Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions
Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the sy...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gnativ, L. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Cybernetics and systems analysis - Kluwer Academic Publishers-Consultants Bureau, 1992, 41(2005), 3 vom: Mai, Seite 415-426 |
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| Übergeordnetes Werk: |
volume:41 ; year:2005 ; number:3 ; month:05 ; pages:415-426 |
| Links: |
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| DOI / URN: |
10.1007/s10559-005-0075-y |
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OLC2071462300 |
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| 520 | |a Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal. | ||
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10.1007/s10559-005-0075-y doi (DE-627)OLC2071462300 (DE-He213)s10559-005-0075-y-p DE-627 ger DE-627 rakwb eng 000 VZ Gnativ, L. A. verfasserin aut Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2005 Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal. step functions inclined lines complete systems of functions slant transforms low-correlation transform high-correlation transform Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Consultants Bureau, 1992 41(2005), 3 vom: Mai, Seite 415-426 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:41 year:2005 number:3 month:05 pages:415-426 https://doi.org/10.1007/s10559-005-0075-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_285 GBV_ILN_4319 GBV_ILN_4700 AR 41 2005 3 05 415-426 |
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10.1007/s10559-005-0075-y doi (DE-627)OLC2071462300 (DE-He213)s10559-005-0075-y-p DE-627 ger DE-627 rakwb eng 000 VZ Gnativ, L. A. verfasserin aut Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2005 Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal. step functions inclined lines complete systems of functions slant transforms low-correlation transform high-correlation transform Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Consultants Bureau, 1992 41(2005), 3 vom: Mai, Seite 415-426 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:41 year:2005 number:3 month:05 pages:415-426 https://doi.org/10.1007/s10559-005-0075-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_285 GBV_ILN_4319 GBV_ILN_4700 AR 41 2005 3 05 415-426 |
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10.1007/s10559-005-0075-y doi (DE-627)OLC2071462300 (DE-He213)s10559-005-0075-y-p DE-627 ger DE-627 rakwb eng 000 VZ Gnativ, L. A. verfasserin aut Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2005 Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal. step functions inclined lines complete systems of functions slant transforms low-correlation transform high-correlation transform Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Consultants Bureau, 1992 41(2005), 3 vom: Mai, Seite 415-426 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:41 year:2005 number:3 month:05 pages:415-426 https://doi.org/10.1007/s10559-005-0075-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_285 GBV_ILN_4319 GBV_ILN_4700 AR 41 2005 3 05 415-426 |
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A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2005</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, Inc. 2005</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">step functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">inclined lines</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">complete systems of functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">slant transforms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">low-correlation transform</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">high-correlation transform</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Cybernetics and systems analysis</subfield><subfield code="d">Kluwer Academic Publishers-Consultants Bureau, 1992</subfield><subfield code="g">41(2005), 3 vom: Mai, Seite 415-426</subfield><subfield code="w">(DE-627)131081225</subfield><subfield code="w">(DE-600)1112963-3</subfield><subfield code="w">(DE-576)029167868</subfield><subfield code="x">1060-0396</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:41</subfield><subfield code="g">year:2005</subfield><subfield code="g">number:3</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:415-426</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10559-005-0075-y</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4319</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">41</subfield><subfield code="j">2005</subfield><subfield code="e">3</subfield><subfield code="c">05</subfield><subfield code="h">415-426</subfield></datafield></record></collection>
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