Question

Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the objective is to create a set of functions that will enable us to do the following 1. Evaluate the Fourier Series coefficients for the following periodic signal which is defined over one period to be rt)240sin (100nt) for 0ts 1/100 (6) The period is 1/100 seconds. This signal is called a full-wave rectified sinusoid, because it contains only the positive lobe of the sinusoidal fiunction. Such signals and their Fourier Series are often used in DC power supply design. 6 2. Synthesize approximations to x(t) using a finite number of Fourier Series coefficients {a} N(t) aeH2/Tb)kt k-N where 2N+1 is the number of terms used to form the signal and To is the period. Write down the Fourier Series integral that must be evaluated for the ar(t) given in Eq. (6). It is relatively easy to evaluate this integral using the techniques of calculus (required in Section 4.4), but first we are going to "do" this integral numerically using MATLAB.