Wiley signals and systems e book TLFe BO 314

12.2 Some Siinple Seqiiences 299 1 Figure 12.4: Examples of expctrieril;ial secperices E x ~ ~ p 12.1 le T w o exainples for uiiilat,eral exponential sequiices with real values are given by (12.10) and (12,11), arid illustrated in Figure 12.4 ( 12.10) (12.11) For b o t ~ exponential i series X = I and 1: = - 1112 TIX arigular frequency II ~ i a s the values 52 = and I2 = n respectively Both srries are the same except the signs before the odd valucts In contrast to continuous mqmiicntial fuiictioiis, tiiffcwnt values of tlre nngitlsr frequency R can lead to the hame exponential series As eJRk is only etaluated for integers k , adding multiples of 2n to does not change the sequence: p k e j(62L27r)k (12.12)