From a466509dbeaf70128e1459c18b0d8891bbbae7b3 Mon Sep 17 00:00:00 2001 From: "Kaz Saita(WSL2 root)" Date: Sat, 17 Feb 2024 15:10:02 +0900 Subject: [PATCH] commit(auto) --- ...›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹.md | 8 +++++ .../20240217114253 フィルタã®ç¾¤é…延ã¨ã¯.md | 30 +++++++++++++++++++ 2 files changed, 38 insertions(+) create mode 100755 content/20240217113649 ç›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹.md create mode 100755 content/20240217114253 フィルタã®ç¾¤é…延ã¨ã¯.md diff --git a/content/20240217113649 ç›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹.md b/content/20240217113649 ç›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹.md new file mode 100755 index 0000000..08a66b7 --- /dev/null +++ b/content/20240217113649 ç›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹.md @@ -0,0 +1,8 @@ +# 20240217113649 ç›´ç·šä½ç›¸ã ã¨æ³¢å½¢ã®å½¢ãŒå´©ã‚Œãªã„ã®ã¯ãªãœã‹ +#tech #filter #circuit #dsp + +ç›´ç·šä½ç›¸ã¯ã©ã†ã„ã†çŠ¶æ³ã‹ã¨ã„ã†ã¨ã€ã©ã®å‘¨æ³¢æ•°ã§ã‚‚一定時間ã®ãƒ‡ã‚£ãƒ¬ã‚¤ãŒã‚ã£ã¦æ³¢å½¢ãŒå‡ºã¦ãã‚‹ã¨ã„ã†ã“ã¨ã€‚ãã®ãƒ‡ã‚£ãƒ¬ã‚¤ãŒä½ç›¸ç‰¹æ€§ã®(ç›´ç·šã®)傾ãã«ãªã£ã¦ã„る。 + +全部ã®å‘¨æ³¢æ•°å¸¯åŸŸã§åŒã˜ãƒ‡ã‚£ãƒ¬ã‚¤ã ã‹ã‚‰ã€æ³¢å½¢ã®å½¢ã¯å…¥åŠ›ã¨åŒã˜ã«ä¿ãŸã‚Œã‚‹ã€‚ + +cf. [[20240217114253 フィルタã®ç¾¤é…延ã¨ã¯|フィルタã®ç¾¤é…延ã¨ã¯]] diff --git a/content/20240217114253 フィルタã®ç¾¤é…延ã¨ã¯.md b/content/20240217114253 フィルタã®ç¾¤é…延ã¨ã¯.md new file mode 100755 index 0000000..c369d66 --- /dev/null +++ b/content/20240217114253 フィルタã®ç¾¤é…延ã¨ã¯.md @@ -0,0 +1,30 @@ +# 20240217114253 フィルタã®ç¾¤é…延ã¨ã¯ +#filter #electronics #circuit #dsp + +定義 + +$$ +\tau_g = - \frac{d\phi}{d\omega} +$$ +$\phi$ ã¯ä½ç›¸å·®ã€ $\omega$ ã¯è§’周波数。 + +ä½ç›¸ç‰¹æ€§ã®ã‚°ãƒ©ãƒ•ã‚’微分ã—ãŸã‚‚ã®ã¨ã„ã†ç†è§£ã§è‰¯ã„ã¨æ€ã†(符å·ã¯å®šç¾©ä¸Šé€†ã«ãªã‚‹)。 + +å˜ä½ã¯ \[sec]。 `[rad / (rad/sec)]ã ã‹ã‚‰ã€‚ + +ä½ç›¸å¿œç­”ãŒlinearãªã‚‰ã€ç¾¤é…延ã¯ã¤ã­ã«ä¸€å®šã®æ•°ã«ãªã‚‹ã€‚ +linearã§ç„¡ã„å ´åˆã€å¢—減ã—ãŸã‚Šã™ã‚‹ã€‚ãã†ãªã£ã¦ã„ã‚‹ã¨å‘¨æ³¢æ•°ã”ã¨ã«é…延é‡ãŒå¤‰ã‚ã£ã¦ã—ã¾ã£ã¦ã„る。ã¤ã¾ã‚Šã€æ³¢å½¢ãŒã²ãšã‚€ã€‚ + +群é…延ã¨ã‹group delayã¨ã„ã†è¨€è‘‰ãŒã¨ã¦ã‚‚分ã‹ã‚Šã«ãã„。「ä½ç›¸å¿œç­”ã®å‘¨æ³¢æ•°ã”ã¨å‚¾ãã€ã®ã“ã¨ã€‚ + +## cf. + +- [Group Delay vs Phase Delay: What's the Difference? \[DSP #18\] - YouTube](https://www.youtube.com/watch?v=ox-CyJVpJEM)` ã“ã‚ŒãŒä¸€ç•ªã‚ã‹ã‚Šã‚„ã™ã„ + + +- [Group delay and phase delay - Wikipedia](https://en.wikipedia.org/wiki/Group_delay_and_phase_delay) + +以下ã‚ã¾ã‚Šã‚ˆããªã„例。微分ã®å®šç¾©ä¸Šã¯ãã†ã„ã†èª¬æ˜ŽãŒã§ãã‚‹ã‘ã©ã€ã€Œã†ãªã‚Šã®ãƒ”ークã®å·®ã€ã«ã€ã©ã‚Œã»ã©æ„味ãŒã‚ã‚‹ã®ã‹ï¼Ÿ +- [群é…延ã¨ä½ç›¸é…延 - Wikipedia](https://ja.wikipedia.org/wiki/%E7%BE%A4%E9%81%85%E5%BB%B6%E3%81%A8%E4%BD%8D%E7%9B%B8%E9%81%85%E5%BB%B6) +- [周波数特性 - ä¿¡å·å‡¦ç† | ++C++; // 未確èªé£›è¡Œ C](https://ufcpp.net/study/sp/dsp/frequency#delay) +- [Group delay](https://sep.stanford.edu/sep/prof/pvi/spec/paper_html/node19.html) \ No newline at end of file