Impulse radio ultra wideband (IR-UWB) communication is becoming an important technology for future Wireless Personal Area Networks (WPANs). One of the critical challenges in IR-UWB system design is the inter-pulse interference (IPI). A Transmit-reference (TR) receiver is proposed to completely remove the IPI especially at low input frame energy-tonoise-ratio ( E f /N o ) values. This receiver is based on the using of a modified version of Hadamard matrix to yield a biorthogonal coded words instead of orthogonal ones. On the other hand, from the complexity view, the proposed TR receiver in this paper has high complexity as compared with the balanced coded orthogonal TR receiver proposed recently but it outperforms it.