The Researches Of Random Row-column Cyclic Shift Interleaver And Quantum Interleaver

In the fading channel, the traditional channel encoding method which can correct independent errors will not have satisfying performance for memory channel with long burst errors. Interleaver can change uncorrectable errors into correctable errors to enhance the performance of error-correcting codes. In a certain sense, the method using interleaver is a channel modification technology, which changes the burst-error channel into random-error channels and then improves the performance of error-correcting codes. We will give the designs of a classical interleaver and a quantum interleaver and present the corresponding researches.On one hand, for classical interleavers, we propose a novel design of interleaver with random row-column cyclic shift. It is simple in design and has superior performance. Considering the principles and requirements of interleaver design in Turbo coding scheme, we compare the performance our proposed interleaver with that for several traditional interleavers. At the same conditions, we find the Bit error rate (BER) performance of our interleaver is superior to that of block interleavers, random interleavers, normal row-column cyclic shift interleaver and cyclic shift interleaver. The BER performance of our interleaver approaches to that of Quadratic Permutation Polynomial (QPP) interleavers, where QPP interleavers are used in the channel coding scheme of next generation mobile communication systems. In our design, the process of interleaver is controlled by the random row-column cyclic shift numbers. In a certain sense, it has encryption protection features for channel information, which may be promoted to the practical application of communication systems.On the other hand, with the development of quantum information processing (QIP) technology, QIP technology has many theoretical studies, experimental demonstrations and practical applications. During the QIP, errors maybe occur due to the interaction between quantum systems and the environment. Similarly as that for classical case, quantum error-correcting coding is an effective method to correct errors. We design a quantum interleaver based on random row-column cyclic shift, which can enhance the error correcting capability without increasing the redundancy encoding. Further more, we discuss the simplified model for the quantum interleaver.