Algorithm 1 The pseudo-code for the bin assignment step

Calculate the absolute values of ${\mathrm{G}}_{\mathrm{y}}$ and ${\mathrm{G}}_{\mathrm{x}}$ Store the sign of (${\mathrm{G}}_{\mathrm{y}}$)×(${\mathrm{G}}_{\mathrm{x}}$) in the sign bit Calculate the scaled logarithms of ${\mathrm{G}}_{\mathrm{y}}$ and ${\mathrm{G}}_{\mathrm{x}}$ Based on the log value, map to the −90 to 0 degrees bins if the sign bit is negative Based on the log value, map to the 0 to +90 degrees bins if the sign bit is positive