We present a new class of asymptotically good, linear error-correcting codes. These codes can be both encoded and decoded in linear time. They can also be encoded by logarithmic-depth circuits of linear size and decoded by logarithmic depth circuits of size 0 (n log n). We present both randomized

of these tools is a new optimizer generator. Data model, logical algebra, physical algebra, and optimi-zation rules are translated by the optimizer generalor into optimizer source code. Compared with our earlier EX-ODUS optimizer generator prototype, the search engine is more extensible and powerful; it provides

still requires O(L · n2) time, which is in stark contrast with the O(n logn) complexity of the original successive-cancellation decoder. We utilize the structure of polar codes to overcome this problem. Specifically, we devise an efficient, numerically stable, implementation taking only O(L · n logn

reformulations and architectural techniques. In particular, an area efficient message memory architecture is proposed to reduce the area of the proposed decoder architecture. An efficient path pruning unit suitable for large list size is also proposed. For a polar code of length 1024 and rate 1 2, when list size

In the high--level synthesis of ASICs or in the code generation for ASIPs, the presence of conditionals in the behavioral description represents an obstacle to exploit parallelism. Most existing methods use greedy choices in such a way that the search space is limited by the applied heuristics

, the proposed space-time polar coded modulation (STPCM) scheme allows a joint optimization of the binary polar coding, modulation and MIMO transmission. In addition, a practical solution of polar code construction over the fading channels is also provided, where the fading channels are approximated by an AWGN

, as experience becomes practice by its rooting in cultural codes. Networks and Cultural Transformation Culture was historically produced by symbolic interaction in a given space/time

of the algorithm. The time required varies from an average of one-tenth of one second per variable to an unknown maximum, again depending on the pruning threshold. These data suggest that 50 and 2000 are both good choices of pruning threshold, depending on whether speed or precision is more important.

Abstract Over the past several years, diversity methods such as space, time, and polarization diversity have been successfully implemented in wireless communications systems. Orthogonal space-time block codes efficiently combine space and time diversity, and they have been studied in detail

-compensated coding, the performance and efficiency of a real-time system is highly dependent on the accura...