📄 simple_pdaf_filtering.m
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function [x, V] = Simple_PDAF_Filtering(y, F, H, Q, R, init_x, init_V)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% PDAF filter.
% [x, V] = kalman_filter(y, F, H, Q, R, init_x, init_V)
%
% Inputs:
% y(:,ClutPointNum,t) - the observation at time t
% F - the system matrix for model m
% H - the observation matrix for model m
% Q - the system covariance for model m
% R - the observation covariance for model m
% init_x(:,m) - the initial state for model m
% init_V(:,:,m) - the initial covariance for model m
%
% Outputs:
% x(:,t) = E[X_t | t]
% V(:,:,t) = Cov[X_t | t]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[os,ClutPointNum,T] = size(y);
ss = size(F,1);
x = zeros(ss, T);
V = zeros(ss, ss, T);
for t=1:T
if t==1
prevx = init_x;
prevV = init_V;
initial = 1;
else
prevx = x(:,t-1);
prevV = V(:,:,t-1);
initial = 0;
end
[x(:,t), V(:,:,t)] = Simple_PDAF_Update(F, H, Q, R, y(:,:,t), prevx, prevV, initial);
end
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