離散フーリエ変æ›ã¨æ•°è«–å¤‰æ› (1) é›¢æ•£ãƒ•ãƒ¼ãƒªã‚¨å¤‰æ› (DFT)ã“ã®é€£è¼‰ã«ã¤ã„ã¦é›¢æ•£ãƒ•ãƒ¼ãƒªã‚¨å¤‰æ› (DFT) ãŠã‚ˆã³æ•°è«–å¤‰æ› (NTT) ã®åŽŸç†ã€ãã—ã¦ãれらã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ãŠã‘る実装方法ã«ã¤ã„ã¦è¨˜è¿°ã—ã¾ã™ã€‚ å„用語ã®å®šç¾©ã®é•ã„を明確ã«ã™ã‚‹ãŸã‚ã€ãã‚Œãžã‚Œã«ã¤ã„ã¦ã®å›žã‚’分割ã—ã¾ã™ã€‚ é›¢æ•£ãƒ•ãƒ¼ãƒªã‚¨å¤‰æ› (DFT) (本稿) 数列ã®ç•³ã¿è¾¼ã¿ é«˜é€Ÿãƒ•ãƒ¼ãƒªã‚¨å¤‰æ› (FFT) ビットåè»¢ç½®æ› æ•°è«–å¤‰æ› (NTT) NTT ã®é«˜é€ŸåŒ– ä¸å›½å‰°ä½™å®šç†ã«ã‚ˆã‚‹å€¤ã®å¾©å…ƒ 本文今回ã¯ã€é›¢æ•£ãƒ•ãƒ¼ãƒªã‚¨å¤‰æ› (discrete Fourier transform, DFT) ã®åŸºæœ¬çš„ãªæ€§è³ªã¨ã€ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ãŠã‘る実装方法ã«ã¤ã„ã¦è¨˜è¿°ã—ã¾ã™ã€‚畳ã¿è¾¼ã¿ã®ã‚ˆã†ãªå¿œç”¨ã‚„ã€è¨ˆç®—ã®é«˜é€ŸåŒ–ã«ã¯è§¦ã‚Œãšã€ã¾ãšã¯åŽŸç†ã®è¨˜è¿°ã«ç„¦ç‚¹ã‚’当ã¦ã¾ã™ã€‚ ã“ã®é€£è¼‰ã§ã¯è™šæ•°å˜ä½ã‚’$i$ã§è¡¨ã—ã€ã‚¤ãƒ³ãƒ‡ãƒƒã‚¯ã‚¹ (æ·»å—) ã‚’$k, j$ãªã©ã§è¡¨ã—ã¾ã™ã€‚ ã¾ãŸã€$e^{i \theta} = \cos \theta + i
https://www.cqpub.co.jp/dwm/contents/0108/dwm010801431.pdf
Fast Convolutional Nets With fbfft: A GPU Performance Evaluation
OpenCL Fast Fourier Transform
OpenCL Fast Fourier Transform
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