A Different Approach to the Dimensionality of Wave Fields

Author

Nagy, Oliver ; Craven, Leon ; Hanlen, Leif

Author_Institution

NICTA, Australian Nat. Univ., Canberra, ACT

fYear

2009

fDate

4-7 Feb. 2009

Firstpage

56

Lastpage

60

Abstract

We find the number of essential Fourier coefficients required to synthesise an arbitrary wave field composed of plane waves from any directions. While other authors have presented these results before, their treatment drew on advanced mathematically concepts involving Bessel functions and spherical harmonics. In contrast, we show that it is easy and intuitive to analyse the same problem in rectangular coordinates to obtain similar outcomes. A numerical comparison between plane wave fields and cylindrical/spherical wave fields shows that the results for the former also hold well for the latter.

Keywords

Bessel functions; Fourier analysis; numerical analysis; signal reconstruction; Bessel function; Fourier coefficient; cylindrical wave field; plane wave field; rectangular coordinate; signal reconstruction; spherical harmonic; spherical wave field; wave field synthesis; Antenna arrays; Australia Council; Bandwidth; Broadband communication; Equations; Fourier series; Government; Network synthesis; OFDM; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications Theory Workshop, 2009. AusCTW 2009. Australian

Conference_Location

Sydney, NSW

Print_ISBN

978-1-4244-3356-8

Electronic_ISBN

978-1-4244-3357-5

Type

conf

DOI

10.1109/AUSCTW.2009.4805600

Filename

4805600