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ECE 485 Lesson 2

# ECE 485 Lesson 2 - ECE 485 Advanced Engineering Mathematics...

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ECE 485 Advanced Engineering Mathematics Lesson 2 System of Linear Algebraic Equations Gauss and Gauss-Jordan Elimination Methods

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2 Digital Filter Digital Filter h(n) δ (n) h(n) ( 29 = = 0 for 0 0 for 1 n n n δ Unit impulse sequence or unit sample Unit impulse response Unit sample response
3 Matrix Form of Input-Output Relationship ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 = 1 0 2 0 1 2 0 1 0 0 3 2 1 0 x x h h h h h h y y y y Toeplitz Matrix

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4 Numerical Example from Lesson 1 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 3, 1 2, 2 1 0 1, 1 1 0 3 0 3 1 2 3 1 5 2 1 2 1 3 3 0 1 1 h h h x x y y y y = = = = = �� �� �� �� = = �� �� �� �� ��
5 Determination of Input from the Output ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 0 3 3 0 3 0 2 0 3 1 5 0 1 2 3 5 1 0 2 1 3 1 1 1 2 3 1 1 0 1 1 x x x x x x x x x x = �� �� + = = ��

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ECE 485 Lesson 2 - ECE 485 Advanced Engineering Mathematics...

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