The Whole Story Behind Blind Adaptive Equalizers/ Blind Deconvolution

System Description

Author(s): Monika Pinchas

Pp: 10-22 (13)

DOI: 10.2174/978160805352011201010010

* (Excluding Mailing and Handling)

Abstract

In this chapter, the Single Input Single Output (SISO) and Single Input Multiple Output (SIMO) system are described. For each system the condition for perfect equalization is given. In addition, the meaning of convolutional noise and Inter- symbol Interference (ISI) often used as a measure of performance in equalizers' applications are explained.


Keywords: Blind deconvolution, Single Input Single Output (SISO) system, Single Input Mul- tiple Output (SIMO) system, perfect equalization, convolutional noise, Intersymbol Interference (ISI), equalizers's adaptation mechanism, nonlinear function, condi- tional expectation, FIR lter

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      • 12. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 14. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
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      • 14. app/Models/UserAccess/UserAccess.php:784
      • 15. middleware::check_user_access:114
      • 16. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 18. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
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      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
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      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
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      • 16. app/Models/Subject.php:238
      • 17. app/Http/Controllers/ChapterController.php:1434
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      970μsalphaeurekaselec_live_10_06_2022Subject.php#238
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      • 14. app/Models/Subject.php:238
      • 15. app/Http/Controllers/ChapterController.php:1434
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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      440μsalphaeurekaselec_live_10_06_2022Subject.php#255
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      • 16. app/Models/Subject.php:255
      • 17. app/Http/Controllers/ChapterController.php:1435
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      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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      570μsalphaeurekaselec_live_10_06_2022Subject.php#255
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      • 14. app/Models/Subject.php:255
      • 15. app/Http/Controllers/ChapterController.php:1435
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      • 15. app/Http/Controllers/ChapterController.php:1462
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      400μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1465
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      380μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1478
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1518
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314378200 and j.to_ip >=314378200 )) and ((j.from_date <= 1739848484 and j.to_date >= 1739848484 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3382) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314378200 and j.to_ip >=314378200 )) and ((j.from_date <= 1739848484 and j.to_date >= 1739848484 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3382) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314378200 and j.to_ip >=314378200 )) and ((j.from_date <= 1739848484 and j.to_date >= 1739848484 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3382)
      930μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 1026 and `b`.`banner_from_date` <= 1739848484 and `b`.`banner_to_date` >= 1739848484 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.22msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 1026
      • 3: 1739848484
      • 4: 1739848484
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='63cc9df4e37df75c4ed97a6d10f0bb61'
      250μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Keywords
    10Keywords.php#?
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        1afaPRVnvXcm5GKde5PNsBjQVlmkVQErRT8zEkWB
        uc_cart_id
        63cc9df4e37df75c4ed97a6d10f0bb61
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/3382" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/3382
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:16 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 18 Feb 2025 03:14:44 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImxIMCtTSlMzUzhzRUVZNythVlowT0E9PSIsInZhbHVlIjoicm1TL2VQazI0cm14YmJvdnZWbU5CVkFsOUNqTlZpWUxxUDcyU0pHY3FJN081UzRyVVFlM0xSTk1hek5OTmZtb2kvTmtYUEJjcE01WDdBM3k4U1AvYmhNVlNKdG5uZXpDSS83OE9lNDkrVVJMdkk1Yy9OL1BxcEp0MDVnNThaSWsiLCJtYWMiOiI3OGQ0YmVhZGY4YjBiMGJjMjJlYzZkMjE1MDEyMTg1NGYxMjBkODRlOTUyMzZjYjIwYTZlYmQ2MTdjYWUzZDk0IiwidGFnIjoiIn0%3D; expires=Thu, 20 Feb 2025 15:14:44 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6ImxIMCtTSlMzUzhzRUVZNythVlowT0E9PSIsInZhbHVlIjoicm1TL2VQazI0cm14YmJvdnZWbU5CVkFsOUNqTlZpWUxxUDcyU0pHY3FJN081UzRyVVFlM0xSTk1hek5OTmZtb2kvTmtYU" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImpqZlVxaUlPNTR3SFJ3V0xINkhzRGc9PSIsInZhbHVlIjoiaFVpdGU0bWhsbG5VSzMvS3Q4ZkJBUXZ2RTFXc2tkUjMvU051VVkzY1JRdU1BMVhRbitkbloyU0RWZnlFWlBidENQM0QwYlJ4dlVYZDhneDg4RmV2S1R4K05vM3N0ZTY3NFdvMTdJc016eGIvR0l3Tk1hZTRpcTdqTDNISmVaSXIiLCJtYWMiOiJmNTI4ZjAwZjljNzA3ZjM1M2RlM2Y2YTQxZGM5ODYxYzhhZDg0YjJhNzYyZmZkYjY5NGZiYzM5Yzk0NTIzMTU4IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6ImpqZlVxaUlPNTR3SFJ3V0xINkhzRGc9PSIsInZhbHVlIjoiaFVpdGU0bWhsbG5VSzMvS3Q4ZkJBUXZ2RTFXc2tkUjMvU051VVkzY1JRdU1BMVhRbitkbloyU0R" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImxIMCtTSlMzUzhzRUVZNythVlowT0E9PSIsInZhbHVlIjoicm1TL2VQazI0cm14YmJvdnZWbU5CVkFsOUNqTlZpWUxxUDcyU0pHY3FJN081UzRyVVFlM0xSTk1hek5OTmZtb2kvTmtYUEJjcE01WDdBM3k4U1AvYmhNVlNKdG5uZXpDSS83OE9lNDkrVVJMdkk1Yy9OL1BxcEp0MDVnNThaSWsiLCJtYWMiOiI3OGQ0YmVhZGY4YjBiMGJjMjJlYzZkMjE1MDEyMTg1NGYxMjBkODRlOTUyMzZjYjIwYTZlYmQ2MTdjYWUzZDk0IiwidGFnIjoiIn0%3D; expires=Thu, 20-Feb-2025 15:14:44 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6ImxIMCtTSlMzUzhzRUVZNythVlowT0E9PSIsInZhbHVlIjoicm1TL2VQazI0cm14YmJvdnZWbU5CVkFsOUNqTlZpWUxxUDcyU0pHY3FJN081UzRyVVFlM0xSTk1hek5OTmZtb2kvTmtYU" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImpqZlVxaUlPNTR3SFJ3V0xINkhzRGc9PSIsInZhbHVlIjoiaFVpdGU0bWhsbG5VSzMvS3Q4ZkJBUXZ2RTFXc2tkUjMvU051VVkzY1JRdU1BMVhRbitkbloyU0RWZnlFWlBidENQM0QwYlJ4dlVYZDhneDg4RmV2S1R4K05vM3N0ZTY3NFdvMTdJc016eGIvR0l3Tk1hZTRpcTdqTDNISmVaSXIiLCJtYWMiOiJmNTI4ZjAwZjljNzA3ZjM1M2RlM2Y2YTQxZGM5ODYxYzhhZDg0YjJhNzYyZmZkYjY5NGZiYzM5Yzk0NTIzMTU4IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6ImpqZlVxaUlPNTR3SFJ3V0xINkhzRGc9PSIsInZhbHVlIjoiaFVpdGU0bWhsbG5VSzMvS3Q4ZkJBUXZ2RTFXc2tkUjMvU051VVkzY1JRdU1BMVhRbitkbloyU0R" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "1afaPRVnvXcm5GKde5PNsBjQVlmkVQErRT8zEkWB" "uc_cart_id" => "63cc9df4e37df75c4ed97a6d10f0bb61" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/3382" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-18 03:14:44GET/chapter/33821121912