TY - JOUR

T1 - Design of 2‐D perfect reconstruction filter banks for arbitrary sampling lattices—design of 2‐D N‐th‐band digital filters

AU - Ikehara, Masaaki

AU - Sawada, Kiyoshi

AU - Isobe, Hiroyuki

AU - Yamashita, Akinobu

AU - Kuroda, Hideo

PY - 1993

Y1 - 1993

N2 - This paper presents a design method of two‐dimensional (2‐D) perfect reconstruction filter banks for arbitrary sampling lattices. First, a design of 2‐D N‐th‐band digital filters with arbitrary sampling lattices is shown. Next, the relation between the sampling matrix and the number of paths is presented and the band‐limited region and the condition of delays are defined. From these conditions, the approximation problem is shown of the 2‐D allpass filter whose 2‐D N‐th‐band filter is composed and the characteristics of 2‐D N‐th‐band filters are explained. Then 2‐D analysis banks consist of 2‐D discrete Fourier transform (DFT) and 2‐D N‐th‐band filter which consists of some delays and 2‐D interpolated allpass networks. To achieve the perfect reconstruction, by evaluating the aliasing component matrix, it is shown that the synthesis banks can also be constructed the same as the analysis bank.

AB - This paper presents a design method of two‐dimensional (2‐D) perfect reconstruction filter banks for arbitrary sampling lattices. First, a design of 2‐D N‐th‐band digital filters with arbitrary sampling lattices is shown. Next, the relation between the sampling matrix and the number of paths is presented and the band‐limited region and the condition of delays are defined. From these conditions, the approximation problem is shown of the 2‐D allpass filter whose 2‐D N‐th‐band filter is composed and the characteristics of 2‐D N‐th‐band filters are explained. Then 2‐D analysis banks consist of 2‐D discrete Fourier transform (DFT) and 2‐D N‐th‐band filter which consists of some delays and 2‐D interpolated allpass networks. To achieve the perfect reconstruction, by evaluating the aliasing component matrix, it is shown that the synthesis banks can also be constructed the same as the analysis bank.

KW - 2‐D N‐th‐band filter

KW - Synthesis banks

KW - analysis bank

KW - decimation

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U2 - 10.1002/ecjc.4430761209

DO - 10.1002/ecjc.4430761209

M3 - Article

AN - SCOPUS:0027727523

SN - 1042-0967

VL - 76

SP - 85

EP - 94

JO - Electronics and Communications in Japan (Part III: Fundamental Electronic Science)

JF - Electronics and Communications in Japan (Part III: Fundamental Electronic Science)

IS - 12

ER -