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@?Ui AiLh) @? i|L L*L}) Lu A@U| U@* tti| **L U@| L?charvey/Teaching/BA453_2003/Leex.pdfˇ@T|ih † W?|hL_U| L? A@U| U@*@tti|@**LU@| L?EA˝T*@)t@? 4TLh|@?|hL*i ? ? it|4i?|4@? @}i4i?|

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Page 1: @?Ui AiLh) @? i|L L*L}) Lu A@U| U@* tti| **L U@| L?charvey/Teaching/BA453_2003/Leex.pdfˇ@T|ih † W?|hL_U| L? A@U| U@*@tti|@**LU@| L?EA˝T*@)t@? 4TLh|@?|hL*i ? ? it|4i?|4@? @}i4i?|

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2 A@U|�U@* �tti| �**LU@|�L?G � �Lh|uL*�L A�iLh) �ihtTiU|��i 2�2�� W?|hL_�U|�L? � � � � � � � � � � � � � � � � � � � � � � � � � � � � 2�2�2 �Lh4@|��i A@U|�U@* �tti| �**LU@|�L? �? A�iLh) � � � � � � � � � 2e

2�2�� ��*|���ih�L_ �Lh|uL*�L @?_ �L?t�4T|�L? ��L�Ui � � � � 2D2�2�2 �)LT�U @?_ W?|ih|i4TLh@* Oi_}�?} �L4TL?i?|t � � � � 2H2�2�� �T|�4@* A@U|�U@* �tti| �**LU@|�L? +�*i � � � � � � � � � �f2�2�e 5L*��?} |�i �T|�4@* A@U|�U@* �tti| �**LU@|�L? +�*i � � �22�2�D `�@| Wt A�� �}@�?q � � � � � � � � � � � � � � � � � � � ��2�2�S ,^���@*i?Ui Lu W?|ih|i4TLh@* @?_ �)LT�U 5|h@|i}�it � � �e

2�� �Lt�|��i A@U|�U@* �tti| �**LU@|�L? �? �h@U|�Ui � � � � � � � � � � �D2���� AL|@* +i|�h?%AL|@* +�t! �ihtTiU|��i � � � � � � � � � � �.2���2 �U|��i +i|�h?%�U|��i +�t! �ihtTiU|��i � � � � � � � � � eD

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��S�� �L?UiT|�@* N?_ihT�??�?}t � � � � � � � � � � � � � � � � Se��S�2 W4T*i4i?|@|�L? � � � � � � � � � � � � � � � � � � � � � � SD��S�� �L|i?|�@* #h@�M@U!t Lu O� Ait| � � � � � � � � � � � � SS��S�e +i�?i_ O� Ait|G ��4M)��L_it| Ait| � � � � � � � � � SS��S�D �L|i?|�@* #h@�M@U!t Lu �� Ait| � � � � � � � � � � � � S.

��. �TT*�U@|�L?t Lu �ihuLh4@?Ui �i@t�hit � � � � � � � � � � � � � S.��.�� A�i RwL��6hi^�i?U)� @?_ RO�}��6hi^�i?U)� 5�}?@*t � SH��.�2 �ihuLh4@?Ui �i@t�hit Lu |�i 5�}?@*t � � � � � � � � � � .�

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e �ihuLh4@?Ui ��@h@U|ih�t|�Ut ..e�� W?|hL_�U|�L? � � � � � � � � � � � � � � � � � � � � � � � � � � � � ..e�2 �@�? 6�?_�?}t � � � � � � � � � � � � � � � � � � � � � � � � � � � .He�� �T|�4@* A@U|�U@* �i| � � � � � � � � � � � � � � � � � � � � � � � Hfe�e �ihuLh4@?Ui ��@h@U|ih�t|�Ut � � � � � � � � � � � � � � � � � � � H2

e�e�� ��ih@}i A@U|�U@* �i| � � � � � � � � � � � � � � � � � � � H�e�e�2 V@h�@?Ui Lu A@U|�U@* �i| � � � � � � � � � � � � � � � � � H�e�e�� AL|@* �*T�@ � � � � � � � � � � � � � � � � � � � � � � � � Hee�e�e Ah@U!�?} ,hhLh � � � � � � � � � � � � � � � � � � � � � � Hbe�e�D W?uLh4@|�L? +@|�L � � � � � � � � � � � � � � � � � � � � � b�e�e�S O�| +@|�L � � � � � � � � � � � � � � � � � � � � � � � � � bSe�e�. 5!i�?itt � � � � � � � � � � � � � � � � � � � � � � � � � � bS

e�D �@ti 5|�_)G O�}��6hi^�i?U) 5�}?@* � � � � � � � � � � � � � � � bHe�S ,�@*�@|�?} A�� �@?@}iht � � � � � � � � � � � � � � � � � � � � �f�e�. �L?U*�_�?} +i4@h!t � � � � � � � � � � � � � � � � � � � � � � � �fSe�H �TTi?_� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �f.

D ��@t A�ih@T)G A�iLh) Lu 5�}?@* 6�*|ih�?} ���D�� W?|hL_�U|�L? � � � � � � � � � � � � � � � � � � � � � � � � � � � � ���D�2 ��@t �? A@U|�U@* �i| � � � � � � � � � � � � � � � � � � � � � � � � ���D�� ��|�}@|�?} |�i ��@t ��|� 5�}?@* 6�*|ih�?} � � � � � � � � � � � � ��DD�e ��@?}it �? 5�}?@* �iht�t wi�i*t Lu 5�}?@* � � � � � � � � � � � � ��SD�D ,giU|t L? W?uLh4@|�L? +@|�L @?_ �*T�@ � � � � � � � � � � � � � ��.D�S ,giU|t L? VL*@|�*�|) Lu �i|t � � � � � � � � � � � � � � � � � � � �2eD�. �L4T@h�tL?t Lu �ihuLh4@?Ui � � � � � � � � � � � � � � � � � � � �2H

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S �T|�4@* �}}hitt��i?itt 6@U|Lht ��bS�� W?|hL_�U|�L? � � � � � � � � � � � � � � � � � � � � � � � � � � � � ��bS�2 �@ti Lu ��*|�T*i �@�h��ti �i|t � � � � � � � � � � � � � � � � � � �e�

S�2�� 6Lh4�*@|�L? Lu �hLM*i4 � � � � � � � � � � � � � � � � � �e2S�2�2 #i�?�|�L?t � � � � � � � � � � � � � � � � � � � � � � � � � �e�

S�� �T|�4@* �}}hitt��i?itt 6@U|Lht � � � � � � � � � � � � � � � � � �eDS�e �*|ih?@|��i W?|ihThi|@|�L?t � � � � � � � � � � � � � � � � � � � � �ebS�D �@ti 5|�_�it � � � � � � � � � � � � � � � � � � � � � � � � � � � � �D2

S�D�� 5|LU!��L?_��@t� �tti| �**LU@|�L? � � � � � � � � � � � �D2S�D�2 �T|�4@* �� Lu �@?@}iht � � � � � � � � � � � � � � � � �DDS�D�� ��*|�T*i 5�}?@*t � � � � � � � � � � � � � � � � � � � � � � �DDS�D�e OL� �@?) 5�}?@*tq OL� �@?) �i|tq � � � � � � � � � � �DSS�D�D 5|h�U|�h@* �i|tq � � � � � � � � � � � � � � � � � � � � � � �S�

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k = 0.90Unbiased 0.77% 1.13% 0.68 56.4% 0 8%Bias = + µy 0.87% 1.21% 0.72 56.8% 2.9% 8%Bias = + 0.5 µy 0.82% 1.15% 0.71 56.7% 1.4% 8%Bias = - 0.5 µy 0.71% 1.15% 0.62 55.8% -1.6% 8%Bias = - µy 0.66% 1.21% 0.55 55.0% -3.1% 8%Filter: m = 36 0.58% 1.07% 0.54 55.1% 0 7.6%Filter: m = 72 0.67% 1.12% 0.62 55.6% 0 7.9%Filter: m = 108 0.70% 1.13% 0.62 55.9% 0 8%Filter: m = 144 0.72% 1.13% 0.64 56.0% 0 8%

k = 0.95Unbiased 0.77% 1.13% 0.68 56.4% 0 8%Bias = + µy 0.87% 1.21% 0.72 56.8% 2.9% 8%Bias = + 0.5 µy 0.82% 1.15% 0.71 56.7% 1.4% 8%Bias = - 0.5 µy 0.71% 1.15% 0.62 55.8% -1.6% 8%Bias = - µy 0.66% 1.21% 0.55 55.0% -3.1% 8%Filter: m = 36 0.43% 0.94% 0.45 54.2% 0 6.7%Filter: m = 72 0.57% 1.06% 0.54 55.0% 0 7.5%Filter: m = 108 0.63% 1.09% 0.58 55.4% 0 7.8%Filter: m = 144 0.67% 1.11% 0.60 55.6% 0 7.9%

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