General Closed-Form Transfer Function Expressions for Fast Filter Bank
The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this p...
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| Veröffentlicht in: | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2023/10/01, Vol.E106.A(10), pp.1354-1357 |
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| container_title | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
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| creator | HAO, Jinguang WANG, Gang HongWANG, Gang WANG, Lili LIU, Xuefeng |
| description | The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph. |
| doi_str_mv | 10.1587/transfun.2023EAL2004 |
| format | Article |
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However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.</description><identifier>ISSN: 0916-8508</identifier><identifier>EISSN: 1745-1337</identifier><identifier>DOI: 10.1587/transfun.2023EAL2004</identifier><language>eng</language><publisher>Tokyo: The Institute of Electronics, Information and Communication Engineers</publisher><subject>binary tree ; bit reversed order ; Closed form solutions ; closed-form expression ; Exact solutions ; fast filter bank ; Filter banks ; Low pass filters ; prototype lowpass filter ; transfer function ; Transfer functions</subject><ispartof>IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2023/10/01, Vol.E106.A(10), pp.1354-1357</ispartof><rights>2023 The Institute of Electronics, Information and Communication Engineers</rights><rights>Copyright Japan Science and Technology Agency 2023</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c473t-ff9a006dce73ee15f289c8d84a2f94d26dc02ad18e39419c1b16f879adc122503</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,1881,27915,27916</link.rule.ids></links><search><creatorcontrib>HAO, Jinguang</creatorcontrib><creatorcontrib>WANG, Gang</creatorcontrib><creatorcontrib>HongWANG, Gang</creatorcontrib><creatorcontrib>WANG, Lili</creatorcontrib><creatorcontrib>LIU, Xuefeng</creatorcontrib><title>General Closed-Form Transfer Function Expressions for Fast Filter Bank</title><title>IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences</title><addtitle>IEICE Trans. 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With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.</description><subject>binary tree</subject><subject>bit reversed order</subject><subject>Closed form solutions</subject><subject>closed-form expression</subject><subject>Exact solutions</subject><subject>fast filter bank</subject><subject>Filter banks</subject><subject>Low pass filters</subject><subject>prototype lowpass filter</subject><subject>transfer function</subject><subject>Transfer functions</subject><issn>0916-8508</issn><issn>1745-1337</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNpNkFFLwzAUhYMoOKf_wIeCz525Sdomj3O0Uxj44HwOMU10s0tnkoL-ezOnc3DhXjjnfBcOQteAJ1Dw6jZ65YId3IRgQuvpgmDMTtAIKlbkQGl1ikZYQJnzAvNzdBHCGmPgBNgINXPjjFddNuv6YNq86f0mW_7wjM-awem46l1Wf269CSGdIbN9ElSIWbPqYjLdKfd-ic6s6oK5-t1j9NzUy9l9vnicP8ymi1yzisbcWqEwLlttKmoMFJZwoXnLmSJWsJYkBRPVAjdUMBAaXqC0vBKq1UBIgekY3ey5W99_DCZEue4H79JLSTgXaRgrk4vtXdr3IXhj5davNsp_ScBy15j8a0weNZZiT_vYOkT1ag4h5eNKd-Y_VAMu5XQH-72OKAe3flNeGke_AWU3ffs</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>HAO, Jinguang</creator><creator>WANG, Gang</creator><creator>HongWANG, Gang</creator><creator>WANG, Lili</creator><creator>LIU, Xuefeng</creator><general>The Institute of Electronics, Information and Communication Engineers</general><general>Japan Science and Technology Agency</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20231001</creationdate><title>General Closed-Form Transfer Function Expressions for Fast Filter Bank</title><author>HAO, Jinguang ; WANG, Gang ; HongWANG, Gang ; WANG, Lili ; LIU, Xuefeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c473t-ff9a006dce73ee15f289c8d84a2f94d26dc02ad18e39419c1b16f879adc122503</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>binary tree</topic><topic>bit reversed order</topic><topic>Closed form solutions</topic><topic>closed-form expression</topic><topic>Exact solutions</topic><topic>fast filter bank</topic><topic>Filter banks</topic><topic>Low pass filters</topic><topic>prototype lowpass filter</topic><topic>transfer function</topic><topic>Transfer functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>HAO, Jinguang</creatorcontrib><creatorcontrib>WANG, Gang</creatorcontrib><creatorcontrib>HongWANG, Gang</creatorcontrib><creatorcontrib>WANG, Lili</creatorcontrib><creatorcontrib>LIU, Xuefeng</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications 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>IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>HAO, Jinguang</au><au>WANG, Gang</au><au>HongWANG, Gang</au><au>WANG, Lili</au><au>LIU, Xuefeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>General Closed-Form Transfer Function Expressions for Fast Filter Bank</atitle><jtitle>IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences</jtitle><addtitle>IEICE Trans. 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| subjects | binary tree bit reversed order Closed form solutions closed-form expression Exact solutions fast filter bank Filter banks Low pass filters prototype lowpass filter transfer function Transfer functions |
| title | General Closed-Form Transfer Function Expressions for Fast Filter Bank |
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