The stability of a general Linear Time-Invariant (LTI) Ultra-WideBand (UWB) Channel Impulse Response (CIR) model is investigated. Since the s-domain or z-domain function of the UWB CIR has an extremely high number of singularities, it cannot be automatically guaranteed that none of the poles falls on the right-half of the s-plane or outside the unit-circle of the z-plane. Hence the stability analysis necessitates the exhaustive testing of classical stability criterion for a potentially excessive number of poles. We circumvent this arduous task by developing the closed-form time-domain response of the so-called homogenous, non-homogenous and vectorial LTI causal UWB system. Furthermore, the normalized settling time of the step response is evaluated for diverse damping coefficients. Finally, a stability case-study is provided with the aid of Nichols chart. Streszczenie. Zbadano stabilnośc ultra szerokopasmowego kanalu LTI. Poniewaz na plaszczyźnie s i z odpowiedź impulsowa ma wiele osobliwości nie mozna automatycznie zagwarantowac, ze wszystkie są w prawe polowce plaszczyzny s lub w2ewnątrz kola jednostkowego z. W pracy zaproponowano metode określania stabilności kanalu. (Analiza stabilności ultra szerokopasmowego kanalu LTI)
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