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Calculating combined amplitude and phase modulated power signal parameters

Calculating combined amplitude and phase modulated power signal parameters,10.1109/PES.2011.6039442,Gerard N. Stenbakken

Calculating combined amplitude and phase modulated power signal parameters  
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T() [] () [] ) ( , + + + + = () [] () [] ) ( . − + + = () [] () ) ( . ∠ + = () [] () () ) ( . ) + + − + ∠ + + = () ( ) ) ( . + + = () ) ( . + − = () ( ) ( ) ) ( , − ∠ − + ∠ = () [] () ) ( . + + = () [] [] ) ( . − − + + + + = () [] ) ( . + + = () ( ) [] () ( ) [] () [] [] () ( ) [] () [] [] () ( ) [] () [] [] ], ) ( + − − − + + + − − + + + + − − − + + + = () () () () ) ( , ! , ! , ! , ≅ ≅ ≅ − ≅ () [] () [] , + + + + = () ( ) [ () () ( ) [] ) ( . ⎥ + − − − + + = () ( ) [ () ( ) ( ) ] ) ( . − + = () ( ) ( ) ) ( . − ∠ − + ∠ = () [ () [] () () [] () () [] . ) ( ⎥ ⎤ + − + + + + + + + = () [ () [] () () [] () () [] . ) ( ⎥ ⎤ − + − + − − + − − = − − () [ () [] () () [] () () [] . ) ( ) ( ) ( ⎥ + + − + + − + + + + + + = + − () ( ) [ () [] () () [] () () [] . ) ( ) ( ) ( ⎥ ⎤ + − + − + − − − − + − − = + − − − () [ () ( ) () () ( ) () () ( ) ]. ) ( + − + + + + = − () [ () ( ) () () ( ) () () ( ) ]. ) ( + − + + + + = − ≅ [ () ( ) () ( ) ] ) ( , + + + ≅ − [ () ( ) () ( ) ] ) ( . + + + ≅ − ) ( . || || ⊥ = ⊥ = + + () ( ) () ()( ) () . || , || ) ( || || , / , / ⎟ ⎞ ⎜ ⎛ ⊥ ≅ ⎟ ⎞ ⎜ ⎛ ⊥ ≅ ⊥ + ≅ + ⊥ ≅ () () ( ) () ) ( || , / + ⊥ = () ) ( ! ! ! ! . − + − = () ( ) () ( ) () ) ( . . + + ≅ () ( ) ( ) ( ) () ) ( . − − ⊥ = () ( ) () () ) ( . || ⎟ ⎞ ⎜ ⎛ − − ⊥ =
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