On amplitude and frequency demodulation using energy operators
It is shown that the nonlinear energy-tracking signal operator Psi (x)=(dx/dt)/sup 2/-xd/sup 2/x/dt/sup 2/ and its discrete-time counterpart can estimate the AM and FM modulating signals. Specifically, Psi can approximately estimate the amplitude envelope of AM signals and the instantaneous frequenc...
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| Veröffentlicht in: | IEEE transactions on signal processing 1993-04, Vol.41 (4), p.1532-1550 |
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| container_title | IEEE transactions on signal processing |
| container_volume | 41 |
| creator | Maragos, P. Kaiser, J.F. Quatieri, T.F. |
| description | It is shown that the nonlinear energy-tracking signal operator Psi (x)=(dx/dt)/sup 2/-xd/sup 2/x/dt/sup 2/ and its discrete-time counterpart can estimate the AM and FM modulating signals. Specifically, Psi can approximately estimate the amplitude envelope of AM signals and the instantaneous frequency of FM signals. Bounds are derived for the approximation errors, which are negligible under general realistic conditions. These results, coupled with the simplicity of Psi , establish the usefulness of the energy operator for AM and FM signal demodulation. These ideas are then extended to a more general class of signals that are sine waves with a time-varying amplitude and frequency and thus contain both an AM and an FM component; for such signals it is shown that Psi can approximately track the product of their amplitude envelope and their instantaneous frequency. The theoretical analysis is done for both continuous- and discrete-time signals.< > |
| doi_str_mv | 10.1109/78.212729 |
| format | Article |
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Specifically, Psi can approximately estimate the amplitude envelope of AM signals and the instantaneous frequency of FM signals. Bounds are derived for the approximation errors, which are negligible under general realistic conditions. These results, coupled with the simplicity of Psi , establish the usefulness of the energy operator for AM and FM signal demodulation. These ideas are then extended to a more general class of signals that are sine waves with a time-varying amplitude and frequency and thus contain both an AM and an FM component; for such signals it is shown that Psi can approximately track the product of their amplitude envelope and their instantaneous frequency. The theoretical analysis is done for both continuous- and discrete-time signals.< ></description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/78.212729</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Demodulation ; Exact sciences and technology ; Frequency modulation ; Information, signal and communications theory ; Intelligent control ; Laboratories ; Modulation, demodulation ; Oscillators ; Signal analysis ; Signal and communications theory ; Signal generators ; Speech analysis ; Speech processing ; Telecommunications and information theory ; Underwater vehicles</subject><ispartof>IEEE transactions on signal processing, 1993-04, Vol.41 (4), p.1532-1550</ispartof><rights>1993 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c306t-65e51ec6b05b8cac6a64601e8b9ba1bc87a5b35089a371f975dc7ea3734b44963</citedby><cites>FETCH-LOGICAL-c306t-65e51ec6b05b8cac6a64601e8b9ba1bc87a5b35089a371f975dc7ea3734b44963</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/212729$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/212729$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4719379$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Maragos, P.</creatorcontrib><creatorcontrib>Kaiser, J.F.</creatorcontrib><creatorcontrib>Quatieri, T.F.</creatorcontrib><title>On amplitude and frequency demodulation using energy operators</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>It is shown that the nonlinear energy-tracking signal operator Psi (x)=(dx/dt)/sup 2/-xd/sup 2/x/dt/sup 2/ and its discrete-time counterpart can estimate the AM and FM modulating signals. Specifically, Psi can approximately estimate the amplitude envelope of AM signals and the instantaneous frequency of FM signals. Bounds are derived for the approximation errors, which are negligible under general realistic conditions. These results, coupled with the simplicity of Psi , establish the usefulness of the energy operator for AM and FM signal demodulation. These ideas are then extended to a more general class of signals that are sine waves with a time-varying amplitude and frequency and thus contain both an AM and an FM component; for such signals it is shown that Psi can approximately track the product of their amplitude envelope and their instantaneous frequency. The theoretical analysis is done for both continuous- and discrete-time signals.< ></description><subject>Applied sciences</subject><subject>Demodulation</subject><subject>Exact sciences and technology</subject><subject>Frequency modulation</subject><subject>Information, signal and communications theory</subject><subject>Intelligent control</subject><subject>Laboratories</subject><subject>Modulation, demodulation</subject><subject>Oscillators</subject><subject>Signal analysis</subject><subject>Signal and communications theory</subject><subject>Signal generators</subject><subject>Speech analysis</subject><subject>Speech processing</subject><subject>Telecommunications and information theory</subject><subject>Underwater vehicles</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNo9kM1Lw0AUxBdRsFYPXj3lIIKH1N3s90WQ4hcUelHwFl42LyWSbOJucuh_b0pKT2_g_WYYhpBbRleMUfukzSpjmc7sGVkwK1hKhVbnk6aSp9Lon0tyFeMvpUwIqxbkeesTaPumHsYSE_BlUgX8G9G7fVJi25VjA0Pd-WSMtd8l6DHs9knXY4ChC_GaXFTQRLw53iX5fnv9Wn-km-375_plkzpO1ZAqiZKhUwWVhXHgFCihKENT2AJY4YwGWXBJjQWuWWW1LJ3GSXNRHHryJXmYc_vQTe3ikLd1dNg04LEbY54ZkSll6QQ-zqALXYwBq7wPdQthnzOaHxbKtcnnhSb2_hgK0UFTBfCujieD0MxyfcDuZqxGxNP3mPEPpahtfA</recordid><startdate>19930401</startdate><enddate>19930401</enddate><creator>Maragos, P.</creator><creator>Kaiser, J.F.</creator><creator>Quatieri, T.F.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19930401</creationdate><title>On amplitude and frequency demodulation using energy operators</title><author>Maragos, P. ; Kaiser, J.F. ; Quatieri, T.F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c306t-65e51ec6b05b8cac6a64601e8b9ba1bc87a5b35089a371f975dc7ea3734b44963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Applied sciences</topic><topic>Demodulation</topic><topic>Exact sciences and technology</topic><topic>Frequency modulation</topic><topic>Information, signal and communications theory</topic><topic>Intelligent control</topic><topic>Laboratories</topic><topic>Modulation, demodulation</topic><topic>Oscillators</topic><topic>Signal analysis</topic><topic>Signal and communications theory</topic><topic>Signal generators</topic><topic>Speech analysis</topic><topic>Speech processing</topic><topic>Telecommunications and information theory</topic><topic>Underwater vehicles</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Maragos, P.</creatorcontrib><creatorcontrib>Kaiser, J.F.</creatorcontrib><creatorcontrib>Quatieri, T.F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Maragos, P.</au><au>Kaiser, J.F.</au><au>Quatieri, T.F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On amplitude and frequency demodulation using energy operators</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>1993-04-01</date><risdate>1993</risdate><volume>41</volume><issue>4</issue><spage>1532</spage><epage>1550</epage><pages>1532-1550</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><abstract>It is shown that the nonlinear energy-tracking signal operator Psi (x)=(dx/dt)/sup 2/-xd/sup 2/x/dt/sup 2/ and its discrete-time counterpart can estimate the AM and FM modulating signals. Specifically, Psi can approximately estimate the amplitude envelope of AM signals and the instantaneous frequency of FM signals. Bounds are derived for the approximation errors, which are negligible under general realistic conditions. These results, coupled with the simplicity of Psi , establish the usefulness of the energy operator for AM and FM signal demodulation. These ideas are then extended to a more general class of signals that are sine waves with a time-varying amplitude and frequency and thus contain both an AM and an FM component; for such signals it is shown that Psi can approximately track the product of their amplitude envelope and their instantaneous frequency. The theoretical analysis is done for both continuous- and discrete-time signals.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/78.212729</doi><tpages>19</tpages></addata></record> |
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| identifier | ISSN: 1053-587X |
| ispartof | IEEE transactions on signal processing, 1993-04, Vol.41 (4), p.1532-1550 |
| issn | 1053-587X 1941-0476 |
| language | eng |
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| source | IEEE Xplore |
| subjects | Applied sciences Demodulation Exact sciences and technology Frequency modulation Information, signal and communications theory Intelligent control Laboratories Modulation, demodulation Oscillators Signal analysis Signal and communications theory Signal generators Speech analysis Speech processing Telecommunications and information theory Underwater vehicles |
| title | On amplitude and frequency demodulation using energy operators |
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