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doi: 10.1109/18.370151
A method for suppressing the interference by biased nonlinearities is presented. The memoryless nonlinearity taken into account is of the form \(y(x) = (|x |- \xi)^\nu\) for \(|x |> \xi\), and \(y(x) = 0\) for \(|x |\leq \xi\), where \(\xi > 0\) and \(\nu\) a positive number greater than \(-1\). For this case \(y\) can be represented in terms of \(x\) by \[ y(x) = {2 \over \pi} \Gamma (\nu + 1) \int^\infty_0 \cos \left( v \xi + {\nu \pi \over 2} \right) \sin (vx) {dv \over v^{\nu + 1}}, \] where \(\nu >-1\) and \(\Gamma\) is the Gamma function. This representation was first given by S. O. Rice and has the following computing advantage: when \(x\) is a sum of sinusoids, the integral can be developed into an (infinite) sum of sinusoids of combination frequencies and the weighting coefficients are Bessel depending on the weighting coefficients entering the sum representing the input signal \(x\). Several interesting relations are derived showing the possibility of reducing interference in some cases. The paper is of interest for researchers working in the areas of interference and spread spectrum communication and represents a fair performance in handling special functions and their integral representations.
Signal theory (characterization, reconstruction, filtering, etc.), integral representation of signals, interference of signals, Inference from stochastic processes and spectral analysis, spread spectrum communication
Signal theory (characterization, reconstruction, filtering, etc.), integral representation of signals, interference of signals, Inference from stochastic processes and spectral analysis, spread spectrum communication
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 11 | |
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influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |