Multirate Filtering for Digital Signal Processing: MATLAB Applications
Multirate signal processing techniques are widely used in many areas of modern engineering such as communications, digital audio, measurements, image and signal processing, speech processing, and multimedia.
Multirate Filtering for Digital Signal Processing: MATLAB Applications covers basic and advanced approaches in the design and implementation of multirate filtering. This authoritative volume considers the role of filters in multirate systems, provides efficient solutions of finite and infinite impulse response filters for sampling rate conversion, and discusses examples of multirate multilevel filter banks, offering a must-have book for practitioners and scholars in multirate signal processing.
Why Read This Book
You should read this book if you want a practical, example-driven reference on multirate techniques that shows how to design and implement efficient resamplers, polyphase filters, and multilevel filter banks using MATLAB. It blends theoretical foundations with hands-on MATLAB code so you can quickly prototype and validate multirate systems for audio, speech, and communications applications.
Who Will Benefit
Graduate students, DSP engineers, and practitioners who already know basic discrete-time signals and filters and need to design and implement sampling-rate conversion and filter-bank systems.
Level: Intermediate — Prerequisites: Basic DSP (discrete-time signals, z-transform, frequency response), understanding of FIR/IIR filter design, and basic MATLAB programming skills.
Key Takeaways
- Design efficient sampling-rate converters (up/down samplers and multistage converters) for audio and communications.
- Derive and implement polyphase decompositions to reduce computational cost of multirate systems.
- Create and analyze multilevel and critically sampled filter banks, including conditions for perfect or near-perfect reconstruction.
- Implement FIR and IIR multirate filters in MATLAB and validate performance with example code and simulations.
- Analyze aliasing, imaging, and trade-offs between complexity and frequency-domain performance in multirate architectures.
Topics Covered
- Introduction to Multirate Signal Processing and Applications
- Sampling Rate Conversion: Theory and Basic Converters
- Polyphase Representation and Efficient Implementation
- Design of FIR Filters for Multirate Systems
- IIR Filters and Stability Considerations in Multirate Contexts
- Multistage and Interpolated/Decimated Architectures
- Multirate Multilevel Filter Banks and Subband Coding
- Perfect Reconstruction and Near-Perfect Reconstruction Filter Banks
- Connections to Wavelets and Subband Decomposition
- Practical Design Examples and MATLAB Implementations
- Applications in Audio, Speech, and Communications
- Appendices: MATLAB Routines and Numerical Considerations
Languages, Platforms & Tools
How It Compares
Closer to applied, MATLAB-centered treatments than Vaidyanathan's classic "Multirate Systems and Filter Banks" (which is more theoretical); for hands-on sampling-rate conversion with code, it complements Crochiere & Rabiner's older text on multirate signal processing.
