Doru Florin CHIPER1, Radu MATEI2
Abstract. An analytical synthesis technique in the frequency domain is proposed for a particular class of 2D filters, namely circular wide-band low-pass FIR filters. The design starts from a low-pass prototype filter which is ideally maximally flat, with specified bandwidth, based on hyperbolic tangent function. This is approximated as a trigonometric polynomial using a change of variable and the Chebyshev series, thus obtaining the factored frequency response of the FIR filter prototype. Applying a specific frequency mapping derived from the more general McClellan transform, the frequency response of the desired circular 2D FIR filter results directly, also in factored form. The designed filter has an accurate shape, with negligible distortions. We also proposed a computationally efficient implementation at system level, based on polyphase decomposition and block filtering approach, which leads to a filtering structure with low aritmetic complexity and a high degree of parallelism.
Keywords: 2D FIR filters, circular filters, approximations, analytic design, polyphase filtering
DOI 10.56082/annalsarsciinfo.2024.1.60
1Prof., Faculty of Electronics, Telecommunications and Information Technology, Technical University “Gheorghe Asachi”, Iasi, Romania; Academy of Romanian Scientists – AOSR; Technical Sciences Academy of Romania – ASTR (e-mail: chiper@etti.tuiasi.ro).
2Lecturer, PhD, Faculty of Electronics, Telecommunications and Information Technology, Technical University “Gheorghe Asachi”, Iasi, Romania, Institute of Computer Science, Romanian Academy – Iaşi Branch (rmatei@etti.tuiasi.ro).
PUBLISHED in Annals of the Academy of Romanian Scientists Series on Science and Technology of Information, Volume 17, No1
ISSN PRINT2066 – 2742 ISSN ONLINE 2066-8562 
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