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#1 [labo] Digital FFT ¤Î·ë²Ì¤È¥Ñ¥ï¡¼¥¹¥Ú¥¯¥È¥ë¤Î´Ø·¸.

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¥Ç¥¸¥¿¥ë¥Õ¡¼¥ê¥¨ÊÑ´¹¤Ï¡¢¥µ¥ó¥×¥ê¥ó¥°¥Ç¡¼¥¿ x_0¡Áx_(N-1) ¤ËÂФ·¤Æ
      N-1                 n
X_k = ¦²  x_n exp(-i 2¦Ðk - )
      n=0                 N

(k=0¡ÁN-1)
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¤³¤ì¤È¶è´Ö [0 L] ¤Ç¤Î¥Õ¡¼¥ê¥¨Å¸³«
       L             2¦Ðk
F_k = ­ò f(x) exp (-i----x) dx
      0                L 

       1         N          2¦Ðn
f(x) = - lim    ¦² F_n exp(i----x)
       L n¢ª¡ç n=-N           L
¤òÈæ³Ó¤¹¤ë¤È¡¢¥µ¥ó¥×¥ê¥ó¥°´Ö³Ö¤ò a (=L/N) ¤È¤¹¤ì¤Ð *2 f(na) = x_n ¤À¤«¤é¡¢
      N-1 (n+1)a           2¦Ðk
F_k = ¦²   ­ò   f(x) exp(-i----x) dx
      n=0  na                L 

      N-1             2¦Ðk
   ¡Á ¦²  f(na) exp(-i----na) ¡¦a = a X_k
      n=0               L 
¤È¤¤¤¦´Ø·¸¤Ë¤Ê¤ë¤³¤È¤¬¤ï¤«¤ë¡£

¤³¤³¤Ç»²¹Íʸ¸¥ *3 ¤Î p.47 ¤Îµ­½Ò¤Ë½¾¤Ã¤Æ Riemann ÀÑʬ¤Ø¤Î°Ü¹Ô¤ò¹Í¤¨¤ë¤È¡¢
2¦Ð
---¦² F_k ¢ª ­ò d¦Ø F(¦Ø)
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|2¦Ð      |^2   |2¦Ð    |^2
|--- a X_k|   = |--- X_k|
| L       |     | N     |
¤Î¤è¤¦¤Ë¼è¤ì¤ÐÎɤ¤¤³¤È¤¬¤ï¤«¤ë¡£Ã±°Ì¤Ï [f^2 L]¡£ ¤¿¤À¤· 2¦Ð ¤òÊÑ´¹¡¦µÕÊÑ´¹¤Ëʬ¤±¤ëήµ·¤â¤¢¤ë¤Î¤Ç¡¢ ¤½¤Î¾ì¹ç¤Ï 2¦Ð ¤òŬÅö¤ËÊѤ¨¤ë¤³¤È¤Ë¤Ê¤ë¡£

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f(x) ¤¬¼Â¿ô´Ø¿ô¤Ê¤é F_(-k) ¤Ï F_k ¤Î¶¦ÌòÊ£ÁÇ¿ô¤À¤«¤é |F_k|^2 = |F_(-k)|^2¡¢ ¤Ä¤Þ¤ê 0¡ÁN-1 ¤Ï¶è´Ö¤ÎȾ¤Ð¤òÀÞ¤êÊÖ¤·¤Ë¤·¤Æº¸±¦ÂоΤˤʤ롣
*1: Octave ¤Î¤â¤½¤¦¡£
*2: µÕ¤Ë¸À¤¦¤È¤³¤ÎµÄÏÀ¤Ç¤Ï¤¢¤¯¤Þ¤Ç L = a * N ¤Ç¤¢¤ë¤³¤È¤ËÃí°Õ¡£ L = a * (N-1) ¤È´Ö°ã¤¨¤Ê¤¤¤è¤¦¤Ë!
*3: ¡ÖʪÍý¤È¥Õ¡¼¥ê¥¨ÊÑ´¹¡×º£Â¼¶Ð (´äÇÈÁ´½ñ 1976)
*4: ¥Õ¥©¥Î¥ó¤¬¥Ö¥ê¥ë¥¢¥ó¥¾¡¼¥ó¤Î¶­³¦¤ÇÀÞ¤êÊÖ¤¹¤Î¤ÈƱ¤¸¤«¤Ê¡©

#2 [LDP] 1/31¡Á2/2 ¤Î ldp-discuss

43 ÄÌ

¡÷ reader comments & reviews:

OSWG ¤Î Deb Richardson ¤µ¤ó¤«¤é. ¹¹¿·Í½Äê¤Î OSWG ¿· INDEX ¥Ú¡¼¥¸ ¤Ë "Reader Comments and Reviews" ¤È¤¤¤¦¤Î¤òºî¤Ã¤Æ¤ß¤¿. ¤³¤ó¤Ê¤«¤ó¤¸ ¤Ë³èÍѤµ¤ì¤ë¤ÈÎɤ¤¤Î¤Ç¤Ï¤Ê¤¤¤«¤È»×¤Ã¤Æ¤¤¤ë, ¤È¤ÎÊó¹ð.

¤³¤ì¤ËÂФ· Aznar ¤µ¤ó¤«¤é, OSWG ¤Îʸ½ñ¤ò LDP ¤Ë¥ß¥é¡¼¤·¤Æ¡¢ ¸¡º÷¥¨¥ó¥¸¥ó¤Ç½èÍý¤Ç¤­¤ë¤è¤¦¤Ë¤·¤Æ¤¤¤¤¤«¡¢¤È¤Î query. oswg ¤Î ML ¤ò Cc ¤Ç´¬¤­¹þ¤ó¤ÇµÄÏÀ¤¬Â³¤¯.

¡÷ bug tracking system (was: mini-HOWTO):

¥á¥ó¥Æ¥Ê¥·¥¹¥Æ¥à¤È BTS ¤Ë´Ø¤¹¤ë Lawyer ¤µ¤ó¤È Dawson ¤µ¤ó¤ÎµÄÏÀ. ʸ½ñ¤ò sgml ²½¤¹¤ëºî¶È¤Î volunteer ¤Ï¤¤¤ë¤ÈÎɤ¤¡¢ ¤È¤¤¤¦¹ç°Õ¤Ë¤Ï¤Ê¤Ã¤Æ¤¤¤ë¤¬¡¢ ¥á¥ó¥Æ¥Ê¥·¥¹¥Æ¥à¤Ë´Ø¤·¤Æ¤Ï¤Þ¤À·ëÏÀ¤Ï½Ð¤Æ¤¤¤Ê¤¤.

BTS ¤Ë´Ø¤·¤Æ¤Ï¡¢Lawyer ¤µ¤ó¤ÎÊý¤Ï ¡ÖBTS ¤è¤ê¡¢feedback ¤ò¤¹¤°¤Ë¼õ¤±Æþ¤ì¤Æ¤µ¤Ã¤µ¤È²þÄû¤Ç¤­¤ë ¼«Æ°Ê¸½ñÅÐÏ¿¥·¥¹¥Æ¥à¤òºî¤ëºî¶È¤òÍ¥À褹¤Ù¤­¡× ¤È¤¤¤¦¼çÄ¥¡£Dawson ¤µ¤ó¤Ï¡¢ ¡Öʸ½ñ¤Î¹»Äû¤Ë¤Ï»þ´Ö¤¬¤«¤«¤ë¡£Æþ¤ì¤¿¤¯¤Ê¤¤ out of scope ¤Ê ·ï¤Ë´Ø¤·¤Æ·«¤êÊÖ¤·´ó¤»¤é¤ì¤ë¥á¡¼¥ë¤â¤¢¤ë¡£ ¥Õ¥£¡¼¥É¥Ð¥Ã¥¯¤Î¥ê¥¹¥È¤Ï¡¢¤¤¤º¤ì¤Ë¤»¤è¥Õ¥£¡¼¥É¥Ð¥Ã¥¯¤¹¤ë¥æ¡¼¥¶¤«¤é ¸«¤¨¤ë¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë¤³¤È¤¬Ë¾¤Þ¤·¤¤¡×¤È¼çÄ¥¤·¤Æ¤¤¤ë¡£ ¡Ö¤½¤ó¤Ê¥á¡¼¥ë¤Ï¾Ã¤·¤Á¤ã¤¨¡×¤È¤Î Lawyer ¤µ¤ó¤ÎÊÖ»ö¤â(^^;

¡÷ Re: site updated.:

Gjoen ¤µ¤ó¤¬ TODO ¥Ú¡¼¥¸ ¤Î¥á¥ó¥Æ¥Ê¤Ë¤Ê¤ë¤³¤È¤òλ¾µ. ³°Éôʸ½ñ¥×¥í¥¸¥§¥¯¥È¤Ø¤Î¥ê¥ó¥¯¤Ø¤âÍߤ·¤¤¤Í¡¢¤È¤ÎÄɲå³¥á¥ó¥È¤ËÂФ·¡¢
¢ªLDP ¤Î¥µ¥¤¥È¤ËÃÖ¤«¤»¤Æ¤â¤é¤Ã¤¿¤é¤É¤¦¤« (Aznar)
¢ª¥é¥¤¥»¥ó¥¹¤ÎÌäÂ꤬ÌÌÅݤÀ¤«¤é¡¢¥Á¥§¥Ã¥¯¤·¤Ê¤¤¤È¤¤¤±¤Ê¤¤¤Í (Gjoen)
¤È¤Î¤ä¤ê¤È¤ê¤Ê¤É.

¡÷ Re: Contributing.:

Aznar ¤µ¤ó¤Î cola ¥Ý¥¹¥È¤·¤Þ¤·¤ç¤¦¤«¡¢¤È¤ÎÄó°Æ¤ò¼õ¤±¤Æ¡¢ Gjoen ¤µ¤ó¤Î¥Ý¥¹¥È°Æ. web ¤Ë¤âÃÖ¤«¤ì¤¿.

¡÷ Open Source Documentation news & announcements site:

¤¬¥ê¥Ë¥å¡¼¥¢¥ë¤µ¤ì¤¿¡¢¤È¤Î¤ªÃΤ餻.

¡÷ Boilerplate License proposed changes:

Êѹ¹Äó°Æ
BOILERPLATE LICENSE

Here is a sample copyright notice and``boilerplate'' license you may
want to use for your work:

Copyright (c) 2000 by John Doe (change to your name)

Please freely copy and distribute (sell or give away) this document
in any format.
- Forward any corrections and comments to the document maintainer.
+ It's requested that corrections and/or comments be fowarded to
+ the document maintainer.
  You may create a derivative work and distribute it provided that you:

1. Send your derivative work (in the most suitable format such as
  sgml) to the LDP (Linux Documentation Project) or the like for posting
  on the Internet.  If not the LDP, then let the LDP know where it is
  available.
- Except for translations, send a copy to the previous
- maintainer's url as shown in the latest version.
2. License the derivative work with this same license or use
  GPL.  Include a copyright notice and at least a pointer to the
  license used.
3. Give due credit to previous authors and major contributors.

If you're considering making a derived work other than a
translation, it's requested that you discuss your plans with the
current maintainer.

¡÷ News:

Greg Fergusson ¤µ¤ó¤¬ FAQ Coordinator ¤Ë¤Ê¤Ã¤¿»Ý¤Î¤ªÃΤ餻.

¡÷ howto-author.linuxdoc.org:

HOWTO ¤ÎÃø¼Ô¤Ø¤Î¥á¡¼¥ë¥¨¥¤¥ê¥¢¥¹ hoge@howto-author.linuxdoc.org ¤¬½àÈ÷¤µ¤ì¤¿·ï¤Î¤ªÃΤ餻.

#3 [labo] ´ÏÀ¤È¤«½¤ÏÀ¤È¤«

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