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3. A 2-channel maximally decimated filter bank structure is shown in which the analysis filter bank is directly connected to the synthesis filter bank. The input and output signals are x[n] and [n] with corresponding z-transforms X(z) and X(2) respectively X(z) Ho(z) H₁(z) Xo(z) |X₁ (2) 42 42 Vo(z) V₁(z) 12 12 Yo(z) Y₁(z) Fo(z) Fe(z) X(z) Deduce expressions for Xo(2), X1(2), 0(2), V₁(2), Yo(z) and Y₁(z) in terms of X(z).

3. A 2-channel maximally decimated filter bank structure is shown in which the analysis filter bank is directly connected to the synthesis filter bank. The input and output signals are x[n] and [n] with corresponding z-transforms X(z) and X(2) respectively X(z) Ho(z) H₁(z) Xo(z) |X₁ (2) 42 42 Vo(z) V₁(z) 12 12 Yo(z) Y₁(z) Fo(z) Fe(z) X(z) Deduce expressions for Xo(2), X1(2), 0(2), V₁(2), Yo(z) and Y₁(z) in terms of X(z).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3. A 2-channel maximally decimated filter bank structure is shown in which the analysis filter bank is directly connected to the synthesis filter bank. The input and output signals are r[n] and î[n] with corresponding z-transforms X(z) and X(z) respectively X(z) Ho(z) H₁(z) Xo(z) |X₁(z) ↓2 42 Vo(z) V₁(z) 12 12 Yo(z) Y₁(z) Fo(z) Fe(z) X(z) Deduce expressions for Xo(2), X1(2), 0(2), V₁(2), Yo(2) and Y₁(z) in terms of X(2).
Transcribed Image Text:3. A 2-channel maximally decimated filter bank structure is shown in which the analysis filter bank is directly connected to the synthesis filter bank. The input and output signals are r[n] and î[n] with corresponding z-transforms X(z) and X(z) respectively X(z) Ho(z) H₁(z) Xo(z) |X₁(z) ↓2 42 Vo(z) V₁(z) 12 12 Yo(z) Y₁(z) Fo(z) Fe(z) X(z) Deduce expressions for Xo(2), X1(2), 0(2), V₁(2), Yo(2) and Y₁(z) in terms of X(2).
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