12 Biomedical Engineering Fundamentals
561
Fig. 12.17 Even signal (Gaussian window)
Fig. 12.18 Odd sinusoidal signal
x(t) = x (−t)
(12.4)
On the other hand, odd signals satisfy the following condition:
x(t) = −x (−t)
(12.5)
Figures 12.17 and 12.18 represent the even and odd signals, respectively.
It should be noted that any signal x(t) can be represented in terms of even signal
and odd signal.
x even (t) =
x(t) + x (−t)
2
(12.6)
561
Fig. 12.17 Even signal (Gaussian window)
Fig. 12.18 Odd sinusoidal signal
x(t) = x (−t)
(12.4)
On the other hand, odd signals satisfy the following condition:
x(t) = −x (−t)
(12.5)
Figures 12.17 and 12.18 represent the even and odd signals, respectively.
It should be noted that any signal x(t) can be represented in terms of even signal
and odd signal.
x even (t) =
x(t) + x (−t)
2
(12.6)
