November 2004 doc IEEE 802 15 04663 r

November 2004 doc. : IEEE 802. 15 -04/663 r 0 Project: IEEE P 802. 15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: Recommendations for Power Amp Model and Multipath RMS Delay Spread Date Submitted: 17 November 2004 Source: Colin Lanzl Company: Ember Corporation Address 343 Congress Street, Boston, MA, 02210, USA Voice: +1 -617 -951 -1242, FAX: +1 -617 -951 -0999, E-Mail: colin. lanzl@ember. com Re: 802. 15. 4 b PHY Discussion Abstract: This document provides recommendations for power amplifier and multipath modeling in support of 802. 15. 4 b PHY discussions. Purpose: This document is provided as information to aid in allowing proposals for an alternate 802. 15. 4 PHY comparison. Notice: This document has been prepared to assist the IEEE P 802. 15. It is offered as a basis for discussion and is not binding on the contributing individual(s) or organization(s). The material in this document is subject to change in form and content after further study. The contributor(s) reserve(s) the right to add, amend or withdraw material contained herein. Release: The contributor acknowledges and accepts that this contribution becomes the property of IEEE and may be made publicly available by P 802. 15. Submission 1 Colin Lanzl, Ember

November 2004 doc. : IEEE 802. 15 -04/663 r 0 Proposed. Power Amp Model for 802. 15. 4 b • Basis: Rapp Model for non-linear power amp g(A) = A / ((1+A 2 p)1/2 p) • where g(A) is the output amplitude, A is the input amplitude and p is a non-linearity parameter, recommended to be p=3. • Reference: C. Rapp, ‘Effects of HPA-Nonlinearity on a 4 DPSK/OFDM Signal for a Digital Sound Broadcasting System’, Proceedings of the Second European Conference on Satellite Communications, Liège, Belgium, October 22 -24, 1991, pp. 179184. • Modified to provide crossover distortion of 5% Submission 2 Colin Lanzl, Ember

November 2004 doc. : IEEE 802. 15 -04/663 r 0 Vout +1. 0 Shape determined by Rapp model with p=3 -1. 0 -0. 05 0 +0. 05 +1. 0 Vin Crossover distortion added to Rapp model -1. 0 Submission 3 Colin Lanzl, Ember

November 2004 doc. : IEEE 802. 15 -04/663 r 0 Multipath Delay Spread • 11 -04/940: largest indoor multipath delay spread (factory environment, Medbo model E) is less than 250 nsec – consider particularly references 2, 4, 7, 8, 15, 16 & 26 • Rappaport et. al: “Statistical Channel Impulse Response Models for Factory and Open Plan Building Radio Communication System Design”, IEEE Trans. Comm. , vol. 39, no. 5, May 1991 – largest indoor multipath delay spreads in factory environments studied is less than 150 nsec Submission 4 Colin Lanzl, Ember

November 2004 doc. : IEEE 802. 15 -04/663 r 0 Recommendations • For evaluation of performance, use a model of a non-linear power amp given in slide 3, where Psat = +3 d. Bm. • For evaluation of performance, use instantiations of multipath profiles with a rms delay spread of no more than 250 nsec. Submission 5 Colin Lanzl, Ember