Linear

Forward Linear Predictor

Forward Linear Predictor

A forward linear predictor is a filter that attempts to predict the u(n) sample from the previous m samples. Forward predictors are causal, which means they only act on previous results.

  1. What is forward and backward prediction?
  2. How do you find the best linear predictor?
  3. What is linear prediction theory?
  4. What is forward prediction error?

What is forward and backward prediction?

Forward and backward prediction mean that each frame has a specific dependency that mandates processing order and requires buffering of the video frames to allow out-of-sequential order processing. This also introduces multiframe latency in the encoding and decoding process.

How do you find the best linear predictor?

A linear predictor has the form g(x) = β0 + β1x(1) + β2x(2) + ··· + βdx(d). g(x) = βT x. Again, let β∗ minimize R(β) = E(Y − XT β)2. We call l∗(x) = xT β∗ the best linear predictor.

What is linear prediction theory?

Linear prediction is a mathematical operation where future values of a discrete-time signal are estimated as a linear function of previous samples. In digital signal processing, linear prediction is often called linear predictive coding (LPC) and can thus be viewed as a subset of filter theory.

What is forward prediction error?

In this case the prediction error is called the forward prediction error, denoted by ef(n), and the overall filter from the input to output 1 is called a forward prediction error filter.

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