Research On Array Pairs Correlation Theory And Its Application In Spread Spectrum Communication System

The design theory of sequences and arrays plays an increasingly important role in modern communications, radar, sonar, navigation, space ranging and controlling, and electronically countermeasures systems etc. Well-structured sequence and array signals can improve system's properties of anti-interference, anti-noise, anti-doubts, the decline of performance and achieve spread spectrum multiple access communication. Therefore, an in-depth study of these signals is of vital importance both in theory and applications.The thesis mainly studied various kinds of signals based on array pair correlation theory.Firstly, the periodic correlation bounds of binary sequence pair is educed, which provide the theory foundation for further research of binary sequence pair sets with good correlation property.Generalized pseudorandom punctured binary sequence pair along with the transformation properties and combinatorial limited conditions are presented. Some generalized pseudorandom punctured binary sequence pairs are searched out, and is compared with pseudorandom binary sequence pair. This concept is extended to generalized pseudorandom punctured binary array pair which is a kind of multi-dimension signal. The equivalent transformation properties, spectrum character and combinatorial limited conditions are discussed also. Based on these conditions, several generalized pseudorandom punctured binary array pairs with small volumes are obtained. The folding construction method is presented.Periodic punctured binary complementary sequence pair set is proposed. The equivalent transform properities and relation with aperiodic punctured binary complementary sequence pair set are studied. Many construction methods are presented, such as using perfect punctured binary sequence pair and array pair, column orthogonal matrix, periodic punctured binary complementary sequence pair set's mate and periodic product methods etc.Under odd-periodic correlation condition, the odd-periodic punctured binary complementary sequence pair set is proposed. The properities of punctured binary sequence pair's odd-periodic correlation function, the equivalent transformation properties of odd-periodic punctured binary complementary sequence pair set and relations with aperiodic and periodic punctured binary complementary sequence pair set are presented also. Odd-periodic punctured binary complementary sequence pair sets are searched out, and several construction methods are proposed. The result shows that it has larger exist space compared with odd-periodic binary complementary sequence set.The binary complementary array pair set is proposed also. The aperiodic correlation properities of binary array pair and binary complementary array pair set's equivalent transformation properties are studied, and find that changing dimension doesn't affect its complementary properity. Some binary complementary array pair sets are obtained, and many kinds of construction methods are proposed. The synthesized methods of mutual orthogonal binary complementary array pair set are studied also, through this method amount of mutual orthogonal binary complementary array pair set with larger numbers and volumes can be obtained.The construction method of ZCZ sequence pair set is studied based on perfect sequence pair and orthogonal matrix, and analyzed its application in QS-CDMA system. The result shows that it has good performance, satisfies the requirement of multi-user communication, and has certain application foreground. The design scheme of spread-spectrum system based on sequence pairs is discussed.