Step 1: First we calculate the Nyquist frequency: \[ f_{nyquist} = 2 \times 3.6 kHz = 7.2 kHz \]
Step 2: The sampling frequency \(f_s\) is same as the data rate in a delta modulator, that is 43.2 kbps.
Step 3: To find what multiple of Nyquist rate the sampling frequency is, we calculate: \[ \frac{43.2 kHz}{7.2 kHz} = 6 \] Therefore, the sampling frequency is 6 times the Nyquist rate.
Let \( G(s) = \frac{1}{(s+1)(s+2)} \). Then the closed-loop system shown in the figure below is:
The open-loop transfer function of the system shown in the figure is: \[ G(s) = \frac{K s (s + 2)}{(s + 5)(s + 7)} \] For \( K \geq 0 \), which of the following real axis point(s) is/are on the root locus?
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: