Guide to FPGA Implementation of Arithmetic Functions: 149 (Lecture Notes in Electrical Engineering)

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This book is designed both for FPGA users interested in developing new, specific components - generally for reducing execution times � and IP core designers interested in extending their catalog of specific components. � The main focus is circuit synthesis and the discussion shows, for example, how a given algorithm executing some complex function can be translated to a synthesizable circuit description, as well as which are the best choices the designer can make to reduce the circuit cost, latency, or power consumption.� This is not a book on algorithms. � It is a book that shows how to translate efficiently an algorithm to a circuit, using techniques such as parallelism, pipeline, loop unrolling, and others.� Numerous examples of FPGA implementation are described throughout this book and the circuits are modeled in VHDL. Complete and synthesizable source files are available for download.
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Guide to FPGA Implementation of Arithmetic Functions: 149 (Lecture Notes in Electrical Engineering) Review
Jean-Pierre Deschamps lives in an interesting region bounded by embedded systems, math circuits, cryptography and field programmable devices. His tools of choice are FPGA, ASIC and VHDL. The intersection area of all three of his most powerful and current books is the transition from already planned algorithms to circuits. There is enough breadth and depth to provide both a reference for practicing EE's and students in these specific areas. What you don't get in any of his books are specific algorithms. You DO get downloadable circuit synthesis, and a lot of discussion of which algorithms do and don't work.
Example: a humorous progression of square root algos that first take (converse) exponential time to process as root taken grows, to linear (one on one cost vs. size of root!) to the best practices that allow you to easily go 10 ^ 9 on your HP or TI. This is non trivial since the new Kindle HD has a TI core, and is one of the first that can accurately display LaTEX!
Jean-Pierre uses more of a "here is the general structure of the algorithm" with practical tips on steps and stages rather than complete specs, for what I'd call "pseudo algos" much like pseudo code. However, in this case there are many details on how the basic functions TRANSLATE both to algorithms, and especially circuits, including downloadable circuit diagrams in many areas.
His most important contributions include:
Guide to FPGA Implementation of Arithmetic Functions (Lecture Notes in Electrical Engineering)
Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems
Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering)
All three books give deep detail about the math involved itself-- citing where functions are continuous and derivable enough NEAR a computational area at which successive approximations can be processed, for example.
Given the paucity of any current and recent books on math circuits, and even journal articles, Deschamps is a breath of fresh air in this space. The older books have a lot of algorithms but didn't have to cope with today's memory and parallel processing nightmares. They also didn't forsee the incredible explosion of embedded systems we're seeing today. These books are NOT cheap, and we always surf Amazon for their warehouse deals when we recommend these texts for our classpros dot com Engineering teachers. The feedback we've gotten on all three of Deschamps titles above is outstanding-- over 33 professors we've recommended these to are now actively using them in courses and especially labs.
If you're looking to supercharge your professional life in the hottest new areas in ICs-- embedded systems, mobile devices and math-- Jean-Pierre's trifecta is a GREAT place to start.
In this book Deschamps is careful to distinguish the algorithms, hardware implementations, etc. from his previous arithmetic synthesis book above. In particular, this book is intended to be a more general (and very current) detailed exploration on solving processor speed problems. Arithmetic, floating point, signal processing, encryption, GIS, and many other areas have these issues, particularly in the area of circuit synthesis. The authors argue that FPGA is a better suited platform than ASICs (Engineering Cost wise) for these problems.
Chapter 1: Review of building blocks (This chapter covers some basics of Hardware Description Languages and Logic Circuits, but is NOT for beginners. It is a transition from what you should already know about these to the more advanced circuit synthesis implementations. The author's website also gives real, downloadable, usable source files that can be immediately synthesized with VHDL-- we tried them!).
Chapters 2-4: How to transition from algorithm to circuit. Includes data paths, control units, scheduling and resource assignment.
Chapters 5 and 6: important electronic concepts and a wonderful review of EDA (design automation) tools to front end FPGA (Libero, Quartus II, different GUIs for Verilog vs. VHDL, IP cores, C++, Matlab/Simulink, Altera, Xilinx, Precision, Synplicity, many more). This section is very up to date and will save a ton of time exploring what the best practices are today.
Chapters 7-13: Detailed exploration of general algorithms and specific circuits for addition, multiplication, division, square roots etc., decimal arithmetic, floating point and finite field.
14-16: On Chip Systems (SoC), including a very current review (16) of Partial Reconfiguation, which is a current dynamic technique for area reduction at run time.
I'm the CTO of an Engineering Education and circuit programming firm, and have no relationship with the author, publisher, Amazon, etc. LP reviews are strictly for the benefit of readers, and we always buy the books we review or recommend to libraries and schools.
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