The paper introduces a class of bandpass filters called Generalized Auditory Filters (GAFs), which are represented as second-order filters raised to non-unitary exponents. This allows for three degrees of freedom in the filter design, compared to the single degree of freedom in classical second-order bandpass filters.
The key aspects of the proposed filter design method are:
Derivation of expressions to directly relate the filter constants (pole locations and exponent) to various frequency-domain filter characteristics, such as peak frequency, bandwidth, quality factor, group delay, and phase accumulation.
Inversion of these expressions to parameterize the filters in terms of the desired filter characteristics, rather than the filter constants. This allows for direct specification of the target filter behavior without the need for iterative optimization.
Demonstration of the accuracy of the characteristics-based design approach for both Auditory Filters (a subset of GAFs that mimic cochlear signal processing) and classical second-order bandpass filters.
Discussion of the applicability of the proposed design method to related bandpass and multi-band filters, beyond just the GAF representation.
The ability to directly design filters based on desired characteristics is particularly valuable for applications like filterbanks, where both frequency selectivity and synchronization between filters are important design considerations.
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by Samiya A Alk... at arxiv.org 04-25-2024
https://arxiv.org/pdf/2404.15321.pdfDeeper Inquiries