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Amplifier Distortion


If the output of an amplifier is not a complete AC sine wave,
then it is distorting the output. The amplifier is non-linear.

This distortion can be analyzed using Fourier analysis. In
Fourier analysis, any distorted periodic waveform can be
broken down into frequency components. These
components are harmonics of the fundamental frequency.




                             1
Harmonics
Harmonics are integer multiples of a fundamental frequency.

If the fundamental frequency is 5kHz:

    1st harmonic         1 x 5kHz
    2nd harmonic         2 x 5kHz
    3rd harmonic         3 x 5kHz
    4th harmonic         4 x 5kHz
    etc.

Note that the 1st and 3rd harmonics are called odd harmonics and the
2nd and 4th are called even harmonics.




                                2
Harmonic Distortion



According to Fourier
analysis, if a signal is not
purely sinusoidal, then it
contains harmonics.




                               3
Harmonic Distortion Calculations
Harmonic distortion (D) can be calculated:

                                             An
     % nth harmonicdistortion  %Dn             100
                                             A1

     where
         An is the amplitude of the fundamental frequency
         An is the amplitude of the highest harmonic


The total harmonic distortion (THD) is determined by:


      % THD  D 2  D 2  D 2    100
                2     3     3




                               4
Class C Amplifiers

A class C amplifier conducts for less
than 180. In order to produce a full
sine wave output, the class C uses a
tuned circuit (LC tank) to provide
the full AC sine wave.

Class C amplifiers are used
extensively in radio communications
circuits.




                                  5
In Class C, the amplifying device is deliberately not
operated linearly. Instead, it is operated as a switch in
order to reduce resistance loss. The anode conduction
angle in Class C operation is usually made as short as is
possible. In effect, the tank circuit makes the RF output
sine wave--like a bell that is struck at a constant rate by a
hammer.
During the positive period of the input signal (On stage)
During the positive period of the input signal the transistor will conduct (On-state). You can imagine that the
transistor is a switch which connects the emitter with the collector.
What will happened now is that the current I1 (red) flow through the coil and then into the transistor and down to
ground. A magnetic field builds up in the coil depending on the magnitude of the current. At the same time the
voltage over the capacitor discharge through the resistor making another current flow I2 (blue) also through the
transistor. The I2 current passes the resistor (antenna) which radiate the energy.

During the negative period of the input signal (Off stage)
During the negative period of the input signal the transistor will not conduct (Off-state). You can imagine that the
transistor is an open switch. No current can pass through the collector to the emitter.
The magnetic filed which was build up in the coil will now collapse and generate a current I1 (red) which will flow
through the capacitor and into the resistor (antenna).
Class D Amplifier

A class D amplifier amplifies
pulses, and requires a pulsed
input.

There are many circuits that
can convert a sinusoidal
waveform to a pulse, as well
as circuits that convert a
pulse to a sine wave. This
circuit has applications in
digital circuitry.




                                8
The term "class D" is sometimes misunderstood as
meaning a "digital" amplifier. While some class D amps
may indeed be controlled by digital circuits, the power
stage deals with voltage and current as a function of time.
The smallest amount of noise, timing uncertainty, voltage
ripple or any other non-ideality immediately results in an
irreversible change of the output signal. A digital circuit also
uses physics to operate, but those same errors will only
lead to incorrect results when they become so large that a
signal representing a digit is distorted beyond recognition
Topologies
• There are basically two Class-D topologies - half-bridge (2 output devices are
  used) and full-bridge (4 output devices).
• Each one has its own advantages. For example, half-bridge is obviously simpler
  and has more flexibility as a half-bridge amplifier can be bridged as with classical
  topologies. If it is not correctly designed and driven, can suffer from "bus
  pumping" phenomena (transfer current to the power supply that can make it
  increase its voltage producing situations dangerous to the amplifier, supply and
  speaker).
• Full bridge requires output devices rated for half the voltage as an half bridge
  amplifier of the same power, but it is more complicated. Figures 5a and 5b show
  both topologies conceptually. Obviously, many components such as decoupling
  capacitors, etc are not shown
Half bridge Class-D topology
Full bridge Class-D topology
Advantages
• Despite the complexity involved, a properly designed class D
  amplifier offers the following benefits:
   – Reduction in size and weight of the amplifier,
   – Reduced power waste as heat dissipation and hence smaller (or
     no) heat sinks,
   – Reduction in cost due to smaller heat sink and compact circuitry,
   – Very high power conversion efficiency, usually above 90%
     above one quarter of the amplifier's maximum power, and around
     50% at low power levels.
Uses
• Home Theatre systems. In particular the economical "home theatre
  in a box" systems are almost universally equipped with class D
  amplifiers. On account of modest performance requirements and
  straightforward design, direct conversion from digital audio to
  PWM without feedback is most common.
• Mobile phones. The internal loudspeaker is driven by up to 1 W.
  Class D is used to preserve battery lifetime.
• Powered speakers
• High-end audio is generally conservative with regards to adopting
  new technologies but class D amplifiers have made an appearance
• Active subwoofers
• Sound Reinforcement and Live Sound. The weight reduction makes
  class D amplifiers more transportable. The Crest Audio CD3000, for
  example, is a class D power amplifier that is rated at 1500 W per
  channel, yet it weighs only 21 kg (46 lb).
• Bass amplifiers Again, an area where portability is important.
  Example: Yamaha BBT500H bass amplifier which is rated at
  500 W, and yet it weighs less than 5 kg (11 lb).
Class T amplifier
• Is an audio amplifier IC design. Rather than being a separate "class" of
  amplifier, Class T is a registered trademark for Tripath's amplifier technologies.
• It is an implementation of Class D amplifiers, but is claimed to improve the
  control scheme to create more efficient and higher quality audio amplification.
• The control signals in Class T amplifiers may be computed using digital signal
  processing or fully analog techniques. Currently available implementations use a
  loop similar to a higher order Delta-Sigma (ΔΣ) (or sigma-delta) modulator, with
  an internal digital clock to control the sampled comparator.
• Despite Tripath's claimed increased performance at a price similar to class D
  technology, financial difficulties caused Tripath to file for Chapter 11 bankruptcy
  protection on 8 February 2007.

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Amplifier Distortion: Fourier Analysis Breaks Down Waveforms Into Harmonic Frequencies

  • 1. Amplifier Distortion If the output of an amplifier is not a complete AC sine wave, then it is distorting the output. The amplifier is non-linear. This distortion can be analyzed using Fourier analysis. In Fourier analysis, any distorted periodic waveform can be broken down into frequency components. These components are harmonics of the fundamental frequency. 1
  • 2. Harmonics Harmonics are integer multiples of a fundamental frequency. If the fundamental frequency is 5kHz: 1st harmonic 1 x 5kHz 2nd harmonic 2 x 5kHz 3rd harmonic 3 x 5kHz 4th harmonic 4 x 5kHz etc. Note that the 1st and 3rd harmonics are called odd harmonics and the 2nd and 4th are called even harmonics. 2
  • 3. Harmonic Distortion According to Fourier analysis, if a signal is not purely sinusoidal, then it contains harmonics. 3
  • 4. Harmonic Distortion Calculations Harmonic distortion (D) can be calculated: An % nth harmonicdistortion  %Dn   100 A1 where An is the amplitude of the fundamental frequency An is the amplitude of the highest harmonic The total harmonic distortion (THD) is determined by: % THD  D 2  D 2  D 2    100 2 3 3 4
  • 5. Class C Amplifiers A class C amplifier conducts for less than 180. In order to produce a full sine wave output, the class C uses a tuned circuit (LC tank) to provide the full AC sine wave. Class C amplifiers are used extensively in radio communications circuits. 5
  • 6. In Class C, the amplifying device is deliberately not operated linearly. Instead, it is operated as a switch in order to reduce resistance loss. The anode conduction angle in Class C operation is usually made as short as is possible. In effect, the tank circuit makes the RF output sine wave--like a bell that is struck at a constant rate by a hammer.
  • 7. During the positive period of the input signal (On stage) During the positive period of the input signal the transistor will conduct (On-state). You can imagine that the transistor is a switch which connects the emitter with the collector. What will happened now is that the current I1 (red) flow through the coil and then into the transistor and down to ground. A magnetic field builds up in the coil depending on the magnitude of the current. At the same time the voltage over the capacitor discharge through the resistor making another current flow I2 (blue) also through the transistor. The I2 current passes the resistor (antenna) which radiate the energy. During the negative period of the input signal (Off stage) During the negative period of the input signal the transistor will not conduct (Off-state). You can imagine that the transistor is an open switch. No current can pass through the collector to the emitter. The magnetic filed which was build up in the coil will now collapse and generate a current I1 (red) which will flow through the capacitor and into the resistor (antenna).
  • 8. Class D Amplifier A class D amplifier amplifies pulses, and requires a pulsed input. There are many circuits that can convert a sinusoidal waveform to a pulse, as well as circuits that convert a pulse to a sine wave. This circuit has applications in digital circuitry. 8
  • 9. The term "class D" is sometimes misunderstood as meaning a "digital" amplifier. While some class D amps may indeed be controlled by digital circuits, the power stage deals with voltage and current as a function of time. The smallest amount of noise, timing uncertainty, voltage ripple or any other non-ideality immediately results in an irreversible change of the output signal. A digital circuit also uses physics to operate, but those same errors will only lead to incorrect results when they become so large that a signal representing a digit is distorted beyond recognition
  • 10. Topologies • There are basically two Class-D topologies - half-bridge (2 output devices are used) and full-bridge (4 output devices). • Each one has its own advantages. For example, half-bridge is obviously simpler and has more flexibility as a half-bridge amplifier can be bridged as with classical topologies. If it is not correctly designed and driven, can suffer from "bus pumping" phenomena (transfer current to the power supply that can make it increase its voltage producing situations dangerous to the amplifier, supply and speaker). • Full bridge requires output devices rated for half the voltage as an half bridge amplifier of the same power, but it is more complicated. Figures 5a and 5b show both topologies conceptually. Obviously, many components such as decoupling capacitors, etc are not shown
  • 13. Advantages • Despite the complexity involved, a properly designed class D amplifier offers the following benefits: – Reduction in size and weight of the amplifier, – Reduced power waste as heat dissipation and hence smaller (or no) heat sinks, – Reduction in cost due to smaller heat sink and compact circuitry, – Very high power conversion efficiency, usually above 90% above one quarter of the amplifier's maximum power, and around 50% at low power levels.
  • 14. Uses • Home Theatre systems. In particular the economical "home theatre in a box" systems are almost universally equipped with class D amplifiers. On account of modest performance requirements and straightforward design, direct conversion from digital audio to PWM without feedback is most common. • Mobile phones. The internal loudspeaker is driven by up to 1 W. Class D is used to preserve battery lifetime. • Powered speakers • High-end audio is generally conservative with regards to adopting new technologies but class D amplifiers have made an appearance
  • 15. • Active subwoofers • Sound Reinforcement and Live Sound. The weight reduction makes class D amplifiers more transportable. The Crest Audio CD3000, for example, is a class D power amplifier that is rated at 1500 W per channel, yet it weighs only 21 kg (46 lb). • Bass amplifiers Again, an area where portability is important. Example: Yamaha BBT500H bass amplifier which is rated at 500 W, and yet it weighs less than 5 kg (11 lb).
  • 16. Class T amplifier • Is an audio amplifier IC design. Rather than being a separate "class" of amplifier, Class T is a registered trademark for Tripath's amplifier technologies. • It is an implementation of Class D amplifiers, but is claimed to improve the control scheme to create more efficient and higher quality audio amplification. • The control signals in Class T amplifiers may be computed using digital signal processing or fully analog techniques. Currently available implementations use a loop similar to a higher order Delta-Sigma (ΔΣ) (or sigma-delta) modulator, with an internal digital clock to control the sampled comparator. • Despite Tripath's claimed increased performance at a price similar to class D technology, financial difficulties caused Tripath to file for Chapter 11 bankruptcy protection on 8 February 2007.