[Show abstract][Hide abstract] ABSTRACT: We consider a half-duplex broadband relay channel which is composed of L parallel, independent Rayleigh fading relay channels. Partial channel state information in the form of channel state amplitudes is available at the transmitters while the receivers have perfect channel state information. We assume a long term total average power constraint at the source and the relay. We dynamically allocate the power and the relay transmission time to improve the delay limited capacity or alternatively to decrease the outage probability. We analyze multi-hop (MH) and opportunistic decode-and-forward (ODF) protocols for the broadband relay channel and propose various subchannel resource allocation strategies. Simulation based performance comparisons also include the modified cut-set bound.