Project: IEEE P Working Group for Wireless Personal Area Networks N
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1 November 6 doc.: IEEE /474r Project: IEEE P8.15 Working roup for Wireless Personal Area Networks N (WPANs( WPANs) Title: [Reference antenna model with side lobe for T3c evaluation] Date Submitted: [November, 6] Source: [Ichihiko Toyoda 1, Tomohiro Seki 1, Kyoichi Iigusa, Hirokazu Sawada, Yoshitsugu Fujita 3,Amane Miura 4, Naoyuki Orihashi 5 ] Company [NTT 1, NiCT, Kyocera 3, ATR 4, NEC 5 ] Address [1-1 Hikari-no-oka, Yokosuka-shi, Kanagawa , Japan] 1, [3-4 Hikari-no-oka, Yokosuka-shi, Kanagawa , Japan], [6 Takeda Tobadono-cho Fushimi-ku, Kyoto Japan] 3, [-- Hikari-dai, Keihanna Science City, Kyoto , Japan] 4, [Seiran -9-1, Otsu Siga, , Japan] 5 Voice:[ , , , , ] FAX: [ , , , , ] [{toyoda.ichihiko,seki.tomohiro}@lab.ntt.co.jp 1, {iigusa, sawahiro}@nict.go.jp, yoshitsugu.fujita.gt@kyocera.jp 3, amane@atr.jp 4, orihahsi@cb.jp.nec.com 5 ] Re: [] Abstract: [Mathematical model of radiation patterns including side-lobe effect is proposed for T3c PHY/MAC simulations] Purpose: [To be considered in 15.3c Document] Notice: This document has been prepared to assist the IEEE P8.15. 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 P8.15. Slide 1
2 November 6 doc.: IEEE /474r Reference antenna model with side lobe for T3c evaluation Ichihiko Toyoda, Tomohiro Seki (NTT) Kyouichi Iigusa, Hirokazu Sawada (NiCT) Yoshitsugu Fujita (Kyocera) Amane Miura (ATR) Naoyuki Orihashi (NEC) Slide
3 November 6 doc.: IEEE /474r Summary Reference antenna model including side-lobe effect is proposed for T3c PHY/MAC simulations. Slide 3
4 November 6 doc.: IEEE /474r Basic Concept Side-lobe level is basically small Radiation patters, i.e. side-lobe level, can be modified by antenna design. Simple mathematical model employing an averaged side lobe is good enough for simulations. Slide 4
5 November 6 doc.: IEEE /474r Topics to be Considered Four topics to be considered to create a model. Maximum gain Main-lobe function / Calculation method of side lobe level θ -3dB / θ ml / π θ Main-lobe width Note: Phase pattern is assumed to be constant. Slide 5
6 November 6 doc.: IEEE /474r Main-lobe Function Employed circular symmetric aussian distribution due to its simple formulation. ( θ, φ) = exp( ) αθ where α is determined by the half-power beam width θ -3dB as follows; 4 ln α = θ Main lobe can be expressed by a simple equation in db. θ ( θ, φ) [db] = [db] 3.1 (1) θ Slide 6 3dB db 3
7 November 6 doc.: IEEE /474r Main-lobe Width Considered - db from the maximum gain as a main lobe. Main-lobe width is derived from eq.(1) in Slide 6. θ ml =.6 θ 3dB This result is consistent with the theoretical value of an ideal circular aperture antenna with its half-power beam width of around 3 degrees. Slide 7
8 November 6 doc.: IEEE /474r Maximum ain Employed the formula of an ideal circular aperture antenna with uniform field distribution. = ( ka) ka sin( θ 3 db / ) = where k and a are the wavenumber and radius of the aperture, respectively. Slide 8
9 November 6 doc.: IEEE /474r Calculation Method of Side-lobe Level Side-lobe power is averaged over the solid angle out of the main lobe. Total power of the main lobe sl 4π θ ml / exp( αθ ) sinθdθ = π π θ ml sinθdθ / dφ Solid angle out of the main lobe π dφ Slide 9
10 November 6 doc.: IEEE /474r Numerical Results 4, sl [dbi], sl [dbc] y = Ln(x) [dbi] sl [dbi] sl [dbc] sl fitting θ -3dB [deg] Slide 1
11 November 6 doc.: IEEE /474r Proposed Model ( θ, φ) [db] = θ 3.1 θ 3dB / o ( θ, φ) [db] = θ / θ 18 sl ml θ θ ml θ ml sl =.6 θ 3dB log = sin 3 db =.4111 ln ( θ ) ( θ ) dB Slide 11
12 November 6 doc.: IEEE /474r Examination of Proposed Model Proposed model is compared with measured data. ood agreement has been achieved. o θ 3 db =15 o θ 3 db = 3 o θ 3 db = 6-1 Measured data Proposed model -1 Measured data Proposed model -1 Measured data Proposed model D(θ) [db] D(θ) [db] D(θ) [db] θ [deg.] θ [deg.] θ [deg.] Note: Measured data are for rectangular horn antennas. Slide 1
13 November 6 doc.: IEEE /474r Conclusion Reference antenna model with averaged side lobe is proposed for T3c PHY/MAC simulations. Proposed model is a simple mathematical model and examined by comparing with the measured data of 15, 3 and 6-degree antennas. ood agreement between the model and measured results. Slide 13
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