Linear Feedback Shift Registers for the Uninitiated, Part XIII: System Identification
Jason Sachs shows how the output of a linear feedback shift register can be used for active system identification, not just spread-spectrum testing. The article compares traditional sine-wave probing with LFSR-based PRBS methods, demonstrates a worked Ra-Rb-C example, and unpacks practical issues such as reflected pseudonoise, ADC quantization, sample counts, and noise-shaping tricks to improve estimates.
Circuit Board Standoffs
Can't find the exact standoff size for your PCB? This post shows how to fabricate custom standoffs from tubing or solid rod, with practical guidance on material choices, measurement, cutting, lathe facing, and drilling and tapping. The walkthrough uses brass as an accessible option, lists the correct drill size for 4-40 screws, and explains how to create chassis threads if needed.
Is it a Bug or an Error?
The famous moth-in-the-relay story helped 'bug' and 'debugging' become everyday terms, but this piece questions whether that cozy label softens accountability. It argues software failures usually come from human mistakes in requirements or implementation, not literal insects, and asks whether using words like 'error' or 'mistake' would push engineers to treat safety and reliability more seriously. Join the conversation.
A Wish for Things That Work
Jason Sachs revisits his long-running gripe with poor user interfaces, cataloguing annoyances from his Toyota Prius dashboard to desktop apps and browsers. He mixes sharp, real-world examples with a short, practical wishlist for 2018 aimed at making embedded displays, update behavior, security cues, and developer tools noticeably less frustrating for engineers and end users alike.
Linear Feedback Shift Registers for the Uninitiated, Part XII: Spread-Spectrum Fundamentals
Jason Sachs shows why LFSR-generated pseudonoise is a natural fit for direct-sequence spread spectrum, then walks through Fourier basics, spectral plots, and runnable Python examples. The article demonstrates how DSSS multiplies a UART bitstream with a chipping sequence to spread energy, how despreading concentrates the desired signal while scrambling narrowband interference, and how multiple transmitters can share bandwidth when using uncorrelated sequences.
Linear Feedback Shift Registers for the Uninitiated, Part XI: Pseudorandom Number Generation
Jason Sachs breaks down when linear feedback shift registers make good pseudorandom sources and when they fail. He shows why LFSR output bits look very different from full-state integer samples, explains their two-valued autocorrelation and quasi-random behavior, and gives practical guidance on when an LFSR is acceptable for fast hardware bit generation and when you should use a proper PRNG instead.
Linear Feedback Shift Registers for the Uninitiated, Part X: Counters and Encoders
Jason Sachs shows how linear feedback shift registers can be practical counters and compact absolute encoders, and why the choice of polynomial matters. He explains using primitive and reducible polynomials to get long but decode-friendly periods, demonstrates a 48-bit example, and lays out a De Bruijn chain-code encoder that turns an extra track into quick absolute resynchronization. Read to learn implementation tradeoffs and decoding strategies.
Linear Feedback Shift Registers for the Uninitiated, Part IX: Decimation, Trace Parity, and Cyclotomic Cosets
Taking every jth bit of a maximal-length LFSR uncovers a surprising algebraic structure. Jason Sachs walks through cyclotomic cosets, shows why decimation by powers of two preserves minimal polynomials, and connects LFSR output to trace parity and simple bitmask parity computations. The article uses hands-on Python with libgf2, Berlekamp-Massey, and state recovery so you can reproduce and automate these analyses.
Linear Feedback Shift Registers for the Uninitiated, Part VIII: Matrix Methods and State Recovery
Matrix methods for LFSRs look intimidating, but Jason Sachs walks through companion-matrix representations and shows why they matter for time shifts and state recovery. He derives lookahead masks from powers of the companion matrix, then translates those matrix insights into efficient bitwise and finite-field algorithms. The article includes two simple state-recovery methods and working Python/libgf2 examples you can run and adapt.
Obsolete? Yes. Still in use? Yes. How do you use it? Ummm...
Old technology refuses to die, and sometimes you must keep it running. This post looks at real-world examples from Voyager needing FORTRAN support to nuclear subs and hospitals still on Windows XP, and argues for practical preservation steps: digitize datasheets and manuals, back them up locally, document code thoroughly, and cross-train personnel. It explains why upgrades help, but why archives and training matter more for unreachable systems.
3 Overlooked Embedded Software Elements
Jacob Beningo points out three often-overlooked elements that can make embedded projects less painful and faster to ship. He highlights model-generated code for off-target iteration, configuration-generated code to manage SKUs and avoid fragile conditional compilation, and automated test harnesses to catch regressions early. The post gives practical reasons to consider each approach and how they fit into modern embedded DevOps.
When a Mongoose met a MicroPython, part I
This is more a framework than an actual application, with it you can integrate MicroPython and Cesanta's Mongoose.
Mongoose runs when called by MicroPython and is able to run Python functions as callbacks for the events you decide in your event handler. The code is completely written in C, except for the example Python callback functions, of course. To try it, you can just build this example on a Linux machine, and, with just a small tweak, you can also run it on any ESP32 board.
My TDD Journey Started Dec 6, 1999
My story of learning Test-Driven Development started 23 years ago today. TDD has helped me exercise my code well before there is target hardware to run on. TDD helps me prevent defects. It can help you too.
Tenderfoot: Embedded Software and Firmware Specialties
This post revisits an earlier Stack Overflow answer and breaks embedded firmware into practical specialties, from assembly optimization and device drivers to DSP, IoT networking, security, UI, and systems architecture. It outlines the core skills, tools, and math each specialty demands, and explains how product constraints and industries shape those roles. Newcomers get clear guidance on where to focus their learning and career development.
Lessons Learned from Embedded Code Reviews (Including Some Surprises)
Jason Sachs recounts a round of motor-controller code reviews and the practical lessons his team learned about quality and tooling. He explains how a simple "ready for review" checklist and automated style checks kept meetings focused on substantive issues, and why choosing the right review tool matters after discovering lost comments in Stash. Read for concrete tips on process, subgit mirroring, vera++, and Upsource.
What to See at Embedded World 2023
Stephane Boucher is heading back to Embedded World 2023 in Nuremberg and is excited to feel the show’s post-pandemic buzz, with more than 900 vendors on the floor. He’s compiled a short list of vendors worth visiting and invites attendees to a casual meet-up on Tuesday evening at Hausbrauerei Altstadthof at 18:30. Join him to reconnect, network, and catch the latest industry trends.
How to use SPI devices in NuttX RTOS
You can get an SPI sensor running on NuttX in minutes by following a concrete RP2040 example. This post walks through the board glue code, Makefile and header edits, menuconfig settings, wiring, and flash steps needed to register a MAX6675 thermocouple on a Raspberry Pi Pico. Read it to learn where to add board-level code, enable drivers, and test the device from NSH.
Who else is going to Embedded World 2017 in Nuremberg?
Stephane Boucher is gearing up for Embedded World 2017 in Nuremberg, and he wants the EmbeddedRelated community to help shape what he covers. He plans to roam the show floor, film standout demos, and report back on vendors and products that matter most to engineers who cannot attend. If you're going, he is also floating the idea of an informal meetup in Nuremberg.
Picowoose: The Raspberry Pi Pico-W meets Mongoose
This example application describes the way to adapt the George Robotics CYW43 driver, present in the Pico-SDK, to work with Cesanta's Mongoose. We are then able to use Mongoose internal TCP/IP stack (with TLS 1.3), instead of lwIP (and MbedTLS).
First-Order Systems: The Happy Family
Jason Sachs takes the modest topic of first-order systems and makes it useful, showing how RC filters behave in both time and frequency domains and why they all share the same shape. He steps through step, ramp, and sinusoidal responses, explains poles, zeros, and Bode behavior, and uses Python plots to make tracking error and the role of tau easy to visualize.
Working with Strings in Embedded C++
This article discusses the use of strings in embedded systems. It explains how the need for and use of strings in embedded systems has changed with the advent of cheaper, full graphic displays and the growth of the ‘Internet of Things’ (IoT). The article also covers character literals, C-Strings and string literals, and the difference in memory models between them. It also highlights the safety and security issues that arise from using strings in embedded systems. Finally, it explains how C++11 introduced a Raw string literal type that is useful for storing file paths or regular expressions.
Beware of Analog Switch Leakage Current
Leakage currents in analog switches can quietly wreck precision reference circuits at elevated temperature. Jason M. Sachs walks through three switch-topology implementations for a switchable 1.25 V reference and shows which topology gives the smallest worst-case output error using real part specs. He explains why op amp input bias is usually negligible and gives practical fixes: lower resistances, better switches, or limiting temperature range.
Getting Started With Zephyr: Devicetrees
This blog post provides an introduction to the "Devicetree", another unique concept in The Zephyr Project. We learn about the basic syntax of a device tree and how its structure and hierarchy mirror hardware, from the SoC to the final board. We also see how hardware described in a devicetree can be referenced and controlled in the source code of a Zephyr-based application.
A Working Real Time Clock (RTC) Implementation
When the GPRS modem would not provide network time, Dr Cagri Tanriover implemented a compact hardware real time clock using the NXP PCF8523T. The post highlights why automatic backup switching, I2C integration, BCD register handling, and alarm/timer features matter for embedded timestamps. It also shows battery-life math with a CR1225 and offers practical build notes after an initial ESD-related failure.
BusyBox; The Swiss Army Knife of Embedded Linux
In this article we cover the BusyBox, how it's designed to be optimized for embedded targets, and how to configure and build it in different ways, we also covered the license and limitation, which led to the development of ToyBox, I hope you enjoyed the article, please leave a comment for any correction or suggestions.
Linear Regression with Evenly-Spaced Abscissae
Jason Sachs cuts through the matrix algebra to show a tiny trick for linear regression when x values are evenly spaced. You can compute the intercept as the mean and the slope as a simple weighted sum with arithmetic weights, using q = 12/(m^3 - m). The post includes Python examples and a compact routine to get least-squares coefficients without matrix solvers.
New book on Elliptic Curve Cryptography
New book on Elliptic Curve Cryptography now online. Deep discount for early purchase. Will really appreciate comments on how to improve the book because physical printing won't happen for a few more months. Check it out here: http://mng.bz/D9NA
Dark Corners of C - The Comma Operator
Ever seen a line like if (!dry_run && ((stdout_closed = true), close_stream(stdout) != 0)) and wondered what that comma means? Stephen Friederichs unpacks the rarely-discussed C comma operator, shows a circular-buffer example where it seemed to simplify looping, then demonstrates how precedence and readability problems (and even MISRA C bans) make it dangerous in practice. Read on for practical uses and cautionary lessons.
Linear Feedback Shift Registers for the Uninitiated, Part IV: Easy Discrete Logarithms and the Silver-Pohlig-Hellman Algorithm
Discrete logarithms can be either trivial or infeasible depending on how group elements are represented, and Jason Sachs shows a practical route when they are intentionally easy. This article walks through using LFSRs as fast counters, why a smooth group order matters, and how the Silver-Pohlig-Hellman algorithm plus the Chinese Remainder Theorem recovers exponents in GF(2) with small prime factors.
Choosing a Microcontroller for Your Vehicle
Picking the right microcontroller can make or break an autonomous vehicle project, and this post gives a practical checklist to help. It walks through voltage and power needs, memory and IO planning, cost and availability tradeoffs, and when to step up from an 8-bit MCU to a 32-bit controller or single-board computer. Real-world board examples illustrate the choices.
