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The other signal subspace is left free of interference for the desirable signal.
Note that x[ n-L+1] is the desirable signal (delayed by L-1 samples), and -c ∗ L x[ n+1] is the residual ISI due to the approximation in the precursor equalizer.
In order to best match the given input signal class or the application, many parametric transforms [10 15] with matrices associating a set of parameters are presented to fit the desirable signal by choosing appropriate parameters.
With the similar terminologies used in deriving the uncertainty principle of the STFT in Appendix [17], the uncertainty principles of the LPFTs of various orders are given in Section 2. Section 3 discusses the effects of various issues on obtaining desirable signal representations in the time-frequency domain.
Because of the limitation of inaccurate measurement as well as all kinds of noises and perturbs in underwater environment, it is inevitable for us to receive the desirable signal with noise and have the uncertainties in modeling real ocean environment [2].
Under the channel uncertainty model, our objective is to maximize the achievable secrecy rate at D in (9) by jointly optimizing the beamforming vector w of the desirable signal and the transmit covariance Ω of the jamming signal at R subject to the information rate constraint in (10) and its total transmit power constraint at R in (11).
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As a result, a desirable "signal-on" ECL immunosensor was proposed for the detection of MUC1 with a wide linear range from 1 × 10−5 ng mL−1 to 10 ng mL−1 and a relatively low detection limit of 3.3 fg mL−1 (S N−1 = 3), making this approach hold great potential for protein analysis.
We show that for a large range of parameters both systems produce sharp switchlike response and yet allow for temporal integration of the signal, two desirable signaling properties.
Nevertheless, a smile within a medical consultation may convey various desirable signals, such as encouragement, sympathy, or understanding [ 34].
From a pharmacological perspective, it raises the intriguing possibility that specific compounds could be developed, which block the activation of an undesirable signalling pathway at a single chemokine receptor but leave intact the ability to activate a desirable signalling pathway.
On one hand, the decreasing of sample points is desirable for signal processing.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com