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analysis:rhythms:step3

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 analysis:rhythms:step3 [2016/03/29 15:40]mvdm analysis:rhythms:step3 [2018/07/07 10:19] (current) Both sides previous revision Previous revision 2016/03/29 15:41 mvdm 2016/03/29 15:40 mvdm 2016/03/29 15:40 mvdm 2016/03/29 15:39 mvdm created Next revision Previous revision 2016/03/29 15:41 mvdm 2016/03/29 15:40 mvdm 2016/03/29 15:40 mvdm 2016/03/29 15:39 mvdm created Line 21: Line 21: ==== Motivating example: aliasing ==== ==== Motivating example: aliasing ==== - Before you begin, do a ''​git pull''​ from the course repository. Also, to reproduce the figures shown here, change the default font size (''​set(0,'​DefaultAxesFontSize',​18)''​ -- a good place to put this is in your path shortcut). + Let's start with an example that illustrates what can go wrong if you are not aware of some basic sampling theory ideas. To do so, we will first construct a 10Hz signal, sampled at 1000Hz ​(i.e. we are taking 1000 measurements per second). Recalling that the frequency //f// of a sine wave is given by $y = sin(2 \pi f t)$: - + - Let's start with an example that illustrates what can go wrong if you are not aware of some basic sampling theory ideas. To do so, we will first construct a 10Hz signal, sampled at 1000Hz. Recalling that the frequency //f// of a sine wave is given by $y = sin(2 \pi f t)$: +