Performance Analysis of Orthogonal Binary Signals with Matched Filters 2.9 2001/06/28 2005/09/20 11:58:13.348 GMT-5 Behnaam Aazhang aaz@ece.rice.edu Dinesh Rajan dinesh@ece.rice.edu Mohammad Jaber Borran mohammad@ece.rice.edu Roy Ha rha@rice.edu Shawn Stewart mrshawn@alumni.rice.edu Behnaam Aazhang aaz@ece.rice.edu analysis antipodal binary symbol bit-error bit-error probability correlator error matched filter orthogonal receiver signal Bit-error analysis for an orthogonal binary signal set by using a matched filter receiver. r t Y Y 1 T Y 2 T If s 1 t is transmitted Y 1 T τ s 1 τ h 1 opt T τ ν 1 T τ s 1 τ s 1 * τ ν 1 T E s ν 1 T Y 2 T τ s 1 τ s 2 * τ ν 2 T ν 2 T If s 2 t is transmitted, Y 1 T ν 1 T and Y 2 T E s ν 2 T .

H0 Y E s 0 ν 1 ν 2 H1 Y 0 E s ν 1 ν 2 where ν 1 and ν 2 are independent are Gaussian with zero mean and variance N 0 2 E s . The analysis is identical to the correlator example. P e Q E s N 0 Note that the maximum likelihood detector decides based on comparing Y 1 and Y 2 . If Y 1 Y 2 then s 1 was sent; otherwise s 2 was transmitted. For a similar analysis for binary antipodal signals, refer here. See or .