aaronnnn5795 aaronnnn5795

25-03-2020
Mathematics

contestada

Consider a measurement algorithm where the encoder photodetectors are polled to detect W/B transitions. If the encoder is spinning at frequency f Hertz, show that the minimum sampling rate required to guarantee that no W/B transition is missed is 2 NL/H f

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lukman4real lukman4real

30-03-2020

Answer: Let the sampling frequency be fs

2N=fs

Step-by-step explanation:

If a function f(x) contains no frequencies higher than f hertz, it is completely determined by giving its ordinates at a series of points spaced 1/2f seconds apart.

A sufficient sample-rate is therefore anything larger than 2f samples per second. Equivalently, for a given sample rate fs, perfect reconstruction is guaranteed possible for a bandlimit N<fs/2

2N=fs

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