computing device 152 can determine the bit depth n of the original audio input stream 102 the first computing device 152 can extract the most significant bit the n u2212 1 bit for each n bit sample in the sub sampled data to generate a residual data signal in data block 104 a where the first computing device 152 can additionally compress the data in the data block 104 a the transmitter can generate a subsequent data block at the sub sample rate that can increase the bit depth of the reconstructed residual data signal generated by the receiver for example the first computing device 152 generates compresses and transmits the n u2212 2 bit of each n bit sample at the 4 khz sub sample rate alternatively the transmitter can generate a subsequent data block at a higher sub sample rate and the same bit depth that can increase the sample rate of the reconstructed residual data signal generated by the receiver for example the first computing device 152 generates compresses and transmits the most significant bit the n u2212 1 bit of each n bit sample at an 8 khz sub sample rate the transmitter can alternate between transmitting data blocks that can either increase the bit depth of the reconstructed residual data signal or increase the sample rate of the reconstructed residual data signal until the sample rate and bit depth of the reconstructed data signal equal the sample rate and bit depth of the original audio input stream the transmitter can pre determine the order in which to increase the sample rate and bit depths in order to maximize the incremental recognition accuracy achieved by each residual.