Frequency Domain - Different Frequency Domains

Different Frequency Domains

Although "the" frequency domain is spoken of in the singular, there are a number of different mathematical transforms which are used to analyze time functions and are referred to as "frequency domain" methods. These are the most common transforms, and the fields in which they are used:

  • Fourier series – repetitive signals, oscillating systems
  • Fourier transform – nonrepetitive signals, transients
  • Laplace transform – electronic circuits and control systems
  • Wavelet transform – digital image processing, signal compression
  • Z transform – discrete signals, digital signal processing

More generally, one can speak of the transform domain with respect to any transform. The above transforms can be interpreted as capturing some form of frequency, and hence the transform domain is referred to as a frequency domain.

Read more about this topic:  Frequency Domain

Famous quotes containing the words frequency and/or domains:

    The frequency of personal questions grows in direct proportion to your increasing girth. . . . No one would ask a man such a personally invasive question as “Is your wife having natural childbirth or is she planning to be knocked out?” But someone might ask that of you. No matter how much you wish for privacy, your pregnancy is a public event to which everyone feels invited.
    Jean Marzollo (20th century)

    I shall be a benefactor if I conquer some realms from the night, if I report to the gazettes anything transpiring about us at that season worthy of their attention,—if I can show men that there is some beauty awake while they are asleep,—if I add to the domains of poetry.
    Henry David Thoreau (1817–1862)