1 Introduction. - 1. 1 Background. - 1. 2 Iteration Bound and Retiming. - 1. 3 Pipelining. - 1. 4 Outline. - 2 Pipeline Interleaving in Digital Filters. - 2. 1 Inefficient Single/Multi-Channel Interleaving. - 2. 2 Efficient Single-Channel Interleaving. - 2. 3 Efficient Multi-Channel Interleaving. - 3 Pipelining Direct Form Recursive Digital Filters. - 3. 1 Clustered Look-Ahead Pipelining. - 3. 2 Stable Clustered Look-Ahead Filter Design. - 3. 3 Scattered Look-Ahead Pipelining Without Decomposition. - 3. 4 Scattered Look-Ahead Pipelining with Power-of-Two Decomposition. - 3. 5 Scattered Look-Ahead Pipelining With General Decomposition. - 3. 6 Constrained Filter Design Techniques. - 3. 7 Linear Bidirectional Systolic Array Architectures. - 3. 8 FIR versus IIR Filters. - 3. 9 Pipelining in State Space Filters. - 3. 10 Low-Power Direct Form Filters. - 4 Roundoff Noise In Pipelined Recursive Digital Filters. - 4. 1 Introduction. - 4. 2 Scaling and Roundoff Noise. - 4. 3 SVD of IIR Filters. - 4. 4 Scaling and Roundoff Noise Computation Using SVD. - 4. 5 Roundoff Noise in Pipelined IIR Filters. - 4. 6 Roundoff Noise Computation Examples Using SVD. - 5 Schur Algorithm. - 5. 1 Introduction. - 5. 2 Computation of Schur Polynomials. - 5. 3 An Inner Product Formulation. - 5. 4 Orthogonality of Schur Polynomials. - 5. 5 Orthonormality of Schur Polynomials. - 5. 6 (i j) Orthonormality of Reverse Schur Polynomials. - 5. 7 Polynomial Expansion Algorithm. - 5. 8 Power Calculation Using Schur Algorithm. - 6 Digital Lattice Filter Structures. - 6. 1 Introduction. - 6. 2 Derivation of Basic Lattice Filter. - 6. 3 Derivation of One-Multiplier Lattice Filter. - 6. 4 Derivation of Normalized Lattice Filter. - 6. 5 Derivation of Scaled Normalized Lattice Filter. - 6. 6 Roundoff Noise Calculation in Lattice Filters. - 7 Pipelining of Lattice IIR Digital Filters. - 7. 1Introduction. - 7. 2 Pipelining Property of the Schur Algorithm. - 7. 3 Pipelining of Lattice IIR Digital Filters. - 7. 4 Design Examples of Pipelined Lattice Filters. - 7. 5 Pipelining Levels and Output Roundoff Noise. - 7. 6 Low-Power CMOS Implementation of Lattice IIR Filters. - 8 Pipelining of Orthogonal Double-Rotation Digital Lattice Filters. - 8. 1 Introduction. - 8. 2 Synthesis of ODR Digital Lattice Filters. - 8. 3 Pipelining of ODR Digital Lattice Filters. - 8. 4 Examples of Pipelined ODR Digital Lattice Filters. - 9 Pipelined Lattice WDF Design for Wideband Digital Filters. - 9. 1 Introduction. - 9. 2 Direct Lattice WDF Synthesis in Digital Domain. - 9. 3 Roundoff Noise Characteristics of WDFs. - 9. 4 Pipelining by DIFIR Method. - 9. 5 MF FIR and Linear Phase IIR Filters. - 9. 6 Examples of Pipelined Lattice WDFs. - 10 Synthesis and Pipelining of Ladder WDFs in Digital Domain. - 10. 1 Introduction. - 10. 2 Classical Doubly-Terminated Lossless Network. - 10. 3 WDF Adaptors. - 10. 4 Synthesis of Ladder WDFs. - 10. 5 Synthesis of Pipelinable Ladder WDFs. - A Appendix A: Derivation of (3. 3) (3. 5) and (3. 23). - A. 2 Pipelining with Clustered Look-Ahead. - A. 3 Derivation of (3. 23). - B Derivation of Case (A) in Section 10. 4. - C Derivation of Case (E) in Section 10. 4. - C. 1 General. - C. 2 Computation of 713. - C. 3 Computation of 702 and 712. - C. 4 Computation of 7n. - References. Language: English