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In this thesis, we study differential modulation schemes which do not needchannel knowledge at the transmitter nor at the receiver. First, we considersingle-antenna systems and investigate the use of Differential Amplitude PhaseShift Keying (DAPSK) modulation. We study the use of Multiple-SymbolDifferential Detection (MSDD) to bridge the performance gap between coherentand non-coherent systems and remove the error floor associated with fast-fadingchannels. Second, we consider multi-antenna systems to combat fading andimprove the transmission reliability. The resulting performance improvement(known as diversity) does not require additional bandwidth nor power. Achievingdiversity using multiple antennas at the receiver (receive diversity) is provedto be a much simpler task than using multiple antennas at the transmitter(transmit diversity). However, in downlink mobile communications, mountingmultiple antennas on the receiving mobile handsets results in an increase inthe size and cost of mobiles. This motivates the need of transmit diversity,which can be achieved by a technique known as Space-Time Coding (STC). In thisthesis, we investigate a class of ST codes known as Orthogonal Space-Time BlockCodes (OSTBC), which achieves a good performance with linear decodingcomplexity. As an attempt to increase the data rate, the orthogonalityrequirement of OSTBCs is relaxed leading to the so-called Quasi-OrthogonalSTBCs (QOSTBC). Recently a new class of QOSTBCs known as Minimum DecodingComplexity QOSTBCs (MDC-QOSTBC) has proved to increase the data rate with thesame complexity requirement of OSTBCs. In this thesis, we propose the use ofMDC-QOSTBC in differential non-coherent systems and show that their performanceis remarkably better than that of differential OSTBCs.

Investigations on Increased Data rate Differential Space-Time Block Codes for Single Carrier Wireless Systems