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---
layout: post
title: "Real time Calculus functions"
---

# BasicCalculus
Simple library to _approximate 1-dimensional calculus operations_ in real time. It uses an _alpha-beta filter_ to __smoothen__ and numerically __differentiate__ a variable. The library can also __integrate__ the variable should one choose to. Note the library relies on polling to provide a continuously changing variable to refresh the calculus operations.

![image](http://hyperphysics.phy-astr.gsu.edu/hbase/Math/immath/derint.png)

# Other
For the sake of simplicity and to reduce memory use, the library uses micros() to update the timestep. This step is shared by all instances of alpha-beta filter.

# References:
- [Alpha-beta filter](https://en.wikipedia.org/wiki/Alpha_beta_filter)
- [Derivatives and Integrals](http://hyperphysics.phy-astr.gsu.edu/hbase/Math/derint.html)
- [Trapezoidal rule](https://en.wikipedia.org/wiki/Trapezoidal_rule)

# Code
https://github.com/RCmags/basicCalculus
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---
layout: post
title: "Detect the pulse width of signals with interrupts"
---

# PulseInput
This is a simple library for an interrupt based, non-blocking alternative to Arduino's [pulseIn](https://reference.arduino.cc/reference/cs/language/functions/advanced-io/pulsein/) function. Since it uses interrupts to measure signals, one can read multiple signals without fear of delays in the main loop.

# How it works
A pin change interrupt is used to detect when a signal is rising or falling, and the _on-time_ of the signal is measured in microseconds. As such, this library is only suited to decode PWM-like signals, where the time of the pulse-width (on-time) determines the value of the signal.

![image](diagram.png)

# Dependencies
This library depends on the [PinChangeInterrupt](https://github.com/NicoHood/PinChangeInterrupt) library, so it works with standard Arduinos (Uno, Nano, Mega, etc) and the digiSpark ATTinys boards. Please see the documentation of PinChangeInterrupt to see if your board is supported.

# Code
https://github.com/RCmags/pulseInput
138 changes: 138 additions & 0 deletions collections/travel/Brazil/_posts/2023-07-11-first-time-rio-3.md
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---
layout: post
title: "A closer look of downtown Rio de Janeiro and visiting Copacabana"

# image sliders:

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slider3:
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---

{% include image-slider.html list=page.slider1-1 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Downtown area with older-style government buildings</i></p>

{% include image-slider.html list=page.slider1-1b local='yes' aspect_ratio="16/9" %}
<p align="center"><i>More views of the highly decorated buildings</i></p>

{% include image-slider.html list=page.slider1-2 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Suddenly surrounded by high-rise buildings</i></p>

{% include image-slider.html list=page.slider1-3 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>The modern buildings have way to a mix of new and old, and some parks</i></p>

{% include image-slider.html list=page.slider1-4 local='yes' aspect_ratio="16/9" %}
<p align="center"><i></i>The streets became wider, with modern buildings surrounded by parks</p>

{% include image-slider.html list=page.slider1-5 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Well-kept antique buildings appeared once more</i></p>

{% include image-slider.html list=page.slider2 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Small and relaxing beach by the avenue heading towards Copacabana</i></p>

{% include image-slider.html list=page.slider2b local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Very tasty fried meatpies filled with ground beef</i></p>

{% include image-slider.html list=page.slider3 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Copacabana was not super-packed with tourists despite the renown. Felt very relaxed</i></p>
108 changes: 108 additions & 0 deletions collections/travel/Brazil/_posts/2023-07-12-first-time-rio-4.md
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---
layout: post
title: "More wandering about downtown Rio. A beautiful mix of modern and historic"

# image sliders:

slider1:
- url: /img/travel/brazil/rio-de-janeiro/day-4/img1.JPG
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- url: /img/travel/brazil/rio-de-janeiro/day-4/img53.JPG
---

{% include image-slider.html list=page.slider1 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We walked along the avenue with the bus station</i></p>

{% include image-slider.html list=page.slider2 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Along the way we found a modern light-weight train</i></p>

{% include image-slider.html list=page.slider3 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We encountered a dense commerial area with antique buildings</i></p>

{% include image-slider.html list=page.slider4 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>The train led us to a beautiful cathedral amongst modern buildings</i></p>

{% include image-slider.html list=page.slider5 local='yes' aspect_ratio="16/9" %}
<p align="center"><i></i>The avenue ended at a large park next to the sea</p>

{% include image-slider.html list=page.slider6 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We found a museum of the Brazilian navy</i></p>

{% include image-slider.html list=page.slider7 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>There we many modern buildings next to the park</i></p>

![image](/img/travel/brazil/rio-de-janeiro/day-4/img54.JPG)
<p align="center"><i>Statue of Joao IV of Brazil</i></p>
[Joao IV - King of Brazil](https://en.wikipedia.org/wiki/John_VI_of_Portugal#Controversies
)

{% include image-slider.html list=page.slider8 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We could see the beautiful bar from the park</i></p>

![image](https://www.viajenaviagem.com/wp-content/uploads/2016/01/museu-do-amanha-36.jpg)
[Museo do Amanha](https://museudoamanha.org.br/en)
62 changes: 62 additions & 0 deletions collections/travel/Brazil/_posts/2023-07-13-first-time-rio-5.md
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---
layout: post
title: "Visiting the Federal University of Rio de Janeiro"

# image sliders:

slider1:
- url: /img/travel/brazil/rio-de-janeiro/day-5/img1.JPG
- url: /img/travel/brazil/rio-de-janeiro/day-5/img2.JPG
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slider2:
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slider3:
- url: /img/travel/brazil/rio-de-janeiro/day-5/img14.JPG
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slider4:
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slider5:
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---

{% include image-slider.html list=page.slider1 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>The campus was very green and had a low-key vibe</i></p>

{% include image-slider.html list=page.slider2 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Test plaform of a magnetic levitation train built on campus</i></p>

{% include image-slider.html list=page.slider3 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We passed through the industrial side of Rio via a highway</i></p>

{% include image-slider.html list=page.slider4 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>We tried to go to a large ecological park near the beach</i></p>

{% include image-slider.html list=page.slider5 local='yes' aspect_ratio="16/9" %}
<p align="center"><i>Copacabana was very calm at sunset</i></p>
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