## Intrarelationships between the amplitude characteristic and the phase characteristic of linear discrete-time minimum-phase elements |

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4.6 For Calculating A(co Accordingly Actual Amplitude Values actual and calculated Actual Phase Values actual values amplitude characteristic AMPLITUDE-PHASE RELATIONS approximated and actual B(co B(oj BEGINNING OF INTEGRATION Calculated and Actual calculated values Calculating the Amplitude calculating the phase Cauchy's theorem COMMON WC»AA»T computer programs CONTINUE SUMY=0 continuous-data Contour in z-plane deg/sec denotes different frequencies discontinuity discrete-data element electric network element of Example evaluated Example 3.2 formulas frequency transfer function G(eJ G(jw given in Chapter given in example gives tt/T indented unit circle input integral tables integrand function integrand of 3-32 integration is performed Laplace transform logarithmic singularities minimum-phase type Numerical integration odd function performed to calculate phase characteristics phase component Programs 4.3 RETURN END SLINKGO Romberg integration roundoff error strip width thesis tr/T trapezoid rule tt/T Equation TT/T TT/T utilized values of B(w w)dco WD=WC yields tt/T z-transform zero