TY - GEN
T1 - Multidimensional nonsubsampled hourglass filter banks
T2 - 40th Asilomar Conference on Signals, Systems, and Computers, ACSSC '06
AU - Lu, Yue
AU - Do, Minh N
PY - 2006
Y1 - 2006
N2 - Recently, the classical two-dimensional directional filter banks have been extended to higher dimensions. In this paper, we study one of the key components in this new construction, namely the multidimensional nonsubsampled hourglass filter banks. Starting with a rigorous analysis on the geometry of multidimensional hourglass-shaped passband supports, we propose a novel design for these filter banks in arbitrary dimensions, featuring perfect reconstruction and finite impulse response (FIR) filters. We analyze necessary and sufficient conditions for the resulting filters to achieve good frequency responses, and provide an optimal solution that satisfies these conditions using simplest filters. The proposed filter design technique is verified by a design example in 3-D.
AB - Recently, the classical two-dimensional directional filter banks have been extended to higher dimensions. In this paper, we study one of the key components in this new construction, namely the multidimensional nonsubsampled hourglass filter banks. Starting with a rigorous analysis on the geometry of multidimensional hourglass-shaped passband supports, we propose a novel design for these filter banks in arbitrary dimensions, featuring perfect reconstruction and finite impulse response (FIR) filters. We analyze necessary and sufficient conditions for the resulting filters to achieve good frequency responses, and provide an optimal solution that satisfies these conditions using simplest filters. The proposed filter design technique is verified by a design example in 3-D.
UR - http://www.scopus.com/inward/record.url?scp=47049131288&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=47049131288&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2006.354778
DO - 10.1109/ACSSC.2006.354778
M3 - Conference contribution
AN - SCOPUS:47049131288
SN - 1424407850
SN - 9781424407859
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 406
EP - 410
BT - Conference Record of the 40th Asilomar Conference on Signals, Systems and Computers, ACSSC '06
Y2 - 29 October 2006 through 1 November 2006
ER -