords[8].id	https://openalex.org/keywords/parametric-model
keywords[8].score	0.42500829696655273
keywords[8].display_name	Parametric model
keywords[9].id	https://openalex.org/keywords/function
keywords[9].score	0.42154091596603394
keywords[9].display_name	Function (biology)
keywords[10].id	https://openalex.org/keywords/statistics
keywords[10].score	0.3881169259548187
keywords[10].display_name	Statistics
keywords[11].id	https://openalex.org/keywords/computer-science
keywords[11].score	0.3695608079433441
keywords[11].display_name	Computer science
language	en
locations[0].id	doi:10.36227/techrxiv.22651516
locations[0].is_oa	True
locations[0].source
locations[0].license	cc-by
locations[0].pdf_url
locations[0].version	acceptedVersion
locations[0].raw_type	posted-content
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	True
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	https://doi.org/10.36227/techrxiv.22651516
indexed_in	crossref
authorships[0].author.id	https://openalex.org/A5090244413
authorships[0].author.orcid	https://orcid.org/0000-0003-0540-1287
authorships[0].author.display_name	Paolo Carbone
authorships[0].countries	IT
authorships[0].affiliations[0].institution_ids	https://openalex.org/I27483092
authorships[0].affiliations[0].raw_affiliation_string	Engineering Department University of Perugia Perugia, Italy
authorships[0].institutions[0].id	https://openalex.org/I27483092
authorships[0].institutions[0].ror	https://ror.org/00x27da85
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I27483092
authorships[0].institutions[0].country_code	IT
authorships[0].institutions[0].display_name	University of Perugia
authorships[0].author_position	first
authorships[0].raw_author_name	Paolo Carbone
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	Engineering Department University of Perugia Perugia, Italy
authorships[1].author.id	https://openalex.org/A5083411180
authorships[1].author.orcid	https://orcid.org/0000-0001-7953-4272
authorships[1].author.display_name	Alessio De Angelis
authorships[1].countries	IT
authorships[1].affiliations[0].institution_ids	https://openalex.org/I27483092
authorships[1].affiliations[0].raw_affiliation_string	Engineering Department University of Perugia Perugia, Italy
authorships[1].institutions[0].id	https://openalex.org/I27483092
authorships[1].institutions[0].ror	https://ror.org/00x27da85
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I27483092
authorships[1].institutions[0].country_code	IT
authorships[1].institutions[0].display_name	University of Perugia
authorships[1].author_position	middle
authorships[1].raw_author_name	Alessio De Angelis
authorships[1].is_corresponding	False
authorships[1].raw_affiliation_strings	Engineering Department University of Perugia Perugia, Italy
authorships[2].author.id	https://openalex.org/A5047539322
authorships[2].author.orcid	https://orcid.org/0000-0001-9807-5948
authorships[2].author.display_name	Antonio Moschitta
authorships[2].countries	IT
authorships[2].affiliations[0].institution_ids	https://openalex.org/I27483092
authorships[2].affiliations[0].raw_affiliation_string	Engineering Department University of Perugia Perugia, Italy
authorships[2].institutions[0].id	https://openalex.org/I27483092
authorships[2].institutions[0].ror	https://ror.org/00x27da85
authorships[2].institutions[0].type	education
authorships[2].institutions[0].lineage	https://openalex.org/I27483092
authorships[2].institutions[0].country_code	IT
authorships[2].institutions[0].display_name	University of Perugia
authorships[2].author_position	middle
authorships[2].raw_author_name	Antonio Moschitta
authorships[2].is_corresponding	False
authorships[2].raw_affiliation_strings	Engineering Department University of Perugia Perugia, Italy
authorships[3].author.id	https://openalex.org/A5063612109
authorships[3].author.orcid	https://orcid.org/0000-0003-4964-8556
authorships[3].author.display_name	Francesco Santoni
authorships[3].countries	IT
authorships[3].affiliations[0].institution_ids	https://openalex.org/I27483092
authorships[3].affiliations[0].raw_affiliation_string	Engineering Department University of Perugia Perugia, Italy
authorships[3].institutions[0].id	https://openalex.org/I27483092
authorships[3].institutions[0].ror	https://ror.org/00x27da85
authorships[3].institutions[0].type	education
authorships[3].institutions[0].lineage	https://openalex.org/I27483092
authorships[3].institutions[0].country_code	IT
authorships[3].institutions[0].display_name	University of Perugia
authorships[3].author_position	last
authorships[3].raw_author_name	Francesco Santoni
authorships[3].is_corresponding	False
authorships[3].raw_affiliation_strings	Engineering Department University of Perugia Perugia, Italy
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://doi.org/10.36227/techrxiv.22651516
open_access.oa_status	gold
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Asymptotic Properties of a One-bit Estimator of Parametric Signals
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T10320
primary_topic.field.id	https://openalex.org/fields/17
primary_topic.field.display_name	Computer Science
primary_topic.score	0.3260999917984009
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/1702
primary_topic.subfield.display_name	Artificial Intelligence
primary_topic.display_name	Neural Networks and Applications
related_works	https://openalex.org/W2289718384, https://openalex.org/W1995675544, https://openalex.org/W2509524819, https://openalex.org/W3127866798, https://openalex.org/W2068427817, https://openalex.org/W4294845631, https://openalex.org/W2952090425, https://openalex.org/W2012121796, https://openalex.org/W2538333368, https://openalex.org/W2043546065
cited_by_count	0
locations_count	1
best_oa_location.id	doi:10.36227/techrxiv.22651516
best_oa_location.is_oa	True
best_oa_location.source
best_oa_location.license	cc-by
best_oa_location.pdf_url
best_oa_location.version	acceptedVersion
best_oa_location.raw_type	posted-content
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	True
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	https://doi.org/10.36227/techrxiv.22651516
primary_location.id	doi:10.36227/techrxiv.22651516
primary_location.is_oa	True
primary_location.source
primary_location.license	cc-by
primary_location.pdf_url
primary_location.version	acceptedVersion
primary_location.raw_type	posted-content
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	True
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	https://doi.org/10.36227/techrxiv.22651516
publication_date	2023-04-25
publication_year	2023
referenced_works	https://openalex.org/W4285190668, https://openalex.org/W2037782367, https://openalex.org/W2155254070, https://openalex.org/W2154828437, https://openalex.org/W3010735838, https://openalex.org/W1822828417, https://openalex.org/W2925866960, https://openalex.org/W2560308514, https://openalex.org/W2057701177, https://openalex.org/W2526144952, https://openalex.org/W3113043584, https://openalex.org/W3209023869, https://openalex.org/W1991524211, https://openalex.org/W2108718971, https://openalex.org/W3105683115, https://openalex.org/W4300000261, https://openalex.org/W4206180546
referenced_works_count	17
abstract_inverted_index.a	9, 58
abstract_inverted_index.It	17, 32
abstract_inverted_index.an	3, 19
abstract_inverted_index.in	8, 51
abstract_inverted_index.is	44, 49, 60
abstract_inverted_index.of	5, 21, 28
abstract_inverted_index.on	13
abstract_inverted_index.to	36, 62
abstract_inverted_index.for	25
abstract_inverted_index.how	35
abstract_inverted_index.its	14
abstract_inverted_index.the	6, 22, 29, 38, 42, 52, 64, 71
abstract_inverted_index.also	33
abstract_inverted_index.cost	39
abstract_inverted_index.data	30
abstract_inverted_index.set.	31
abstract_inverted_index.when	41
abstract_inverted_index.Carlo	68
abstract_inverted_index.Monte	67
abstract_inverted_index.based	12
abstract_inverted_index.noise	48
abstract_inverted_index.paper	1
abstract_inverted_index.shows	18, 34
abstract_inverted_index.binary	15
abstract_inverted_index.errors	24
abstract_inverted_index.having	54
abstract_inverted_index.method	59
abstract_inverted_index.model,	53
abstract_inverted_index.assumed	50
abstract_inverted_index.express	37
abstract_inverted_index.growing	26
abstract_inverted_index.lengths	27
abstract_inverted_index.minimum	43
abstract_inverted_index.results	69
abstract_inverted_index.signal,	11
abstract_inverted_index.additive	47
abstract_inverted_index.analysis	20
abstract_inverted_index.process.	66
abstract_inverted_index.proposed	72
abstract_inverted_index.reached.	45
abstract_inverted_index.validate	63, 70
abstract_inverted_index.Zero-mean	46
abstract_inverted_index.considers	2
abstract_inverted_index.estimator	4
abstract_inverted_index.function,	40
abstract_inverted_index.outcomes.	56
abstract_inverted_index.estimation	65
abstract_inverted_index.introduced	61
abstract_inverted_index.parameters	7
abstract_inverted_index.systematic	23
abstract_inverted_index.independent	55
abstract_inverted_index.Furthermore,	57
abstract_inverted_index.<p>This	0
abstract_inverted_index.quantization.	16
abstract_inverted_index.analyses.</p>	73
abstract_inverted_index.linear-in-the-parameter	10
cited_by_percentile_year
countries_distinct_count	1
institutions_distinct_count	4
sustainable_development_goals[0].id	https://metadata.un.org/sdg/9
sustainable_development_goals[0].score	0.4000000059604645
sustainable_development_goals[0].display_name	Industry, innovation and infrastructure
citation_normalized_percentile.value	0.04535689
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False