Turbo decoding system using NTH root metrics for non-Gaussian communication channels

A turbo decoding communication system for communicating a data signal using phase shift keying (PSK) signaling over a non-Gaussian communication channel, the system comprising,

• a turbo encoder for encoding the data signal into an encoded signal,
• a PSK modulator for generating a PSK modulated signal from the encoded signal, the PSK modulated signal being communicated over the non-Gaussian communication channel,
• a PSK demodulator for demodulating the PSK modulated signal into a PSK demodulated signal providing non-Gaussian metrics,
• an nth root transformer for transforming the non-Gaussian metrics into near Gaussian metrics where n does not equal one nor equal infinity,
• a turbo decoder for decoding the near Gaussian metrics into the data signal, the turbo decoder decoding the near Gaussian metrics into the data signal using a Gaussian characterization for characterizing the communication channel, and
• a decoder reference for providing a Gaussian mean and a Gaussian standard deviation to the turbo decoder for decoding the near Gaussian metrics into the data signal, the Gaussian mean and Gaussian standard being the Gaussian characterization.

A turbo decoding communication system for communicating a data signal using differential coherent phase shift keying (DPSK) signaling over a non-Gaussian communication channel, the system comprising,

• a turbo encoder for encoding the data signal into an encoded signal,
• a DPSK modulator for generating a DPSK modulated signal from the encoded signal, the DPSK modulated signal being communicated over the non-Gaussian communication channel,
• a DPSK demodulator for demodulating the DPSK modulated signal into a DPSK demodulated signal providing non-Gaussian metrics, and
• a square root transformer for transforming the non-Gaussian metrics into near Gaussian metrics where n does not equal one nor equal infinity,
• a turbo decoder for decoding the Gaussian metrics into the data signal, the turbo decoder decoding the near Gaussian metrics into the data signal using a Gaussian characterization for characterizing the communication channel, and
• a decoder reference for providing a Gaussian mean and a Gaussian standard deviation to the turbo decoder for decoding the near Gaussian metrics into the data signal, the Gaussian mean and Gaussian standard deviation being the Suasion characterization.