Brain Running Slow This A.M. - Time Delay from Laplace ??

Feb 25, 2005 7 Replies

My brain is running on slow this A.M.



I can't remember how to calculate time delay versus frequency, given the Laplace transform.



Please refresh my brain cells.



Thanks!



...Jim Thompson



-- | James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | |

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| 1962 | I love to cook with wine. Sometimes I even put it in the food.



Given your first post, I would have answered as Mr. Gaddi did. However, it seems now that you want either group delay or phase delay. Since phase delay is pretty obvious, I'm guessing it's group delay that you want. Given the Laplace transfer function, F(s), substitue j*w for s, then take the derivative of phase with respect to w. That is group delay. (Pronounce 'w' as omega.)

--Larry Brasfield email: donotspam_larry_brasfield@hotmail.com Above views may belong only to me.

That's how to INSERT delay.

Given F(s), what's the time delay versus omega?

...Jim Thompson

-- | James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | |

formatting link
| 1962 | I love to cook with wine. Sometimes I even put it in the food.

Thanks! It's coming back to me.. d(phase)/d(omega)

...Jim Thompson

| James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | | http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food.

IIRC, L{y(t - d)} = Y(s) * e^(-ds)

But I build only anticipatory circuits ;-)

...Jim Thompson

| James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | | http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food.

don't forget the negative sign!:

-dø GD = ---- dw

No, but they're _this close_.

Mark L. Fergerson

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