Orthogonal and projected orthogonal matched filter ... - EE, Technion

3 downloads 0 Views 352KB Size Report
aDepartment of Electrical Engineering, TechnionIsrael Institute of Technology, Technion City, Haifa 32000, Israel. bResearch Laboratory of Electronics, ...
Signal Processing 84 (2004) 677 – 693

www.elsevier.com/locate/sigpro

Orthogonal and projected orthogonal matched #lter detection Yonina C. Eldara;∗;1 , Alan V. Oppenheimb , Dianne Egnorc a Department

b Research

of Electrical Engineering, Technion—Israel Institute of Technology, Technion City, Haifa 32000, Israel Laboratory of Electronics, Massachusetts Institute of Technology, Room 36-615, Cambridge, MA 02139, USA c BAE Systems, P.O. Box 868, MER15-2350, Nashua, NH 03061-0868, USA Received 27 June 2002; received in revised form 25 November 2003

Abstract This paper considers the generic problem of detecting in the presence of additive noise, which one from a set of known signals has been received. In place of the classical matched #lter (MF) receiver we propose a modi#ed receiver. When the transmitted signals are linearly independent this receiver is referred to as an orthogonal matched #lter (OMF) receiver, and when the transmitted signals are linearly dependent it is referred to as a projected orthogonal matched #lter (POMF) receiver. Two equivalent representations of the receiver are developed with di