Sketching x(t)=1+δ(t-2)+δ(t+2)+δ(5)

[Pete_01]

Homework Statement

The problem is to sketch the signal over time:
x(t)=1+δ(t-2)+δ(t+2)+δ(5)

Homework Equations

N/A

The Attempt at a Solution

I'm not too sure how to begin this. Would it look like a square wave with different "peaks" over time?

 

[lanedance]

it would look like a constant value with a few peaks

however $\delta (5)$ doesn't make sense, it should be a function of t

 

[Pete_01]

it would look like a constant value with a few peaks

however $\delta (5)$ doesn't make sense, it should be a function of t

well wouldn't that be just a constant value of 5 added across the whole signal?

 

[lanedance]

don't think so, the delta function $\delta (t)$ is zero everywhere except at t=0, hence why it doesn't make much sense

 

[Pete_01]

don't think so, the delta function $\delta (t)$ is zero everywhere except at t=0, hence why it doesn't make much sense

I check it again, I did write it correctly. So assuming that's right, would it be a linear looking like increasing as time increased?

 

[lanedance]

well as I said it doesn't make sense, but if you have to work with it, I think delta(5) = 0