Generalized Noise Patterns for (N+1)/N-factor Non-linear Down-sampling

This paper presents generalized noise patterns for (N+1)/N-factor non-linear down-sampling. In linear downsampling of two or three-factor, one sample is kept and the next one or two samples are discarded. N-samples are kept and the next one is discarded in the discussed (N+1)/N-factor non-linear down-sampling. The paper contains the mathematical reasoning of the generalized noise-patterns of (N+1)/N-factor non-linear down-sampling. The mathematical analysis provides the reason for the generalized behaviors and the simulation results bolster those findings. The knowledge of the generalized error pattern may help future researchers in understanding the noise pattern due to missing samples, interpolation, predictive coding, and noise suppression.