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Matched Filter Receiver Realization
ECE4305: SoftwareDeﬁned Radio Systems and
Analysis
Professor Alexander M. Wyglinski
Department of Electrical and Computer Engineering
Worcester Polytechnic Institute
Lecture 14
Professor Alexander M. Wyglinski
ECE4305: SoftwareDeﬁned Radio Systems and Analysis
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View Full Document 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: SoftwareDeﬁned 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.
 Spring '10
 Wy

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