Abstract: A system includes a first low noise amplifier, a second low noise amplifier, a local oscillator, a signal splitter, a first mixer, a second mixer, an analog to digital converter, a digital channelizer and beam-former and a phase error correcting component. The phase error correcting component is configured to generate a first phase error correction coefficient and a second phase error correction coefficient. The digital channelizer and beam-former includes a polyphase filter and a time division multiplexer. The time division multiplexer is configured to output a beam-formed received signal based on a first modified filtered signal and the second modified filtered signal.

Abstract: A method includes generating at least one matrix representing a two-port, generating gain, noise, and stability functions of a system comprising the two-port, a generator connected to one port of the two-port, the generator having a generator reflectance, and a load connected to the other port of the two-port, the load having a load reflectance, and optimizing the gain, noise, and stability functions. The two-port comprises a non-reactive multi-port modeled by an orthogonal matrix, and at least one amplifier connected to the non-reactive multi-port. The orthogonal matrix is parameterized using an exponential map of skew-symmetric matrices having components restricted to an interval from ?? to ?. The gain, noise, and stability functions are generated using the generated matrix, the generator reflectance, and the load reflectance, The gain, noise, and stability functions are parameterized by the skew-symmetric matrices.

Abstract: A method is provided for determining an optimal performance of a lossless circuit. In one embodiment, the number of inductors and capacitors contained in a circuit of interest are input, and then a random search of a plurality of lossless circuits, each having the same number of inductors and capacitors, is conducted. Then, the electrical load used by the circuit of interest is input into each of the plurality of lossless circuits. The method then searches for a circuit of the plurality of lossless circuits having the smallest mismatch between the electrical load and the circuit's input reflectance. The circuit having a lowest mismatch between the input electrical load and the circuit's input reflectance is then determined.

Abstract: A predictor allows the computation of the greatest lower bound of the noise figure pertaining uniformly over the operating band of a wideband amplifier. This computation is done directly from noise-parameter data of the amplifier.

Abstract: A predictor for optimal transducer power gain computes the maximum transducer power gain attainable by a lossless matching network for a given load operating over selected non-overlapping (disjoint) sub-bands within a frequency band of operation.

Abstract: A predictor for optimal broadband impedance matching of the present invention computes the maximum value of transducer power gain possible for any impedance matching network for a given transmission line, load, and frequency band.