Examples of Differential Equations Spring-mass systems Population increase in bacteria Lotke-Volterra Logistics equation Planetary Orbits Rocket Equation Electric motor Car power equation Military encounter Lorenz…

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In this section, we will only be interestd in LTI difference equations and ignore the more general cases. Definition: Define the operator $\Delta$ as \begin{eqnarray}…

Comments closedScalar LTI differential equations are not the most general case. The most general case are the coupled LTI differential equations. Below is the three equations…

Comments closedLoosely expressed, the basic premiss of the classical western science goes as follows: “…..Science is a set of laws which tells you how your system…

Comments closedIn this chapter, we will do for interrupts what we have done for polling in a previous chapter. Namely, we will write a SystemVerilog module…

Comments closedVariational autoencoders are unsupervised generative models. By “unsupervised”, we mean that they train with unlabeled data. By generative, we mean that the variational autoencoders are…

Comments closedLet us remember the basic setup of the probability theory: “…….A random experiment is an action for which all possible outcomes can be listed, but…

Comments closedTime and frequency considerations It is impossible to read a continuous signal into a computer. Hence, reading a continuous signal always involves some sort of…

Comments closedCompression property of fourier transformation and bandwidth of a signal. When we record a speech signal $x(t)$ for 10 minutes, the intensity of the speech…

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