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独立低ランク行列分析を用いたインタラクティブ音源分離システム
- 3. はじめに
• ブラインド音源分離(BSS)は混合系が不明な観測信号か
ら混合前の音源を推定する技術
• 独立成分分析(ICA)に基づく手法が発展してきた
• 音源間の統計的独立性を最大化する音源分離手法
3
音源 観測信号 推定信号
Ai
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Wi
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独立成分分析(ICA)
[Comon, 1994]
周波数領域ICA(FDICA)
[Smaragdis, 1998]
独立ベクトル分析(IVA)
[Kim et al., 2006]
独立低ランク行列分析(ILRMA)
[Kitamura et al., 2016]
多チャネル信号の
ブラインド音源分離手法
- 6. 定式化
• 観測信号 は音源 と混合系 で表される
6
xij
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sij
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Ai
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A
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xij
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<latexit sha1_base64="0c71Thndiraxojsc8VmJST2PqXg=">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</latexit>
Ai
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<latexit sha1_base64="zW58UJo6CA6GtarX8GLA1J+2Wzk=">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</latexit>
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<latexit sha1_base64="zW58UJo6CA6GtarX8GLA1J+2Wzk=">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</latexit>
sij
<latexit sha1_base64="qH/3amT6CcnNprMfWtm/4gYvj9w=">AAACfnichVFNTxNBGH66KtYitOBF4qWxQLhQ3zUmNJyacPFIW1uatKTZXQY6dL+yO22om4a7f8CDJ02IISb6I7zwBzj0JxiPmHjhwNvtJkQJ8E5m5pln3uedZ2ZM35ahIhqntAcPH808Tj/JzD6dm8/mFhYbodcPLFG3PNsLmqYRClu6oq6kskXTD4ThmLbYMXtbk/2dgQhC6bnv1NAXu45x4Mp9aRmKqU5uqe2Y3lHUNj17zzFUN78cLo86kTwcdXIFKlIc+ZtAT0ABSWx7ua9oYw8eLPThQMCFYmzDQMitBR0En7ldRMwFjGS8LzBChrV9zhKcYTDb4/GAV62EdXk9qRnGaotPsbkHrMxjhc7plC7ojL7RL7q8tVYU15h4GfJsTrXC72Q/PK/9vVfl8KzQvVbd6VlhH6XYq2TvfsxMbmFN9YP3Hy9qm9WVaJW+0G/2/5nG9JNv4A7+WCcVUf2EDH+A/v9z3wSN10WdinrlTaG8lXxFGi/wEmv83hso4y22Uedzj3GC7/ihQVvV1rVX01QtlWie4Z/QSlfOUpNZ</latexit>
<latexit sha1_base64="qH/3amT6CcnNprMfWtm/4gYvj9w=">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</latexit>
<latexit sha1_base64="qH/3amT6CcnNprMfWtm/4gYvj9w=">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</latexit>
<latexit sha1_base64="qH/3amT6CcnNprMfWtm/4gYvj9w=">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</latexit>
: 周波数
: 時間
i = 1, 2, ..., I
<latexit sha1_base64="LIteWdwXVsX6RYh3l3jIuPy+HMY=">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</latexit>
<latexit sha1_base64="LIteWdwXVsX6RYh3l3jIuPy+HMY=">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</latexit>
<latexit sha1_base64="LIteWdwXVsX6RYh3l3jIuPy+HMY=">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</latexit>
<latexit sha1_base64="LIteWdwXVsX6RYh3l3jIuPy+HMY=">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</latexit>
j = 1, 2, ..., J
<latexit sha1_base64="brjlyaWUf9IPN1c2pQBT4mcLG/s=">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</latexit>
<latexit sha1_base64="brjlyaWUf9IPN1c2pQBT4mcLG/s=">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</latexit>
<latexit sha1_base64="brjlyaWUf9IPN1c2pQBT4mcLG/s=">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</latexit>
<latexit sha1_base64="brjlyaWUf9IPN1c2pQBT4mcLG/s=">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</latexit>
• 分離信号 は次式で表せる
yij = W ixij
<latexit sha1_base64="mrUXiMAWLEpQC+rVgkRlCYmW1Tw=">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</latexit>
<latexit sha1_base64="mrUXiMAWLEpQC+rVgkRlCYmW1Tw=">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</latexit>
<latexit sha1_base64="mrUXiMAWLEpQC+rVgkRlCYmW1Tw=">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</latexit>
<latexit sha1_base64="mrUXiMAWLEpQC+rVgkRlCYmW1Tw=">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</latexit>
yij
<latexit sha1_base64="n46CIXNcW3hNWgV1DA60ajMlG/4=">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</latexit>
<latexit sha1_base64="n46CIXNcW3hNWgV1DA60ajMlG/4=">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</latexit>
<latexit sha1_base64="n46CIXNcW3hNWgV1DA60ajMlG/4=">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</latexit>
<latexit sha1_base64="n46CIXNcW3hNWgV1DA60ajMlG/4=">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</latexit>
( )
Wi = A 1
i
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• BSSは分離行列 を全周波数で推定する最適化問題
Wi
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