notes7 - ECE 562 Fall 2011 Optimum Reception in AWGN ◦...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 562 Fall 2011 September 20, 2011 Optimum Reception in AWGN ◦ Restricting to the case of memoryless modulation with no ISI (ideal AWGN channel), we can focus on one symbol interval [0 ,T s ] without loss of optimality. We will also assume perfect syn- chronization at the receiver to begin the analysis. The received signal model in AWGN is then r ( t ) = s ( t ) + w ( t ) ≤ t ≤ T s The signal s ( t ) ∈ { s 1 ( t ) ,...,s M ( t ) } , and the goal of the receiver is to determine which symbol m (equivalently, which signal s m ( t )) was sent on the channel. Without the additive noise, this is a trivial problem as long as the signals are different, i.e., d km 6 = 0, for k 6 = m . What do we do in the presence of noise? As we saw in class, the optimum receiver can be split into two steps: ◦ Step 1: Demodulation. Projection of r ( t ) on to basis functions f 1 ( t ) ,...,f L ( t ) of the signal space to form the vector of sufficient statistics : R = [ R 1 R 2 ...R L ] > , R ` = h r,f ` i ◦ Step 2: Detection. Decide which symbol was sent based on R ....
View Full Document

This document was uploaded on 02/08/2012.

Page1 / 3

notes7 - ECE 562 Fall 2011 Optimum Reception in AWGN ◦...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online