Consider the two 8-point QAM signal constellations shown in Figure P3.6. The distance between adjacent points is 2A. Determine the average transmitted powe constellation, assuming that the signal points are equally probable. Which conste more power-efficient? FIGURE P3.6

.19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet flow rate (m*/s) Both are defined as deviations from the nominal steady-state values. Thus, y-u0 at the nominal steady state. Also, the initial values of all the derivatives are zero. (a) If u(t) suddenly changes from 0 to 1 m/s at 0, deter- mine the liquid level response, y(). (b) If the tank height is 2.5 m, will the tank overflow? (c) Based on your results for (b), what is the maximum flow change, umax, that can occur without the tank overflowing? (Hint: Consider the Principle of Superposition.)

Please solve all with all steps!!

Example 2: Draw the Bode plot of the unity feedback system with forward gain as G(s) = 40 (8+2)(8+5) Also determine the gain margin, phase margin and comment on the stability of the system.

) Develop a 1-dimensional nonlinear state space model of the system and iden- tify the process state. i) If v;, is considered the disturbance input and p, is the manipulated variable, Vin caleulate the linearized model ef the process. Assume nominal values of o5eP = 1 m /min and psoP =0,01 m* /(min k g/2). 6ant in

Q1/B) For the system showing below: 1- Find the response if the exciting function is a unit ramp? 2- Find the steady state error? R(s) + 1 2S+1 11 C(s)