Good morning,
I am working on a problem where I am finding the 4th Coefficient in a sample of 4 discrete time Fourier Series coefficients. I got the sum but now I have to solve for a_3 which consists of a real and imaginary part. Any assitance on how to solve for the a_3? Thank you.
a_k = {3, 1-2j, -1, ?}
Step 1: (1-2j)e^(j.5pin) +a_3 e ^ -(j.5pin) + 3 + (-1)^(n+1)
Step 2: [(1-2j)(cos (pi/2)n + j sin (pi/2)n) + a_3 (cos (pi/2)n)-j sin (pi/2)n]
I am working on a problem where I am finding the 4th Coefficient in a sample of 4 discrete time Fourier Series coefficients. I got the sum but now I have to solve for a_3 which consists of a real and imaginary part. Any assitance on how to solve for the a_3? Thank you.
a_k = {3, 1-2j, -1, ?}
Step 1: (1-2j)e^(j.5pin) +a_3 e ^ -(j.5pin) + 3 + (-1)^(n+1)
Step 2: [(1-2j)(cos (pi/2)n + j sin (pi/2)n) + a_3 (cos (pi/2)n)-j sin (pi/2)n]