TY - GEN
T1 - Band-limited signal concentration in time-frequency
AU - Wei, Liying
AU - Kennedy, Rodney A.
AU - Lamahewa, Tharaka A.
PY - 2009
Y1 - 2009
N2 - This paper studies signal concentration in timefrequency using the general constrained variational method of Franks. We apply this method to formulate the minimum fourthmoment time-duration measure in the time interval [-T/2, T/2] for band-limited signals. An orthonormal basis of band-limited functions with the minimum fourth-moment time-duration measure is obtained. Comparing our optimal band-limited signals with Gabor's function with the minimum second-moment timeduration measure, simulation results show that our function has better properties: 1) faster decaying rate; 2) larger main lobe; and 3) higher energy concentration measure.
AB - This paper studies signal concentration in timefrequency using the general constrained variational method of Franks. We apply this method to formulate the minimum fourthmoment time-duration measure in the time interval [-T/2, T/2] for band-limited signals. An orthonormal basis of band-limited functions with the minimum fourth-moment time-duration measure is obtained. Comparing our optimal band-limited signals with Gabor's function with the minimum second-moment timeduration measure, simulation results show that our function has better properties: 1) faster decaying rate; 2) larger main lobe; and 3) higher energy concentration measure.
UR - http://www.scopus.com/inward/record.url?scp=70649084282&partnerID=8YFLogxK
U2 - 10.1109/ICSPCS.2009.5306397
DO - 10.1109/ICSPCS.2009.5306397
M3 - Conference contribution
SN - 9781424444748
T3 - 3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009 - Proceedings
BT - 3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009 - Proceedings
T2 - 3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009
Y2 - 28 September 2009 through 30 September 2009
ER -