Hi
The fundamental period of a composite signal can be found by LCM(individual time periods of the components of signal)...
If I have a cubed signal like sin^3(2t)
using this concept I use trigonometric identity (sin^3(X) = (3/4)sinX - (1/4)sin(3X) ) to convert the signal into summation and then apply the same rule of LCM .
(3/4) sin(2t)-(1/4)(sin(6t))
T1=2pi/2 = pi
T2= 2pi/6 = pi/3
LCM(pi,pi/3) = pi
T= pi sec
But the answer to this question is (1/pi) sec...
How can we find the fundamental period of this signal ??
(This question is from the book signals and systems by Simon Haykin(page#22, Pb 1.5(b)))
The fundamental period of a composite signal can be found by LCM(individual time periods of the components of signal)...
If I have a cubed signal like sin^3(2t)
using this concept I use trigonometric identity (sin^3(X) = (3/4)sinX - (1/4)sin(3X) ) to convert the signal into summation and then apply the same rule of LCM .
(3/4) sin(2t)-(1/4)(sin(6t))
T1=2pi/2 = pi
T2= 2pi/6 = pi/3
LCM(pi,pi/3) = pi
T= pi sec
But the answer to this question is (1/pi) sec...
How can we find the fundamental period of this signal ??
(This question is from the book signals and systems by Simon Haykin(page#22, Pb 1.5(b)))