Modulo lattice additive noise channel for QIM watermarking

Information embedding has recently been recognized as power-limited communication over a "super"-channel with state information non-causally known at the encoder. Based on this equivalence many encoding schemes have been proposed. Quantization index modulation (QIM) family has emerged as an asymptotically information-theoretically optimal embedding function. Optimum transmission rates are achieved when both the watermark-to-noise ratio (WNR) and quantizers dimensionality become sufficiently large. At low WNR however, a trade-off between transmission rate and robustness should be found. This paper is concerned with deriving lattice encoding performances over the resulting modulo lattice additive noise channel (MLAN) for both high and low WNR regimes. To this end, some lattices with good packing and quantizing properties are used and corresponding capacity and bit-error rate (BER) curves are provided for both regular QIM, and distortion-compensated QIM.