April
2005, Issue 177
Test Your EQ
Each
month, Test Your EQ presents some basic engineering
problems for you to test your Engineering Quotient.
What's your EQ?
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Problem
1—Is
it possible to create a digital all-pass filter that has
a group delay that’s a fraction of the sample period?
Answer
Problem
2In digital signal processing applications, there
is sometimes an effect known as the Gibbs phenomenon, which
is a characteristic ringing associated with sharp edges
and transients. Is this a function of sampling, quantization,
or filtering in the system? Or is it a combination of all
three? Is this a problem?
Answer
Problem 3If
you could operate your automobile on Mars, what would the
braking distances be like relative to Earth?
Answer
Problem
4What are the five built-in and 10 “transient”
commands that come in a standard CP/M 2.2 distribution?
What’s the difference between the two categories?
Answer
Problem
5You’re caught out in the rain without your umbrella,
and the nearest shelter is hundreds of yards away. At least
there’s no wind. The rain is falling straight down at a
fairly steady rate. Are you going to get wetter if you run
to the shelter or just walk slowly?
Answer
Problem
6Sometimes an application needs to calculate the
date of “yesterday,” and a tempting way to do this is to
simply subtract 86,400 (24 × 60 × 60) from the current system
time (free-running seconds counter) and then covert the
result to a date. But this will fail twice a year. Can you
correctly identify the exact times for which it will fail
and why?
Answer
Problem
7The following text was found in an RF design
reference: “When the receiver must cover a wide carrier-frequency
range, the choice of fLO = fC + fIF
may result in a smaller and more readily achieved local
oscillator tuning ratio.”
What
is the tuning ratio of the local oscillator of a superhet
receiver, and why is this important?
Answer
Problem
8The standard composite FM broadcast signal
carries the L + R signal from 0 to 15 kHz, a 19-kHz pilot
tone, and the L – R signal as a DSB (suppressed carrier)
signal running from 23 to 53 kHz. What sampling rate is
required to accurately capture this signal?
Answer
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