Exercise#1 Good voice reproduction via PCM can be achieved with 128 quantization levels. a- How many bits to code a voice signal? b- According to the sampling theorem, samples should be taken at a rate of 8000 samples per second. Determine the data rate for the PCM-encoded digital data. Exercise#2 What SNR ratio is required to achieve a Bandwidth efficiency of 1.0 for QPSK? Assume that the required bit error rate is 10°. R Note that SNR = x, where is the Bandwidth efficiency. No 1.0 10-1 AMI, pseudotemary, ASK, FSK 10-2 10-3 NRZ, tiphase PSK, QPSK 104 10-5 3 dB 10-6 10-7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 (E»No) (dB) Figure: Theoretical Bit Error Rate (BER) for various encoding scheme Probability of bit error (BER)
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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