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DIGITAL ALLPASS FILTER: A VERSATILE SIGNAL PROCESSING BUILDING BLOCK Sanjit K. Mitra University of California, Santa Barbara, California And University of Southern California, Los Angeles, California¡bÍ H"""" " s"ª@J    t ¦ñõfz±õ*p¦æðè¢ ð ³ ðX�€@+j�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 5ð™ ZEË  ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æð`¢ ð ³ ðX�€Fj�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 6ð& ø�¹ ðØŸ¨úAbstract The digital allpass filter is a computationally efficient signal processing building block which is quite useful in many signal processing applications. In this talk we review the properties of digital allpass filters, and provide a broad overview of the diversity of applications in digital filtering such as notch filtering, low sensitivity digital filter implementation, tunable filter design, complementary filtering and filter banks, multirate filtering, digital audio, image zooming, etc.¡B  ñ  ""ð"ªZ  ¸  æ   / ¦ñõfz±õ*p¦æðТ ð ³ ðX�€ej�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 7ð&Èm&+ ðHŸ¨PBiography Sanjit K. Mitra is a Research Professor in the Department of Electrical & Computer Engineering, University of California, Santa Barbara and Professor Emeritus, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles. He has held visiting appointments in Australia, Austria, Brazil, Croatia, Finland, Germany, India, Japan, Norway, Singapore, Turkey, and the United Kingdom. Dr. Mitra has published over 700 papers in the areas of analog and digital signal processing, and image processing. He has also authored and co-authored twelve books, and holds five patents. He has presented 29 keynote and/or plenary lectures at conferences held in the United States and 16 countries abroad. Dr. Mitra has served IEEE in various capacities including service as the President of the IEEE Circuits & Systems Society in 1986. He is a member of the U.S. National Academy of Engineering, a member of the Norwegian Academy of Technological Sciences, an Academician of the Academy of Finland, a foreign member of the Finnish Academy of Sciences and Arts, a corresponding member of the Croatian Academy of Sciences and Arts, and the Academy of Engineering, Mexico, and a Foreign Fellow of the National Academy of Sciences, India and the Indian National Academy of Engineering. Dr. Mitra is a Fellow of the IEEE, AAAS, and SPIE.¡(Q  "G"ªŽ     “  0  <  * ¦ñõfz±õ*p¦æð ð  ðx�€Ümj�µÔ‚\ꃵÔ„\ê…‡¿ ¿À˨)Íÿ€ƒRectangle 8ð› °†+ ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æðb ð  ðxZ�€Èvj�µÔ‚\ꃵÔ„\ê…‡‰¿ �¿ÿ€ƒAutoShape 9ðbø ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æð b ð @  ðzZ�€´4j�µÔ‚\ꃵÔ„\ê…‡‰¿ �¿ÿ€ƒAutoShape 10ðµH  ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æðœ¢ ð à ð`�€¤˜j�‰¹‚Îoƒ‰¹„Îo¿ ¿Àÿ€ƒText Box 14ðö±X ð Ÿ XJun 23 , Monday, 14:30-16:00, WSN|i-N302 ÿ5uáOû|O®‹¤[¡>- c"&cª4    ¦ñõfz±õ*p¦æð" ð à ðb�€8œj�µÔ‚\ꃵÔ„\ê…¿ ¿ÿ€ƒRectangle 17𸫕 ð�Ÿ¨Seminar Announcement¡. c c ª  ¦ñõfz±õ*p¦æðr² ð S ðJAÁ ÿ�à mitraSanjit K. 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0è–ˆ8Š0º___PPT10‹ ÿ¿ÿ¿?Ù Ú OÙ Ú ðóêˆ@Š8º __WPP6‹pšOp îÜï€ 0 Œð„0ð  ð"ð( ð ð ð@ ð à ð`�€�,n�µÔ‚\ꃵÔ„\ꇿ ¿ÿ€ƒRectangle 4ð–˜øP  𰟨ÌTHE DIGITAL ALLPASS FILTER: A VERSATILE SIGNAL PROCESSING BUILDING BLOCK Sanjit K. Mitra University of California, Santa Barbara, California And University of Southern California, Los Angeles, California¡bÍ H"""" " s"ª@J    t ¦ñõfz±õ*p¦æðè¢ ð ³ ðX�€D+n�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 5ð™ ZEË  ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æð`¢ ð ³ ðX�€¤En�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 6ð& ø�¹ ðØŸ¨úAbstract The digital allpass filter is a computationally efficient signal processing building block which is quite useful in many signal processing applications. In this talk we review the properties of digital allpass filters, and provide a broad overview of the diversity of applications in digital filtering such as notch filtering, low sensitivity digital filter implementation, tunable filter design, complementary filtering and filter banks, multirate filtering, digital audio, image zooming, etc.¡B  ñ  ""ð"ªZ  ¸  æ   / ¦ñõfz±õ*p¦æðТ ð ³ ðX�€”[n�µÔ‚\ꃵÔ„\ê¿ ¿ÿ€ƒText Box 7ð&Èm&+ ðHŸ¨PBiography Sanjit K. Mitra is a Research Professor in the Department of Electrical & Computer Engineering, University of California, Santa Barbara and Professor Emeritus, Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles. He has held visiting appointments in Australia, Austria, Brazil, Croatia, Finland, Germany, India, Japan, Norway, Singapore, Turkey, and the United Kingdom. Dr. Mitra has published over 700 papers in the areas of analog and digital signal processing, and image processing. He has also authored and co-authored twelve books, and holds five patents. He has presented 29 keynote and/or plenary lectures at conferences held in the United States and 16 countries abroad. Dr. Mitra has served IEEE in various capacities including service as the President of the IEEE Circuits & Systems Society in 1986. He is a member of the U.S. National Academy of Engineering, a member of the Norwegian Academy of Technological Sciences, an Academician of the Academy of Finland, a foreign member of the Finnish Academy of Sciences and Arts, a corresponding member of the Croatian Academy of Sciences and Arts, and the Academy of Engineering, Mexico, and a Foreign Fellow of the National Academy of Sciences, India and the Indian National Academy of Engineering. Dr. Mitra is a Fellow of the IEEE, AAAS, and SPIE.¡(Q  "G"ªŽ     “  0  <  * ¦ñõfz±õ*p¦æð ð  ðx�€ zn�µÔ‚\ꃵÔ„\ê…‡¿ ¿À˨)Íÿ€ƒRectangle 8ð› °†+ ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æðb ð  ðxZ�€Ü‚n�µÔ‚\ꃵÔ„\ê…‡‰¿ �¿ÿ€ƒAutoShape 9ðbø ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æð b ð @  ðzZ�€ŒŒn�µÔ‚\ꃵÔ„\ê…‡‰¿ �¿ÿ€ƒAutoShape 10ðµH  ð`Ÿ¡ "ª ¦ñõfz±õ*p¦æðœ¢ ð à ð`�€ Žn�‰¹‚Îoƒ‰¹„Îo¿ ¿Àÿ€ƒText Box 14ðö±X ð Ÿ XJun 23 , Monday, 15:00-16:30, WSN|i-N302 ÿ5uáOû|O®‹¤[¡>- c"&cª4    ¦ñõfz±õ*p¦æð" ð à ðb�€ ‘n�µÔ‚\ꃵÔ„\ê…¿ ¿ÿ€ƒRectangle 17𸫕 ð�Ÿ¨Seminar Announcement¡. c c ª  ¦ñõfz±õ*p¦æðr² ð S ðJAÁ ÿ�à mitraSanjit K. Mitrað6c ðB ð s ð*� “æC£”Ê¿ÿ?ð ÿÿÿ€€€»àã33™™™™ÌrS,T1õ™/,8F  þÿÿÿ þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÕÍÕœ.“—+,ù®DÕÍÕœ.“—+,ù®t0¨°¼ÌØ  ( 08@ HPX` h Ѩ×Ô¶¨Òå University of Missouri-ColumbiatFæ ArialËÎÌåArial Rounded MT BoldBodoni MT BlackDefault Design »ÃµÆÆ¬ 1  ÒÑÓõÄ×ÖÌåÑÝʾÎĸåÉè¼ÆÄ£°å »ÃµÆÆ¬±êÌâ` ?GKSOProductBuildVer¨2052-8.1.0.3518ö$_À‘ãPF ôÌWindows Óû§Windows (u7b