Multirate Sampling Rate Conversion: Theory and MATLAB Implementation

This article provides a comprehensive exploration of multirate sampling rate conversion through MATLAB implementation and fundamental theoretical principles. Multirate sampling rate conversion represents a crucial signal processing technique for transforming signal sampling rates between different values. This technology holds significant importance in digital signal processing as it enables bandwidth scaling of signals without information loss. The discussion covers core principles and practical applications of multirate conversion, supplemented with detailed MATLAB code examples featuring key functions like resample(), interp(), and decimate() to demonstrate implementation approaches. Furthermore, the article examines various multirate conversion methodologies including polyphase decomposition and filter bank implementations, analyzing their respective advantages and limitations in real-world scenarios through comparative algorithm performance metrics. The conclusion addresses potential future developments in multirate conversion technology, particularly focusing on adaptive filtering implementations and computational efficiency improvements for real-time processing systems.