LFSRs can be described by a list of binary coefficients, sometimes referred as the polynomial, since they correspond directly to the characteristic polynomial of the quotient ring.

Today we’re going to look at how to perform certain practical calculations in these finite...]]> Mon, 17 Jul 2017 04:12:13 +0000 Jason Sachs https://www.fpgarelated.com/showarticle/1065/linear-feedback-shift-registers-for-the-uninitiated-part-i-ex-pralite-monks-and-finite-fields Later there will be, I hope, some people who will find it to their advantage to decipher all this mess.

— Évariste Galois, May 29, 1832

I was going to call this short series of articles “LFSRs for Dummies”, but thought better of it. What is a linear feedback shift register? If you want the short answer, the Mon, 03 Jul 2017 18:43:16 +0000 Jason Sachs https://www.fpgarelated.com/showarticle/268/oscilloscope-dreams My coworkers and I recently needed a new oscilloscope. I thought I would share some of the features I look for when purchasing one.

When I was in college in the early 1990's, our oscilloscopes looked like this:

Now the cathode ray tubes have almost all been replaced by digital storage scopes with color LCD screens, and they look like these:

Oscilloscopes...]]> Sun, 15 Jan 2012 03:14:49 +0000 Jason Sachs