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A PCM system has 8 quantum levels at 1V, 1.5V, 2V, 2.5V, 3V, 3.5V, 4V, 4.5V. What is the largest quantization noise possible in the system?

Question

A PCM system has 8 quantum levels at 1V, 1.5V, 2V, 2.5V, 3V, 3.5V, 4V, 4.5V. What is the largest quantization noise possible in the system?

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Solution

The quantization noise in a PCM system is determined by the difference between the actual analog value and the nearest quantum level. In this case, the quantum levels are 0.5V apart. Therefore, the largest quantization noise possible in the system would be when the actual analog value falls exactly between two quantum levels, which would result in a quantization noise of 0.5V/2 = 0.25V.

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