Using the given information please solve parts a, b, and c. Include all your work and also the Matlab code.

The information that is given, please use Matlab to solve

Parts A, B , C

A hard limiter is a device whose output is the sign of the incoming signal as a function of time. Specifically, when the input signal r(t) is positive, the output signal y(t) is equal to 1, and when r(t) is negative, y(t) equals 01. In this exercise, you will consider passing the signal r(t) = cos(2t) through a hard limiter to produce y(t). (a) (b) Sketch the output of the hard limiter, y(t), by hand. Specify its period and fundamental frequency. Compute the Fourier series coefficients, Ck, analytically for y(t). See lecture notes from October 12th for a similar example. The energy in the first fundamental frequency of a periodic signal can be defined as C12 +\C_11?. Calculate the energy in the first fundamental frequency for both the output y(t) and the input r(t). Is there an energy gain or loss? Can you account for the energy change? Note: You can do this by hand. (C) A hard limiter is a device whose output is the sign of the incoming signal as a function of time. Specifically, when the input signal r(t) is positive, the output signal y(t) is equal to 1, and when r(t) is negative, y(t) equals 01. In this exercise, you will consider passing the signal r(t) = cos(2t) through a hard limiter to produce y(t). (a) (b) Sketch the output of the hard limiter, y(t), by hand. Specify its period and fundamental frequency. Compute the Fourier series coefficients, Ck, analytically for y(t). See lecture notes from October 12th for a similar example. The energy in the first fundamental frequency of a periodic signal can be defined as C12 +\C_11?. Calculate the energy in the first fundamental frequency for both the output y(t) and the input r(t). Is there an energy gain or loss? Can you account for the energy change? Note: You can do this by hand. (C)