Next generation wireless communication systems demand both high transmission rates and a quality-of-service (QoS) guarantee. Cooperative communication is a promising technique that can provide both advantages for a wireless network as cooperation between nodes can increase the overall reliability and spectral efficiency through cooperative diversity and increasing the total degrees of freedom (DoF). Diversity-multiplexing tradeoff (DMT) captures the inherent tradeoff between reliability and transmission rate of the system in high signal-to-noise ratio (SNR) regime and is considered as a powerful tool to evaluate the performance of different communication schemes. Nodes in a network can operate either in full-duplex or in half-duplex modes. In the full-duplex mode simultaneous transmission and reception of data is allowed, while this operation is not possible in the half-duplex mode. On the other hand, transmitting and receiving in full-duplex mode, while being more spectral efficient, it is less implementable in a practical system. The complementary advantages and disadvantages of each mode, raises the possibility of the communication networks containing both full-duplex and half-duplex nodes. In this thesis, a network consisting a source and a destination that are connected with two non-interfering relays in a diamond structure is proposed, with one relay being full-duplex while the other one being restricted to operate in half-duplex mode; hence the name hybrid diamond relay channel is used to refer to this network. We study the DMT of hybrid diamond relay channel, when all nodes are equipped with single antenna and have local receive channel state information (CSI). Furthermore, all the channels are assumed to be quasi-static flat-fading with independent Rayleigh distributions. DMT cut-set upper-bound for this network is formulated as an optimization problem when the half-duplex relay listens for a fixed fraction of the codeword length and transmits during the remaining part. This optimization problem is then divided to four sub-optimization problems and the DMT cut-set upper-bound is derived as the minimum of the four solutions. It is shown that this upper-bound is achievable by the quantize-map-and-forward (QMF) strategy. The DMT of static QMF (SQMF) and dynamic QMF (DQMF) strategies with optimal listen-transmit scheduling are formulated as two optimization problems, which are then solved analytically in some specific regimes and evaluated numerically in the remaining ones. Finally, by comparing the obtained results with the DMT of SQMF strategy in the equivalent half-duplex network and the DMT of equivalent full-duplex network, more light is shed on the effect of duplexing and dynamic/static scheduling on the DMT of diamond relay channels. 1- Diversity-Multiplexing Tradeoff 2-Rayleigh Fading 3-Diamond Relay Channel 4-Half-/Full- Duplex 5-Quantize-Map-and-Forward