A new design for sample-rate converters

This paper proposes a new design methodology for digital filters, interpolators/decimators and sample-rate converters, based on the modern sampled-data control theory. In contrast to the conventional filter designs where the methods are mostly based on frequency domain approximation techniques, the proposed method makes use of the sampled-data H^∞ control theory, thereby allowing for optimizing the intersample behavior and aliasing effects. The novel feature here is that the proposed method can optimize the analog-domain performance over all frequency ranges, thereby guaranteeing a desirable performance without breaking the design problem into several different steps, such as linear phase characteristic, optimal attenuation level design, etc. A design example is presented to show the advantages of the present method