Recent questions tagged nyquist

Consider a discrete memoryless source with an alphabet of four source symbols. $s(t)$ is a multi-level $(-1,0,+1,+2)$ signal representing a long sequence of random symbol...

A digital communication system transmits through a noiseless bandlimited channel $[-W W]$. The received signal $z(t)$ at the output of the receiving filter is given by $z...

Consider a feedback system with the open-loop transfer function, given by\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(2 s+1)}\]Examine the stability of the closed-lo...

The loop transfer function of a single loop control system is given by\[\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{100}{s(1+0.01 s)} e^{-s \mathrm{T}}\]Using the...

The figure shows the Nyquist plot of the open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ of a system. If $\mathrm{G}(s) \mathrm{H}(\mathrm{s})$ has one...

Consider a closed-loop control system with unity negative feedback and $KG(s)$ in the forward path. where the gain $K = 2.$ The complete Nyquist plot of the transfer func...

Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is$8$$...

An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with pro...

The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ iszero.one,anti-clockwise.one, cloc...

A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer functionencircles the $s$-plane point $(-1+j0)$ in the counter clockwis...

Consider a continuous-time signal defined as$$x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$$where $’\ast’$ denotes the ...

Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist samp...

Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct?$G(s)$ is an all-pass filter...

A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$$ The Nyquist path and the corresponding Nyquist p...

The Nyquist plot of the transfer function$$G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$$does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K...