What is the real part of the N point DFT XR(k) of a complex valued sequence x(n)?
Posted: Thu Jul 14, 2022 9:44 am
a) \(\sum_{n=0}^{N-1} [x_R (n) cos\frac{2πkn}{N} – x_I (n) sin\frac{2πkn}{N}]\)
b) \(\sum_{n=0}^{N-1} [x_R (n) sin\frac{2πkn}{N} + x_I (n) cos\frac{2πkn}{N}]\)
c) \(\sum_{n=0}^{N-1} [x_R (n) cos\frac{2πkn}{N} + x_I (n) sin\frac{2πkn}{N}]\)
d) None of the mentioned
b) \(\sum_{n=0}^{N-1} [x_R (n) sin\frac{2πkn}{N} + x_I (n) cos\frac{2πkn}{N}]\)
c) \(\sum_{n=0}^{N-1} [x_R (n) cos\frac{2πkn}{N} + x_I (n) sin\frac{2πkn}{N}]\)
d) None of the mentioned