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Typically, x0 contains an unwanted additive disturbance signal d 0 = [ d 0 T ( 0 ), d 0 T ( 1 ), …, d 0 T ( N - 1 ) ] T ∈ ℂ J N × 1 with unknown space-time covariance matrix R ∈ ℂ J N × J N and may contain a target signal α s with deterministic but unknown complex amplitude, α, and known target space-time steering vector s = [ s T ( 0 ), s T ( 1 ), …, s T ( N - 1 ) ] T ∈ ℂ J N × 1.
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where v t), assumed to be a zero-mean random process, is the unwanted additive noise that can be either white or colored but is uncorrelated with x t).
where v(k) is the unwanted additive noise which is assumed to be uncorrelated with x(k).
If the bandwidth of the BPF is greater than the OFDM signal's bandwidth, then portions of the UWB noise waveform surrounding the OFDM signal is drawn into the OFDM demodulation process, thus causing unwanted additive UWB noise signal energy to be present in the demodulator output.
Many of them have unwanted additives that give off a faint aroma, so if used, they should be white all over before you start grilling.[7] Lump charcoal burns hotter, is easier to adjust the temperature, and is all-natural.
Mayor Michael R. Bloomberg has made both public health and public education centerpieces of his tenure, and the changes in the schools' food are an outgrowth of his efforts to curb trans fats, salt and other unwanted additives.
First, they're usually packed with lots of unwanted additives and impossible-to-pronounce ingredients.
To avoid unwanted additives in store-bought alternative milks, Schapiro recommends making your own (there are a wealth of recipes on the Internet, and most involve blending the "source" of the milk -- say, cashews, or almonds -- with water).
An unwanted pregnancy is an unwanted pregnancy.
What if those unwanted gifts also bring an unwanted message?
By definition, nobody welcomes an unwanted pregnancy.
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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