The Performance of Quantizers for a Class of Noise-Corrupted Signal Sources

An investigation is made of the performance of quantizers used as source encoders for noise-corrupted signal sources. The developmerit is pertinent to discrete-time, memoryless, signal-signal-sourse-independent noise sources with a given amplitude bound. A functional analysis approach is adopted to formulate the problem and derive the results. The derivations and intermediate results are in terms of an arbitrary quantizer and, consequently, are applicable to any quantizer and allow quantizer performance comparisons in the worstcase corrupting-noise source context. Examples are presented with this type of comparison in mind. These examples instructively illustrate the application of the results as well as file performance of the uniform quantizer and others under their worst-case additive noise conditions.