A method of receiving an audio signal represented by a digital signal, comprising: detecting a point of a constellation associated with a digital modulation scheme in the digital signal from a received radio frequency signal; detecting a noise power of the digital signal; generating hard bits based on the detected point of the constellation; generating soft bits based on the detected point of the constellation and the detected noise power, wherein generating the soft bits comprises determining an approximate log likelihood ratio indicating a confidence in a strength of the generated hard bits; determining whether to decode the digital signal into a digital audio signal, based on the soft bits, wherein determining whether to decode the digital signal into the digital audio signal comprises: decoding the digital signal into codeword bits; identifying a first subset of the codeword bits representing a high perceptual importance of the audio signal and a second subset of the codeword bits representing a low perceptual importance of the audio signal; generating a codeword including the hard bits, if the magnitude of the approximate log likelihood ratio associated with the first subset is greater than or equal to a predetermined threshold; and generating the codeword with zero sample bits, if the magnitude of the approximate log likelihood ratio associated with the first subset is less than the predetermined threshold; and generating the codeword including the hard bits and the zero sample bits, if the magnitude of the approximate log likelihood ratio associated with the second subset is less than the predetermined threshold; generating the digital audio signal based on the codeword, if it is determined to decode the digital signal into the digital audio signal; and muting the digital audio signal, if it is determined not to decode the digital signal into the digital audio signal. detecting a point of a constellation associated with a digital modulation scheme in the digital signal from a received radio frequency signal; detecting a noise power of the digital signal; generating hard bits based on the detected point of the constellation; generating soft bits based on the detected point of the constellation and the detected noise power, wherein generating the soft bits comprises determining an approximate log likelihood ratio indicating a confidence in a strength of the generated hard bits; decoding the digital signal into codeword bits; identifying a first subset of the codeword bits representing a high perceptual importance of the audio signal and a second subset of the codeword bits representing a low perceptual importance of the audio signal; generating a codeword including the hard bits, if the magnitude of the approximate log likelihood ratio associated with the first subset is greater than or equal to a predetermined threshold; and generating the codeword with zero sample bits, if the magnitude of the approximate log likelihood ratio associated with the first subset is less than the predetermined threshold; and generating the codeword including the hard bits and the zero sample bits, if the magnitude of the approximate log likelihood ratio associated with the second subset is less than the predetermined threshold; generating the digital audio signal based on the codeword, if it is determined to decode the digital signal into the digital audio signal; and muting the digital audio signal, if it is determined not to decode the digital signal into the digital audio signal.