Sampled complex exponentials
c
·
e
u
[n] = |c| e
jφ
· exp( j 2π u n / M ), n = 0 … M−1, u = 0 … M−1
M
4
6
8
12
16
u
1
M−u
7
Show partner M−u
View
3D
Real part
Imag part
Complex plane
Coefficient c
|c|
1.00
φ
0°
c =
1.00
Show sum c·e
u
+ c*·e
M−u
Reset c
u = 1
M−u = 7
sum (always real at the samples)
Drag to rotate
Conjugate pair
n
u = 1
M−u = 7
Sum
Re
Im
Re
Im