Sound-quality of Class-D Amplifiers
Less distortion than class AB ?
A main disadvantage of class B is
crossover distortion as discussed completely by Douglas Self in EWW.
See also http://www.dself.dsl.pipex.com/
In most high quality amplifiers this distortion is reduced by rising the
bias current, making the amplifier operate in Class A at low power levels. This
reduces the distortion at the zero-crossings but the problem is then shifted
to a higher level where class B begins.
Another distortion mechanism
of class B is supply line pollution, When we look at the supply current during
a sinusoid output signal, it looks like a single phase rectified sine with high
harmonics generated at the sharp edges. At higher frequencies the PSU rejection
ratio is poor resulting in highly non-linear modulation of the output-voltage.
An power supply with zero output resistance at all audio frequencies will prevent
this problem. In better Analog amplifiers the housings are filled with caps
of 10,000 mF or more per channel to reduce the supply resistance. In class A
operation there is no supply problem at all, except the huge energy account.
The current drawn is only DC.
Distortion mechanisms in class
D :
In a class D amplifier the distortion mechanisms, are complete different.
Distortion at zero-crossings like in AB amplifiers does not occur.
A similar but very complex distortion mechanism is caused by the dead time period
between the switching periods of both transistors. When both output transistors
are in off-state, the output voltage at the transistor-output is dependent of
the current in the filter-coil, which is non-linear dependent of the momentary
output-level, creating a voltage drop when the output-current reaches a certain
level.
By switching on the 2 transistors fast after each other, with a dead time of
only nanoseconds, this distortion-mechanism is minimized. In the remaining dead-time,
the momentary output voltage is determined by the charging of the parasitic
output capacitors by the inductor current. A large parasitic output capacity smoothens
this error voltage, reducing the distortion to only low harmonics.
This distortion gets measurable (-100dB) when the output current is reaching
the peak of the sawtooth-shape idle-current of the output-inductor. This current
draws no power when the Q-factor of the output inductor is high. In our amplifier
LPC1 this idle-current is 1/3 of the maximum output current (12 Amps) so the
dead-time-distortion begins at 10 dB below maximum output. Using the high idle-current
for charging the parasitic capacity will also reduce the switching losses.
The dead time is accurately matched to the charging time of the parasitic output capacitors
for minimizing distortion and switching losses.
The supply line pollution has of a much more friendly behavior. Looking at the current drawn from the
supply lines, its waveform has a low-frequency component, which is the square
of the output signal. With a sinusoid as output signal, and a certain linear
output resistance in the supply, a signal with the double frequency will be
added to the supply voltage. In a PWM output stage with no feedback the output-signal
will be multiplied with this supply voltage. A sinusoid output signal will be
modulated by its square and thus resulting in pure third harmonic distortion.
It can be easily calculated that an output stage without feedback driving a
4 Ohm load to 80% of the supply voltage (80V), (resulting in 128W) and powered
by a poor supply with 0.1 Ohm will result in 1% D3 distortion. If the supply
is only buffered with a capacitor of just 3300 mF and the output stage is fed
back with a bandwidth-product of 100 kHz, this D3 is reduced to 0.005% (-86
dB) at all frequencies. However when the supply is only buffered with large
caps, low-frequency signals can cause second order inter modulation at higher
frequencies which is much higher than this calculated D3.
In the LPC1, the supplyline intermodulation is cancelled completely by a patented
circuit, making the amplifier open-loop gain fully independent of supply voltage,
even at 20 kHz.
Sound of THD
The main explanation for the better sound-quality in this class-D amplifier
is that the calculated and measured non-linear distortion mechanisms all result
in distortion-components which increase proportional with the sound level. The
relatively high THD-number (0.003% or 90 dB at 1kHz, 400W) comprises most low
(3rth and 5th) harmonics.
This distortion is masked by the non-linear distortion and compression of most
ears and loudspeakers. In contrast, the harmonics caused by crossover in class
AB do peak at low output levels, and have a wider spectrum, making the same
THD-number much more audible.
Output impedance
A second disadvantage of a switching amplifier is its complex output impedance
caused by the output filter.
The output voltage gain is frequency independent (within 0.1 dB to 40 kHz) when
the amplifier is loaded with 2 Ohms at all frequencies. But at other loads the
output impedance will affect the frequency response.
This effect is minimized by making the inductors in the output filter as small
as possible (6 + 2 microH when designed for 2 Ohm).
The poles and zeros of the filter impedance are outside the audioband, and the
output inductance causes only a rise or fall of the frequency response (until
+2 or -1 dB at 20 kHz) when loaded with 4 or 1 Ohm instead of 2 Ohm. This can
be equalized easily. The inductance of loudspeaker cables (especially the expensive
ones) is in the same order of magnitude (but not compensated) as the (8 uH)
inductance of the filter. For a flat filter response, a constant speaker impedance
is recommended.
A class D amplifier with extra feedback
from the output of the filter, reducing the output impedance, is in development.

Very old prototype of 1 kW Amplifier,
only the size is real.
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