# Questions tagged [laplace-transform]

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### Optimal FWHM for Difference of Gaussians edge detection

When we apply a Gaussian blur to a a dataset, we set the FWHM to optimally detect specific frequencies. For example, the human cortex is around 2.5mm thick, so a blur with 2.5mm FWHM is nicely tuned ...
148 views

### Can we tell if a system is linear and time-invariant from its frequency response?

Given a system with a known frequency response in the S-domain. Is there a way to find whether the system is linear and time invariant? My current understanding is that we need to take the inverse ...
48 views

### How to get state-space equations form from a block diagram?

This is the block diagram that I'd like to transform into a state-space representation, where u1 and u2 are inputs and y1 and y2 are the outputs of the system I tried to place state variables on the ...
32 views

### Mixed - Discrete and Continuous system Laplace domain stability - Effect of Sampler and DAC

I have a system whose the plant transfer function is continuous and the compensation is discrete. I have an ADC which allows to measure the output of the system and a DAC which allows to control the ...
71 views

### Find $A$ and $G$ value to satisfy the requirement

Given a disturbance reduction system Create a system that will reduce $U(s)$ noise to $100$ times its value. Find the A and G gain value to satisfy the requirement My attempt: I've analyzed the ...
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### Laplace transform plot isn't right

I'm trying to plot the Laplace transform of a function. Here's my MatLab script ...
29 views

### Why RHP zero phase is not 180° to 90°

The asymptotic phase behavior of an RHP zero is from 0 degrees to -90°, the mirror of an LHP zero. Graphically, I'm confused about why this is the case and the phase is not from +180° to +90°. See the ...