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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.
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An ideal delay line characteristic has constant attenuation and linear phase variation, with frequency, i.e. it can be expressed by =where τ is the required delay.. As shown in lattice networks, the series arms of the lattice, za, are given by
A PMD compensation system is a device which uses a polarization controller to compensate for PMD in fibers.Essentially, one splits the output of the fiber into two principal polarizations (usually those with dτ dω = 0, i.e. no first-order variation of time-delay with frequency), and applies a differential delay to re-synchronize them.
Group delay can be different at different frequencies (as by band-limited passive loudspeakers or microphones), or it can be (roughly) constant for certain circuits, e.g., delay lines, and you cannot observe time-smearing of frequencies within the limited frequency band where group delay is constant (i.e., phase response is linear).
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A Florida woman who said she was playing a game with her boyfriend when she zipped him up in a suitcase and left him to die has been sentenced to life in prison.
The signal delay of a wire or other circuit, measured as group delay or phase delay or the effective propagation delay of a digital transition, may be dominated by resistive-capacitive effects, depending on the distance and other parameters, or may alternatively be dominated by inductive, wave, and speed of light effects in other realms.