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Stability analysis of the linear time-invariant ultra-wideband channel

Stability analysis of the linear time-invariant ultra-wideband channel
Stability analysis of the linear time-invariant ultra-wideband channel
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.
0033-2097
218-221
Ahmad, Saeed
5eabe4f5-918d-4682-9146-841197eee82c
Riaz, Raja A.
1b57bb96-a2ba-4637-9e8b-a1596e68f2fc
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Shafiq, Ghufran
68ad5189-59fc-4624-ad9b-99db41548fd3
Sugiura, Shinya
4c8665dd-1ad8-4dc0-9298-bf04eded3579
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Ahmad, Saeed
5eabe4f5-918d-4682-9146-841197eee82c
Riaz, Raja A.
1b57bb96-a2ba-4637-9e8b-a1596e68f2fc
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Shafiq, Ghufran
68ad5189-59fc-4624-ad9b-99db41548fd3
Sugiura, Shinya
4c8665dd-1ad8-4dc0-9298-bf04eded3579
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Ahmad, Saeed, Riaz, Raja A., Chen, Sheng, Shafiq, Ghufran, Sugiura, Shinya and Hanzo, Lajos (2012) Stability analysis of the linear time-invariant ultra-wideband channel. Przeglad Elektrotechniczny, 2012 (1a), 218-221.

Record type: Article

Abstract

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.

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Published date: 2012
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 352250
URI: https://eprints.soton.ac.uk/id/eprint/352250
ISSN: 0033-2097
PURE UUID: 4f85c50c-e3d3-4f53-963f-7a16ae6eee73
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 08 May 2013 11:25
Last modified: 20 Jul 2019 01:26

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