The transmitted signalis limited to a range from –B Hz to +B
Hz that means they are centered around zero.
f
|X(f)|
B
-B f
|X(f)|
fc
-fc
• Example baseband channels includes,
- copper cable, magnetic disk, CD-(ROM).
• Signal containing a band of frequencies not centered around zero,
simply a Band pass filtered signal is called bandpass signal.
Baseband signals Bandpass signals
0 0
Baseband Transmission
Low freq signals High freq signals
Baseband Transmission Model
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( ) k b
k
x t A g t kT
( ) ( ) k b
k
y t x t A g t kT
1
0
k
k
k
a if b
A
a if b
Where,
• If i=k then ISI becomes zero, this is the condition for zero ISI.
t= kTb
Probability of Error(Pe)
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• Noise interference leads to make wrong decision at the receiver and
to overcome this we calculate probability of error Pe at the receiver.
Where P0, P1 are probabilities of binary input signal.
and PE0, PE1 are probability of false alarm and missed detection.
But
Pe depends on SNR
8.
Baseband Signal Receiver
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A simple and basic detector for the detection of digital signals is nothing but a
Integrator & dump filter also called baseband signal receiver.
Optimum Receiver
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•Let us assume that the received signal is a binary waveform of
Polar NRZ signal,
for binary ‘1’; s1(t) = +A for one bit period ‘T”
for binary ‘0’; s2(t) = - A for one bit period ‘T”
• Thus input signal will be either s1(t) or s2(t) depending upon the
polarity of the NRZ signal.