What is rate-distortion function?

In the context of causal coding, the rate-distortion function rc(D) is defined to be the minimum average transmission rate such that the average distortion is no larger than D. It is shown in Ref.

What is rate-distortion criteria?

Rate–distortion theory is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the problem of determining the minimal number of bits per symbol, as measured by the rate R, that should be communicated over a channel, so that the source (input signal) …

Which technique can lower the average distortion?

Negative feedback reduces distortion. All engineers agree on this, but shouting begins immediately afterwards regarding the character and subjective effect of the new distortion.

What is distortion criteria in data compression?

A distortion measure is a mathematical quantity that specifies how close an approximation is its original some distortion criteria. When looking at compressed data, it is natural to think of the distortion in terms of the numerical difference between the original data and the reconstructed data.

What is source code information theory?

Source coding is a mapping from (a sequence of) symbols from an information source to a sequence of alphabet symbols (usually bits) such that the source symbols can be exactly recovered from the binary bits (lossless source coding) or recovered within some distortion (lossy source coding).

What are distortion measures?

DISTORTION measure is an assignment of a nonnega- tive number to an input/output pair of a system. The distortion between an input or original and an output or repro- duction represents the cost or distortion resulting when that input is reproduced by that output.

What are the different types of source coding techniques?

Types of Coding.

  • Digital Image Coding.
  • Two Types of Source (Image) Coding.
  • • Lossless coding (entropy coding) – Data can be decoded to form exactly the same bits. – Used in “zip”
  • Entropy.
  • Conditional Entropy and Mutual Information.
  • Entropy (Lossless) Coding of a Sequence.
  • A Code.
  • How is cluster distortion calculated?

    The distortion is the sum of square errors (SSE) – that’s 3 things that need to take place; determine the error, square it, then finally take the sum. The “error” in this case is the difference between each data point coordinates and the centroid coordinates.