Wiley signals and systems e book TLFe BO 266

251 10.5 Cornplex Pairs of Poles arid Zeros If cither the real or imaginary part may riot he neglected in favour of the other, I,liere is 110 simple method of finding the ciit-oK frequency and drawing thc Bode plot We can in fact look back at thc equations (10.3) arid det cmiine the tfistancc of the poles and zeros, and the corresponding xrig1r.s grtipliically for each point of iiitei-esc on t h ( x imaginary axis Figine 10.7 sliows the sil uation €or x pair of poles and a n arbitrary point 011 the iutaginary axis The distiGliw to the poles aiid tlie col responding angle cc211 easily be read from the plot ' U Figure 10.7: Pole-xt*rodiagram for a c-omplc,x pole pair Example I As ail exaiuple we will exaniiiie the systenr function wit11 the pole-zero diagram from Figure 10.8 Figure 10.8 Pole-;.pro tli