Assume that you are given a periodic signal x (t) such that 1 x (t) =...

 

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Assume that you are given a periodic signal x₁ (t) such that 1 x₁ (t) = {0, 1<N<4 and x₂ (t) = x₂(t+4) for all t. x, (t) has Fourier series coefficients a a) If ag 1, find the value of A. b) Find the periodic signal x₂ (t) (with the same fundamental period as x, (t)) obtained using only the first three Fourier coefficients of x, (t) (i.c., using only a for lkl S 1). c) Find the periodic signal x, (t) (with the same fundamental period as x, (t) and x₂ (t)) obtained using only the first five Fourier coefficients of x, (t) (i.e., using only a, for lk| ≤ 2). Assume that you are given a periodic signal x₁ (t) such that 1 x₁ (t) = {0, 1<N<4 and x₂ (t) = x₂(t+4) for all t. x, (t) has Fourier series coefficients a a) If ag 1, find the value of A. b) Find the periodic signal x₂ (t) (with the same fundamental period as x, (t)) obtained using only the first three Fourier coefficients of x, (t) (i.c., using only a for lkl S 1). c) Find the periodic signal x, (t) (with the same fundamental period as x, (t) and x₂ (t)) obtained using only the first five Fourier coefficients of x, (t) (i.e., using only a, for lk| ≤ 2).