Abstract: A Least Mean Squares (LMS) polynomial estimator is disclosed. The LMS polynomial estimator may be a LMS moving window polynomial estimator capable of performing real-time polynomial estimation and evaluation of successive time derivatives of a function of a single variable up to a specified polynomial order. The estimator makes a unique use system memory that allows for the evaluation of the least squares normal equations with a very low computational footprint. This allows the estimator to be realizable in computationally-constrained environments such as embedded systems. The LMS polynomial estimator may be implemented in a frequency estimator for estimation of the phase, frequency, Doppler, delta Doppler, and/or higher order time derivatives of phase. Estimates may be performed in real time, running at the same rate as the inbound signal.

Abstract: A non-transitory computer-readable medium, method, and system for processing a first data stream being in a first format from a link, the first data stream having a plurality of frames, each frame having a fixed frame length; selecting a plurality of sections of the first data stream based on a harmonic pattern of the first format, each selected section being separated from a neighboring selected section by a fixed separation length that is a whole number multiple of the fixed frame length; and creating a second data stream in a second format that includes a contiguous sequence of the selected sections. The second data stream can be further processed to acquire frame alignment with a reduction of required processing power.

Abstract: A non-transitory computer-readable medium, method, and system for processing a first data stream being in a first format from a link, the first data stream having a plurality of frames, each frame having a fixed frame length; selecting a plurality of sections of the first data stream based on a harmonic pattern of the first format, each selected section being separated from a neighboring selected section by a fixed separation length that is a whole number multiple of the fixed frame length; and creating a second data stream in a second format that includes a contiguous sequence of the selected sections. The second data stream can be further processed to acquire frame alignment with a reduction of required processing power.

Abstract: Disclosed is a system and method for joint source-channel encoding, symbol decoding and error correction, preferably utilizing an arithmetic encoder with operational error detection space; and a combination sequential, and arithmetic, encoded symbol decoder structure.

Abstract: Disclosed is a system and method for joint source-channel encoding, symbol decoding and error correction, preferably utilizing an arithmetic encoder with operational error detection space; and a combination sequential, and arithmetic, encoded symbol decoder means.

Abstract: Disclosed is a A system and method for joint source-channel encoding, symbol decoding and error correction, preferably utilizing an arithmetic encoder with operational error detection space; and a combination sequential, and arithmetic, encoded symbol decoder structure.