Polynomial Math
This post walks through squaring and inversion in a tiny finite field to make ECC math tangible. Using GF(2^5) with primitive polynomial beta^5 + beta^2 + 1 it shows why squaring cancels cross terms so you only need half the lookup table, and how Fermat exponentiation computes inverses via repeated squarings and multiplies. It also demonstrates the Extended Euclid polynomial inverse and compares FPGA and CPU tradeoffs.
Welcoming MANY New Bloggers!
A big influx of new voices just joined DSPRelated, and Stephane Boucher introduces the growing roster of contributors and their backgrounds. The post lists dozens of newly approved bloggers, highlights the range of DSP and embedded expertise they bring, and asks readers to leave constructive feedback on posts. It also explains why some applicants may not have been accepted yet and how to apply properly.
Recruiting New Bloggers!
EmbeddedRelated is expanding its blogging team, and Stephane Boucher is inviting engineers, students, hobbyists, and researchers to contribute. He points to the success of earlier contributors and says the community has already read their articles more than 1,250,000 times. If you have knowledge to share, this post explains how to pitch a topic and get started.
Summer of Gateware
Christopher Felton walks through MyHDL's first year as a Google Summer of Code sub organization, from selecting two students to shipping SDRAM and conversion work. He highlights the practical bumps, including proposal expectations, the value of early patches, and the need for frequent mentoring and flexible milestones. The post shares concrete lessons for mentors, students, and projects planning to participate in GSoC.
Tools of the Trade: reading PDFs (and keeping bookmarks)
Victor Yurkovsky recommends MuPDF as a fast, no-frills PDF viewer and shares a tiny C tweak that makes bookmarks persistent and portable. The mod writes a 40-byte file next to each PDF containing ten 4-byte page numbers, so bookmarks follow your files across machines. If you juggle dozens of datasheets and manuals, this keyboard-driven workflow makes reading and navigation dramatically less painful.
Inside the Spartan-6: Using LUTs to optimize circuits
Victor Yurkovsky hit poor synthesis packing while building a J1 CPU on Spartan-6 and traced the problem to an 18-bit logic ALU that mapped to many slices. He demonstrates a practical fix: instantiate LUT6 primitives with carefully chosen INIT values, then use RLOC placement to stack the per-bit LUTs and collapse the design down to five slices. This is a hands-on guide to Xilinx-specific optimization when synthesis falls short.
Homebrew CPUs: Color Languages
Victor Yurkovsky proposes turning color from mere syntax highlighting into a semantic tool for a Forth-like CPU, letting color pick which stack an operation touches. He outlines a "Rainbow Forth" where green and blue select two datastacks, red denotes the return stack, gray means use the caller's color, and white is neutral. The post sketches CPU changes, a COLOR register, call encoding and immediate-mode coloring, and teases editor and compiler implications for implementing this idea on a J1-style core.
Homebrew CPUs: Messing around with a J1
Victor Yurkovsky takes James Bowman's compact J1 stack CPU and starts hacking: he trims the ALU, replaces the barrel shifter with simpler shifts, and experiments with dual stacks and memory/IO feeding directly into the ALU. The article walks through small, practical changes that cut logic, add instructions, and boost timing on Spartan-6. It's a hands-on tour that shows how approachable homebrew CPUs can be.
Makefiles for Xilinx Tools
Building a bitstream from HDL is messy, and Victor Yurkovsky lays out a minimal, practical makefile workflow for Xilinx ISE and XST. He shows a simple project layout, techniques to tame ISE's generated logs and temps, and a ready-to-clone repo; an LED blinker example builds to bitstream in under 20 seconds on his machine. Use it as a pragmatic starting point for command-line FPGA builds.
Use a Simple Microprogram Controller (MPC) to Speed Development of Complex Microprogrammed State Machines
The article presents a synthesizable Verilog microprogram controller (MPC) modeled on the Fairchild F9408 that simplifies development of complex microprogrammed state machines. It explains desirable MPC features — a loadable program counter for sequential and non-sequential execution, conditional and multi-way branching, and a microsubroutine stack — and then provides a working HDL implementation (F9408A_MPC). The module is parameterized for microprogram address width, supports a 4-level LIFO return stack, 8-way multiway branch via an external selector, pipelined or non-pipelined operation, and registered test inputs for conditional branches. The article includes the full Verilog source and discusses practical uses of the MPC in designs from protocol controllers to a 65C02 microprocessor reimplementation.
Live Streaming from Embedded World!
Stephane Boucher will bring Embedded World to engineers who cannot attend, streaming high-quality HD video from the show floor. He plans to use a professional camera and a device that bonds three internet links to keep the stream stable, and he is coordinating live sessions with vendors and select talks. Read on to learn how to vote for the presentations you want streamed.
Feedback Controllers - Making Hardware with Firmware. Part 7. Turbo-charged DSP Oscillators
You can extract high-quality, high-sample-rate sine waves from FPGAs even when floating-point units are constrained by latency. This article compares Intel's NCO IP (multiplier option) with floating-point recursive biquads on Cyclone V and Cyclone 10 GX, and explains a boosted-sample-rate technique that pushes performance toward a 48Msps DAC target. Practical measurement results, spectral data, and resource/cost trade-offs are highlighted.
Who else is going to Sensors Expo in San Jose? Looking for roommate(s)!
Stephane Boucher is heading to Sensors Expo in San Jose for the first time, and he is bringing cameras to capture demos and build a highlights video. He is also looking for roommates for a roomy Airbnb near the convention center, plus local tips for making the most of a free day in the Bay Area. If you are attending, there is also a registration discount code and a VIP pass giveaway in the mix.
Launch of EmbeddedRelated.tv
Stephane Boucher launches EmbeddedRelated.tv to host live broadcasts from Embedded World, starting next week. The site will show a constantly evolving schedule, a Live! tab to find ongoing streams, and ad-hoc demos added from the show floor. Expect schedule conflicts and small hiccups, and plan to refresh the page and join the forum thread for real-time updates and feedback.
Embedded World 2018 - The Interviews
Stephane Boucher brought video gear to Embedded World 2018 and teamed up with Jacob Beningo to capture concise vendor interviews that focus on real product news. The videos showcase Percepio's new Tracealyzer with a drone demo, Intrinsic ID's method for creating device-unique IDs from manufacturing variations, and SEGGER's broader toolset including embOS now certified by TÜV SÜD. Watch for short demos and expert explanations.
ESC Boston's Videos are Now Up
Stephane Boucher shares the videos he produced from ESC Boston, including a short highlight montage, a booth video for DLOGIC, and full talk clips from the conference. He also reflects on what he learned shooting on the show floor, especially the challenge of getting engineers on camera. It’s a quick behind-the-scenes look at technical event videography, with a preview of his next stop in Germany.
Linear Feedback Shift Registers for the Uninitiated, Part II: libgf2 and Primitive Polynomials
Jason Sachs digs into practical finite-field arithmetic for LFSRs, using his libgf2 Python library as the hands-on guide. He shows how to test whether a polynomial is primitive, why that matters for maximal-length sequences, and how the library implements addition, multiplication, exponentiation, and shifts over GF(2). The post is both a math refresher and a code walkthrough for engineers who want to compute with LFSRs instead of just talk about them.
Ancient History
Technology moves fast, and the tools, platforms, and assumptions you rely on can become outdated almost overnight. In this reflective post, the author contrasts the rapid evolution of embedded development with the much slower pace of social change, from programming turnaround times to the underrepresentation of women in engineering. It is a reminder to keep learning, but also to think about how we work and who gets included.
Feedback Controllers - Making Hardware with Firmware. Part 3. Sampled Data Aspects
This article digs into practical sampled-data issues you must address when building feedback controllers for circuit emulation. It highlights a common MATLAB versus Simulink discrepancy caused by DAC holding, explains why FOH (ramp-invariant) c2d conversion matters, and surveys latency, bit depth, filter and precision trade-offs. It also lists candidate ADCs, DACs and FPGAs used in a real evaluation platform to guide hardware choices.
Mathematics and Cryptography
Cryptographic math can look intimidating, but this roundup trims it to what FPGA engineers actually need. It groups concise articles on number theory and elliptic curves, focusing on polynomial math over Galois fields, FPGA-friendly inversion and one-clock-cycle techniques, and elliptic-curve key exchange and digital signatures. Read this to learn which subroutines to implement first and how to turn math into Verilog or VHDL.
Live Streaming from Embedded World!
Stephane Boucher will bring Embedded World to engineers who cannot attend, streaming high-quality HD video from the show floor. He plans to use a professional camera and a device that bonds three internet links to keep the stream stable, and he is coordinating live sessions with vendors and select talks. Read on to learn how to vote for the presentations you want streamed.
Feedback Controllers - Making Hardware with Firmware. Part 7. Turbo-charged DSP Oscillators
You can extract high-quality, high-sample-rate sine waves from FPGAs even when floating-point units are constrained by latency. This article compares Intel's NCO IP (multiplier option) with floating-point recursive biquads on Cyclone V and Cyclone 10 GX, and explains a boosted-sample-rate technique that pushes performance toward a 48Msps DAC target. Practical measurement results, spectral data, and resource/cost trade-offs are highlighted.
Why I would choose an FPGA development board?
FPGA boards are the smarter choice for hands-on learning and flexible hardware design. Compared with microcontroller dev boards, they let you run many hardware tasks in parallel, reuse the same HDL across different vendors, and even host soft-core microcontrollers inside the fabric. This post walks through those practical advantages and points out modern low-cost boards that make FPGAs accessible for students and engineers.
How to start in FPGA development? - Some tips
Starting from zero, this practical primer walks new FPGA users through the early decisions and habits that make projects work. Nuria Orduna covers how to pick a device, sketch a clear dataflow, prototype in MATLAB or C, organize VHDL entities versus functions, and use ModelSim .do files and testbenches to debug before programming the board. Read it for concise, hands-on starting points.
Feedback Controllers - Making Hardware with Firmware. Part I. Introduction
This first post kicks off a series on using DSP and feedback control with mixed-signal electronics and FPGAs to emulate two-terminal circuits and create low latency controllers. It frames circuit emulation as a feedback problem, highlights latency as the key practical constraint, and outlines the planned evaluation hardware, target devices, and software tools that will be used in later MATLAB/Simulink and FPGA work.
What to See at Embedded World 2019
Skip the overwhelm at Embedded World 2019, Stephane Boucher lays out a practical preview of what to see and how to prioritize your time. The post helps embedded engineers focus on demos, vendor booths, and sessions that matter without getting lost on the show floor. Read it to plan a short, efficient visit that maximizes technical takeaways and networking opportunities.
Who else is going to Sensors Expo in San Jose? Looking for roommate(s)!
Stephane Boucher is heading to Sensors Expo in San Jose for the first time, and he is bringing cameras to capture demos and build a highlights video. He is also looking for roommates for a roomy Airbnb near the convention center, plus local tips for making the most of a free day in the Bay Area. If you are attending, there is also a registration discount code and a VIP pass giveaway in the mix.
The Spartans
Christopher Felton walks through the Spartan6 FPGA basics, explaining CLBs, slices, and the new 6-input LUTs while comparing them to Spartan3. He ran timing-driven mappings of real gateware to show practical LUT utilization differences. The post gives a pragmatic estimate of expected LUT savings and points out where mapping results can vary depending on the design.
Launch of EmbeddedRelated.tv
Stephane Boucher launches EmbeddedRelated.tv to host live broadcasts from Embedded World, starting next week. The site will show a constantly evolving schedule, a Live! tab to find ongoing streams, and ad-hoc demos added from the show floor. Expect schedule conflicts and small hiccups, and plan to refresh the page and join the forum thread for real-time updates and feedback.
FPGA or DSP Processor - Parameters to Make the Right Choice
Muhammad Yasir breaks down the practical tradeoffs between FPGAs and DSP processors for real-world signal-processing systems. He offers concrete rules of thumb on sampling-rate and data-rate limits, MMAC performance bands, and when conditional logic or floating-point favors a DSP. The post also covers power, form factor, maintainability, and development-time tradeoffs to help architects pick the right platform.















