SUNG JU KIM 1 i = j - i + 1 complex conjugates 5.49 5.50 matrix.

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SUNG JU KIM 1 i = j - i + 1 complex conjugates 식 5.49 식 식 5.50 식 matrix 식식식 식식 식식식 식식 1 1 j

Transcript of SUNG JU KIM 1 i = j - i + 1 complex conjugates 5.49 5.50 matrix.

Page 1: SUNG JU KIM 1 i = j - i + 1 complex conjugates 5.49 5.50 matrix.

SUNG JU KIM 1

i = j - i + 1

complex conjugates

식 5.49 와 식 5.50 을 matrix 형태로 쓰면 다음과 같다

11 j

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vector =>

 -. step-down recursion

the model parameters A set of reflection coefficients The final modeling error

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jth-order polynomial )(zAj

Example 5.2.4 The Step-Down Recursion

third-order FIR filter using a lattice filter structure

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the coefficients of the second-order polynomial 식 5.53 j=2

식 5.52 ->

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-. Schur-Cohn stability test linear shift-invariant filter with a rational system function,

denominator polynomial A (z) 에서 all of the reflection coefficients are less than one in magnitude.

Example 5.2.5 The Schur-Cohn Stability Test

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식 5.53 을 이용하여 다음과 같이 표현한다 .

 ∴ filter is unstable