Waveform retracking is the process by which a simple mathematical model is fitted to altimeter returns. Over the ocean the waveform location, amplitude and shape can be fitted by models with 3-5 free parameters, which may in turn be linked to geophysical properties of the surface of interest principally sea surface height, wave height and normalized backscatter strength (0 , related to wind speed). However random multiplicative noise, which is due to the summation of power from multiple differently orientated surfaces, produces errors in the estimation of these model parameters. Examination of the correlations among parameters estimated for each waveform leads to simple empirical corrections that reduce the waveformto-waveform noise in geophysical estimates, resulting in smoother (and more realistic) along-track profiles of 0 and sea surface height. These adjustments are fundamentally dependent upon the waveform model and retracker implemented, but when applied show improved agreement between near-simultaneous measurements from different altimeter missions. The effectiveness of these empirical adjustments is documented fully for MLE-4 retracking of the Jason-3 altimeter, with reduction in the 1-second variance of 0 by 97%. However, the ideas are applicable and beneficial for data from other altimeters, with small improvements in 0 for MLE-3 and for AltiKa at Ka-band, whilst reductions in range variance of ⇠40% are noted for most retrackers evaluated.