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Elliptic Curve Cryptography - Multiple Signatures

Mike November 19, 2023

The use of point pairing becomes very useful when many people are required to sign one document. This is typical in a contract situation when several people are agreeing to a set of requirements. If we used the method described in the blog on signatures, each person would sign the document, and then the verification process would require checking every single signature. By using pairings, only one check needs to be performed. The only requirement is the ability to verify the...


Lightweight C++ Error-Codes Handling

Massimiliano Pagani November 16, 20232 comments

The traditional C++ approach to error handling tends to distinguish the happy path from the unhappy path. This makes handling errors hard (or at least boring) to write and hard to read. In this post, I present a technique based on chaining operations that merges the happy and the unhappy paths. Thanks to C++ template and inlining the proposed technique is lightweight and can be used proficiently for embedded software.


Flood Fill, or: The Joy of Resource Constraints

Ido Gendel November 13, 2023

When transferred from the PC world to a microcontroller, a famous, tried-and-true graphics algorithm is no longer viable. The challenge of creating an alternative under severe resource constraints is an intriguing puzzle, the kind that keeps embedded development fun and interesting.


Embedded Systems Roadmaps

Nathan Jones November 9, 2023

What skills should every embedded systems engineer have? What should you study next to improve yourself as an embedded systems engineer? In this article I'll share with you a few lists from well-respected sources that seek to answer these questions, with the hope of helping provide you a path to mastery. Whether you've only just finished your first Arduino project or you've been building embedded systems for decades, I believe there's something in here for everyone to help improve themselves as embedded systems engineers.


Embedded Systems Co-design for Object Recognition: A Synergistic Approach

Charu Pande November 4, 2023

Embedded systems co-design for object recognition is essential for real-time image analysis and environmental sensing across various sectors. This methodology harmonizes hardware and software to optimize efficiency and performance. It relies on hardware accelerators, customized neural network architectures, memory hierarchy optimization, and power management to achieve benefits like enhanced performance, lower latency, energy efficiency, real-time responsiveness, and resource optimization. While challenges exist, co-designed systems find applications in consumer electronics, smart cameras, industrial automation, healthcare, and autonomous vehicles, revolutionizing these industries. As technology advances, co-design will continue to shape the future of intelligent embedded systems, making the world safer and more efficient.


What is Pulse Width Modulation and How Does It Work?

Lance Harvie November 2, 2023

Pulse Width Modulation (PWM) is a technique used to control the average voltage supplied to a device or component by adjusting the width of a series of pulses. It works by rapidly turning a signal on and off at a specific frequency. The crucial element of PWM is the duty cycle, which represents the percentage of time the signal is “on” (high voltage) compared to the total time of one cycle.


Getting Started With Zephyr: Saving Data To Files

Mohammed Billoo October 31, 20231 comment

In this blog post, I show how to implement a Zephyr application to mount a microSD card, create a new file on the microSD card, and write data to it. The lessons learned from such an application can be helpful for devices out in the field that need to write data to off-board memory periodically, especially in cases where Internet access may be sporadic.


Elliptic Curve Cryptography - Extension Fields

Mike October 29, 2023

An introduction to the pairing of points on elliptic curves. Point pairing normally requires curves over an extension field because the structure of an elliptic curve has two independent sets of points if it is large enough. The rules of pairings are described in a general way to show they can be useful for verification purposes.


Software is free and can right any wrong

Colin Walls October 26, 2023

Software changes are so much easier than hardware modifications, so the temptation is always to take this approach to fixing bugs. This may not always be a good idea.


Modern C++ in embedded development: Static Classes

Amar Mahmutbegovic October 25, 20232 comments

There is a concept of static class in C#. It is a class that contains only static members and methods, and it can’t be instantiated. In C#, a static class is declared using the static keyword. 

Static classes are used to group functions that belong to the same logical unit or software module and that may have a shared state (member variables). 

Static class in C++

The concept of a static class can be implemented in C++ as a class with all static methods and members and by deleting...


Second-Order Systems, Part I: Boing!!

Jason Sachs October 29, 20142 comments

I’ve already written about the unexciting (but useful) 1st-order system, and about slew-rate limiting. So now it’s time to cover second-order systems.

The most common second-order systems are RLC circuits and spring-mass-damper systems.

Spring-mass-damper systems are fairly common; you’ve seen these before, whether you realize it or not. One household example of these is the spring doorstop (BOING!!):

(For what it’s worth: the spring...


Ten Little Algorithms, Part 5: Quadratic Extremum Interpolation and Chandrupatla's Method

Jason Sachs November 11, 20159 comments

Today we will be drifting back into the topic of numerical methods, and look at an algorithm that takes in a series of discretely-sampled data points, and estimates the maximum value of the waveform they were sampled from.


From bare-metal to RTOS: 5 Reasons to use an RTOS

Jacob Beningo October 18, 20167 comments

Developers can come up with amazing and convoluted reasons to not use an RTOS. I have heard excuses ranging from they are too expensive (despite open source solutions) all the way to they aren’t efficient and use too much memory. In some circumstances some excuses are justified but there are many reasons why a developer should look to an RTOS to help with their real-time scheduling needs.

From bare-metal to RTOS Quick Links
  • Part 1: 

C Programming Techniques: Function Call Inlining

Fabien Le Mentec April 29, 20137 comments
Introduction

Abstraction is a key to manage software systems as they increase in size and complexity. As shown in a previous post, abstraction requires a developper to clearly define a software interface for both data and functions, and eventually hide the underlying implementation.When using the C language, the interface is often exposed in a header '.h' file, while the implementation is put in one or more  corresponding '.c' files.

First, separating an interface from its...


C to C++: Using Abstract Interfaces to Create Hardware Abstraction Layers (HAL)

Jacob Beningo September 21, 20235 comments

In C to C++, we've been exploring how to transition from a C developer to a C++ developer when working in embedded system. In this post, we will explore how to leverage classes to create hardware abstraction layers (HAL). You'll learn about the various inheritance mechanisms, what an virtual function is, and how to create an abstract class.


The Other Kind of Bypass Capacitor

Jason Sachs January 3, 20173 comments

There’s a type of bypass capacitor I’d like to talk about today.

It’s not the usual power supply bypass capacitor, aka decoupling capacitor, which is used to provide local charge storage to an integrated circuit, so that the high-frequency supply currents to the IC can bypass (hence the name) all the series resistance and inductance from the power supply. This reduces the noise on a DC voltage supply. I’ve...


Another 10 Circuit Components You Should Know

Jason Sachs October 30, 20131 comment

It's that time again to review all the oddball goodies available in electronic components. These are things you should have in your bag of tricks when you need to design a circuit board. If you read my previous posts and were looking forward to more, this article's for you!

1. Bus switches

I can't believe I haven't mentioned bus switches before. What is a bus switch?

There are lots of different options for switches:

  • mechanical switch / relay: All purpose, two...

Review: Embedded Software Design: A Practical Approach to Architecture, Processes, and Coding Techniques

Steve Branam February 28, 2023
Introduction

Full disclosure: I was given a copy of this book to review.

Embedded Software Design: A Practical Approach to Architecture, Processes, and Coding Techniques, by Jacob Beningo, is an excellent introduction to strategies for embedded systems design and bringing those designs to fruition. Renowned embedded systems expert Jack Ganssle was the technical reviewer.

This is a practical how-to book on the modern professional practice of embedded systems...


Cortex-M Exception Handling (Part 2)

Ivan Cibrario Bertolotti February 1, 20169 comments

The first part of this article described the conditions for an exception request to be accepted by a Cortex-M processor, mainly concerning the relationship of its priority with respect to the current execution priority. This part will describe instead what happens after an exception request is accepted and becomes active.

PROCESSOR OPERATION AND PRIVILEGE MODE

Before discussing in detail the sequence of actions that occurs within the processor after an exception request...


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