Analysis of recursive convolutional codes and turbo codes as sources with memory
Authors: Valeriu Munteanu, Daniela Tarniceriu, Lucian Trifina
Abstract:
The paper proposes a general method to analyze discrete sources with memory. Besides the classical entropy, we define new information measures for discrete sources with memory, similar to the information quantities specific to discrete channels. On the base of this method, we show for the first time that, as result of convolutional and turbo encoding, sources with memory are obtained. We apply this information analysis method for the general case of a recursive convolutional encoder of rate RCC = 1/n0 and memory of order m, and for a turbo encoder of rate RTC = 1/3, with two systematic recursive convolutional component encoders. Each component encoder has memory of order m, and is built based on the same primitive feedback polynomial. For the convolutional and turbo codes, the information quantities H(Y/S), H(S,Y), H(S/Y), H(Y), H(S) and I(S,Y) have been computed, where S and Y denote the set of states and the set of messages of the encoder, respectively. The analysis considered two cases: n0 ≤ m + 1 and n0 > m + 1. When n0 = m + 1, the mutual information I(S,Y) is maximum and equal to m, as is the entropy of the set of states. For turbo codes, the quantity I(S,Y) also depends on the input bit and on its probability.
Keywords:
Markov sources
Convolutional codes
Turbo codes
Entropies
Published in: AEÜ-International Journal of Electronics and Communications (Volume 67, Issue 5, May 2013)
Publisher: Elsevier
ISSN Information: 1434-8411
Analysis of recursive convolutional codes and turbo codes as sources with memory
- Vòng Sơ Khảo Cuộc Thi Đại Sứ Văn Hóa Đọc Năm 2024
- Hoạt động chào mừng "Ngày sách Việt Nam 21/4/2024"
- Ngày hội văn hóa đọc lần V
- Cuộc Thi Ảnh “Khoảnh Khắc VNUHCM Libraries”
- Ngày hội văn hóa đọc lần II
- Ngày hội văn hóa đọc lần IV
- Ngày hội văn hóa đọc lần III
- Tiếp GS Omer Mert Denizci, Trường ĐH Marmara Thổ Nhĩ Kỳ
- Tiếp Cô Claudia Tarzariol Từ The University Of Trento, Italy (Unitrento)
- Tiến sĩ kiều bào Mỹ tặng sách trị giá 150.000 USD cho sinh viên bách khoa
- Khảo sát ý kiến bạn đọc
-
Trực tuyến:9
-
Hôm nay:2354
-
Tuần này:13461
-
Tuần trước:40192
-
Tháng trước:46254
-
Tất cả:4035357