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

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

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc