On the relationship between 1/f and alpha-stable processes
1/f/sup /spl beta//-type spectral behavior has received considerable attention in the literature because it arises from a wide range of natural phenomena. In this paper we consider a filtered Poisson process model, and show that this model gives rise to a power-law /spl alpha/-stable process if /spl...
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| creator | Jijun Yin Petropulu, A.P. |
| description | 1/f/sup /spl beta//-type spectral behavior has received considerable attention in the literature because it arises from a wide range of natural phenomena. In this paper we consider a filtered Poisson process model, and show that this model gives rise to a power-law /spl alpha/-stable process if /spl beta/ |
| doi_str_mv | 10.1109/ISIT.1998.708907 |
| format | Conference Proceeding |
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In this paper we consider a filtered Poisson process model, and show that this model gives rise to a power-law /spl alpha/-stable process if /spl beta/<1, or to a process with power-law /spl alpha/-stable increments if 1</spl beta/<3. Based on the relationship between /spl alpha/ and /spl beta/ we propose a new method for the estimation of the spectral exponent of the sample spectrum, which is particularly robust in the case 0</spl beta/<1.</description><identifier>ISBN: 0780350006</identifier><identifier>ISBN: 9780780350007</identifier><identifier>DOI: 10.1109/ISIT.1998.708907</identifier><language>eng</language><publisher>Piscataway NJ: IEEE</publisher><subject>1f noise ; Applied sciences ; Detection, estimation, filtering, equalization, prediction ; Economic forecasting ; Exact sciences and technology ; Fuel economy ; Gaussian distribution ; Information, signal and communications theory ; Maximum likelihood estimation ; Power generation economics ; Robustness ; Signal and communications theory ; Signal, noise ; Stochastic processes ; Telecommunication traffic ; Telecommunications and information theory ; Wavelet analysis</subject><ispartof>Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. 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Based on the relationship between /spl alpha/ and /spl beta/ we propose a new method for the estimation of the spectral exponent of the sample spectrum, which is particularly robust in the case 0</spl beta/<1.</description><subject>1f noise</subject><subject>Applied sciences</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Economic forecasting</subject><subject>Exact sciences and technology</subject><subject>Fuel economy</subject><subject>Gaussian distribution</subject><subject>Information, signal and communications theory</subject><subject>Maximum likelihood estimation</subject><subject>Power generation economics</subject><subject>Robustness</subject><subject>Signal and communications theory</subject><subject>Signal, noise</subject><subject>Stochastic processes</subject><subject>Telecommunication traffic</subject><subject>Telecommunications and information theory</subject><subject>Wavelet analysis</subject><isbn>0780350006</isbn><isbn>9780780350007</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1998</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo9kM1LxDAUxAMiqOvexVMOXrv7ktekiTdZ_Cgs7MH1vLymrzRSu6UpiP-9hYqnGZgfAzNC3CnYKAV-W76Xx43y3m0KcB6KC3EDhQM0AGCvxDqlz9lBbgwgXovHQy-nluXIHU3x3Kc2DrLi6Zu5l2rbSOprSd3QUpYmqjqWw3gOnBKnW3HZUJd4_acr8fHyfNy9ZfvDa7l72mdRA04ZK2srV1ntvM4RG2Uw11qRQV-FUFsM3mJtNGFtjW8CkfPGYDC5pdygwpV4WHoHSoG6ZqQ-xHQaxvhF489p3uot2Bm7X7DIzP_pcgL-AkzkUCU</recordid><startdate>1998</startdate><enddate>1998</enddate><creator>Jijun Yin</creator><creator>Petropulu, A.P.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope><scope>IQODW</scope></search><sort><creationdate>1998</creationdate><title>On the relationship between 1/f and alpha-stable processes</title><author>Jijun Yin ; Petropulu, A.P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i203t-e166b8b62892433f1534221a539bccd63c963d52a3d659fcaa89553c546a45313</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1998</creationdate><topic>1f noise</topic><topic>Applied sciences</topic><topic>Detection, estimation, filtering, equalization, prediction</topic><topic>Economic forecasting</topic><topic>Exact sciences and technology</topic><topic>Fuel economy</topic><topic>Gaussian distribution</topic><topic>Information, signal and communications theory</topic><topic>Maximum likelihood estimation</topic><topic>Power generation economics</topic><topic>Robustness</topic><topic>Signal and communications theory</topic><topic>Signal, noise</topic><topic>Stochastic processes</topic><topic>Telecommunication traffic</topic><topic>Telecommunications and information theory</topic><topic>Wavelet analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Jijun Yin</creatorcontrib><creatorcontrib>Petropulu, A.P.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jijun Yin</au><au>Petropulu, A.P.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On the relationship between 1/f and alpha-stable processes</atitle><btitle>Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252)</btitle><stitle>ISIT</stitle><date>1998</date><risdate>1998</risdate><spage>302</spage><pages>302-</pages><isbn>0780350006</isbn><isbn>9780780350007</isbn><abstract>1/f/sup /spl beta//-type spectral behavior has received considerable attention in the literature because it arises from a wide range of natural phenomena. In this paper we consider a filtered Poisson process model, and show that this model gives rise to a power-law /spl alpha/-stable process if /spl beta/<1, or to a process with power-law /spl alpha/-stable increments if 1</spl beta/<3. Based on the relationship between /spl alpha/ and /spl beta/ we propose a new method for the estimation of the spectral exponent of the sample spectrum, which is particularly robust in the case 0</spl beta/<1.</abstract><cop>Piscataway NJ</cop><pub>IEEE</pub><doi>10.1109/ISIT.1998.708907</doi></addata></record> |
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| ispartof | Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 1998, p.302 |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | 1f noise Applied sciences Detection, estimation, filtering, equalization, prediction Economic forecasting Exact sciences and technology Fuel economy Gaussian distribution Information, signal and communications theory Maximum likelihood estimation Power generation economics Robustness Signal and communications theory Signal, noise Stochastic processes Telecommunication traffic Telecommunications and information theory Wavelet analysis |
| title | On the relationship between 1/f and alpha-stable processes |
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