Consider a derivative integral controller (PID), it is necessary to determine the value of k (gain) so that the system is not oscillatory. It is known that in the permanent regime the difference between output and input should be less than 10% for a unit step input.
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
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Consider a derivative integral controller (PID), it is necessary to determine the value of k (gain) so that the system is not oscillatory. It is known that in the permanent regime the
difference between output and input should be less than 10% for a unit step input.
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