analog signal is to be coded by an ADC. The signal contains significant frequencies up to 6MHz. The quantization error in any one sample value must be within ± 0.5% of the peak-to-peak amplitude range of the ADC. How many binary digits must each sample contain? Apply (or equate) the formulas: Δ = Xmax - Xmin / L - 1 where Xmax - Xmin = peak-to-peak amplitude range (XRange) eq[n] = Δ/2 (maximum quantization noise) eq[n] = 0.005 XRange
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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An analog signal is to be coded by an ADC. The signal contains significant frequencies up to 6MHz. The quantization error in any one sample value must be within ± 0.5% of the peak-to-peak amplitude range of the ADC. How many binary digits must each sample contain?
Apply (or equate) the formulas:
Δ = Xmax - Xmin / L - 1
where Xmax - Xmin = peak-to-peak amplitude range (XRange)
eq[n] = Δ/2 (maximum quantization noise)
eq[n] = 0.005 XRange
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