Sentence examples for mean random processes from inspiring English sources

where and are position measurements for each dimension and and are assumed to be zero mean random processes that are treated as process noise.

We take L SR = L RD = 4 and the coefficients of S → R and R → D are generated as low-pass, Gaussian and zero mean random processes and correlated in time with the correlation functions according to Jakes' model[26].

The channel is assumed with, and the coefficients are generated as low-pass, Gaussian, and zero-mean random processes and correlated in time with the correlation functions according to Jakes' mode where is the Doppler frequency associated with the th user.

This type of noise can be represented as a normal distribution (Gaussian), zero-mean random process.

We consider random channels where represents a two-dimensional zero-mean random process complying with the WSSUS model.

Consider a passband jamming signal with central frequency, modeled as a continuous-time wide-sense stationary zero-mean random process with bandwidth and the power spectral density (30).

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).

It will be shown that these properties hold for random processes that are constructed by a linearly filtered white zero-mean random process (u_{k}=A[!x_{k}]=sum _{m=0}^{P} a_{m} x_{k-m}), whose only conditions are that: Driving process assumptions (A1a): begin{array}{*{20}l} m_{mathrm{x}}^{(2)}&=&Eleft[{x_{k}^{2}}right]=1 end{array} (9).

Let t be the integer-valued time-index of the length n WSS zero-mean random process θ with autocovariance sequence r: (1) r τ = E θ t θ t + τ − E θ t E θ t + τ, = E θ t θ t + τ.

Here the chirp rate is. is a complex additive noise, generated via two independent, zero-mean, Gaussian random processes of equal variance.

The channel impulse responses h r (t) and h s,i (t) are assumed to be zero-mean Gaussian random processes.