TY - JOUR
T1 - Comments on "a convolution and product theorem for the linear canonical transform"
AU - Deng, Bing
AU - Tao, Ran
AU - Wang, Yue
PY - 2010
Y1 - 2010
N2 - A recent letter proposed a new convolution structure for the linear canonical transform [1], and claimed that theirs was clearly easier to implement in the designing of filters than the one suggested earlier in [2]. However, we find that the two kinds of filtering methods are essentially the same through the theoretic deduction. That is to say, the two kinds of filteringmethods can obtain the same effect through the same filtering steps. Taking digital signal processing into account, we analyze further the computation complexity according to the steps of multiplicative filter.
AB - A recent letter proposed a new convolution structure for the linear canonical transform [1], and claimed that theirs was clearly easier to implement in the designing of filters than the one suggested earlier in [2]. However, we find that the two kinds of filtering methods are essentially the same through the theoretic deduction. That is to say, the two kinds of filteringmethods can obtain the same effect through the same filtering steps. Taking digital signal processing into account, we analyze further the computation complexity according to the steps of multiplicative filter.
KW - Multiplicative filter
KW - computational complexity
KW - linear canonical transform
UR - http://www.scopus.com/inward/record.url?scp=77952250692&partnerID=8YFLogxK
U2 - 10.1109/LSP.2010.2045547
DO - 10.1109/LSP.2010.2045547
M3 - Article
AN - SCOPUS:77952250692
SN - 1070-9908
VL - 17
SP - 615
EP - 616
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
IS - 6
M1 - 2045547
ER -