A PCM communication system has 4 codewords: 00, 01, 10, 11; the first two are for positive voltages, the second two are for negative voltages. These are arranged in the way we have become used to seeing them arranged: the larger the binary number the larger the *magnitude* of the signal. The gap between codewords is 1 volt. No codeword gap straddles the 0 volts value. A negative cosine wave has a fundamental frequency of 1Hz. It has the value -1.5volts at t=0. It has a maximum value of 1.5 volts, and a minimum value of -1.5 volts. It is sampled at 1Hz. What is the resulting sequence of codewords
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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A PCM communication system has 4 codewords: 00, 01, 10, 11; the first two are for positive voltages, the second two are for negative voltages. These are arranged in the way we have become used to seeing them arranged: the larger the binary number the larger the *magnitude* of the signal. The gap between codewords is 1 volt. No codeword gap straddles the 0 volts value. A negative cosine wave has a fundamental frequency of 1Hz. It has the value -1.5volts at t=0. It has a maximum value of 1.5 volts, and a minimum value of -1.5 volts. It is sampled at 1Hz. What is the resulting sequence of codewords?
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