Abstract
In this paper, we present a theory and design of two-dimensional (2-D) perfect reconstruction (PR) filter-banks (FB's) (PRFB's) in which the supports of the analysis and synthesis filters consist of two triangulars. The two-triangular FB can be realized by designing an appropriate 2-D complex prototype whose passband support is a triangle that is a half of parallelepiped-shaped passband support defined by sampling matrix. Then a complex prototype filter is modulated by DFT, and each analysis filter is derived by taking the real part of the modulated output. We show that the two-triangular FB satisfies the condition of permissibility. A necessary and sufficient condition for 2-D PRFB's will be derived. Moreover, we present a design method of the 2-D PRFB that minimizes the cost function consisting of the frequency constraint and PR condition. Finally, a design example is presented to confirm the validity of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 1003-1009 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Signal Processing |
| Volume | 47 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1999 Apr |
Fingerprint
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Signal Processing
Cite this
Two-dimensional perfect reconstruction FIR filter banks with triangular supports. / Yan, Hua; Ikehara, Masaaki.
In: IEEE Transactions on Signal Processing, Vol. 47, No. 4, 04.1999, p. 1003-1009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Two-dimensional perfect reconstruction FIR filter banks with triangular supports
AU - Yan, Hua
AU - Ikehara, Masaaki
PY - 1999/4
Y1 - 1999/4
N2 - In this paper, we present a theory and design of two-dimensional (2-D) perfect reconstruction (PR) filter-banks (FB's) (PRFB's) in which the supports of the analysis and synthesis filters consist of two triangulars. The two-triangular FB can be realized by designing an appropriate 2-D complex prototype whose passband support is a triangle that is a half of parallelepiped-shaped passband support defined by sampling matrix. Then a complex prototype filter is modulated by DFT, and each analysis filter is derived by taking the real part of the modulated output. We show that the two-triangular FB satisfies the condition of permissibility. A necessary and sufficient condition for 2-D PRFB's will be derived. Moreover, we present a design method of the 2-D PRFB that minimizes the cost function consisting of the frequency constraint and PR condition. Finally, a design example is presented to confirm the validity of the proposed method.
AB - In this paper, we present a theory and design of two-dimensional (2-D) perfect reconstruction (PR) filter-banks (FB's) (PRFB's) in which the supports of the analysis and synthesis filters consist of two triangulars. The two-triangular FB can be realized by designing an appropriate 2-D complex prototype whose passband support is a triangle that is a half of parallelepiped-shaped passband support defined by sampling matrix. Then a complex prototype filter is modulated by DFT, and each analysis filter is derived by taking the real part of the modulated output. We show that the two-triangular FB satisfies the condition of permissibility. A necessary and sufficient condition for 2-D PRFB's will be derived. Moreover, we present a design method of the 2-D PRFB that minimizes the cost function consisting of the frequency constraint and PR condition. Finally, a design example is presented to confirm the validity of the proposed method.
UR - http://www.scopus.com/inward/record.url?scp=0033115356&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0033115356&partnerID=8YFLogxK
U2 - 10.1109/78.752598
DO - 10.1109/78.752598
M3 - Article
AN - SCOPUS:0033115356
VL - 47
SP - 1003
EP - 1009
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
SN - 1053-587X
IS - 4
ER -