TY - JOUR
T1 - Radial function based kernel design for time-frequency distributions
AU - Kodituwakku, Sandun
AU - Kennedy, Rodney A.
AU - Abhayapala, Thushara D.
PY - 2010/6
Y1 - 2010/6
N2 - A framework based on the $n$ -dimensional Fourier transform of a radially symmetric function is introduced to design kernels for Cohen time-frequency distributions. Under this framework, we derive a kernel formula which generalizes and unifies MargenauHill, BornJordan, and Bessel distributions, using a realization based on a n-dimensional radial delta function. The higher order radial kernels suppress more cross-term energy compared with existing lower order kernels, which is illustrated by the time-frequency analysis of atrial fibrillation from surface electro cardiogram data.
AB - A framework based on the $n$ -dimensional Fourier transform of a radially symmetric function is introduced to design kernels for Cohen time-frequency distributions. Under this framework, we derive a kernel formula which generalizes and unifies MargenauHill, BornJordan, and Bessel distributions, using a realization based on a n-dimensional radial delta function. The higher order radial kernels suppress more cross-term energy compared with existing lower order kernels, which is illustrated by the time-frequency analysis of atrial fibrillation from surface electro cardiogram data.
KW - Bessel distribution
KW - Born-Jordan distribution
KW - Cohen class
KW - Kernel design
KW - Margenau-Hill distribution
KW - Multidimensional Fourier transform
KW - Time-frequency distributions (TFDs)
UR - http://www.scopus.com/inward/record.url?scp=77952558795&partnerID=8YFLogxK
U2 - 10.1109/TSP.2010.2044252
DO - 10.1109/TSP.2010.2044252
M3 - Article
SN - 1053-587X
VL - 58
SP - 3395
EP - 3400
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 6
M1 - 5419964
ER -