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Substituting (1) into the above equation, we arrive at the desired result.
By substituting (1) into (2), the following dynamic relationship is obtained.
Substituting (1) and (3) in the first line of (4), we can write (A1).
Substituting (1) and (10) into (9a) yields (11) (shown on the top of next page).
For an MDFT modulated filter bank, substituting (1) and (3) into (6), we get (7).
Substituting (1) into (3), R xx can be written as: (4).
Similar(23)
Substituting (1 - 2) into (7) and assuming and yields (8).
Substituting (1 - 2) into (25) and assuming ideal FCFO compensation, we obtain (26).
Then use (12) substituting (1-lambda ) by (lambda ) and (p_{H}) by (p_{L}): begin{aligned} s=frac{w-nleft( 1-p_{L}right) -p_{L}ell -frac{alpha }{lambda }}{p_{L}} text end{aligned}Notice that the slope is (left( 1-p_{L}right) /p_{L}).
Indeed (_{alpha}D^{1}) and (_{alpha}D^{2}) can be computed by substituting (1-d) and 1 in equation (33) instead of l (note that to achieve (_{alpha}D^{2}) a suitable change of variable is needed to transform the time interval ([1-d,1]) to ([0,1]) before approximation).
substituting (14) into (13).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com