Bilinear noise cancellation

We address the problem of noise cancellation with bilinear filters. These filters have infinite memory and degree. It is shown how to modify the equation error bilinear filter to use it in the context of noise cancellation. This truncated filter has good properties of convergence but theoretically yield biased results. These results are compared with that of output error bilinear filters (which are unbiased but may converge to local minima). Both of them prove much better than linear noise cancellation in a sonar real case study.