TY - GEN
T1 - Time-frequency localization for sequences
AU - Doroslovacki, M.
AU - Fan, H.
AU - Djuric, P. M.
N1 - Publisher Copyright: © 1992 IEEE.
PY - 1992
Y1 - 1992
N2 - We introduce in the paper two second-moment-type quantities characterizing the localization of a sequence in discrete-time and frequency respectively. Their product satisfies an uncertainty relation. The sequences that reach the lowest uncertainty level are found. One of them is the binomial sequence. In an appropriate limit case for the transition from discrete-time to continuous-time signals, those sequences tend to the Gaussian signal. The second and corresponding first moments are physically interpreted. In frequency, the interpretation is related to the gravity center and inertia moment of a unit-mass ring. In time, it is based on the ordinary first and second moments of specially filtered, as well as, non-filtered original sequences.
AB - We introduce in the paper two second-moment-type quantities characterizing the localization of a sequence in discrete-time and frequency respectively. Their product satisfies an uncertainty relation. The sequences that reach the lowest uncertainty level are found. One of them is the binomial sequence. In an appropriate limit case for the transition from discrete-time to continuous-time signals, those sequences tend to the Gaussian signal. The second and corresponding first moments are physically interpreted. In frequency, the interpretation is related to the gravity center and inertia moment of a unit-mass ring. In time, it is based on the ordinary first and second moments of specially filtered, as well as, non-filtered original sequences.
UR - https://www.scopus.com/pages/publications/33645686155
U2 - 10.1109/TFTSA.1992.274212
DO - 10.1109/TFTSA.1992.274212
M3 - Conference contribution
T3 - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
SP - 159
EP - 162
BT - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Y2 - 4 October 1992 through 6 October 1992
ER -