1985Electronics and Communications in Japan (Part I Communications)Requires access

Design of two‐dimensional fir digital filters on asymmetric half‐plane

Takao Hinamoto, Mitsuji Muneyasu, Sadao Maekawa

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Abstract

Abstract A technique for designing asymmetric half‐plane two‐dimensional FIR digital filters in the frequency domain is presented. This filter includes the class of causal two‐dimensional digital filters as a special case. To design a linear‐phase FIR digital filter, a mirror‐image polynomial is presented for the asymmetric half‐plane two‐dimensional digital filters. The technique has an advantage of ensuring the linear phase of the resulting filters. Moreover, it is possible to design the filter by solving a set of linear equations. Two examples, low‐pass filter and fan filter designs, are solved to illustrate the proposed technique.

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What this paper is about

Abstract A technique for designing asymmetric half‐plane two‐dimensional FIR digital filters in the frequency domain is presented. This filter includes the class of causal two‐dimensional digital filters as a special case. To design a linear‐phase FIR digital filter, a mirror‐image polynomial is presented for the asymmetric half‐plane two‐dimensional digital filters. The technique has an advantage of ensuring the linear phase of the resulting filters. Moreover, it is possible to design the filter by solving a set of linear equations. Two examples, low‐pass filter and fan filter designs, are solved to illustrate the proposed technique.

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Available abstract

Abstract A technique for designing asymmetric half‐plane two‐dimensional FIR digital filters in the frequency domain is presented. This filter includes the class of causal two‐dimensional digital filters as a special case. To design a linear‐phase FIR digital filter, a mirror‐image polynomial is presented for the asymmetric half‐plane two‐dimensional digital filters. The technique has an advantage of ensuring the linear phase of the resulting filters. Moreover, it is possible to design the filter by solving a set of linear equations. Two examples, low‐pass filter and fan filter designs, are solved to illustrate the proposed technique.

Key concepts: Half-band filter, Prototype filter, Linear phase, Filter design, Digital filter, m-derived filter, Network synthesis filters, Mathematics

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