Beamforming devices and methods
Devices and methods are provided for directionally receiving and/or transmitting acoustic waves and/or radio waves for use in applications such as wireless communications systems and/or radar. High directional gain and spatial selectivity are achieved while employing an array of receiving antennas that is small as measured in units of the wavelength of radio waves being received or transmitted, especially in the case of spatially oversampled arrays. Frequency/wavenumber, multi-dimensional spectrum analysis, as well as one-dimensional frequency spectrum analysis can be performed.
1. A system for coupling to an array of N antennas for receiving N signals, where N is a natural number greater than or equal to three, for receiving signals from a transmitting device, the device comprising:
circuitry for deriving digital data from the N antennas;
a spatial filter for receiving digital data from the sampling circuitry;
a spatial interpolator for receiving signals derived from the spatial filter and providing M interpolated signals using a Hermetic transform, where M>N, M representing a set of beams; and
a selector for selecting one of the beams to identify a location of the transmitting device.
2. The system of claim 1 , wherein the digital data includes in-phase and quadrature data.
3. The system of claim 1 , wherein the circuitry uses oversampling.
4. The system of claim 1 , wherein the interpolator applies a matrix based on a selected cost function.
5. The system of claim 4 , wherein the spatial filter uses pre-stored matrices.
6. A system for receiving signals from a transmitting device, the system for use with an array of N antennas receiving N signals, where N is a natural number greater than or equal to three, the device comprising:
a processor configured to:
sample data from the N antennas, and
use a Hermetic transform on the sampled data to form M beams, where M>N.
7. The system of claim 6 , wherein the processor is further configured to select one of the beams to identify a location of the transmitting device.
8. The system of claim 7 , wherein the received signals are RF signals received at a base station from a mobile device.
9. The system of claim 6 , wherein the antennas are arranged in a cylindrical array.
10. A method for receiving signals from a transmitting device using an array of N antennas, where N is a natural number greater than or equal to three, the method comprising:
sampling the signals from the N antennas to derive digital data from the N elements; and
using a Hermetic transform on the sampled data to derive M beams, where M>N.
11. The method of claim 10 , further comprising selection one of the beams to identify a location of the transmitting device.
12. The method of claim 10 , wherein the received signals are RF signals received at a base station from a mobile device.
13. The method of claim 10 , wherein the antennas are arranged in a cylindrical array.