Response to the following problem:
For the companding quantizer of Example 1, what are the outputs for the following inputs: -0.8, 1.2,0.5,0.6,3.2, -0.3? Compare your results with the case when the input is directly quantized with a uniform quantizer with the same number of levels. Comment on your results.
Example 1:
Suppose we have a source that can be modeled as a random variable taking values in the interval [-4, 4] with more probabiUty mass near the origin than away from it. We want to quantize this using the quantizer of Figure . Let us try to flatten out this distribution using the following compander, and then compare the companded quantization with straightforward uniform quantization. The compressor characteristic we will use is given by the following equation:
