The approximation in (13) and the proposed decoding scheme in general may not be valid for a generic system matrix H k. As shown in Figure 3, the banded sparse structure of the system matrix reduces the residual ICI and CAI interference upon multiple iterations.
This assumption is valid for a practical system where the applicability of source phase pre-rotation is limited due to the unavailable ideal feedback channel or because of the undesirable delay induced by the feedback in the pre-rotation operation.
Notice that the approximation in (8) may not be valid for a generic system matrix H k. It fits the scenario, however, of doubly selective OFDM channels, where the magnitude of the off-diagonal elements in the frequency domain is significantly smaller than that of the main-diagonal elements.
We find that the predictions from the study of isolated model chromosomes are still valid for a dense system of chromatin.
The analysis in this section is valid for any system, depending or not on a parameter n.
Using those equations, an analytical estimate of the fourth body effect valid for any system of primaries is derived.
The results presented in this work are in terms of non-dimensional parameters of the system and are, therefore, valid for any system under consideration.
However, assuming only a residual CFO, the impacts of the intercarrier interference (ICI) and SNR loss introduced by the CFO mismatch on a multi-carrier system are negligible compared to the negative impact of phase offset, i.e., the proposed derivations are also valid for a multi-carrier system.
A trial solution, E y = e ζz cos νx, valid for a line current system, is substituted into Eq. (3) to give left[ {frac{{partial^{2} }}{{partial x^{2} }} + frac{{partial^{2} }}{{partial z^{2} }}} right]left( {{text{e}}^{zeta z} cos nu x} right) = left[ { - nu^{2} + zeta^{2} } right]left( {{text{e}}^{zeta z} cos nu x} right) = {text{i}}omega mu_{o} sigma left( {{text{e}}^{zeta z} cos nu x} right).
