TY - JOUR
T1 - A note on some new generalized wavelets
AU - Zothansanga, A.
AU - Khanna, Nikhil
AU - Kaushik, S. K.
AU - Kumar, D.
N1 - Publisher Copyright:
© 2022 A. Zothansanga et al.
PY - 2022
Y1 - 2022
N2 - In this paper, we define new real wavelets based on the Hartley kernel and Boas transforms. These wavelets have possible application in analyzing both the symmetries of an asymmetric real signal. We give various results to obtain their higher vanishing moments. Finally, we give a sufficient condition under which Hartley-Boas-Like wavelets associated with Riesz projector forms a convolution filter with transfer function vanishing for the positive frequencies.
AB - In this paper, we define new real wavelets based on the Hartley kernel and Boas transforms. These wavelets have possible application in analyzing both the symmetries of an asymmetric real signal. We give various results to obtain their higher vanishing moments. Finally, we give a sufficient condition under which Hartley-Boas-Like wavelets associated with Riesz projector forms a convolution filter with transfer function vanishing for the positive frequencies.
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U2 - 10.1155/2022/7511242
DO - 10.1155/2022/7511242
M3 - Article
SN - 2314-4629
VL - 2022
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 7511242
ER -