Wavelet-Based Synthesis of a Multifractional Process
The multifractional process is introduced as a natural extension of traditional monofractional process. The selling point of multifractional process is that its Hölder regularity is allowed to vary from point to point, such that makes it a promising model for those stochastic processes whose regular...
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| creator | Wang, Zhao-rui Lü, Shan-wei Nakamura, Taketsune |
| description | The multifractional process is introduced as a natural extension of traditional monofractional process. The selling point of multifractional process is that its Hölder regularity is allowed to vary from point to point, such that makes it a promising model for those stochastic processes whose regularity evolves in time. A new wavelet-based algorithm to synthesize a realization of multifractional process is proposed, and the validity is verified by numerical experiments and real-world data. |
| doi_str_mv | 10.1109/CISP.2008.709 |
| format | Conference Proceeding |
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The selling point of multifractional process is that its Hölder regularity is allowed to vary from point to point, such that makes it a promising model for those stochastic processes whose regularity evolves in time. A new wavelet-based algorithm to synthesize a realization of multifractional process is proposed, and the validity is verified by numerical experiments and real-world data.</description><identifier>ISBN: 9780769531199</identifier><identifier>ISBN: 0769531199</identifier><identifier>DOI: 10.1109/CISP.2008.709</identifier><identifier>LCCN: 2007943153</identifier><language>eng</language><publisher>IEEE</publisher><subject>1f noise ; Fractals ; Frequency measurement ; Noise measurement ; Signal analysis ; Signal processing ; Signal processing algorithms ; Signal synthesis ; Stochastic processes ; Wavelet transforms</subject><ispartof>2008 Congress on Image and Signal Processing, 2008, Vol.4, p.331-334</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4566671$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2056,27924,54919</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4566671$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Wang, Zhao-rui</creatorcontrib><creatorcontrib>Lü, Shan-wei</creatorcontrib><creatorcontrib>Nakamura, Taketsune</creatorcontrib><title>Wavelet-Based Synthesis of a Multifractional Process</title><title>2008 Congress on Image and Signal Processing</title><addtitle>CISP</addtitle><description>The multifractional process is introduced as a natural extension of traditional monofractional process. The selling point of multifractional process is that its Hölder regularity is allowed to vary from point to point, such that makes it a promising model for those stochastic processes whose regularity evolves in time. A new wavelet-based algorithm to synthesize a realization of multifractional process is proposed, and the validity is verified by numerical experiments and real-world data.</description><subject>1f noise</subject><subject>Fractals</subject><subject>Frequency measurement</subject><subject>Noise measurement</subject><subject>Signal analysis</subject><subject>Signal processing</subject><subject>Signal processing algorithms</subject><subject>Signal synthesis</subject><subject>Stochastic processes</subject><subject>Wavelet transforms</subject><isbn>9780769531199</isbn><isbn>0769531199</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotjs1Kw0AURgekoNYsXbnJC6TOzc1kcpca_ClULFRxWe5M7uBIbCQThb69Af02Z3Hg8Cl1CXoFoOm6Xe-2q1LrZmU1naiMbKNtTQYBiBbqfFaWKgSDpypL6UPPQ6pI45mq3vhHepmKW07S5bvjYXqXFFM-hJzzp-9-imFkP8XhwH2-HQcvKV2oReA-SfbPpXq9v3tpH4vN88O6vdkUEayZCsdcI7qOvaA3JlDA4EvfQOeo85UEsczOMTiCMB_uAhprCcA5xLJpcKmu_rpRRPZfY_zk8bivTF3XFvAXZXVGkw</recordid><startdate>200805</startdate><enddate>200805</enddate><creator>Wang, Zhao-rui</creator><creator>Lü, Shan-wei</creator><creator>Nakamura, Taketsune</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200805</creationdate><title>Wavelet-Based Synthesis of a Multifractional Process</title><author>Wang, Zhao-rui ; Lü, Shan-wei ; Nakamura, Taketsune</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-baa633bdace3c55f9f3fc2c81db9dc4efe7aabba1b91f769df3577911bb332883</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>1f noise</topic><topic>Fractals</topic><topic>Frequency measurement</topic><topic>Noise measurement</topic><topic>Signal analysis</topic><topic>Signal processing</topic><topic>Signal processing algorithms</topic><topic>Signal synthesis</topic><topic>Stochastic processes</topic><topic>Wavelet transforms</topic><toplevel>online_resources</toplevel><creatorcontrib>Wang, Zhao-rui</creatorcontrib><creatorcontrib>Lü, Shan-wei</creatorcontrib><creatorcontrib>Nakamura, Taketsune</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wang, Zhao-rui</au><au>Lü, Shan-wei</au><au>Nakamura, Taketsune</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Wavelet-Based Synthesis of a Multifractional Process</atitle><btitle>2008 Congress on Image and Signal Processing</btitle><stitle>CISP</stitle><date>2008-05</date><risdate>2008</risdate><volume>4</volume><spage>331</spage><epage>334</epage><pages>331-334</pages><isbn>9780769531199</isbn><isbn>0769531199</isbn><abstract>The multifractional process is introduced as a natural extension of traditional monofractional process. The selling point of multifractional process is that its Hölder regularity is allowed to vary from point to point, such that makes it a promising model for those stochastic processes whose regularity evolves in time. A new wavelet-based algorithm to synthesize a realization of multifractional process is proposed, and the validity is verified by numerical experiments and real-world data.</abstract><pub>IEEE</pub><doi>10.1109/CISP.2008.709</doi><tpages>4</tpages></addata></record> |
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| ispartof | 2008 Congress on Image and Signal Processing, 2008, Vol.4, p.331-334 |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | 1f noise Fractals Frequency measurement Noise measurement Signal analysis Signal processing Signal processing algorithms Signal synthesis Stochastic processes Wavelet transforms |
| title | Wavelet-Based Synthesis of a Multifractional Process |
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