Project: IEEE P Working Group for Wireless Personal Area Networks N

Size: px
Start display at page:

Download "Project: IEEE P Working Group for Wireless Personal Area Networks N"

Transcription

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

Project: IEEE P Working Group for Wireless Personal Area Network (WPAN)

Project: IEEE P Working Group for Wireless Personal Area Network (WPAN) Project: IEEE P802.15 Working Group for Wireless Personal Area Network (WPAN) Submission Title: [Ray-Tracing Simulation of the NICT Channel Measurements] Date Submitted: [18 July 2006] Source: [K. Sayrafian,

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Title: [VLC channel measurement in indoor application] Date Submitted: [10 July, 2008] Source: [(1)Atsuya Yokoi,

More information

MATH203 Calculus. Dr. Bandar Al-Mohsin. School of Mathematics, KSU

MATH203 Calculus. Dr. Bandar Al-Mohsin. School of Mathematics, KSU School of Mathematics, KSU Theorem The rectangular coordinates (x, y, z) and the cylindrical coordinates (r, θ, z) of a point P are related as follows: x = r cos θ, y = r sin θ, tan θ = y x, r 2 = x 2

More information

Worksheet 3.5: Triple Integrals in Spherical Coordinates. Warm-Up: Spherical Coordinates (ρ, φ, θ)

Worksheet 3.5: Triple Integrals in Spherical Coordinates. Warm-Up: Spherical Coordinates (ρ, φ, θ) Boise State Math 275 (Ultman) Worksheet 3.5: Triple Integrals in Spherical Coordinates From the Toolbox (what you need from previous classes) Know what the volume element dv represents. Be able to find

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: Three Dimensional Angle of Arrival Estimation in Dynamic Indoor THz Channel Using Forward-Backward Algorithm Date

More information

Protocols and procedures (part II)

Protocols and procedures (part II) Protocols and procedures (part II) Authors: Date: 04-11-2010 Name Company Address Phone email Junyi Wang NICT 3-4, Hikarino-oka, Yokosuka, Kanagawa, Japan, 239-0847 Stanislav Filin NICT 3-4, Hikarino-oka,

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Title: [MAC requirements for visible light communication systems ] Date Submitted: [The date the document is contributed,

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P82.15 Working roup for Wireless Personal Area Networks N (WPANs( WPANs) Title: [Color Multiple Coding for VLC] Date Submitted: [7 Nov, 28] Source: [Atsua Yokoi] Compan [Samaung Yokohama

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.5 Working Group for Wireless Personal Area Networks (WPANs) Title: [Response to the call for final proposal to TG0] Date Submitted: [4 July, 204] Source: * [Verotiana Rabarijaona, Fumihide

More information

Polar Coordinates. Chapter 10: Parametric Equations and Polar coordinates, Section 10.3: Polar coordinates 27 / 45

Polar Coordinates. Chapter 10: Parametric Equations and Polar coordinates, Section 10.3: Polar coordinates 27 / 45 : Given any point P = (x, y) on the plane r stands for the distance from the origin (0, 0). θ stands for the angle from positive x-axis to OP. Polar coordinate: (r, θ) Chapter 10: Parametric Equations

More information

Conics, Parametric Equations, and Polar Coordinates. Copyright Cengage Learning. All rights reserved.

Conics, Parametric Equations, and Polar Coordinates. Copyright Cengage Learning. All rights reserved. 10 Conics, Parametric Equations, and Polar Coordinates Copyright Cengage Learning. All rights reserved. 10.5 Area and Arc Length in Polar Coordinates Copyright Cengage Learning. All rights reserved. Objectives

More information

Conics, Parametric Equations, and Polar Coordinates. Copyright Cengage Learning. All rights reserved.

Conics, Parametric Equations, and Polar Coordinates. Copyright Cengage Learning. All rights reserved. 10 Conics, Parametric Equations, and Polar Coordinates Copyright Cengage Learning. All rights reserved. 10.5 Area and Arc Length in Polar Coordinates Copyright Cengage Learning. All rights reserved. Objectives

More information

Submission Title: Preliminary Performance of FEC Schemes in TG3d Channels

Submission Title: Preliminary Performance of FEC Schemes in TG3d Channels doc.: IEEE 802. 15-16-0746-05-003d 15-16-0746-01-003d Performance_of_FEC_in_TG3d_Channels Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: Preliminary Performance

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N August, 2009 Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Title: [Low energy for non-beacon enabled PAN] Date Submitted: [] Source: [FumihideKojima 1, Hiroshi

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs) Submission Title: [ETRI MAC Proposal on Color Packet ] Date Submitted: [23 September, 2009] Source: [Ill Soon Jang, Tae-Gyu

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: [Radiometric and Geometric Consideration for image sensor receiver] Date Submitted: [July, 2015] Source: [Md. Shareef

More information

1900 series standardizations and coexistence scenarios for TVWS

1900 series standardizations and coexistence scenarios for TVWS Introduction of IEEE SCC41 and IEEE 1900 series standardizations and coexistence scenarios for TVWS Authors: Date: 2009-09-08 09 08 Name Company Address Phone email Hiroshi NICT 3-4, Hikarino-oka, i k

More information

doc.: IEEE < > Project: IEEE P Working Group for Wireless Personal Area Networks N

doc.: IEEE < > Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Submission Title: [Proposal of MAC concept for VL-Image Sensor Communication (ISC) ] Date Submitted: [21.Sep.2009

More information

Formula for the asymmetric diffraction peak profiles based on double Soller slit geometry

Formula for the asymmetric diffraction peak profiles based on double Soller slit geometry REVIEW OF SCIENTIFIC INSTRUMENTS VOLUME 69, NUMBER 6 JUNE 1998 Formula for the asymmetric diffraction peak profiles based on double Soller slit geometry Takashi Ida Department of Material Science, Faculty

More information

Math Triple Integrals in Cylindrical Coordinates

Math Triple Integrals in Cylindrical Coordinates Math 213 - Triple Integrals in Cylindrical Coordinates Peter A. Perry University of Kentucky November 2, 218 Homework Re-read section 15.7 Work on section 15.7, problems 1-13 (odd), 17-21 (odd) from Stewart

More information

Engineered Diffusers Intensity vs Irradiance

Engineered Diffusers Intensity vs Irradiance Engineered Diffusers Intensity vs Irradiance Engineered Diffusers are specified by their divergence angle and intensity profile. The divergence angle usually is given as the width of the intensity distribution

More information

Polar Coordinates. Chapter 10: Parametric Equations and Polar coordinates, Section 10.3: Polar coordinates 28 / 46

Polar Coordinates. Chapter 10: Parametric Equations and Polar coordinates, Section 10.3: Polar coordinates 28 / 46 Polar Coordinates Polar Coordinates: Given any point P = (x, y) on the plane r stands for the distance from the origin (0, 0). θ stands for the angle from positive x-axis to OP. Polar coordinate: (r, θ)

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) doc.: IEEE 802. 15-16-0746-07-003d 15-16-0746-01-003d Performance_of_FEC_in_TG3d_Channels Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: Preliminary Performance

More information

CHAPTER 6 MICROSTRIP RECTANGULAR PATCH ARRAY WITH FINITE GROUND PLANE EFFECTS

CHAPTER 6 MICROSTRIP RECTANGULAR PATCH ARRAY WITH FINITE GROUND PLANE EFFECTS 107 CHAPTER 6 MICROSTRIP RECTANGULAR PATCH ARRAY WITH FINITE GROUND PLANE EFFECTS 6.1 INTRODUCTION The finite ground plane effects of microstrip antennas are one of the issues for the wireless mobile communication

More information

MAC2313 Test 3 A E g(x, y, z) dy dx dz

MAC2313 Test 3 A E g(x, y, z) dy dx dz MAC2313 Test 3 A (5 pts) 1. If the function g(x, y, z) is integrated over the cylindrical solid bounded by x 2 + y 2 = 3, z = 1, and z = 7, the correct integral in Cartesian coordinates is given by: A.

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 4-7 DIFFRACTION Assessment Statements AHL Topic 11.3. and SL Option A-4 Diffraction: 11.3.1. Sketch the variation with angle of diffraction

More information

> Compact range feed horns

> Compact range feed horns > Compact range feed horns ➊ TECHNICAL PERFORMANCES Rotationally symmetric radiation pattern Low cross polarization Stable amplitude taper with frequency Optimized refl ector edge and chamber wall illumination

More information

MIDTERM. Section: Signature:

MIDTERM. Section: Signature: MIDTERM Math 32B 8/8/2 Name: Section: Signature: Read all of the following information before starting the exam: Check your exam to make sure all pages are present. NO CALCULATORS! Show all work, clearly

More information

Applications of Triple Integrals

Applications of Triple Integrals Chapter 14 Multiple Integrals 1 Double Integrals, Iterated Integrals, Cross-sections 2 Double Integrals over more general regions, Definition, Evaluation of Double Integrals, Properties of Double Integrals

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Calculus III-Final review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the corresponding position vector. 1) Define the points P = (-,

More information

Multiple Integrals. max x i 0

Multiple Integrals. max x i 0 Multiple Integrals 1 Double Integrals Definite integrals appear when one solves Area problem. Find the area A of the region bounded above by the curve y = f(x), below by the x-axis, and on the sides by

More information

Near-field time-of-arrival measurements for four feed-arms with a bicone switch

Near-field time-of-arrival measurements for four feed-arms with a bicone switch EM Implosion Memos Memo 37 February 2010 Near-field time-of-arrival measurements for four feed-arms with a bicone switch Prashanth Kumar, Serhat Altunc, Carl E. Baum, Christos G. Christodoulou and Edl

More information

Mid-Chapter Quiz: Lessons 9-1 through 9-3

Mid-Chapter Quiz: Lessons 9-1 through 9-3 Graph each point on a polar grid. 1. A( 2, 45 ) 3. Because = 45, locate the terminal side of a 45 angle with the polar axis as its initial side. Because r = 2, plot a point 2 units from the pole in the

More information

The Light Field. Last lecture: Radiometry and photometry

The Light Field. Last lecture: Radiometry and photometry The Light Field Last lecture: Radiometry and photometry This lecture: Light field = radiance function on rays Conservation of radiance Measurement equation Throughput and counting rays Irradiance calculations

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) April, 2012 Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: [Preamble and OVSF code generator for IEEE802.15.4k LECIM DSS PHY] Date Submitted: [April, 2012] Source:

More information

Double Integrals, Iterated Integrals, Cross-sections

Double Integrals, Iterated Integrals, Cross-sections Chapter 14 Multiple Integrals 1 ouble Integrals, Iterated Integrals, Cross-sections 2 ouble Integrals over more general regions, efinition, Evaluation of ouble Integrals, Properties of ouble Integrals

More information

Protocols and procedures (part I)

Protocols and procedures (part I) Protocols and procedures (part I) Authors: Date: 04-11-2010 Name Company Address Phone email Stanislav Filin NICT 3-4, Hikarino-oka, Yokosuka, sfilin@nict.go.jp Kanagawa, Japan, 239-0847 Junyi Wang NICT

More information

3 - SYNTHETIC APERTURE RADAR (SAR) SUMMARY David Sandwell, SIO 239, January, 2008

3 - SYNTHETIC APERTURE RADAR (SAR) SUMMARY David Sandwell, SIO 239, January, 2008 1 3 - SYNTHETIC APERTURE RADAR (SAR) SUMMARY David Sandwell, SIO 239, January, 2008 Fraunhoffer diffraction To understand why a synthetic aperture in needed for microwave remote sensing from orbital altitude

More information

November 2008 doc.: IEEE <08/ > Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Submission Title:

November 2008 doc.: IEEE <08/ > Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Submission Title: Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs) Title: [VLC channel modeling with different reflection types] Date Submitted: [11 November 2008] Source: [(1) Jaeseung

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Submission Title: [Comment resolution for CID 400 related to turnaroud time] Date Submitted: [11 th June, 2010]

More information

Mathematics 205 HWK 21 Solutions Section 16.5 p766

Mathematics 205 HWK 21 Solutions Section 16.5 p766 Mathematics 5 HK 1 Solutions Section 16.5 p766 Problem 5, 16.5, p766. For the region shown (a rectangular slab of dimensions 1 5; see the text), choose coordinates and set up a triple integral, including

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [VLC Channel Modeling Simulation for Metropolitan Scenario] Date Submitted: [14 May, 2010] Source: [(1)Sung-Yoon

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [CASIO Response to 15.7r1 CFA] Date Submitted: [ March. 2015] Source: [Nobuo IIZUKA] Company [CASIO Computer

More information

Math 241, Exam 3 Information.

Math 241, Exam 3 Information. Math 241, xam 3 Information. 11/28/12, LC 310, 11:15-12:05. xam 3 will be based on: Sections 15.2-15.4, 15.6-15.8. The corresponding assigned homework problems (see http://www.math.sc.edu/ boylan/sccourses/241fa12/241.html)

More information

) in the k-th subbox. The mass of the k-th subbox is M k δ(x k, y k, z k ) V k. Thus,

) in the k-th subbox. The mass of the k-th subbox is M k δ(x k, y k, z k ) V k. Thus, 1 Triple Integrals Mass problem. Find the mass M of a solid whose density (the mass per unit volume) is a continuous nonnegative function δ(x, y, z). 1. Divide the box enclosing into subboxes, and exclude

More information

Section Parametrized Surfaces and Surface Integrals. (I) Parametrizing Surfaces (II) Surface Area (III) Scalar Surface Integrals

Section Parametrized Surfaces and Surface Integrals. (I) Parametrizing Surfaces (II) Surface Area (III) Scalar Surface Integrals Section 16.4 Parametrized Surfaces and Surface Integrals (I) Parametrizing Surfaces (II) Surface Area (III) Scalar Surface Integrals MATH 127 (Section 16.4) Parametrized Surfaces and Surface Integrals

More information

Calculus III. Math 233 Spring In-term exam April 11th. Suggested solutions

Calculus III. Math 233 Spring In-term exam April 11th. Suggested solutions Calculus III Math Spring 7 In-term exam April th. Suggested solutions This exam contains sixteen problems numbered through 6. Problems 5 are multiple choice problems, which each count 5% of your total

More information

doc.: IEEE thz

doc.: IEEE thz doc.: IEEE 802.15 15-18-0207-00-0thz Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: A Preliminary 7nm implementation and communication performance study

More information

Polar Coordinates

Polar Coordinates Polar Coordinates 7-7-2 Polar coordinates are an alternative to rectangular coordinates for referring to points in the plane. A point in the plane has polar coordinates r,θ). r is roughly) the distance

More information

Math Exam III Review

Math Exam III Review Math 213 - Exam III Review Peter A. Perry University of Kentucky April 10, 2019 Homework Exam III is tonight at 5 PM Exam III will cover 15.1 15.3, 15.6 15.9, 16.1 16.2, and identifying conservative vector

More information

Polar Coordinates. Calculus 2 Lia Vas. If P = (x, y) is a point in the xy-plane and O denotes the origin, let

Polar Coordinates. Calculus 2 Lia Vas. If P = (x, y) is a point in the xy-plane and O denotes the origin, let Calculus Lia Vas Polar Coordinates If P = (x, y) is a point in the xy-plane and O denotes the origin, let r denote the distance from the origin O to the point P = (x, y). Thus, x + y = r ; θ be the angle

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [ CID 1034: Proposed SOI flag in PHR indicating the information of RRM and RR ] Date Submitted: [ 13 Jul,

More information

MAT137 Calculus! Lecture 31

MAT137 Calculus! Lecture 31 MAT137 Calculus! Lecture 31 Today: Next: Integration Methods: Integration Methods: Trig. Functions (v. 9.10-9.12) Rational Functions Trig. Substitution (v. 9.13-9.15) (v. 9.16-9.17) Integration by Parts

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 9-2 SINGLE-SLIT DIFFRACTION Essential Idea: Single-slit diffraction occurs when a wave is incident upon a slit of approximately the same

More information

Total. Math 2130 Practice Final (Spring 2017) (1) (2) (3) (4) (5) (6) (7) (8)

Total. Math 2130 Practice Final (Spring 2017) (1) (2) (3) (4) (5) (6) (7) (8) Math 130 Practice Final (Spring 017) Before the exam: Do not write anything on this page. Do not open the exam. Turn off your cell phone. Make sure your books, notes, and electronics are not visible during

More information

Uncertainty simulator to evaluate the electrical and mechanical deviations in cylindrical near field antenna measurement systems

Uncertainty simulator to evaluate the electrical and mechanical deviations in cylindrical near field antenna measurement systems Uncertainty simulator to evaluate the electrical and mechanical deviations in cylindrical near field antenna measurement systems S. Burgos*, F. Martín, M. Sierra-Castañer, J.L. Besada Grupo de Radiación,

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Submission Title: [Technical Requirements for VLC Applications] Date Submitted: [March, 2009] Source: [Dae-Ho Kim,

More information

inter.noise 2000 The 29th International Congress and Exhibition on Noise Control Engineering August 2000, Nice, FRANCE

inter.noise 2000 The 29th International Congress and Exhibition on Noise Control Engineering August 2000, Nice, FRANCE Copyright SFA - InterNoise 2000 1 inter.noise 2000 The 29th International Congress and Exhibition on Noise Control Engineering 27-30 August 2000, Nice, FRANCE I-INCE Classification: 7.6 EFFICIENT ACOUSTIC

More information

Optics Vac Work MT 2008

Optics Vac Work MT 2008 Optics Vac Work MT 2008 1. Explain what is meant by the Fraunhofer condition for diffraction. [4] An aperture lies in the plane z = 0 and has amplitude transmission function T(y) independent of x. It is

More information

Contents. MATH 32B-2 (18W) (L) G. Liu / (TA) A. Zhou Calculus of Several Variables. 1 Homework 1 - Solutions 3. 2 Homework 2 - Solutions 13

Contents. MATH 32B-2 (18W) (L) G. Liu / (TA) A. Zhou Calculus of Several Variables. 1 Homework 1 - Solutions 3. 2 Homework 2 - Solutions 13 MATH 32B-2 (8) (L) G. Liu / (TA) A. Zhou Calculus of Several Variables Contents Homework - Solutions 3 2 Homework 2 - Solutions 3 3 Homework 3 - Solutions 9 MATH 32B-2 (8) (L) G. Liu / (TA) A. Zhou Calculus

More information

Further Volume and Surface Area

Further Volume and Surface Area 1 Further Volume and Surface Area Objectives * To find the volume and surface area of spheres, cones, pyramids and cylinders. * To solve problems involving volume and surface area of spheres, cones, pyramids

More information

Vocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid

Vocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid CP1 Math 2 Unit 8: S.A., Volume, Trigonometry: Day 7 Name Surface Area Objectives: Define important vocabulary for 3-dimensional figures Find the surface area for various prisms Generalize a formula for

More information

Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave

Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave If light coming from infinity point source at infinity

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Title: 802.1 Cooperative Standards Efforts Date Submitted: September 2012 Source: Address: 170 W. Tasman Drive, San Jose

More information

Chapter 2 Research on Conformal Phased Array Antenna Pattern Synthesis

Chapter 2 Research on Conformal Phased Array Antenna Pattern Synthesis Chapter 2 Research on Conformal Phased Array Antenna Pattern Synthesis Guoqi Zeng, Siyin Li and Zhimian Wei Abstract Phased array antenna has many technical advantages: high power efficiency, shaped beam,

More information

Faculty of Engineering. Irrigation & Hydraulics Department Excel Tutorial (1)

Faculty of Engineering. Irrigation & Hydraulics Department Excel Tutorial (1) Problem Statement: Excel Tutorial (1) Create an Excel spread sheet that can calculate the flow area A, wetted perimeter P, hydraulic radius R, top water surface width B, and hydraulic depth D for the following

More information

Accurate and Robust. Shouhei Kidera and Tetsuo Kirimoto. University of Electro-Communications, Tokyo, JAPAN

Accurate and Robust. Shouhei Kidera and Tetsuo Kirimoto. University of Electro-Communications, Tokyo, JAPAN Accurate and Robust Automatic Target Recognition Method for SAR Imagery with SOM-based Classification Shouhei Kidera and Tetsuo Kirimoto University of Eleco-Communications, Toyo, JAPAN International Symposium

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs) Title: [Olympus MAC Proposal] Date Submitted: [May 2009] Source: [Gang Ding] Company [Olympus Communication Technology

More information

Contents. 1.3 Array Synthesis Binomial Array Dolph-Chebyshev Array... 16

Contents. 1.3 Array Synthesis Binomial Array Dolph-Chebyshev Array... 16 Contents 1 Phased Array Antennas 1 1.1 Introduction..................................... 1 1. Array Analysis................................... 1..1 Discretization of Continuous Sources...................

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Title: [VLC application trials] Date Submitted: [17 March, 2008] Source: [Dongjae Shin, D.K. Jung, Y.J. Oh, Taehan

More information

10.7. Polar Coordinates. Introduction. What you should learn. Why you should learn it. Example 1. Plotting Points on the Polar Coordinate System

10.7. Polar Coordinates. Introduction. What you should learn. Why you should learn it. Example 1. Plotting Points on the Polar Coordinate System _7.qxd /8/5 9: AM Page 779 Section.7 Polar Coordinates 779.7 Polar Coordinates What ou should learn Plot points on the polar coordinate sstem. Convert points from rectangular to polar form and vice versa.

More information

Math 136 Exam 1 Practice Problems

Math 136 Exam 1 Practice Problems Math Exam Practice Problems. Find the surface area of the surface of revolution generated by revolving the curve given by around the x-axis? To solve this we use the equation: In this case this translates

More information

Math 231E, Lecture 34. Polar Coordinates and Polar Parametric Equations

Math 231E, Lecture 34. Polar Coordinates and Polar Parametric Equations Math 231E, Lecture 34. Polar Coordinates and Polar Parametric Equations 1 Definition of polar coordinates Let us first recall the definition of Cartesian coordinates: to each point in the plane we can

More information

Chapter 15 Notes, Stewart 7e

Chapter 15 Notes, Stewart 7e Contents 15.2 Iterated Integrals..................................... 2 15.3 Double Integrals over General Regions......................... 5 15.4 Double Integrals in Polar Coordinates..........................

More information

Antenna Compliance Testing

Antenna Compliance Testing Application Note #0426 April 2012 Revised: Antenna Compliance Testing Application Note This application note will explain how to use the Compliance Testing module, which enables antenna measurements (gain,

More information

Mathematics Placement Assessment

Mathematics Placement Assessment Mathematics Placement Assessment Courage, Humility, and Largeness of Heart Oldfields School Thank you for taking the time to complete this form accurately prior to returning this mathematics placement

More information

Using a multipoint interferometer to measure the orbital angular momentum of light

Using a multipoint interferometer to measure the orbital angular momentum of light CHAPTER 3 Using a multipoint interferometer to measure the orbital angular momentum of light Recently it was shown that the orbital angular momentum of light can be measured using a multipoint interferometer,

More information

Investigation of a Phased Array of Circular Microstrip Patch Elements Conformal to a Paraboloidal Surface

Investigation of a Phased Array of Circular Microstrip Patch Elements Conformal to a Paraboloidal Surface Investigation of a Phased Array of Circular Microstrip Patch Elements Conformal to a Paraboloidal Surface Sharath Kumar Thesis submitted to the faculty of the Virginia Polytechnic Institute and State University

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs( WPANs) Title: [VLC application trials] Date Submitted: [17 March, 2008] Source: [Dongjae Shin, D.K. Jung, Y.J. Oh, Taehan

More information

AN acoustic array consists of a number of elements,

AN acoustic array consists of a number of elements, APPLICATION NOTE 1 Acoustic camera and beampattern Jørgen Grythe, Norsonic AS, Oslo, Norway Abstract The wavenumber-frequency response of an array describes the response to an arbitrary plane wave both

More information

Project: IEEE P Working Group for Wireless Personal Area Networks N

Project: IEEE P Working Group for Wireless Personal Area Networks N Project: IEEE P802.15 Working Group for Wireless Personal Area Networks N (WPANs) Title: [Olympus MAC Proposal] Date Submitted: [May 2009] Source: [Gang Ding] Company [Olympus Communication Technology

More information

MATH 010B - Spring 2018 Worked Problems - Section 6.2. ze x2 +y 2

MATH 010B - Spring 2018 Worked Problems - Section 6.2. ze x2 +y 2 MATH B - Spring 8 orked Problems - Section 6.. Compute the following double integral x +y 9 z 3 ze x +y dv Solution: Here, we can t hope to integrate this directly in Cartesian coordinates, since the the

More information

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P Working Group for Wireless Personal Area Networks (WPANs) Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: Proposed OFDM PHY resolution for HCS calculation Date Submitted: September 16, 2013 Source: Soo-Young Chang

More information

Bessel and conical beams and approximation with annular arrays

Bessel and conical beams and approximation with annular arrays September 25, 1997, TO BE PUBLISHED IN IEEE TRANS. UFFC 1 Bessel and conical beams and approximation with annular arrays Sverre Holm Department of Informatics, University of Oslo P. O. Box 18, N-316 Oslo,

More information

1 Double Integrals over Rectangular Regions

1 Double Integrals over Rectangular Regions Contents ouble Integrals over Rectangular Regions ouble Integrals Over General Regions 7. Introduction.................................... 7. Areas of General Regions............................. 9.3 Region

More information

UNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction

UNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction Prerequisite Skills This lesson requires the use of the following skills: understanding and using formulas for the volume of prisms, cylinders, pyramids, and cones understanding and applying the formula

More information

Single Slit Diffraction

Single Slit Diffraction Name: Date: PC1142 Physics II Single Slit Diffraction 5 Laboratory Worksheet Part A: Qualitative Observation of Single Slit Diffraction Pattern L = a 2y 0.20 mm 0.02 mm Data Table 1 Question A-1: Describe

More information

ADDITIONAL MATHEMATICS FORM 5 SBA

ADDITIONAL MATHEMATICS FORM 5 SBA ADDITIONAL MATHEMATICS FORM 5 SBA To determine the optimal angle, the sides of the trapezium should be bent to, in order to create the maximum carrying capacity. AIM OF PROJECT This project shows how realistic

More information

Modeling the Acoustic Scattering from Axially Symmetric Fluid, Elastic, and Poroelastic Objects due to Nonsymmetric Forcing Using COMSOL Multiphysics

Modeling the Acoustic Scattering from Axially Symmetric Fluid, Elastic, and Poroelastic Objects due to Nonsymmetric Forcing Using COMSOL Multiphysics Modeling the Acoustic Scattering from Axially Symmetric Fluid, Elastic, and Poroelastic Objects due to Nonsymmetric Forcing Using COMSOL Multiphysics Anthony L. Bonomo *1 and Marcia J. Isakson 1 1 Applied

More information

Submission Title: [A method for supporting communication and interoperability between legacy and standard devices] Date Submitted: [July, 2009]

Submission Title: [A method for supporting communication and interoperability between legacy and standard devices] Date Submitted: [July, 2009] Project: P802.15 WG for Wireless Personal Area Networks (WPANs) Title: [A method for supporting communication and interoperability between legacy and standard devices] Date Submitted: [July, 2009] Source:

More information

Voice:[ ], FAX: [ ], Re: []

Voice:[ ], FAX: [ ], Re: [] June 2010 Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: Resolution for acknowledgement frame (CID 653, 654, 655, 656) Date Submitted: 9 th July, 2010

More information

青藜苑教育 Volume of cylinder = r h 965 = r = 6 r 965 = r 9.98 = r = r So the radius of the cylinde

青藜苑教育 Volume of cylinder = r h 965 = r = 6 r 965 = r 9.98 = r = r So the radius of the cylinde 青藜苑教育 www.thetopedu.com 00-6895997 095457 Further Volume and Surface Area Objectives * To find the volume and surface area of spheres, cones, pyramids and cylinders. * To solve problems involving volume

More information

Examples from Section 7.1: Integration by Parts Page 1

Examples from Section 7.1: Integration by Parts Page 1 Examples from Section 7.: Integration by Parts Page Questions Example Determine x cos x dx. Example e θ cos θ dθ Example You may wonder why we do not add a constant at the point where we integrate for

More information

Light Sources for Monte Carlo Simulation. Contents

Light Sources for Monte Carlo Simulation. Contents Light Sources for Monte Carlo Simulation Contents 1.1. Point and Line Sources 1.1.1. Point Sources 1.1.1.1. Directional point source {DirectionalPointSource} 1.1.1.2. Isotropic point source {IsotropicPointSource}

More information

MATH 251 Fall 2016 EXAM III - VERSION A

MATH 251 Fall 2016 EXAM III - VERSION A MATH 51 Fall 16 EXAM III - VERSION A LAST NAME: FIRST NAME: SECTION NUMBER: UIN: DIRECTIONS: 1. You may use a calculator on this exam.. TURN OFF cell phones and put them away. If a cell phone is seen during

More information

Double Integrals over Polar Coordinate

Double Integrals over Polar Coordinate 1. 15.4 DOUBLE INTEGRALS OVER POLAR COORDINATE 1 15.4 Double Integrals over Polar Coordinate 1. Polar Coordinates. The polar coordinates (r, θ) of a point are related to the rectangular coordinates (x,y)

More information

Worksheet 3.4: Triple Integrals in Cylindrical Coordinates. Warm-Up: Cylindrical Volume Element d V

Worksheet 3.4: Triple Integrals in Cylindrical Coordinates. Warm-Up: Cylindrical Volume Element d V Boise State Math 275 (Ultman) Worksheet 3.4: Triple Integrals in Cylindrical Coordinates From the Toolbox (what you need from previous classes) Know what the volume element dv represents. Be able to find

More information

FRED Slit Diffraction Application Note

FRED Slit Diffraction Application Note FRED Slit Diffraction Application Note The classic problem of diffraction through a slit finds one of its chief applications in spectrometers. The wave nature of these phenomena can be modeled quite accurately

More information

IEEE P Wireless Personal Area Networks. TG9 KMP Minutes for November 2013 Plenary meeting, Dallas, TX USA

IEEE P Wireless Personal Area Networks. TG9 KMP Minutes for November 2013 Plenary meeting, Dallas, TX USA IEEE P802.15 Wireless Personal Area Networks Project Title Date Submitted Source Re: Abstract Purpose Notice Release IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) TG9 KMP Minutes

More information

Solutions For Homework #7

Solutions For Homework #7 Solutions For Homework #7 Problem :[ pts] Let f(r) = r = x2 + y 2 () We compute the Hankel Transform of f(r) by first computing its Abel Transform and then calculating the D Fourier Transform of the result.

More information