Key words: time delay systems, argument principle, distributed delays, Nyquist criterion
In this contribution, we derive the generalized Nyquist criterion for LTI-TDS with distributed delays, for both retarded and neutral cases, ensuring the closed loop asymptotic and robust stability.
Theoretical signal processing work done by Shannon and others showed that if the Nyquist criterion
is satisfied, the original signal could be reconstructed exactly, not just approximately.
In terms of that figure, the Nyquist criterion for a normalized FSK phase trajectory q(t) is
25 here, The function of the Nyquist criterion is to assure that each symbol value influences one and only one synchronous phase transition.
A good rule is to use the Nyquist criterion, which basically says that one should collect two points per resolution size (Inoue and Spring, 1997, p.
based on the Nyquist criterion, the desired sampling rate should be twice the resolution, so we want a pixel size in the object of [R.
To simply meet the Nyquist criterion
, we would need to sample this signal with a rate of 105 MS/s.
The Nyquist criterion is a graphical method that allows determination of the stability of a closed-loop system, starting from the system's open-loop transfer function.
By applying the Nyquist criterion to active RF and microwave circuits as shown in Figure 2, if [[Gamma].
The factor of 2 satisfies the Nyquist criterion
, and the ratio 0.
It follows from the Nyquist criterion
as explained in the sidebar that the presence of poles in the right half-plane and the system instability can be determined by the encirclements of point I + j0 by the contour G(j[Omega])H(j[Omega]).