stage Subband WaveNet Single-sideband modulation-based analysis filtering # M # M # M WaveNet for N-th band WaveNet for 2nd band WaveNet for 1st band · · · · · · · · · Fullband waveform x xN x2 x1 Additional input h (b) Synthesis stage WaveNet for 1st band WaveNet for 2nd band WaveNet for N-th band " M " M " M Single-sideband modulation-based synthesis filtering Fullband waveform ˆ x ˆ x1 ˆ x2 ˆ xN ˆ x1 ˆ x2 ˆ xN Additional input h · · · · · · · · · αϒόϯυॲཧʹΑΔߴԽ /ݸͷαϒόϯυ৴߸ʹׂɼ.ͰؒҾ͖ ΦϦδφϧ৴߸ ɹɾ৴߸ɿ-αϯϓϧ ɹɾαϯϓϦϯάϨʔτɿ'T αϒόϯυ৴߸͝ͲʹܗϞσϧͷֶशɾੜ αϒόϯυ৴߸ ɹɾ৴߸ɿ-.αϯϓϧ ɹɾαϯϓϦϯάϨʔτɿ'T. /ݸͷαϒόϯυ৴߸͔Βϑϧόϯυ৴߸Λ෮ݩ ϙΠϯτɿ ɹɾ͍৴߸Λෳͷ͍୯७ͳ৴߸ʹ͚Δ ޮՌɿ ɹɾ.ݸͷฒྻॲཧ͕Մೳˠੜ.ഒ
<latexit sha1_base64="T5SF7FPkTRnrb9Tx6LZIwb13RJY=">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</latexit> bopt = [T ⇤ b T b + 1T ⇤ d T d + 2I] 1 T ⇤ b Ab <latexit sha1_base64="FH04hNHjCs737APEHwVOCGHe1eI=">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</latexit> ˚ A (q) m ' Mi X n= Mi ˚ AnJm n (kRq) e j(n m)(⇡+ q) + Me X n= Me ˚ BnHm n (kRq) e j(n m)(⇡+ q) <latexit sha1_base64="+xEzTwt7o9CUqqFMcda3M0/9l80=">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</latexit> a = h ˚ A(1) M , · · · , ˚ A(1) M , · · · , ˚ A(Q) M , · · · , ˚ A(Q) M i> <latexit sha1_base64="bP/Ws8dxVfGXz/Kz1/xzq9LRSAk=">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</latexit> b = h ˚ A Mi , · · · , ˚ AMi , ˚ B Me , · · · , ˚ BMe i> <latexit sha1_base64="p0WK616nmW3bvbohM69mMEIEc9k=">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</latexit> T = [T i T e] <latexit sha1_base64="5dC+X5Bnb6VUG6JqPYkEAxDroAM=">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</latexit> a = T b <latexit sha1_base64="XPIWr7IVo5bvJ9iczFv4aszkxhU=">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</latexit> b = T +a ;;IBOHFUBM+"4" ैདྷ๏ <latexit sha1_base64="YKINIaXgJWwsO/utUoQRA25nyok=">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</latexit> Zone 1 <latexit sha1_base64="BDQcuk095bIzAvIuFbZQR94oCww=">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</latexit> Zone Q <latexit 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sha1_base64="Liyphcvwbe3UNxWLJDKVZcSPmCE=">AAACaHichVG7SgNBFD1ZXzE+ErVQsRFDxCpMgqhYBWws4yMxECXsrpM4ZF/ubgJxyQ/YWKpYKYiIn2HjD1jkE9RSwcbCm82CaFDvMDNnztxz58yMYmnCcRlrhaSe3r7+gfBgZGh4ZDQaGxvPO2bNVnlONTXTLiiywzVh8JwrXI0XLJvLuqLxHaW61t7fqXPbEaax7TYsvqfLFUOUhSq7ROXsknfYLMXiLMn8mO0GqQDEEUTWjN1gF/swoaIGHRwGXMIaZDjUikiBwSJuDx5xNiHh73M0ESFtjbI4ZcjEVmms0KoYsAat2zUdX63SKRp1m5SzSLBHdste2QO7Y0/s49danl+j7aVBs9LRcqsUPZ7aev9XpdPs4uBL9adnF2Ws+F4Febd8pn0LtaOvH52+bq1uJrx5dsVeyP8la7F7uoFRf1OvN/jmBSL0Aamfz90N8ulkaimZ3liMZ9LBV4Qxgzks0HsvI4N1ZJGjcwVOcIbz0LMUkyal6U6qFAo0E/gW0twnEemL2Q==</latexit> rq ࠞ߹ԻΛ෦ɾ֎෦Իͱղ