a) What is the minimum number of the observations? b) Assume that we have some parametric observations as U =[u(1),u(2),u(3),u(4),u(5),u(6),u(7),u(8)F Y = [y (1),y (2),y (3),y (4), y (5),y (6),y (7),y (8)] Considering whole steps of the mentioed method such as initial selection and updating of the parameters' value (two updating steps is sufficient without considering the initialization step), write all the necessary relations and parameters in respect to the obserations in a parametric and simplified form as possible. 高三 IBA 7 68°F Mostly sunny 909 hp

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Final Exam [Sunday 2022-02-20 (February 20), 18-20:45 o'clock (Tehran time)] /u/50_1522108_4001
Using the nonlinear programming (steepest decent) method, we want to estimate the parameters of an
ARMAX model whose polynoomials are given in the following.
A(q¹)=1+qq¹ + a₂q² + a₂q³
v(1)
B(q¹)=bq¹
C(q-¹)
C(q) = 1+q₁q¹ +c₂q²
u(t)
y (t)
B (q¹)
A(g-¹)
a) What is the minimum number of the observations?
b) Assume that we have some parametric observations as
U
=[u(1),u(2),u(3),u(4),u(5),u(6),u(7),u(8)]
Y = [y (1),y (2),y (3),y (4), y (5),y (6),y (7), y (8)
Considering whole steps of the mentioed method such as initial selection and updating of the parameters'
value (two updating steps is sufficient without considering the initialization step), write all the necessary
relations and parameters in respect to the obserations in a parametric and simplified form as possible.
Ⓒ $3 % E
I B
A
7
C
مقرراتي
شناسايي سيستم_1522108_50
سرواتي الدراسية
68°F Mostly sunny
¤
Transcribed Image Text:K + Final Exam [Sunday 2022-02-20 (February 20), 18-20:45 o'clock (Tehran time)] /u/50_1522108_4001 Using the nonlinear programming (steepest decent) method, we want to estimate the parameters of an ARMAX model whose polynoomials are given in the following. A(q¹)=1+qq¹ + a₂q² + a₂q³ v(1) B(q¹)=bq¹ C(q-¹) C(q) = 1+q₁q¹ +c₂q² u(t) y (t) B (q¹) A(g-¹) a) What is the minimum number of the observations? b) Assume that we have some parametric observations as U =[u(1),u(2),u(3),u(4),u(5),u(6),u(7),u(8)] Y = [y (1),y (2),y (3),y (4), y (5),y (6),y (7), y (8) Considering whole steps of the mentioed method such as initial selection and updating of the parameters' value (two updating steps is sufficient without considering the initialization step), write all the necessary relations and parameters in respect to the obserations in a parametric and simplified form as possible. Ⓒ $3 % E I B A 7 C مقرراتي شناسايي سيستم_1522108_50 سرواتي الدراسية 68°F Mostly sunny ¤
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