An analysis of cross points in the low-degree polynomial gains of p-lag unbiased smoothing FIR filters

We address an analysis of the low-degree polynomials gains of the p-lag unbiased smoothing FIR filters. It is shown that such a gain is uniquely specified for unbiased FIR filters depending on the number of system states. An important feature of the p-lag gain is that, at the cross points, it converges to the reduced degree gain. The cross points between the uniform, linear, quadratic, and cubic smoothing unbiased FIR filter gains have therefore been investigated in detail. At these points, a number of simulations have been provided and advantages demonstrated.