Re: Signals
Note that by looking at the signal itself we can find the even and odd parts of it.
For example
(ii)
\[x(t)=1+t+t^3+t^5\]. In this except \[1\], which is even function, the remaining part \[t+t^3+t^5\] is odd function.
(iii) Same is the case for this too. Note that except
\[1\], which is even function, the remaining part \[\sin(t)+t \cos(t)+t^2 \sin(t)\cos(t)\] is odd function.
(i) For this type of functions we have to evaluate the formulas:
\[x_e(t)=\frac{x(t)+x(-t)}{2}\] and
\[x_o(t)=\frac{x(t)-x(-t)}{2}\].
For problems(ii) and (iii) even after applying these results, we get the same answers. The answers we get above is by inspection.
thnx
purna!