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Quantization

Module by: Phil Schniter. E-mail the author

Summary: This module introduces the topic of quantization and prefaces the discussion of later modules in the course on source coding.

  • Given a continuous-time and continuous-amplitude signal x(t)x(t), processing and storage by modern digital hardware requires discretization in both time and amplitude, as accomplished by an analog-to-digital converter (ADC).
  • We will typically work with discrete-time quantities x(n)x(n) (indexed by “time” variable n) which we assume were sampled ideally and without aliasing.
  • Here we discuss various ways of discretizing the amplitude of x(n)x(n) so that it may be represented by a finite set of numbers. This is generally a lossy operation, and so we analyze the performance of various quantization schemes and design quantizers that are optimal under certain assumptions. A good reference for much of this material is the textbook by Jayant and Noll.

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