Question
Help is appreciated
In a later chapter, it is useful to find the Fourier coefficients of sums of sinusoids by inspection. This involves first finding the fundamental period p of the sum, or equivalently finding the fundamental w0. For example, suppose that some radian frequency is such that w = 3w0. The sine or cosine at this frequency is then associated with index n = 3 in the Fourier series summation. Find the first 7 Fourier coefficients {a0,al,b1,a2,b2,a3,b3} off(x) =14 - cos (pi x / 10) + 3sin(pix / 10) + 0.5 cos(pix / 5) + 5sin(3pix / 10) by inspection. Note that some will be zero. (Hint: omega 0 = 0.1 pi )|
Explanation / Answer
a0 = 14, a1 =-1, a2=0.5, a3 =0, b1= 3, b2 = 0, b3 = 5
