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 system comprising:
circuitry for deriving digital data from the N antennas;
a spatial filter derived from one or more Hermetic Transforms for obtaining signals from the circuitry;
a spatial interpolator comprised of a matrix of complex values for receiving signals derived from the digital data and providing M interpolated signals, where M>N, M representing a set of beams;
a selector for selecting one of the beams to identify a location of the transmitting device; and
a second spatial filter for receiving output signals derived from the spatial interpolator, and a second spatial interpolator for receiving the filtered signals from the second spatial filter and providing P beams, where P>M.
2. The system of claim 1 , wherein the system is adapted to receive radiofrequency (RF) signals.
3. A method for receiving signals from a transmitting device, the receiving for use with an array of N antennas for receiving N signals, where N is a natural number greater than or equal to three, the method comprising:
sampling the signals to derive digital data from the N elements;
spatial filtering with a spatial filter derived from one or more Hermetic Transforms for filtering sampled signals;
spatially interpolating with a spatial interpolator comprised of a matrix of complex values the N signals to provide M interpolated signals, where M>N, M representing a set of beams; and
selecting one of the beams to identify a location of the transmitting device.
4. The method of claim 3 , wherein the interpolating includes applying a matrix based on a selected cost function.
5. The method of claim 3 , wherein the sampling includes spatial oversampling.
6. A method for receiving signals from a transmitting device, the receiving operable with an array of N antennas providing N signals, where N is a natural number greater than or equal to three, the method for receiving comprising:
sampling the signals to derive digital data from the N elements;
spatial filtering with a spatial filter derived from one or more Hermetic Transforms for obtaining signals from a desired sector;
spatially interpolating with a spatial interpolator comprised of a matrix of complex values the N signals to provide M interpolated signals, where M>N, M representing a set of beams;
selecting one of the beams to identify a location of the transmitting device; and
a second spatial filtering for receiving output signals derived from the spatial interpolating, and a second spatial interpolating for receiving the filtered signals from the second spatial filtering and providing P beams, where P>M.
7. The method of claim 5 , wherein the interpolating includes applying a matrix based on a selected cost function.