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The group delay and phase delay properties of a linear time-invariant (LTI) system are functions of frequency, giving the time from when a frequency component of a time varying physical quantity—for example a voltage signal—appears at the LTI system input, to the time when a copy of that same frequency component—perhaps of a different physical phenomenon—appears at the LTI system output.
So, a minimum phase system with all zeros inside the unit circle minimizes the group delay since the group delay of each individual zero is minimized. Illustration of the calculus above. Top and bottom are filters with same gain response (on the left : the Nyquist diagrams , on the right : phase responses), but the filter on the top with a = 0. ...
The group delay (the frequency-dependent amount of delay introduced to the envelope of the sinusoid by the transfer function) is found by computing the derivative of the phase shift with respect to angular frequency , = ().
In signal processing, linear phase is a property of a filter where the phase response of the filter is a linear function of frequency.The result is that all frequency components of the input signal are shifted in time (usually delayed) by the same constant amount (the slope of the linear function), which is referred to as the group delay.
In this technique (usually) the tweeter's signal is phase-shifted (usually a delay since tweeter is ahead of the woofer). This phase shift introduces an equivalent time shift in the tweeter's sound wave such that it corrects the time difference between the woofer and tweeter due to the physical offset.
Leach[15] introduced the concept of differential time-delay distortion, defined as the difference between the phase delay and the group delay, which is given by: =. An ideal system should exhibit zero or negligible differential time-delay distortion.[15]":
Digital phase shifters provide a discrete set of phase shifts or time delays. Discretization leads to quantization errors. Digital phase shifters require parallel bus control. Differential, single-ended or waveguide: Differential transmission line: A differential transmission line is a balanced two-conductor transmission line in which the phase ...
The delay line avoids a dead band. On the right is a charge pump with a filter at its output. A phase detector or phase comparator is a frequency mixer, analog multiplier or logic circuit that generates a signal which represents the difference in phase between two signal inputs. The phase detector is an essential element of the phase-locked ...