http://www.ece.udel.edu/~boncelet/enFri, 31 Mar 2017 18:31:48 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttp://www.ece.udel.edu/~boncelet/blog/sampling-theorem-aliasing.htmlCharles Boncelet<div><p>The sampling theorem consists of two parts: the first is sampling and aliasing and the second is reconstruction. Taken together, the sampling theorem is the most important concept in digital signal processing: it is why we can use digital computers to analyze continuous time signals.</p> <p>I wrote up a quick IPython script demonstrating aliasing. Basically, we have a series of plots showing two continuous time sinusoids and the resulting samples. The digital frequencies are the same.</p> <p>In later work, we will demonstrate reconstruction.</p> <p>Here are the files: <a href="http://www.ece.udel.edu/~boncelet/SamplingTheoremAliasing.ipynb">IPynb</a>, <a href="http://www.ece.udel.edu/~boncelet/SamplingTheoremAliasing.html">HTML</a></p></div>dspipythonsignal processinghttp://www.ece.udel.edu/~boncelet/blog/sampling-theorem-aliasing.htmlMon, 18 Aug 2014 02:28:12 GMThttp://www.ece.udel.edu/~boncelet/blog/ipython.htmlCharles Boncelet<div><p>The IPython Notebook is a great vehicle for Python programming and data analysis. I've started using the notebook in my courses.</p> <p>Here are a number of interesting IPython notebooks. Many are simple, focusing on beginners; some are more complicated. Feel free to use them in your own courses or your own studies.</p> <p>Check back often as I will add more notebooks.</p> <h3>Probability, Statistics, and Data Analysis</h3> <ul> <li> <p><strong>Birthday and Chuck-a-Luck</strong>. <a href="http://www.ece.udel.edu/~boncelet/Birthday.ipynb">[ipynb]</a> <a href="http://www.ece.udel.edu/~boncelet/Birthday.html">[html]</a></p> <p>This is one of the first IPython notebooks I wrote (it shows little effort to "beautify" anything). It was part of a lecture in my ELEG 310 class (Random Signals and Noise). Chuck-a-Luck is a carnival dice game. I used it as a simple example of a random process. </p> </li> <li> <p><strong>RandomVariables</strong>. <a href="http://www.ece.udel.edu/~boncelet/RandomVariables.ipynb">[ipynb]</a> <a href="http://www.ece.udel.edu/~boncelet/RandomVariables.html">[html]</a> </p> <p>Another one from my ELEG 310 class. Shows some discrete and continuous probability distributions and various plots. Inspired by (and parts copied from) a notebook by J.R. Johansson (robert@riken.jp). </p> </li> </ul> <h3>Digital Signal Processing</h3> <ul> <li> <p><strong>Sine and Square Waves for St. Patrick's Day</strong>. <a href="http://www.ece.udel.edu/~boncelet/SineAndSquareWaves.ipynb">[ipynb]</a> <a href="http://www.ece.udel.edu/~boncelet/SineAndSquareWaves.html">[html]</a></p> <p>Part of a guest lecture I gave in Prof. Cimini's ELEG 305 class. I wanted to show the students how Python can be used for signal processing (as an alternative to Matlab). Sine waves, Lissajous plots, square waves. </p> </li> <li> <p><strong>Math Teachers Talk 2014 (Fun with sinusoids--and a little digital music)</strong>. <a href="http://www.ece.udel.edu/~boncelet/MathTeachersTalk2014.ipynb">[ipynb]</a> <a href="http://www.ece.udel.edu/~boncelet/MathTeachersTalk2014.html">[html]</a></p> <p>I gave this at the Toyota-UD Applied Math Initiative, 24 July 2014. In attendence were a couple dozen high school (and a few middle school) teachers. The purpose was to show how high school mathematics is used by professionals. This notebook is a lot of fun: sinusiods, Lissajous figures, digital music, beat frequencies, frequency modulation, tremolo. </p> </li> </ul></div>dspgraphicsipythonprobabilitysignal processingstatisticshttp://www.ece.udel.edu/~boncelet/blog/ipython.htmlFri, 08 Aug 2014 01:57:46 GMT