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Exact(14)
For the sake of simplicity, showing the fact that the input distribution that maximizes the mutual information varies with the turbulence strength and the SNR, the statistical channel model can be rewritten as (13).
By multiplying both sides of (1) by Q H, the system model can be rewritten as follows: begin{array}rcl@ mathbf{q} = mathbf{R}mathbf{s} + mathbf{v}, end{array} (11).
Then, let (boldsymbol {B}_{n}=boldsymbol {D}_{n}left (:,mathscr {I}_{n}right),:n=1,2,ldots,N), then the received signal model can be rewritten as hat{boldsymbol{y}}=left(boldsymbol{B}_{N}otimesboldsymbol{B}_{N-1}otimesldotsotimesboldsymbol{B}_{1}right boldsymbol{s}_{nz}, (14).
Using the matrix notations X = x 1, x 2, …, x J, X ^ = x ^ 1, x ^ 2, …, x ^ J, and Y = y 1, y 2, …, y J, the above model can be rewritten as X ^ = min X Y − DX ℱ 2 subject to X 0 ≤ JK (2).
Thus, the received symbol and the system model can be rewritten as y ̃ ( t ) = Q ( t ) H y = R Π ( t ) H x + Q ( t ) H n = R x ̃ ( t ) + n ̃ ( t ) (7). without impairing the receiver performance as long as the AWGN is spatially i.i.d., since n ̃ is still Gaussian with R n ̃ = Q H ( t ) R n Q ( t ) = N 0 I.
The I-V model can be rewritten in terms of drain voltage Vd, source voltage Vs, and gate voltage VG that is expressed by I ds V G, V d, V s = G ON k B T q log 1 + exp q E F − V sc V G, V d, V s / k B T − G ON k B T q log 1 + exp q E F − V sc V G, V d, V s − V d − V s / k B T, (7).
Similar(46)
For computational purposes, piecewise exponential models can be rewritten as Poisson models [ 25], greatly simplifying estimation.
The previous expression, for example, can be rewritten as (x+3)(x+3).
Model (1.1) can be rewritten as (3.6).
Thus, the DQ model (4) can be rewritten in a linearized form as (5).
The model (2.3) can be rewritten the following matrix form: (25).
More suggestions(15)
model can be altered
equation can be rewritten
model can be revised
model can be restated
model can be revisited
example can be rewritten
models can be rewritten
model can be described
model can be formulated
model can be copied
model can be simplified
model can be extended
model can be implemented
model can be replicated
model can be thought
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com