Devices and methods using the Hermetic Transform
Systems and methods are described using a Hermetic Transform, as well as related transforms, for applications such as directional reception and/or transmit of signals using phased-array devices and systems. The systems and methods an include identifying a direction of arrival for a mobile communicating device.
1. A system comprising:
a plurality of N elements for receiving signals;
analog to digital circuitry for processing the received signals to produce digital signals;
a processor for receiving signals corresponding to a plurality of beam directions and forming the signals in a matrix, including for one beam direction, setting values to zero to derive a covariance matrix from signal arrivals from other beam directions other than the one direction, and deriving a beam vector from a signal vector and the covariance matrix.
2. The system of claim 1 , wherein the processor performs the functions of setting values to zero to derive the covariance matrix from signal arrivals for from other beam directions other than the one direction, and deriving a beam vector from a signal vector and the covariance matrix, for a plurality of beam directions.
3. The system of claim 1 , wherein the elements include antennas.
4. The system of claim 1 , wherein the system receives and processes I&Q data.
5. The system of claim 1 , wherein the system is operatively coupled to a cellular base station for identifying a direction of arrival of one or more mobile units.
6. A method comprising:
receiving analog signals with a plurality of N elements;
processing the received signals to produce digital signals;
receiving signals corresponding to a plurality of beam directions and forming the signals in a matrix, including for one beam direction, setting values to zero to derive a covariance matrix from signal arrivals from other beam directions other than the one direction; and
deriving a beam vector from a signal vector and the covariance matrix.
7. The method of claim 6 , wherein the setting values to zero to derive the covariance matrix is performed from signal arrivals from other beam directions other than the one direction, further comprising deriving a beam vector from a signal vector and the covariance matrix, for a plurality of beam directions.
8. The method of claim 6 , wherein receiving analog signals includes receiving wireless signals with antennas.
9. The method of claim 6 , wherein the beam vector is used to identify a direction of arrival of one or more mobile units in a cellular system.