(1) [10 points] Figure 1 is the illustration of the Square wave in the time domain. The mathe- matical representation is

[answerhappygod]

1 10 Points Figure 1 Is The Illustration Of The Square Wave In The Time Domain The Mathe Matical Representation Is 1 (41.04 KiB) Viewed 23 times

(1) [10 points] Figure 1 is the illustration of the Square wave in the time domain. The mathe- matical representation is as x(t) = = 1, where NT ≤t≤NTO +T₁. Ne {0, 11, 12, 13,... } 0, where NTo + T₁ < t < (N+1)To, Ne {0, 11, 12, 13,...} x(1) -T₁+T₁ T₁ Fig. 1: Square wave in the time domain (a) Let us fix T₁ to be T₁ = 0.1. Mathematically derive Fourier Series coefficients and the associated Fourier Series expressions for each case of To= 0.2, T₁ = 0.4, and To T₁ = 0.1. [5 points] (b) Draw the magnitude plot of the spectrum in the frequency domain for each case of To = 0.2, To= 0.4, and To = T₁ = 0.1. (T₁ is fixed as T₁ = 0.1 in any case.) [5 points]