- Get yourself a copy of:
formatting link
(I guess it's available freely online, at the moment; seems kind of weird to me. In any case, print is available too.)
- Read through the Theory, and Use, sections. See how the examples turn coefficients into real parts values.
The jist of it is:
- Filter tables are calculated for unit frequency and impedance.
- sqrt(L/C) is the network impedance. Scale L and C proportionally to achieve the desired Zo (L up, C down to raise Zo).
- 1 / sqrt(L*C) is the network frequency (within a constant). Scale everything proportionally to achieve the desired Fo (L down, C down to raise Fo).
Tables are calculated based on 1 ohm and 1Hz (unit ohm, unit frequency) because it's the easiest form to start with. You must apply these ratios to calculate real component values.
There are a great many types of filter designs in this book. There are your standard lossless Bessel/Butterworth/Chebyshev kinds; and there are coefficients that have been adjusted to compensate for assumed losses in components; and there are tapered impedance (Zin != Zout) coefficients; and there are single-loss (Zin finite, Zout zero or infinite) coefficients; and on and on.
There is a restriction: if the filter network is lossless, then there must be a loss element either at the source, load, or both. If there is no loss element, then energy circulates forever, and the whole thing is a terrible mess. (This is easier to illustrate in SPICE than in real life, because there are no truly lossless components in real life!)
A filter works by reflecting* undesired energy, so that the excess is either returned to the source, or absorbed by the source's own resistance.
If you don't know what you need, you should probably choose an ordinary Butterworth design (with or without loss adjustments), and design your circuit so that the reflected (undesired) power is dealt with somehow (often, something as crude as a -3dB pad).
*You can make an absorbing (constant-resistance) filter by adding a damping network and massaging the other component values. An occasional resident here derived some examples:
formatting link
Tim
--
Seven Transistor Labs, LLC
Electrical Engineering Consultation and Contract Design
Website: http://seventransistorlabs.com
wrote in message
news:17023b99-4859-44ae-b593-f53744ddb663@googlegroups.com...
> Could some electronics?RF design guru please help ?
>
> I was looking over some online tutorials on RF filter
> design, and some questions came to mind.
> 1. Why is the source and load resistances always set
> to 1 Ohm that is for a maximally matched filter, why
> could the source and load imppedances be greater than
> 1 Ohm ?
> 2. What is an unit element, and what esactly is its
> functionality ?
>
> Basically, it is all fine to start with a normalized
> filter and read in filter coefficients from a table,
> but is there any restriction that no higher value source
> or load impedances be used ?
>
> Any hints/suggestions/pointers would be of immense help.
> Thanks in advance.