A decoding method applied to a convolutionally coded signal is provided. The method includes: adjusting first input information according to a first scaling factor to generate first a-priori information; b) decoding the convolutionally coded signal according to systematic information and the first a-priori information to generate first extrinsic information; c) adjusting second input information according to a second scaling factor to generate second a-priori information, wherein the second scaling factor is generated according to the first extrinsic information and the first a-priori information; and d) decoding the convolutionally coded signal according to the systematic information and the second a-priori information to generate second extrinsic information. One of step (b) and step (d) further generates a-posteriori information as a decoding result.

An adaptation engine included in a receiver of a serial data link, including at least one processor configured to: receive an error signal generated by an error slicer included in a decision feedback equalizer (DFE) and a data signal generated by a data slicer included in the DFE, perform a first iterative adaptation process corresponding to the AFE by adjusting a gain of the AFE based on the error signal and the data signal, and perform a second iterative adaptation process corresponding to the AFE by adjusting an degeneration resistance of a degeneration resistor included in the AFE based on the error signal and the data signal.

A decoding method applied to a convolutionally coded signal is provided. The method includes: adjusting first input information according to a first scaling factor to generate first a-priori information; b) decoding the convolutionally coded signal according to systematic information and the first a-priori information to generate first extrinsic information; c) adjusting second input information according to a second scaling factor to generate second a-priori information, wherein the second scaling factor is generated according to the first extrinsic information and the first a-priori information; and d) decoding the convolutionally coded signal according to the systematic information and the second a-priori information to generate second extrinsic information. One of step (b) and step (d) further generates a-posteriori information as a decoding result.

An adaptation engine included in a receiver of a serial data link, including at least one processor configured to: receive an error signal generated by an error slicer included in a decision feedback equalizer (DFE) and a data signal generated by a data slicer included in the DFE, perform a first iterative adaptation process corresponding to the AFE by adjusting a gain of the AFE based on the error signal and the data signal, and perform a second iterative adaptation process corresponding to the AFE by adjusting an degeneration resistance of a degeneration resistor included in the AFE based on the error signal and the data signal.