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Overview and Introduction to the z-Transform (Polynomial & Rational Functions)

We introduce the z-transform bringing polynomials and rational functions to help analyze linear discrete-time systems. The discrete-time convolution (or FIR convolution) is equivalent to polynomial multiplication and algebraic operations in the z transform domain can be translated as combining or decomposing linear time-invariant (LTI) systems. The most common z-transforms are rational functions, that is, the [...] . . . → Read More: Overview and Introduction to the z-Transform (Polynomial & Rational Functions)

Matlab Example – Bode Plots of a Low Pass Filter (Part 2)

The Matlab tutorial article continues with providing an example of a low pass filter (LPF) to graph its bode plot in Matlab. The low pass filter was implemented using a simple RC-circuit. To review, bode plots are basically logarithmic graphs of a linear time-invariant system as a function of frequency. Bode plots are useful tools [...] . . . → Read More: Matlab Example – Bode Plots of a Low Pass Filter (Part 2)

Simulink / Matlab Tutorial and Example – Low Pass Filter (Part 1)

The Matlab tutorial provides a quick introduction describing a low pass filter (LPF). A LPF passes low frequency signals while attenuating the amplitude of signals with higher frequencies at a frequency called the cutoff frequency. The cutoff frequency determines when frequencies of the input signal passes through the filter unattenuated and what signal frequencies gets [...] . . . → Read More: Simulink / Matlab Tutorial and Example – Low Pass Filter (Part 1)

Laplace Transform Video Tutorial and Inverse Laplace Transform Tutorial – Part 1

Here is one of my early videos I did using Camtasia discussing the topic about Laplace Transforms. I planned to redo this video in a future post. An important concept in engineering concerns the Laplace Transform. Applying this important concept in electrical engineering, the Laplace Transform takes a function described in the time domain and [...] . . . → Read More: Laplace Transform Video Tutorial and Inverse Laplace Transform Tutorial – Part 1

Matlab Examples: Review of Discrete Convolution Sum Using Matlab

Here is a review of the discrete convolution sum including several examples using Matlab. The convolution concept is very important in the area of digital signal processing with applications to communications and control systems. You can also view the discrete convolution sum as a multiplication of two polynomials (e.g. z-transform) Some of the links in [...] . . . → Read More: Matlab Examples: Review of Discrete Convolution Sum Using Matlab