[net.audio] Ugly Square Waves

lincoln@eosp1.UUCP (Dick Lincoln) (06/14/84)

> If you want to see some ugly square waves, hook up a function
> generator to your amplifier, put some low-amplitude square waves
> through your system, and hook the 'scope up to a microphone placed at
> any convenient distance from your speakers.  That's right, *your*
> speakers; I don't care what kind they are or how much you paid for
> them.  You will see "square" waves that are considerably more
> distorted and ragged on top than any CD player produces.  Does this
> mean your speakers are no good?  Of course not, [because musical
> instruments don't produce square waves and square wave response is,
> at best, a very rough measure of the frequency response of a system.]

Low *frequency* square waves at "significant" power levels make a good
indicator of power amplifier bass driving and distortion capability
even into resistive loads without mic'ed speakers.  Try a 60 or 100 Hz
square wave fed as "directly" as possible into even a "good" amplifier
("tape monitor" input with "flat" tone controls for a receiver), and
use a dual trace sope to show the generator input contrasted to the
power amp terminal output at, say, 10% of rated output (you need hefty
power resistor loads).  You will probably see significant "droop"
(lesser trailing portions) in the top and bottom "flat" portions of the
wave, indicating significant phase shift in the amp's frequency
response over the "active" band (square wave harmonic amplitude drops
like 1/f).

The demonstrated low frequency phase lag indicates low frequency band
width problems in the *overall* feedback loop gain through both the
"forward" gain stages and the feedback circuit (unless you are feeding
through pre-amp tone controls which are not set "flat").  In 60 Hz
square wave patterns with 100% droop (all too common), the feedback
loop gain approaches zero at the square wave fundamental frequency,
indicating you have no effective damping (because of *several ohms*
effective output impedance) and noise/distortion canceling at that
frequency in your amp.

When you see a significantly "droppy" 100Hz square wave pattern, you
have a "sloppy", boomy" bass driving amplifier.  Yet if you measured
the simple sine wave amplitude response over this same frequency band
into the resistive load, it would probably be as flat as a pancake.

Square waves whose fundamental and 9th harmonic are within the
bandwidth of interest (I can't appreciate less than 10% differences in
a scope waveform) are handy test tools because they show simultaneous
amplitude and phase relationships very sensitively in one picture over
a fairly broad band (1/f drop-off, remember?).  A recorded 1KHz square
wave would certainly show the alleged CD 3-4KHz response "bulge" (if it
exists) unmistakably.  60Hz-5KHz square waves are useful audio test
signals.

lincoln@eosp1.UUCP (Dick Lincoln) (06/14/84)

Oops, in my article I claimed that the amplitude relationship between
square wave harmonic Fourier components was 1/f (for frequency); what I
meant was 1/n where "n" is the harmonic order.  I.e., the "third"
harmonic has 1/3 the amplitude of the fundamental, and so on.  All
harmonic components are exactly "in phase" with one another - they all
cross the time axis ascending in amplitude at exatly the same periodic
points.  Sorry 'bout that.