Wei, LiyingKennedy, RodneyLamahewa, Tharaka2015-12-10September9781424444748http://hdl.handle.net/1885/52673This 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.Keywords: Band-limited functions; Band-limited signal; Energy concentration; Orthonormal basis; Simulation result; Time frequency; Time interval; Variational methods; Signal processing; Communication systems200910.1109/ICSPCS.2009.53063972016-02-24