Error probability bounds for systematic convolutional codes

E Bucher, J Heller - IEEE Transactions on Information Theory, 1970 - ieeexplore.ieee.org
Upper and lower bounds on error probability for systematic convolutional codes are
obtained. These bounds show that the probability of error for a systematic convolutional …

Sequential decoding of systematic and nonsystematic convolutional codes with arbitrary decoder bias

E Bucher - IEEE Transactions on Information Theory, 1970 - ieeexplore.ieee.org
This paper presents several results involving Fano's sequential decoding algorithm for
convolutional codes. An upper bound to the a th moment of decoder computation is obtained …

On the probability of error of convolutional codes

SS Pietrobon - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
New upper and lower bounds and approximations on the sequence, event, first event, and
bit-error probabilities of convolutional codes are presented. Each of these probabilities are …

Error exponents for product convolutional codes

C Medina, VR Sidorenko, VV Zyablov - Problems of Information …, 2006 - Springer
An upper bound on the error probability (first error event) of product convolutional codes
over a memoryless binary symmetric channel, and the resulting error exponent are derived …

Free distance bounds for convolutional codes

DJ Costello - IEEE Transactions on Information Theory, 1974 - ieeexplore.ieee.org
The best asymptotic bounds presently known on free distance for convolutional codes are
presented from a unified point of view. Upper and lower bounds for both time-varying and …

On decoding bit error probability for binary convolutional codes

R Johannesson, JL Massey… - 2000 IEEE International …, 2000 - ieeexplore.ieee.org
An explanation is given for the paradoxical fact that, at low signal-to-noise ratios, the
systematic feedback encoder results in fewer decoding bit errors than does a nonsystematic …

Tighter bounds on the error probability of fixed convolutional codes

K Engdahl, KS Zigangirov - IEEE Transactions on Information …, 2001 - ieeexplore.ieee.org
We introduce new upper bounds for the bit and burst error probabilities, when a
convolutional code is used for transmission over a binary input, additive white Gaussian …

Universally optimum block codes and convolutional codes with maximum likelihood decoding

T Hashimoto, S Arimoto - IEEE Transactions on Information …, 1980 - ieeexplore.ieee.org
A new proof is presented for the existence of block codes whose error probability under
maximum likelihood decoding is bounded asymptotically by the random coding bound …

On the weight distribution of terminated convolutional codes

MPC Fossorier, S Lin… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
In this correspondence, the low-weight terms of the weight distribution of the block code
obtained by terminating a convolutional code after x information blocks are expressed as a …

Active distances for convolutional codes

S Host, R Johannesson, KS Zigangirov… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
A family of active distance measures for general convolutional codes is defined. These
distances are generalizations of the extended distances introduced by Thommesen and …