3J 12.5 Propcrties of the F% Transform Exarnpla 12.4 We have iilreatiy rrrct the trarrsforni pair (12.24): I;korn (12.56), wc' expect conjugate synimetrical spectra for discrtitc-time signals with real values In p a r t i d a r , (12.58) cim only fuliill tliese c-oriclitions, for example if R = T , for i ~ n ( X ( e J ' ~))O I (12 59) Li he spcctrum of a series with real valiirs is therefore real for i2 = - ~- - ,~ , r , ~., The Lransform pairs (12.20), (12.33) niid (12.39) confirm this