title: Amplitude distortion
text: # Amplitude distortion
  
  Amplitude distortion is distortion occurring in a system, subsystem, or device when the output amplitude is not a linear function of the input amplitude under specified conditions.
  
  Generally, output is a linear function of input only for a fixed portion of the transfer characteristics. In this region, $I_c=βI_b$ where Ic is collector current and Ib is base current, following linear relation y=mx.
  
  When output is not in this portion, two forms of amplitude distortion might arise
  
  * Harmonic distortion : The creation of harmonics of the fundamental frequency of a sine wave input to a system.
  * Intermodulation distortion : This form of distortion occurs when two sine waves of frequencies X and Y are present at the input, resulting in the creation of several other frequency components, whose frequencies include (X+Y), (X-Y), (2X-Y), (2Y-X), and generally (mX ± nY) for integer m and n. Generally the size of the unwanted output falls rapidly as m and n increase.
  
  Due to the additional outputs, this form of distortion is definitely unwanted in audio, radio and telecommunication amplifiers, and it occurs for more than two waves as well.
  
  In a narrowband system such as a radio communication system, unwanted outputs such as X-Y and 2X+Y will be remote from the wanted band and so be ignored by the system. In contrast, 2X-Y and 2Y-X will be close to the wanted signals. These so-called third order distortion products (third order as m+n = 3) tend to dominate the non-linear distortion of narrowband systems.
  
  Amplitude distortion is measured with the system operating under steady-state conditions with a sinusoidal input signal. When other frequencies are present, the term "amplitude" refers to that of the fundamental only.
  
  