# Questions tagged [convolution]

Anything related to convolution, its properties and applications. Convolution is the mathematical operation which is used to model the time-domain I/O relationship of linear time-invariant initially-at-rest systems.

69 questions
Filter by
Sorted by
Tagged with
32 views

### Convolution with scalar value

What would be the convolution of u(t) with (-1+2u(t))?mainly what I want to know is how the scalar part should be dealt in convolution?
30 views

### Convolution of unit step function with the mirror image of unit step function

What will be the convolution of u(t) with u(-t) using convolution integral? I am confused about the limits of the integration.
30 views

### Unilateral laplace transform of rect(t/2)

What would be the unilateral laplace transform of rect(t/2)? We know that rect(t/2) can be written as u(t+1)-u(t-1).So what would be its unilateral laplace transform? Should it be (exp(s)/s)-(exp(-s)/...
57 views

### Integration of signal [closed]

How can I solve this integral? I know this integral is equivalent to convolution with u(t). Hence the convolution of u(t) with u(t) is r(t) or ramp function. But what would be the convolution of u(...
28 views

### related to convolution drawing of signals and systems

I can draw the graph in unit digits, but I have no idea how to draw the function 3π(t-3/2) below it. I wonder how can we plot this?
64 views

• 4,001
146 views

### How do I find the impulse response of the system given output and input signals?

I stumbled upon this question as I was solving my homework. There is an input signal x(t). and y(t) as an output signal. My idea was to find the function of y(t) in terms of step function and then ...
• 149
72 views

### What is the convolution of an antipodal (that is alternating 1 and 0) pulse train with rectangular pulse of duration T in the time domain?

What is the convolution of an antipodal (that is alternating 1 and -1) pulse train with a rectangular pulse of duration T in the time domain? I am having trouble picturing this.
• 159
2k views

### Convolution of positive and negative functions?

I am trying to do convolution for the function below The correct solution is as follows: I tried solving the problem, below is my attempt: Can you please advise me where is my mistake?
• 883
77 views

• 189
42 views

### Invertiblity of LTI System

Can any one please explain me how the convolution of the following leads to delta(t). To convolve these to function i considered delta(t+T) as x(t) and delta(t-T) as the response. Then these two ...
I am having trouble understanding the concept of convolution. I get the mathematical idea behind it. I am able to evaluate that the convolution of the following problem is f*g(t) = {0,\ \ t <= -...