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

[Color_of_Cyan]

Homework Statement

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

Homework Equations

signal simplification techniques, not known to me

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.

 

[berkeman]

Homework Statement

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

Homework Equations

signal simplification techniques, not known to me

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.

What's "the following signal"?

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

 

[Color_of_Cyan]

Ugh how did I miss that..

Homework Statement

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)

 

[berkeman]

Is u(t) defined somewhere?

 

[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.

 

[berkeman]

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.

 

[Color_of_Cyan]

Do you know what the term "consistently shifted" means in the context of this question? I'm not familiar with that terminology.

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