Theoretical Basis
Parts of the design problem relate to the fact that certain requirements are described in the frequency domain while others are expressed in the signal domain and that these may contradict. For example, it is not possible to obtain a filter which has both an arbitrary impulse response and arbitrary frequency function. Other effects which refer to relations between the signal and frequency domain are
- The uncertainty principle between the signal and frequency domains
- The variance extension theorem
- The asymptotic behaviour of one domain versus discontinuities in the other
Read more about this topic: Filter Design
Famous quotes containing the words theoretical and/or basis:
“There are theoretical reformers at all times, and all the world over, living on anticipation.”
—Henry David Thoreau (1817–1862)
“Far from being the basis of the good society, the family, with its narrow privacy and tawdry secrets, is the source of all our discontents.”
—Sir Edmund Leach (20th century)