Sentence examples for rm code from inspiring English sources

Mathematically, RM codes are best described using Boolean function as follows: 'The r th order binary RM code ℛ r, m) of block length n = 2 m, for 0 ≤ r ≤ m, is the set of all vectors f, where f(α 1, α 2, …, α m ) is a Boolean function which is a polynomial of degree at most r' [26], where m and r are any positive integer.

From our verification, the proposed BIJTs can be applied in areas such as 3GPP ultra mobile broadband permutation matrices design, RM code design, diagonal channel, MIMO 4G LTE Alamouti code, and precoding design.

Reed Muller (RM) codes of growing length n and distance d are considered over a binary symmetric channel.

Performance analysis for RM-code-based cooperative and non-cooperative schemes over the Rayleigh fading channel is presented in Section 6. Section 7 presents various Monte-Carlo simulations and shows the significance of the proposed RM coded-cooperative scheme.

In order to show the effect of cooperative diversity, and a suitable benchmark to the proposed RM coded-cooperative scheme, we consider a non-cooperative RM-code-based transmission scheme as shown in Figure 4. Figure 4 Non-cooperative RM transmission scheme.

To generalize the proposed RM coded-cooperative scheme, we examined different RM codes at the source and at the relay.

RM codes of length 2 m + 1 can be obtained via RM codes of length 2 m using Plotkin's construction.

Plotkin's construction allows RM codes to be used in a coded-cooperative scheme.

In Section 3, preliminaries related to the RM codes and Plotkin's construction are presented.

However, for RM codes, A w can also be determined analytically as suggested in [26].

Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure.