Systems and method for determining frequency coefficients of signals
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United States of America Patent
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Feb 15, 2022
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app pub date -
Jan 25, 2017
filing date -
Jan 25, 2017
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Abstract
A system for determining the frequency coefficients of a one or multi-dimensional signal that is sparse in the frequency domain includes determining the locations of the non-zero frequency coefficients, and then determining values of the coefficients using the determined locations. If N is total number of frequency coefficients across the one or more dimension of the signal, and if R is an upper bound of the number of non-zero ones of these frequency coefficients, the systems requires up to (O (R log(R) (N))) samples and has a computation complexity of up to O (R log2(R) log (N). The system and the processing technique are stable to low-level noise and can exhibit only a small probability of failure. The frequency coefficients can be real and positive or they can be complex numbers.
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