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  • CCS

    Quantization

    In the previous section we studied two methods for noiseless coding; that is, compression
    of the source output sequence such that full recovery is possible from the
    compressed data. In these methods the compressed data are a deterministic function
    of the source output, and the source output is also a deterministic function of the compressed
    data. This one-to-one correspondence between the compressed data and the
    source output means that their entropies are equal and no information is lost in the
    encoding-decoding process.

    In many applications, such as digital processing of the analog signals, where the
    source alphabet is not discrete, the number of bits required for representation of each
    source output is not finite. In order to process the source output digitally, the source has
    to be quantized to a finite number of levels. This process reduces the number of bits to
    a finite number but at the same time introduces some distortion. The information lost
    in the quantization process can never be recovered.

    In general, quantization schemes can be classified as scalar quantization and vector
    quantization schemes. In scalar quantization each source output is quantized individually,
    whereas in vector quantization blocks of source output are quantized.
    Scalar quantizers can be further classified as uniform quantizers and nonuniform
    quantizers. In uniform quantization, the quantization regions are chosen to have equal
    length; in nonuniform quantization, regions of various lengths are allowed. It is clear
    that, in general, nonuniform quantizers outperform uniform quantizers.

    Scalar Quantization

     

    Uniform Quantization

     

     

     

     

     

    Nonuniform Quantization

    Reference,

      1. <<Contemporary Communication System using MATLAB>> - John G. Proakis

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  • 原文地址:https://www.cnblogs.com/zzyzz/p/13855103.html
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