Question 1
Marks : +2 | -2
Pass Ratio : 100%
In Nth order differential equation, the characteristics of bilinear transformation, let z=rejw,s=o+jΩ Then for s = \\(\\frac{2}{T}(\\frac{1-z^{-1}}{1+z^{-1}})\\), the values of Ω, ℴ are
Explanation: s = \\(\\frac{2}{T}(\\frac{z-1}{z+1}) \\)
Question 3
Marks : +2 | -2
Pass Ratio : 100%
In equation ℴ = \\(\\frac{2}{T}(\\frac{r^2-1}{1+r^2+2rcosω})\\) if r < 1 then ℴ < 0 and then mapping from s-plane to z-plane occurs in which of the following order?
Explanation: In the above equation, if we substitute the values of r, â„´ then we get mapping in the required way
Question 4
Marks : +2 | -2
Pass Ratio : 100%
What is the system function of the equivalent digital filter? H(z) = Y(z)/X(z) = ?
Explanation: As we considered analog linear filter with system function H(s) = b/s+a
Question 6
Marks : +2 | -2
Pass Ratio : 100%
In the Bilinear Transformation mapping, which of the following are correct?
Explanation: The bilinear transformation is a conformal mapping that transforms the jΩ-axis into the unit circle in the z-plane and all the points are linked as mentioned above.
Question 8
Marks : +2 | -2
Pass Ratio : 100%
We use y{‘}(nT)=-ay(nT)+bx(nT) to substitute for the derivative in y(nT) = \\(\\frac{T}{2} [y^{‘} (nT)+y^{‘} (nT-T)]+y(nT-T)\\) and thus obtain a difference equation for the equivalent discrete-time system. With y(n) = y(nT) and x(n) = x(nT), we obtain the result as of the following?
Explanation: When we substitute the given equation in the derivative of other we get the resultant required equation.
Question 9
Marks : +2 | -2
Pass Ratio : 100%
The approximation of the integral in y(t) = \\(\\int_{t_0}^t y\'(Ï„)dt+y(t_0)\\) by the Trapezoidal formula at t = nT and t0=nT-T yields equation?
Explanation: By integrating the equation,
Question 10
Marks : +2 | -2
Pass Ratio : 100%
The z-transform of below difference equation is?
Explanation: By performing the z-transform of the given equation, we get the required output/equation.