2. PCM A voice signal is measured at 3.21692 V and it resides inside an interval from 3.20 V to 3.30 V. b) If there were 512 levels in the PCM encoder, how many bits would the sample above represent? HINT: L=2" d) If the total range of voltages started at zero and there are 512 intervals, what would the maximum possible voltage be? e) The original voice signal voltage and the decoded voltage value are different. What is this "round off error"?
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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b) The number of levels is given by the expression as shown below:
Plugging the known values in the above expression,
The above sample represents 9 bits
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