For an input autocorrelation matrix , what is the optimal step size

The standard Kalman filter operates under a specific set of assumptions for it to be the optimal estimator. Which of the following are core assumptions?

How much time must pass after a mosquito bite before Dirofilaria immitis can be detected?

The following plots are of the error signal in dB at the output of the adaptive filter setup shown above.  The unknown system is an FIR filter of length 10.  The input signal, desired signal, and noise are generated using the following Matlab code x = randn(1500,1); v = g*randn(1500,1); d = filter(h,1,x) + v; Each of the plots below is generated using one of the set of parameters below and an LMS-type adaptive filter of length flen.  Match each set of parameters with the appropriate plot of the error signal.

For the derivation of the classical Wiener filter, what assumption is made about the input signal and the desired signal?

The same object is tracked using a Kalman filter with different process and observation noise matrices,

Assume we want to design the optimal Wiener filter for predicting from .  We know the following:

Which of the following is a basic assumption of the Least Mean Squares (LMS) adaptive filter algorithm?  (select all that apply)

Which of the following factors are used to determine the inflation pressure of a tourniquet?

Between which two anatomical structures should chest rolls span the distance bilaterally?