Wiley signals and systems e book TLFe BO 249

The Fotirier ‘l’ransfortn Figure 9.24: Example of 1 olw cf~irr parameters Example 9.17 Signals of the form are callctl Ga iiss s?npdse.s.. arid for thc the time-bandwidth product, the

234 9 The Fotirier ‘l’ransfortn

Figure 9.24: Example of 1 olw cf~irr parameters

Example 9.17

Signals of the form

are callctl Ga iiss s?npdse.s

n.(t) = e lu”z

e - u L f 2 z/;T w 2

rheir transform pair is (see Appeiiclix Appendix B.3)

Q

Note that l n q is negalive

arid for thc the time-bandwidth product, the valut

D2R2 = -8 111 g ,

is eoiisl a111 for any given q If q is made sinaller the tolerance parmiet,ers 1)ecorne strict,tar, anid {lie resultirrg time-bandwidth product Dz 232 foi Gauss iinpulses is increa,5cd