72 High Frequency Electronics
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ASK THE EXPERTS
Unexpected Filter Behavior
Editor:
I designed an L-C anti-aliasing filter for the input
to an A/D converter, but when it was built and tested,
the response was nothing like the computer predicted.
It had a rounded shape in the region near the cutoff,
and instead of a nice steep rolloff to infinity, there were
some unusual responses in the stopband.
I’m sure it has something to do with the components, but I’m mainly a digital guy and hope to learn
more from what your experts say.
J.C.
Los Altos, CA
J.C., You’re on the Right Track
The lack of a clean transition between passband
and stopband is a classic result of low-Q components,
almost always inductors, since capacitor manufacturing is not subject to as many physical effects as are
found with inductors. We are guessing that you simulated the filter either with ideal components, or with
components having a Q higher than the ones used
when constructing the filter.
You didn’t identify the cutoff frequency of the filter,
but since you chose to use an L-C filter, we are quite
certain it is no more than a couple hundred MHz, probably lower. Mass-produced inductors have a Q in the
range of 40 to 60, but it takes Q greater than 100 to get
good response near cutoff. Lower-Q inductors can be
used successfully, but will require some compromise in
passband flatness or cutoff frequency (usually some of
each) to get a reasonably sharp “knee” and a fast
rolloff above cutoff. Most design software allows you to
optimize to the parameters you select—in this case,
the filter would be optimized to the maximum passband ripple you can tolerate, and to the particular
value of attenuation desired at a frequency not far
beyond cutoff.
Re: Unwanted Responses in the Stopband
The most likely reason for unwanted responses in
the stopband is board layout, but component behavior
can be the culprit, as well. Improper layout can create
coupling from input to output, or magnetic coupling
between inductors if they are located too close to one
another. Coupling is largely frequency-dependent and
if this is, say, a filter with a 100 MHz cutoff, we would
consider layout the prime suspect. Often, a designer
will try to save space by “folding” the circuit, which can
place the input an output close together. It may also
place inductors in proximity, where the magnetic fields
can be coupled.
A more remote possibility is that the filter uses a
design that requires a larger-than-normal inductance
value. An inductor has low-reactance transmission
modes above its self-resonant frequency (SRF), as well
as a high impedance near SRF. If the design allows
either of these to come into play, the response of the filter can be dramatically affected.
In summary, J.C. should look at his board layout to
see if it allows coupling, then see if the inductors are
behaving as expected.
A Short Explanation for Digital Predistortion?
An unsigned question received by e-mail asked
about digital predistortion, a method for enhancing
the linearity of power amplifiers. The reader asked for
a brief, non-mathematical description.
It’s a Type of Error-Correction
The simplest description of digital predistortion is
that it is a type of error-correction that anticipates the
effect that nonlinear amplification will have on the
eventual demodulated data. Unfortunately, the details
of how that is accomplished are not so simple!
One technique that is fairly easy to grasp is the
coding of the data with a coding sequence that is
designed to minimize the size of the transitions
between data states in adjacent symbols. In simpler
terms, the data is manipulated so that it doesn’t create
big spikes in the modulated signal. A large, nearly
instantaneous phase or amplitude shift is hard for an
amplifier to reproduce accurately, compared to relatively small transitions.
Questions Wanted
We welcome questions and answers from readers
who have helped their colleagues, particularly from
applications support engineers at supplier companies.
We know you get some excellent questions, and our
readers would benefit from your sharing of these Q&A
examples!
Whether it is a question for our experts, or an example Q&A as noted above, send them by e-mail to:
editor@highfrequencyelectronics.com. You can also
mail them to the Editorial Office address on page 6.
From January 2004 High Frequency Electronics
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