Tighter bounds on the error probability of fixed convolutional codes

Improved closed-form bounds on the performance of convolutional codes with correlated Rayleigh fading

New bounds on the probability of bit error are presented for a coded communication system with binary antipodal modulation and soft-decision maximum-likelihood decoding over a correlated Rayleigh-fading channel. The bounds are closed-form expressions in terms of the code’s transfer function; they are illustrated by considering a system using convolutional encoding. A long-standing conjecture re...

On the weight distribution of terminated convolutional codes

terleaved over L = 3 channel blocks for four different Rician factors = 0; 5; 10; and infinity (= additive white Gaussian noise (AWGN) channel). The code polynomials in octal are (133; 145; 175). Here the union bounds are truncated at d max = 42. 4 The traditional bounds (7) get tighter for increasing values of and finally coincide with the modified bound for = 1 (AWGN channel) with which no av...

A new upper bound on the first-event error probability for maximum-likelihood decoding of fixed binary convolutional codes

An upper bound on the first-event error probability for maximum-likelihood decoding of fixed binary convolutional codes on the binary symmetr ic channel is derived. The bound is evaluated for rate 1 / 2 codes, and comparisons are made with simulations and with the bounds of Viterbi, Van de Meeberg, and Post. In particular, the new bound is significantly better than Van de Meeberg’s bound for ra...

New Decoding Error Probability Bounds for Fixed Convolutional Codes used in BSC

Improved upper bounds on the ML decoding error probability of parallel and serial concatenated turbo codes via their ensemble distance spectrum

The ensemble performance of parallel and serial concatenated turbo codes is considered, where the ensemble is generated by a uniform choice of the interleaver and of the component codes taken from the set of time varying recursive systematic convolutional codes. Following the derivation of the input-output weight enumeration functions of the ensembles of random parallel and serial concatenated ...