Multirate Digital Signal Processing: Multirate Systems - Filter Banks - Wavelets
Provides a thorough and accessible introduction to the fast--growing area of multirate digital signal processing covering both the fundamental theory and the practical applications. The key characteristic of multirate algorithms is their high computational efficiency, and hence their increasing implementation in a range of applications from digital audio broadcasting to multi--carrier data transmission and subband speech coding. This book gives a comprehensive analysis of the subject and features include: aeo A summary of the key properties of those filters which employ multirate techniques including cascaded multirate filters, multirate complementary filters, and interpolated FIR filters aeo An assessment of the properties of various digital filter banks, such as quadratur mirror, parunitary, biorthogonal, modulated, polyphase, and multicomplementary filter banks aeo Design methodologies for multirate filters and filter banks aeo An examination of the discrete wavelet transform using filter banks, the construction of wavelets and examples of wavelet systems aeo A complete overview of current applications and a look ahead towards the future developments in the field This book will be invaluable for advanced students in electronics and computer science. It will also be useful for practising electronics and communications engineers and physicists working in industry.
Why Read This Book
You should read this book if you need a single-volume, engineering-focused treatment of multirate DSP that bridges rigorous theory and practical filter-bank/wavelet design. It teaches efficient structures (polyphase, multistage) and perfect-reconstruction filter bank methods you can apply to audio, speech, and communications problems.
Who Will Benefit
Graduate students and practicing DSP engineers designing filter banks, subband coders, multicarrier transmitters, or wavelet-based systems who want a solid theoretical grounding plus practical design guidance.
Level: Advanced — Prerequisites: Signals and systems (Fourier and z-transforms), basic digital filter design (FIR/IIR), and linear algebra; familiarity with discrete-time system analysis.
Key Takeaways
- Apply polyphase decomposition and Noble identities to construct computationally efficient interpolation/decimation structures.
- Design and analyze perfect-reconstruction analysis/synthesis filter banks (including QMF and M-channel banks).
- Implement multistage and tree-structured subband systems and evaluate aliasing, imaging, and complexity trade-offs.
- Relate filter bank designs to wavelet transforms and design wavelet (orthogonal and biorthogonal) filters.
- Use multirate techniques in practical applications such as subband speech coding, digital audio broadcasting, and multicarrier transmission.
- Evaluate and synthesize paraunitary and near-perfect-reconstruction filter-bank solutions for robust implementations.
Topics Covered
- Introduction and motivation for multirate processing
- Decimation and interpolation: fundamentals and properties
- Polyphase representation and Noble identities
- Efficient multirate filter structures and implementations
- Alias cancellation, imaging, and multirate analysis
- Two-channel filter banks and quadrature mirror filters (QMF)
- M-channel and paraunitary filter bank theory
- Perfect-reconstruction analysis and synthesis
- Prototype filter design and optimization methods
- Tree-structured filter banks and subband coding
- Wavelets and multiresolution analysis
- Design of orthogonal and biorthogonal wavelet filters
- Implementation issues, complexity and numerical considerations
- Applications: audio coding, speech, DAB, and multicarrier systems
Languages, Platforms & Tools
How It Compares
Fliege presents a modern, accessible engineering approach compared with Vaidyanathan's more theory-heavy 'Multirate Systems and Filter Banks' and the classic tutorial style of Crochiere & Rabiner's Multirate work.
