id: 01782535 dt: j an: 01782535 au: Takeshita, Oscar Y.; Costello, Daniel J.jun. ti: New deterministic interleaver designs for turbo codes. so: IEEE Trans. Inf. Theory 46, No.6, 1988-2006 (2000). py: 2000 pu: Institute of Electrical and Electronics Engineers (IEEE), New York, NY la: EN cc: ut: permutations; pseudo-random sequences; quadratic congruences; turbo codes; interleavers; capacity ci: li: doi:10.1109/18.868474 ab: Summary: It is well known that an interleaver with random properties, quite often generated by pseudo-random algorithms, is one of the essential building blocks of turbo codes. However, randomly generated interleavers have two major drawbacks: lack of an adequate analysis that guarantees their performance and lack of a compact representation that leads to a simple implementation. In this paper we present several new classes of deterministic interleavers of length $N$, with construction complexity $O(N)$, that permute a sequence of bits with nearly the same statistical distribution as a random interleaver and perform as well as or better than the average of a set of random interleavers. The new classes of deterministic interleavers have a very simple representation based on quadratic congruences and hence have a structure that allows the possibility of analysis as well as a straightforward implementation. Using the new interleavers, a turbo code of length 16384 that is only 0.7 dB away from capacity at a bit-error rate (BER) of $10^{-5}$ is constructed. We also generalize the theory of previously known deterministic interleavers that are based on block interleavers, and we apply this theory to the construction of a nonrandom turbo code of length 16384 with a very regular structure whose performance is only 1.1 dB away from capacity at a BER of $10^{-5}$. rv: