Question 1 : Signals :

Represent the following functions in terms of g(t)..

(Diagrams in comments)..

Question

Question 1 : Signals :

Represent the following functions in terms of g(t)..

(Diagrams in comments)..

anonymous · Answer

Plus, I am not good at drawing.. :)

amistre64 · Answer

signals, like heaviside functions

anonymous · Answer

|dw:1408644929638:dw|

anonymous · Answer

Sorry, you have to wait that long for this question..

anonymous · Answer

And WAIT, WAIT, WAIT, I have my answer with me..

I need your favor in checking that.. :)

anonymous · Answer

$$f(t)=\begin{cases}4&\text{for }0\le t<1\3&\text{for }1\le t<2\2&\text{for }2\le t<3\1&\text{for }3\le t<4&\text{or maybe }\le4\text{, doesn't seem to matter}\end{cases}$$
and
$$g(t)=\begin{cases}1&\text{for }-1\le t\le1\0&\text{otherwise}\end{cases}$$
Is this right?

anonymous · Answer

$$f(t) = g(\frac{1}{2}t - 1) + g(\frac{2}{3}t - 1) + g(t - 1) + g(2t - 1)$$

anonymous · Answer

Yes, and after 4 it is 0..

anonymous · Answer

I mean for $t > 4$, $f(t) = 0$..

amistre64 · Answer

hmm, well we can make an actual switch:

g(t) = -(t^2-1)/(2|t^2-1|)+1/2

anonymous · Answer

|dw:1408645621228:dw||dw:1408645637970:dw|
Seems like all you need is a few $g(2t-1)$ terms, each with a scalar and the appropriate shift.