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Nonuniform Sampling Theory in Audio Signal Processing

The goal of most sampling schemes is to sample the analogue signal of interest at a regular rate sufficiently high to ensure a perfect reconstruction principle in theory. Indeed, analysis and subsequent signal processing is almost always predicated on this requirement. However, the assumption of uniformly spaced samples is often invalidated in practice. Here, we describe nonuniform sampling theory, which provides a framework for the investigation and analysis of such cases. We review aspects of the theory and describe how it may be applied to practical problems of interest in audio signal processing, including those of wow and flutter in the analogue domain as well as jitter in the digital domain.

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