Contents
Why does quantization error occur?
Error resulting from trying to represent a continuous analog signal with discrete, stepped digital data. The problem arises when the analog value being sampled falls between two digital “steps.” When this happens, the analog value must be represented by the nearest digital value, resulting in a very slight error.
What is maximum quantization error?
The maximum error possible is equivalent to a voltage corresponding to ±(½) of an LSB. For an ideal digital recorder, this quantization would be the only source of error in the recorded samples. For a real digital recorder, this error sets the absolute upper limit on the accuracy of the readings.
Which is an example of a quantization error?
The quantization process introduces some error into the system. This article will look at quantization error by applying a ramp input to a quantizer. Then, we’ll look at an example in which the quantization error resembles a noise source. Moreover, we’ll discuss the advantages of modeling the quantization error using a noise source.
How is the quantization error of an ADC calculated?
This error is called quantization error (V q) and can be calculated by subtracting the ADC input (V in) from the output of the DAC (V out) as shown in Figure 3 below. Let’s apply a ramp signal to the input of the above setup and examine the quantization error more closely. The blue line in Figure 4 shows the ramp applied to the input.
Is the RMS of the quantization error proportional to the LSB?
To investigate some properties of this error, we applied a ramp input and observed that the RMS of the error is proportional to the LSB value. Also, as depicted in the example of Figure 5, the quantization error is always between ±LSB/2. Increasing the resolution of the quantizer will reduce the LSB and the error term.
How to calculate amplitude quantization error in Figure 5?
For the error waveform of Figure 5, we have: To keep things simple, we ignore the first part (0 < t < t 1) and the last part (t 8 < t < t 9) of the waveform. The error introduced by ignoring these two parts decreases as the resolution of the quantizer increases. We obtain: