Table of Contents

## What is the 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.

## What is rate-distortion criteria?

Rateâ€“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) …

## 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 is source coding and channel coding?

Source coding: The source encoder converts information waveforms to bits, while the decoder converts bits back to waveforms. Channel coding: The channel encoder converts bits to signal waveform, while the decoder converts received waveform back to bits.

## What is Quantiz function in Matlab?

index = quantiz( sig , partition ) returns the quantization levels of input signal sig by using the scalar quantization partition specified in input partition . The function also returns quants , which contains the scalar quantization of sig and depends on the quantization levels and prescribed values in the codebook.

## What are the characteristics of a quantizer?

A quantizer maps an input amplitude to an output amplitude, and the output amplitude takes on one of N allowed values. A good quantizer has a small error term, and a poor quantizer has a large error term.

## What is channel distortion?

distortion, in acoustics and electronics, any change in a signal that alters the basic waveform or the relationship between various frequency components; it is usually a degradation of the signal. Noise added to a signal, either purposely or inadvertently, is sometimes referred to as distortion.

## What are the different types of distortion?

Distortion occurs in six main forms:

- Longitudinal shrinkage.
- Transverse shrinkage.
- Angular distortion.
- Bowing and dishing.
- Buckling.
- Twisting.

## What is rate distortion in causal coding?

Rate distortion. In the context of causal coding, the rate-distortion function r c(D) is defined to be the minimum average transmission rate such that the average distortion is no larger than D.

## What is the rate-distortion function RC(D)?

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. [ 150] that rc ( D) is determined as follows:

## What is rate-distortion theory?

Rate-distortion theory describes the trade-offbetween lossy compression rate and the resulting distortion. University of Illinois at Chicago ECE 534, Fall 2009, Natasha Devroye

## What is the value of the operational sequential rate-distortion function?

Intuitively, the operational sequential rate-distortion function is to minimize the uncertainty of reconstruction while keeping the expected distortion at each time below D. However, it is more difficult to compute the exact value of the operational sequential rate-distortion function since it involves the structures of the quantizers.