1 Introduction. - 1. 1 Introduction. - 1. 2 Brief overview of Observer theory. - 1. 3 Overview of the Chapters. - 1. 4 Notation. - 2 Feedback-Based Orthogonal Filter Structure. - 2. 1 Introduction. - 2. 2 Development of filter structure. - 2. 3 Finite wordlength effects. - 2. 4 Relationship to alternative approaches. - 2. 5 Discussion. - 3 Time-Recursive Transform Computation. - 3. 1 Introduction. - 3. 2 Signal Representations and Transformations. - 3. 3 A Common Framework for Recursive Transforms. - 3. 4 Transform domain digital signal processing. - 3. 5 Fast algorithms for recursive transformations. - 3. 6 Discussion. - 4 Spectral Estimation. - 4. 1 Introduction. - 4. 2 Preliminaries. - 4. 3 Development of the Pseudo-Gradient-Based Adaptive Algorithm. - 4. 4 Tracking of periodic signals. - 4. 5 Spectral Analysis of Short Data-Segments. - 4. 6 Hyperstable Adaptation. - 4. 7 Simulations. - 4. 8 Discussion. - 5 Hardware Implementation. - 5. 1 Introduction. - 5. 2 Bit-Serial Implementation. - 5. 3 Bit-Parallel Implementation. - 5. 4 Analog Implementation. - 5. 5 Discussion. - A Allpass Decomposition. - A. 1 Circuit-theoretic interpretation. - A. 2 Other transfer functions. - B Wave Digital Filter Structures. - C Orthogonal2 Filter Structures. - D Hyperstable Adaptive Filter. - E Bit-Serial Arithmetic Building Blocks. Language: English