If x(n) is a complex valued sequence given by x(n)=xR(n)+jxI(n), then what is the DFT of xR(n)?
Posted: Thu Jul 14, 2022 9:44 am
a) \(\sum_{n=0}^N x_R (n) cos\frac{2πkn}{N}+x_I (n) sin\frac{2πkn}{N}\)
b) \(\sum_{n=0}^N x_R (n) cos\frac{2πkn}{N}-x_I (n) sin\frac{2πkn}{N}\)
c) \(\sum_{n=0}^{N-1} x_R (n) cos\frac{2πkn}{N}-x_I (n) sin\frac{2πkn}{N}\)
d) \(\sum_{n=0}^{N-1} x_R (n) cos\frac{2πkn}{N}+x_I (n) sin\frac{2πkn}{N}\)
b) \(\sum_{n=0}^N x_R (n) cos\frac{2πkn}{N}-x_I (n) sin\frac{2πkn}{N}\)
c) \(\sum_{n=0}^{N-1} x_R (n) cos\frac{2πkn}{N}-x_I (n) sin\frac{2πkn}{N}\)
d) \(\sum_{n=0}^{N-1} x_R (n) cos\frac{2πkn}{N}+x_I (n) sin\frac{2πkn}{N}\)