In this letter, we propose simple bit-error aware lossless compression algorithms for compression and transmission of waveform data in noisy channels. The developed algorithms consist of two stages. The first stage applies linear prediction and the second stage uses the developed residue coder, bi-level block coding or interval entropy coding, in which we show how to choose the optimal coding parameters for compressing the residue sequence from the first stage. We only encode the linear prediction and bi-level block coding or entropy coding parameters using a forward error correction scheme such as (7,4) Hamming codes, leaving residue sequence or residue offset sequence as they are, in order to preserve the performance of compression ratio. Our experiments show that the developed algorithms achieve high compression ratios and the recovered waveforms have a good signal quality when the bit error rate is equal to or less than 0.001.