Consider a discrete time cosine wave x(n) with 200 samples as shown below: 8 6 2 0 -2 x(n) -4 0 20 20 40 60 80 100 120 140 160 180 200 sample index n This cosine wave x(n) contains the following frequency components. *(n) -2 20 60 100 120 140 160 180 200 1 -1 -3 0 20 40 80 80 40 *2(n) 100 sample index n *(n) 120 140 100 180 200 120 140 160 180 200 The waveform x(n) can be represented by using the Fourier series expansion: N/2 x(n) = A₁ + Σ Ak cos(2πfx + x) a) [15] List the values of Ak, fk and Ok for all k in the table below: Note: -πk ≤ πT k Ak ⠀ fk ΦΚ b) Suppose x(n) is passed through different LTI systems with different amplitude responses S(f) as shown: Note: f is the normalized frequency in cycles/samples.