Quadrature mirror filters, low crest factor arrays, functions achieving optimal uncertainty principle bounds, and complete orthonormal sequences -- a unified approach

DOI10.1006/acha.1994.1013zbMath0802.42023OpenAlexW2073790599MaRDI QIDQ1331828

J. S. Byrnes

Publication date: 29 August 1994

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1994.1013

zbMATH Keywords

Walsh functionsuncertainty principlequadrature mirror filterscomplete orthonormal sequenceslow crest factor arrays

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (7)

The uncertainty principle: A mathematical survey ⋮ Uncertainty principles for orthonormal sequences ⋮ On the Rudin-Shapiro transform ⋮ Noiselets ⋮ Smooth PONS ⋮ Wavelets generated by the Rudin-Shapiro polynomials ⋮ Local spectral analysis using wavelet packets

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