Question

Can someone explain each part of this solution I don’t understand

Example 1 square wave Derive the Fourier series (FS) representation of a square wave of period T with duty cycle τ-AT, where 0< B<1. The square wave is symmetrically defined over one period by a Heaviside unit-step function, as in Eq. (28) It! <汁 (77) The ordinary unit-step could also be used, but the Heaviside is more natural here because the FS representation will pass through the 1/2 point discontinuity at the edges. Also, by applying the Parseval identity (13), show the infinite series summation results, k2 odd Solutiorn The FS coefficients are calculated from Eq. (2), for - <k < oo, T/2 (78) T/2 T/2 The integral can be done easily using the symbolic toolbox. syms t syms b T positive; syms k integer WO 2 pi/T c = simplify(int(expC-j*ktnO*t), t, -b*T/2, b*T/2) / T); Since ck are real and Co-, the representation (7) becomes, 2 sin (TTBk) The finite-term representation is obtained by cos(kwot)

Answer 1