ELG 3125 Lecture Notes - Lecture 5: Axa, Partial Fraction Decomposition

• School: University of Ottawa
• Department: Electrical Engineering
• Course: ELG 3125
• Professor: Martin Bouchard

Document Summary

> same format as laplace transforms ( x. ) r x r s ) or continuous time fourier transforms ( x j ) r is the number of roots, i is the multiplicity (order, degree) of the ith root. 1 i k d k i dx k i x i i. 1 x x i i i i k x x r r r r r i. 1 x i i k x r r. > same format as z-transforms ( we should then write. ) or discrete time fourier transforms ( ( )g x for simplicity) e x j. 1 i k i i k d k i dx (1. 1 i x g x i x i. If the pairs, with corresponding complex conjugate coefficients from the partial fractions: ia coefficients are real-valued, then the complex denominator roots ib , i will occur in complex conjugate.