# Search results

1. ### How to distinguish between linear and non-linear circuits?

IIRC, 2 things for certain can classify circuits as non-linear: 1. Non linear elements such as diodes. 2. Changing frequency of sources or input waveforms. Mathematically, a linear circuit will obey the superposition principle with regards to signals across the output.
2. ### Semigroup property for convolution

I submitted both the approaches, one with the incorrect fourier transform and the other with the convolution integral. The convolution integral, reduced using partial fraction decomposition or the residue theorem (neither of which I was able to produce as a solution) reduces it to the form...

6. ### Semigroup property for convolution

Summary: Show that for this family of functions the following semigroup property with respect to convolution holds. Hi. My task is to prove that for the family of functions defined as: $$f_{a}(x) = \frac{1}{a \pi} \cdot \frac{1}{1 + \frac{x^{2}}{a^{2}} }$$ The following semigroup property...
7. ### MATLAB Bilinear spline interpolation MATLAB using MESHGRID and SURF

My apologies, $$u_{i , j}$$ Is the matrix, whereas $$\Omega$$ I sismply the cartesian product as the professor has given above. I must say I am very grateful for the time you took to actually write the code, thank you. I will check the details and post the results in a few hours as I am at...
8. ### MATLAB Bilinear spline interpolation MATLAB using MESHGRID and SURF

Hello. So, I must provide a solution for an image processing course I am taking (implemented in MATLAB). The task is as follows: 1. I must provide a MATLAB script that takes in a DISCRETE N x N matrix (Greyscale picture) and does Bilinear spline interpolation on it. This is the spline...

13. ### I Fourier series representation

Hi Check the dirichlet conditions Any function that satisfies these, has a fourier series rep.
14. ### Fourier Series = Re(Power Series)

Hi Joe 1. There exist algebraic methods for DC (constant ) and sinusoidal functions (sinusoidal steady state analysis) in circuits, to find voltage and current and power. There does not exist any algebraic method for non sinusoidal, non DC functions, like triangles, square waves, bipolar...

28. ### Deriving the impedance equation of reactive passive components

Hi Tim. I am sorry if I caused any confusion, I know it is not easy if you have been out of it for some time. if you simply divide that complex number by the complex number for current, you would get the impedence of the inductor, as we derived the current using the impedence voltage divider...