Chained-Function Filter Synthesis Based on the Legendre Polynomials View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2017-09-08

AUTHORS

Nikola Stojanović, Negovan Stamenković, Ivan Krstić

ABSTRACT

A new kind of filter called Legendre chained-function (LCF) filter with characteristic function given by the product of low-degree Legendre orthogonal polynomials (seed functions) is studied in this paper. LCF filter magnitude response exhibits unequal ripple level in the passband compared to Chebyshev chained-function filter with identical edge ripple factor at the passband edge. A proper combination of seed functions, i.e., a product of them, is used to control the maximum ripple in the passband, which affects the return loss, selectivity and a group delay characteristics of a filter. By selecting one of the possible combinations of seed functions (thus obtaining various degrees of freedom in filter design), filters with improved performances compared to traditional approximation techniques can be obtained. The degrees of freedom increase if the degree of filter increases. Compared to existing Chebyshev chained-function (CCF) filters, whose performances are also presented, and Butterworth function filters as a special case of both LCF and CCF filters, the new family of LCF filters has many advantages. A table summarizing properties of CCF and LCF filters is given for design purpose. More... »

PAGES

2001-2020

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00034-017-0651-1

DOI

http://dx.doi.org/10.1007/s00034-017-0651-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091510691


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Faculty of Electronic Engineering, University of Ni\u0161, A. Medvedeva 14, 18000, Ni\u0161, Serbia", 
          "id": "http://www.grid.ac/institutes/grid.11374.30", 
          "name": [
            "Faculty of Electronic Engineering, University of Ni\u0161, A. Medvedeva 14, 18000, Ni\u0161, Serbia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Stojanovi\u0107", 
        "givenName": "Nikola", 
        "id": "sg:person.0616343227.96", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0616343227.96"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Faculty of Natural Science and Mathematics, University of Pri\u0161tina, 38220, Kosovska Mitrovica, Serbia", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Faculty of Natural Science and Mathematics, University of Pri\u0161tina, 38220, Kosovska Mitrovica, Serbia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Stamenkovi\u0107", 
        "givenName": "Negovan", 
        "id": "sg:person.015504410553.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015504410553.14"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Faculty of Technical Science, University of Pri\u0161tina, Knjaza Milo\u0161a 7, 38220, Kosovska Mitrovica, Serbia", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Faculty of Technical Science, University of Pri\u0161tina, Knjaza Milo\u0161a 7, 38220, Kosovska Mitrovica, Serbia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Krsti\u0107", 
        "givenName": "Ivan", 
        "id": "sg:person.015225142615.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015225142615.10"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01187721", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007350410", 
          "https://doi.org/10.1007/bf01187721"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01387163", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040226517", 
          "https://doi.org/10.1007/bf01387163"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-007-2190-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024113672", 
          "https://doi.org/10.1007/978-94-007-2190-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00034-002-2006-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042723641", 
          "https://doi.org/10.1007/s00034-002-2006-8"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2017-09-08", 
    "datePublishedReg": "2017-09-08", 
    "description": "A new kind of filter called Legendre chained-function (LCF) filter with characteristic function given by the product of low-degree Legendre orthogonal polynomials (seed functions) is studied in this paper. LCF filter magnitude response exhibits unequal ripple level in the passband compared to Chebyshev chained-function filter with identical edge ripple factor at the passband edge. A proper combination of seed functions, i.e., a product of them, is used to control the maximum ripple in the passband, which affects the return loss, selectivity and a group delay characteristics of a filter. By selecting one of the possible combinations of seed functions (thus obtaining various degrees of freedom in filter design), filters with improved performances compared to traditional approximation techniques can be obtained. The degrees of freedom increase if the degree of filter increases. Compared to existing Chebyshev chained-function (CCF) filters, whose performances are also presented, and Butterworth function filters as a special case of both LCF and CCF filters, the new family of LCF filters has many advantages. A table summarizing properties of CCF and LCF filters is given for design purpose.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s00034-017-0651-1", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136068", 
        "issn": [
          "0278-081X", 
          "1531-5878"
        ], 
        "name": "Circuits, Systems, and Signal Processing", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "37"
      }
    ], 
    "keywords": [
      "increase", 
      "function", 
      "response", 
      "combination", 
      "levels", 
      "factors", 
      "cases", 
      "degree", 
      "loss", 
      "CCF", 
      "family", 
      "purpose", 
      "characteristics", 
      "products", 
      "possible combinations", 
      "technique", 
      "synthesis", 
      "advantages", 
      "table", 
      "filter increases", 
      "selectivity", 
      "performance", 
      "LCF", 
      "new family", 
      "filter magnitude response", 
      "ripple factor", 
      "design purposes", 
      "return loss", 
      "group delay characteristics", 
      "ripple level", 
      "passband edges", 
      "maximum ripple", 
      "improved performance", 
      "Legendre orthogonal polynomials", 
      "magnitude response", 
      "delay characteristics", 
      "filter", 
      "proper combination", 
      "properties", 
      "filter synthesis", 
      "kind", 
      "passband", 
      "function filter", 
      "new kind", 
      "ripple", 
      "freedom increases", 
      "approximation technique", 
      "seed function", 
      "edge", 
      "Legendre polynomials", 
      "special case", 
      "paper", 
      "orthogonal polynomials", 
      "polynomials", 
      "characteristic function", 
      "traditional approximation techniques"
    ], 
    "name": "Chained-Function Filter Synthesis Based on the Legendre Polynomials", 
    "pagination": "2001-2020", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1091510691"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00034-017-0651-1"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00034-017-0651-1", 
      "https://app.dimensions.ai/details/publication/pub.1091510691"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-12-01T06:35", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20221201/entities/gbq_results/article/article_718.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s00034-017-0651-1"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00034-017-0651-1'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00034-017-0651-1'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00034-017-0651-1'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00034-017-0651-1'


 

This table displays all metadata directly associated to this object as RDF triples.

148 TRIPLES      21 PREDICATES      84 URIs      72 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00034-017-0651-1 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author Na552bf07abf54e6eacad7db7b70ec686
4 schema:citation sg:pub.10.1007/978-94-007-2190-6
5 sg:pub.10.1007/bf01187721
6 sg:pub.10.1007/bf01387163
7 sg:pub.10.1007/s00034-002-2006-8
8 schema:datePublished 2017-09-08
9 schema:datePublishedReg 2017-09-08
10 schema:description A new kind of filter called Legendre chained-function (LCF) filter with characteristic function given by the product of low-degree Legendre orthogonal polynomials (seed functions) is studied in this paper. LCF filter magnitude response exhibits unequal ripple level in the passband compared to Chebyshev chained-function filter with identical edge ripple factor at the passband edge. A proper combination of seed functions, i.e., a product of them, is used to control the maximum ripple in the passband, which affects the return loss, selectivity and a group delay characteristics of a filter. By selecting one of the possible combinations of seed functions (thus obtaining various degrees of freedom in filter design), filters with improved performances compared to traditional approximation techniques can be obtained. The degrees of freedom increase if the degree of filter increases. Compared to existing Chebyshev chained-function (CCF) filters, whose performances are also presented, and Butterworth function filters as a special case of both LCF and CCF filters, the new family of LCF filters has many advantages. A table summarizing properties of CCF and LCF filters is given for design purpose.
11 schema:genre article
12 schema:isAccessibleForFree false
13 schema:isPartOf N5681faf1ed3f417b9840c16ab760c831
14 Naea78680fed84f19bb04e25d3e345c26
15 sg:journal.1136068
16 schema:keywords CCF
17 LCF
18 Legendre orthogonal polynomials
19 Legendre polynomials
20 advantages
21 approximation technique
22 cases
23 characteristic function
24 characteristics
25 combination
26 degree
27 delay characteristics
28 design purposes
29 edge
30 factors
31 family
32 filter
33 filter increases
34 filter magnitude response
35 filter synthesis
36 freedom increases
37 function
38 function filter
39 group delay characteristics
40 improved performance
41 increase
42 kind
43 levels
44 loss
45 magnitude response
46 maximum ripple
47 new family
48 new kind
49 orthogonal polynomials
50 paper
51 passband
52 passband edges
53 performance
54 polynomials
55 possible combinations
56 products
57 proper combination
58 properties
59 purpose
60 response
61 return loss
62 ripple
63 ripple factor
64 ripple level
65 seed function
66 selectivity
67 special case
68 synthesis
69 table
70 technique
71 traditional approximation techniques
72 schema:name Chained-Function Filter Synthesis Based on the Legendre Polynomials
73 schema:pagination 2001-2020
74 schema:productId N934712fa5112496990eec862527bc547
75 Ndf12dd608137442ea34591411c7eddd4
76 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091510691
77 https://doi.org/10.1007/s00034-017-0651-1
78 schema:sdDatePublished 2022-12-01T06:35
79 schema:sdLicense https://scigraph.springernature.com/explorer/license/
80 schema:sdPublisher N3dd8ab7ad680470480f66a2d464b35e2
81 schema:url https://doi.org/10.1007/s00034-017-0651-1
82 sgo:license sg:explorer/license/
83 sgo:sdDataset articles
84 rdf:type schema:ScholarlyArticle
85 N32f9aa9f11aa4173a3bd981f9cda0ab0 rdf:first sg:person.015225142615.10
86 rdf:rest rdf:nil
87 N3792cbc77c754736aa42a6b1354d690e rdf:first sg:person.015504410553.14
88 rdf:rest N32f9aa9f11aa4173a3bd981f9cda0ab0
89 N3dd8ab7ad680470480f66a2d464b35e2 schema:name Springer Nature - SN SciGraph project
90 rdf:type schema:Organization
91 N5681faf1ed3f417b9840c16ab760c831 schema:issueNumber 5
92 rdf:type schema:PublicationIssue
93 N934712fa5112496990eec862527bc547 schema:name doi
94 schema:value 10.1007/s00034-017-0651-1
95 rdf:type schema:PropertyValue
96 Na552bf07abf54e6eacad7db7b70ec686 rdf:first sg:person.0616343227.96
97 rdf:rest N3792cbc77c754736aa42a6b1354d690e
98 Naea78680fed84f19bb04e25d3e345c26 schema:volumeNumber 37
99 rdf:type schema:PublicationVolume
100 Ndf12dd608137442ea34591411c7eddd4 schema:name dimensions_id
101 schema:value pub.1091510691
102 rdf:type schema:PropertyValue
103 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
104 schema:name Engineering
105 rdf:type schema:DefinedTerm
106 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
107 schema:name Materials Engineering
108 rdf:type schema:DefinedTerm
109 sg:journal.1136068 schema:issn 0278-081X
110 1531-5878
111 schema:name Circuits, Systems, and Signal Processing
112 schema:publisher Springer Nature
113 rdf:type schema:Periodical
114 sg:person.015225142615.10 schema:affiliation grid-institutes:None
115 schema:familyName Krstić
116 schema:givenName Ivan
117 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015225142615.10
118 rdf:type schema:Person
119 sg:person.015504410553.14 schema:affiliation grid-institutes:None
120 schema:familyName Stamenković
121 schema:givenName Negovan
122 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015504410553.14
123 rdf:type schema:Person
124 sg:person.0616343227.96 schema:affiliation grid-institutes:grid.11374.30
125 schema:familyName Stojanović
126 schema:givenName Nikola
127 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0616343227.96
128 rdf:type schema:Person
129 sg:pub.10.1007/978-94-007-2190-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024113672
130 https://doi.org/10.1007/978-94-007-2190-6
131 rdf:type schema:CreativeWork
132 sg:pub.10.1007/bf01187721 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007350410
133 https://doi.org/10.1007/bf01187721
134 rdf:type schema:CreativeWork
135 sg:pub.10.1007/bf01387163 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040226517
136 https://doi.org/10.1007/bf01387163
137 rdf:type schema:CreativeWork
138 sg:pub.10.1007/s00034-002-2006-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042723641
139 https://doi.org/10.1007/s00034-002-2006-8
140 rdf:type schema:CreativeWork
141 grid-institutes:None schema:alternateName Faculty of Natural Science and Mathematics, University of Priština, 38220, Kosovska Mitrovica, Serbia
142 Faculty of Technical Science, University of Priština, Knjaza Miloša 7, 38220, Kosovska Mitrovica, Serbia
143 schema:name Faculty of Natural Science and Mathematics, University of Priština, 38220, Kosovska Mitrovica, Serbia
144 Faculty of Technical Science, University of Priština, Knjaza Miloša 7, 38220, Kosovska Mitrovica, Serbia
145 rdf:type schema:Organization
146 grid-institutes:grid.11374.30 schema:alternateName Faculty of Electronic Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia
147 schema:name Faculty of Electronic Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia
148 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...