Angular correlation properties with random multiple scattering
IEEE Transactions on Signal Processing
Space-time duality in multiple antenna channels
IEEE Transactions on Wireless Communications
Physical limits to the capacity of wide-band Gaussian MIMO channels
IEEE Transactions on Wireless Communications
The capacity of wireless networks: information-theoretic and physical limits
IEEE Transactions on Information Theory
Degrees of freedom of a communication channel: using DOF singular values
IEEE Transactions on Information Theory
Spherical harmonic analysis of wavefields using multiple circular sensor arrays
IEEE Transactions on Audio, Speech, and Language Processing
Signal recovery with cost-constrained measurements
IEEE Transactions on Signal Processing
Sound field reproduction using planar and linear arrays of loudspeakers
IEEE Transactions on Audio, Speech, and Language Processing
Spherical statistics and spatial correlation for multielement antenna systems
EURASIP Journal on Wireless Communications and Networking
Wavefield Analysis Over Large Areas Using Distributed Higher Order Microphones
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
| Hi-index | 35.81 |
We study the dimensions or degrees of freedom of farfield multipath that is observed in a limited, source-free region of space. The multipath fields are studied as solutions to the wave equation in an infinite-dimensional vector space. We prove two universal upper bounds on the truncation error of fixed and random multipath fields. A direct consequence of the derived bounds is that both fixed and random multipath fields have an effective finite dimension. For circular and spherical spatial regions, we show that this finite dimension is proportional to the radius and area of the region, respectively. We use the Karhunen-Loegraveve (KL) expansion of random multipath fields to quantify the notion of multipath richness. The multipath richness is defined as the number of significant eigenvalues in the KL expansion that achieve 99% of the total multipath energy. We establish a lower bound on the largest eigenvalue. This lower bound quantifies, to some extent, the well-known reduction of multipath richness with reducing the angular power spread of multipath angular power spectrum