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Finding the frequency components of a Qucs Output.

Fig 1: Initializing the Python Fourier Transform Program

Tonight’s post is again about the harmonic frequencies present in waveforms that are not simple sine waves. I needed a way to analyse the outputs of the circuits we were simulating in Qucs. To do that I had to create myself a tool. I wrote a

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Why both Sines and Cosines with the Fourier series?

Phase Shifting.

So far with the Fourier Series we have made some interesting waveforms but what happens in real life? Things are never as clean in real life as on paper. (Except maybe my smudged up papers.) If you think of a perfect square wave with an infinite number of odd harmonics, what would

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The Fourier Series — Part 1

A Fundamental and odd harmonics from 3 to 101

Tonight’s post is about adding multiple sine waves to create another waveform. Each of the sine waves is an positive integer (whole number) multiple of the frequency of the base sine wave. These additional frequencies are called harmonics of the the base frequency. The base

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A Plastic Barrel Pontoon Raft – Part 2

Breaking down the Problem into important areas.

This post and video is a continuation of the previous post. However, it is also much more. By calculating the lift of a partially submerged barrel we can estimate how high our raft will float in the water and how much we can load the raft. To

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Triangles, The Unit Circle and Radians

The Unit Circle andRadian Measurement of Angles

This is the last of the basic math posts for awhile. The next posts will be about creating a flotation platform that can be used as a raft or floating dock. We will be using much of this math. This one is based around a video like

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A Right Triangle and an Introduction to Trigonometry

Basic Trig Formulas

I have just created another video about some basic math. This one is about what is probably the most useful branch of mathematics for practical work, trigonometry. I am not going to bore you here with a repeat of what is in the video, but what I will do here is

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A Right Triangle and the Pythagorean Theorem

A Generalized Right Triangle

Tonight’s post is another one on the subject of simple but very very useful mathematics and geometry. The right triangle can seen almost everywhere in the man-made world. Almost everything is build with straight lines usually running horizontally and vertically. Together those would from rectangles, but a rectangle is inherently

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Cartesian Coordinates Part 2 – Moving from Pt. to Pt.

A Cartesian Vector

Being able to map points on a Cartesian Coordinate System is all well and good, but sooner or later we will need to know how to move from one point to another. This post is the first baby-step in that direction. A line pointing from one point to another is called

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The Cartesian Coordinate System Part 1

Points on a Catesian Coordinate

Today’s Post is in many ways a back-up and regroup post. I think this will be very easy for most people. However, I needed to build a good foundation of ideas before we proceed head-long into the complicated stuff where we have already been. Also, this is probably a

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Good ole boy Calculus

Our Car with no air friction

Sometimes I get stuck. I have turned this blog into somewhere between a technician type of discussion and full-blown engineering. Many very good technicians I know are very good a fundamental understanding and have almost a magical sense of understanding a problem. Those same guys give you a

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