9 The Fotirier ‘l’ransfortn 234 Figure 9.24: Example of 1olw cf~irrparameters Example 9.17 Signals of the form n.(t)= e lu”z are callctl Ga iiss s?npdse.s rheir transform pair is (see Appeiiclix Appendix B.3) z/;T e-uLf2 w2 @-f?g Q (9.121) Note that l n q is negalive arid for thc the time-bandwidth product, the valut D2R2 = -8 111g , 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