# Express signal in terms of ramp, exponential, and parabolic functions

1. Aug 6, 2014

### Color_of_Cyan

1. The problem statement, all variables and given/known data

Express the following signal in terms of ramp, exponential, and parabolic functions, where t should be consistently shifted

2. Relevant equations

signal simplification techniques, not known to me

3. The attempt at a solution

It seems you can express this in terms of step functions too, but not sure.

x(t) = -4(t + 4)

x(t) = -4r(t - 1)

I know you were supposed to have a ramp function here though.

2. Aug 7, 2014

### Staff: Mentor

What's "the following signal"?

The 2 equations you wrote look like ramps to me...

3. Aug 7, 2014

### Color_of_Cyan

Ugh how did I miss that..

1. The problem statement, all variables and given/known data

Express the following signal in terms of ramp, exponential, and parabolic functions, where t should be consistently shifted

x(t) = -4(t + 4)u(t - 1)

4. Aug 7, 2014

### Staff: Mentor

Is u(t) defined somewhere?

5. Aug 7, 2014

### Color_of_Cyan

In this problem, I'm not sure. Do you mean the definition of it? It is the integral of the impulse function but not sure how to apply that here.

6. Aug 7, 2014

### Staff: Mentor

Oh, the unit step function. Okay, I get it.

So can you sketch that function okay? It still looks like a ramp function to me then, starting at a particular time t, with a slope and offset. Do you know what the term "consistently shifted" means in the context of this question? I'm not familiar with that terminology.

7. Aug 8, 2014

### Color_of_Cyan

You're supposed to change it so that you have "+ 1 " or "-1" somewhere in there that's all I know