Re: Designing a Lumped Delay Line

Apr 23, 2008 3 Replies


Can someone point me to information on how to design a lumped delay


>line?
>
>Thanks!
>
> ...Jim Thompson

The simple way is just a string of Ls and Cs.


in--------+---L-----+----L----+----L----+---------out | | | | | | | | C/2 C C C/2 | | | | | | | | | | | | gnd gnd gnd gnd


where



Zo = sqrt(L/C)



Fc = 1/(PI * sqrt(LC))



Td = N * sqrt(LC)


There are fancier formulations, like bridged-tees and such, for specific applications. See the Williams filter book.



The nasty part is that the number of sections explodes as (I recall) the square of the delay/risetime ratio. I have a Basic program that does that math and such.



These things ring, too.



John


I have a version that has an R in series with each L. I was just wondering if there is an optimization.

...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 | America: Land of the Free, Because of the Brave

The simplest solution for a delay line is a Bessel filter. It is obviously not very optimal, however it is canned.

The order of filter is proportional to the bandwidth x delay time.

Yea... Those things are desinged by optimization of the allpass sections, but it is so boring.

Yes. Take FPGA, make 1-bit delta-sigma ADC, then a shift register, then delta-sigma DAC.

Vladimir Vassilevsky DSP and Mixed Signal Design Consultant

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On Wed, 23 Apr 2008 21:51:49 -0500, Vladimir Vassilevsky wrote: ...

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Just FMI (for my information): if it's delta-sigma one way, shouldn't it be sigma-delta the other way? (Of course, I have no clue which should be which.)

Thanks, Rich

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