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University of Michigan EECS 461 Embedded Control Post Lab 2

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University of Michigan EECS 461 EECS 461 Post Lab 2 1. 4000 encoder counts per revolution, consistent with prelab solution 2. We found the value to be a little more than ​8 revolutio ... ns​ (approximately 8.16) Theoretical value: 241060-01 = 16.38 → Divide this by 2 as 0x8000 is the center position ⇒ ​8.19 revolutions 3. Clock delay: 3 × 10-7 seconds/edge Let speed = R revs/seconds ⇒ time per rev = R1 seconds 1 rev = 4000 transitions (or edges) ⇒ time per edge = 1seconds 4000R To process all edges, delay < time per edge ⇒ 3 × 10-7 < 40010R ​ ⇒ R < 833.3 ⇒ max R =​ 833 revolutions/second 4. R = 833 rev/s # of revolutions for 16-bit register to overflow = 16.38 ⇒ slowest CPU rate = 833 = ​50.8 Hz 16.38 5. a. Resolution = 4306000 degrees per edge ⇒ event will occur for angle of rotation = ​0.09 degrees b. Rotation freq = R cycles/sec 1 cycle = 4000 events ⇒ sampling frequency fs = 4000 R samples/sec c. For correct sampling, f​min, sampling​ = 2R samples/sec fs = 4000 R >> 2R ⇒ Yes, Nyquist hypothesis is satisfied and we can perfectly reconstruct the signa; [Show More]

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