Title :
A Different Approach to the Dimensionality of Wave Fields
Author :
Nagy, Oliver ; Craven, Leon ; Hanlen, Leif
Author_Institution :
NICTA, Australian Nat. Univ., Canberra, ACT
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;
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
DOI :
10.1109/AUSCTW.2009.4805600
