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author | Siddharth Agarwal | 2019-09-03 18:27:40 +0530 |
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committer | Siddharth Agarwal | 2019-09-03 18:27:40 +0530 |
commit | 8ac15bc5efafa2afc053c293152605b0e6ae60ff (patch) | |
tree | e1bc17aae137922b1ee990f17aae4a6cb15b7d87 /Working_Examples/83/CH14/EX14.2 | |
parent | 52a477ec613900885e29c4a0b02806a415b4f83a (diff) | |
download | Xcos_block_examples-master.tar.gz Xcos_block_examples-master.tar.bz2 Xcos_block_examples-master.zip |
Diffstat (limited to 'Working_Examples/83/CH14/EX14.2')
-rwxr-xr-x | Working_Examples/83/CH14/EX14.2/example_14_2.sce | 30 | ||||
-rwxr-xr-x | Working_Examples/83/CH14/EX14.2/result_example_14_2.txt | 36 |
2 files changed, 66 insertions, 0 deletions
diff --git a/Working_Examples/83/CH14/EX14.2/example_14_2.sce b/Working_Examples/83/CH14/EX14.2/example_14_2.sce new file mode 100755 index 0000000..6d7b95d --- /dev/null +++ b/Working_Examples/83/CH14/EX14.2/example_14_2.sce @@ -0,0 +1,30 @@ +//Chapter 14 +//Example 14.2 +//page 534 +//To estimate the values of the random variables x1 and x2 using WLSE +clear;clc; + +w=diag([0.1;1;0.1]); //assumed matrix +H=[1 0;0 1;1 1]; //given matrix +k=inv(H'*w*H)*H'*w; // from eq 14.12b +y=['y1';'y2';'y3']; +Px=k*k'; +k=string(k); +x=[k(1,1)+y(1,1)+k(1,2)+y(2,1)+"+"+k(1,3)+y(3,1) ;k(2,1)+y(1,1)+"+"+k(2,2)+y(2,1)+"+"+k(2,3)+y(3,1)]; +printf('The weighted least square s estimate of the vector x =\n'); +disp(x); +printf('\n\nThe matrix k is in this case found to be \n'); +disp(k); +//covariance of measurement is assumed is assumed to be unit matrix +printf('\n\nThe covariance of the estimation error is obtained as Px=\n'); +disp(Px); + +printf('\n\n\n Now choosing W=1\n'); +w=diag([1;1;1]); //assumed matrix +H=[1 0;0 1;1 1]; //given matrix +k=inv(H'*w*H)*H'*w; // from eq 14.12b +Px=k*k'; +printf('\n\nThe matrix k is in this case found to be \n'); +disp(k); +printf('\n\nThe covariance of the estimation error is obtained as Px=\n'); +disp(Px);
\ No newline at end of file diff --git a/Working_Examples/83/CH14/EX14.2/result_example_14_2.txt b/Working_Examples/83/CH14/EX14.2/result_example_14_2.txt new file mode 100755 index 0000000..71f30e6 --- /dev/null +++ b/Working_Examples/83/CH14/EX14.2/result_example_14_2.txt @@ -0,0 +1,36 @@ + +The weighted least square s estimate of the vector x = + +!0.5238095y1-0.4761905y2+0.4761905y3 ! +! ! +!-0.0476190y1+0.9523810y2+0.0476190y3 ! + + +The matrix k is in this case found to be + +!0.5238095 -0.4761905 0.4761905 ! +! ! +!-0.0476190 0.9523810 0.0476190 ! + + +The covariance of the estimation error is obtained as Px= + + 0.7278912 - 0.4557823 + - 0.4557823 0.9115646 + + + + Now choosing W=1 + + +The matrix k is in this case found to be + + 0.6666667 - 0.3333333 0.3333333 + - 0.3333333 0.6666667 0.3333333 + + +The covariance of the estimation error is obtained as Px= + + 0.6666667 - 0.3333333 + - 0.3333333 0.6666667 + |