Sentence examples for symbol position is from inspiring English sources
First, a symbol position is selected for flipping based on the current symbol reliabilities.
When a certain symbol position is considered for flipping, a certain parity check may not be satisfied due to the erroneous symbols in positions other than the selected position.
Let us proceed to the last term of Equation (25), in which we insert Equation (22) and consequently the equality ĥ p, i = h p, i − n est, i, which states that the channel estimate at the pilot symbol position is given as the true channel superimposed by an estimation error.
In this work, we adopt the same concept as in the single-bit flipping algorithm of [2], where the flipped symbol position is selected based on the correlation among the symbols which depends on the structure of the code and the initial reliabilities of the symbols captured from the received values.
The resulting MSE at the pilot symbol positions is given as σ e p 2 = σ n 2 + σ ICI 2. (2.).
Note that due to Equation (8), it can be shown [1] that the MSE of the LS channel estimator at the pilot symbol positions is identical to the noise power σ n 2 for time-invariant channels.
The LS channel estimate at the pilot symbol positions is obtained by solving the following minimization problem H ~ ̂ p LS = arg min H ~ ̂ p y p − H ~ ̂ p x p 2 20 (20).
When the pilot symbol positions are selected according to (14), the Cramer-Rao bound (28) reduces to (29).
Assuming the pilot symbol positions are according to (14) with and, Figure 1 shows as a function of, with in the interval and.
Reliable detection is expected when the values of the decision variable at the synchronous (i.e., frame boundary) and asynchronous symbol positions are (i) sufficiently separated and (ii) distributed with small variances.
Note that there exists CP=64 in front of each data block; it is feasible to put a start position in the range of CP tolerance called R, which is R=CP−T M F S. Suppose that the true symbol beginning position is P T, then we treat it as a correct TS if (-Rleq hat {P}_{q}^{n'_{0}}-P_{T}leq 0).
