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Electronics and Communication Communication Systems Difficulty: Medium

Harmonic distortion analyzer A uniformly distributed random variable X with probability density function $${f_x}\left( x \right) = \frac{1}{{10}}\left( {u\left( {x + 5} \right) - u\left( {x - 5} \right)} \right)$$ Where u(⋅) is the unit step function is passed through a transformation given in the figure below. The probability density function of the transformed random variable Y would be If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used. The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion $$x\left( t \right) = 5{\left( {\frac{{\sin 2\pi 1000t}}{{\pi t}}} \right)^3} + 7{\left( {\frac{{\sin 2\pi 1000t}}{{\pi t}}} \right)^2}$$ would be In a closed loop system for which the output is the speed of a motor, the output rate control can be used to: