A Study on The Determinant Spectrum and Performance of STTC on Slow Fading Channels

ABSTRACT: Wireless communication has faced fading which is one of the major problems. Fading is a result of multipath signals, multi-input multi-output MIMO system is used to minimize the effect of this phenomenon. MIMO is meant to be more than one copy of the same information that is sent by more than one transmitter antenna. Space-Time Trellis Codes (STTCs) are a technique which can be used to enhance the performance of wireless communications systems over fading channels. It is combination of space and time diversity. It provides capacity benefits in fading channels, and helps to improve the reliability and the data rate of wireless communication. Several researchers have undertaken the construction of Space-Time Trellis Codes. The Rank and Determinant Criteria (R&DC) and Euclidean Distance Criteria (EDC) have been developed as design criteria. In this thesis, the effect of determinant spectrum on code design and performance of Space-Time Trellis codes (STTCs) are discussed. Some new 4-state and 8-state 4-PSK and 8-state 8-PSK are constructed as well. The determinant spectrum and the simulation results indicate that the new constructed codes are superior in performance to some existing STTC schemes for a small number of independent subchannels. It is also important to note that many error events and not only the first one are dominating the performance of STTC on a slow fading channel. Keywords: STTCs, Determinant spectrum, Error event, Distance matrix. …………………………………………………………………………………………………………………………