Use the formula quantization error where the number levels the quantizer

Solved Step by Step With Explanation-Transducer Parameters: K, a, Kı, KM

Questions

(B) If signal of input range (0-2.55 V) is to be converted to digital form using a 30 levels quantizer.

1- Calculate the maximum quantization error as % of full scale deflection.

Q.4 (A) Answer

To check the system ideality, we need to calculate the combined sensitivity of the force measurement system and then determine if it remains constant for different input values. The combined sensitivity (Sc) of the system is given by:

Now, let's check if the system remains ideal by calculating the sensitivity for an input of 10 kN.

Input = 10 kN = 10000 N

(B) Answer

To calculate the maximum quantization error as a percentage of full-scale deflection, we use the formula:

Maximum Quantization Error (%) = 3.33%

To find the corresponding digital code for a sample with a value of 2V, we first need to determine the step size (ΔV) of the quantizer. The input range is 0-2.55V, and there are 30 levels.

Digital Code = 2V / 0.085V

Digital Code = 23.529

(C) Answer

To calculate the transducer parameters K, a, Kı, and KM:

T20 = 20°C + 273.15 = 293.15 K

T30 = 30°C + 273.15 = 303.15 K

a = V20 - 4V = 0V

Temperature coefficient of sensitivity (Kı) = K / V20

KM = 0V / 10K

KM = 0 V/K

4- The temperature coefficient of offset (KM) is 0 V/K.