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 square wave has a fundamental frequency of 1Hz. It has the value +2volts at t=0. It has a maximum value of 2 volts, and a minimum value of -2 volts. It is sampled at 1Hz. What is the resulting sequence of the magnitude of the quantisation errors in the codewords?

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 square wave has a fundamental frequency of 1Hz. It has the value +2volts at t=0. It has a maximum value of 2 volts, and a minimum value of -2 volts. It is sampled at 1Hz. What is the resulting sequence of the magnitude of the quantisation errors in the codewords?