ece4305_L14

# ece4305_L14 - Matched Filter Receiver Realization ECE4305:...

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Matched Filter Receiver Realization ECE4305: Software-Deﬁned Radio Systems and Analysis Professor Alexander M. Wyglinski Department of Electrical and Computer Engineering Worcester Polytechnic Institute Lecture 14 Professor Alexander M. Wyglinski ECE4305: Software-Deﬁned Radio Systems and Analysis

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Matched Filter Receiver Realization Problem Formulation An Example Overall Design Basic Problem I We need some sort of way of detecting a pulse transmitted over a channel corrupted by noise I Suppose we transmit a pulse signal g ( t ) through an additive channel with noise w ( t ), which produces the output x ( t ): x ( t ) = g ( t ) + w ( t ) , for 0 t T (1) I The signal g ( t ) may represent a “1” or a “0” in a digital communication system I The signal w ( t ) is a sample function of a white noise process of zero mean and power spectral density of N 0 2 I Assume that the receiver has knowledge of all the possible waveforms g ( t ) Professor Alexander M. Wyglinski ECE4305: Software-Deﬁned Radio Systems and Analysis
Matched Filter Receiver Realization Problem Formulation An Example Overall Design Detecting g ( t ) I The function of the receiver is to detect the pulse signal g ( t ) in an optimal manner given the received signal x ( t ) I To achieve this, let us ﬁlter x ( t ) in order to minimize the eﬀects of the noise in some statistical sense I We want to enhance the probability of correct detection I Suppose the output of the ﬁlter h ( t ) is

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## This note was uploaded on 01/13/2011 for the course ECE 4305 taught by Professor Wy during the Spring '10 term at WPI.

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ece4305_L14 - Matched Filter Receiver Realization ECE4305:...

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