Signal Adaptive FIR/IIR Predictors for Minimizing Entropy

A method for determining a general prediction filter for a frame of an input signal, the z-transform of the general prediction filter being representable as a ratio of a first and second finite impulse response, referred to as FIR, filter comprising first and second sets of coefficients, respectively, and approximating the z transform of an intermediate filter, the method comprising:

• determining an adjustable pole parameter and a plurality of FIR coefficients for the intermediate filter, such that an entropy of a frame of a prediction error signal which is derived from the frame of the input signal using the intermediate filter defined by the pole parameter and the plurality of FIR coefficients is reduced, wherein the intermediate filter comprises an FIR filter whose z variable is replaced by the z-transform of an allpass filter, the allpass filter exhibiting a pole defined by the adjustable pole parameter;
• and
• mapping the determined pole parameter and the determined plurality of FIR coefficients for the intermediate filter to the first and second sets of coefficients for the general prediction filter, whereby the general prediction filter is configured to exhibit an infinite impulse response when the adjustable pole parameter is not zero and a finite impulse response when the adjustable pole parameter is zero.

An encoder configured to determine a general prediction filter for a frame of an input signal, the z-transform of the general prediction filter approximating the z transform of an intermediate filter, and being representable as a ratio of a first and second FIR filter comprising first and second sets of coefficients, respectively, wherein the encoder is configured to:

• determine the pole parameter and the plurality of FIR coefficients, such that an entropy of a frame of a prediction error signal which is derived from the frame of the input signal using the intermediate filter defined by the pole parameter and the plurality of FIR coefficients is reduced, wherein the intermediate filter comprises an FIR filter whose z variable is replaced by the z-transform of an allpass filter, the allpass filter exhibiting a pole defined by the adjustable pole parameter;
• and
• map the determined pole parameter and the determined plurality of FIR coefficients for the intermediate filter to the first and second sets of coefficients for the general prediction filter, whereby the general prediction filter is configured to exhibit an infinite impulse response when the adjustable pole parameter is not zero.