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The phase lock loop provides estimates of the phase of the incoming modulated signal. A phase ambiguity of exactly is a common occurance in many phase lock loop (PLL) implementations.
Therefore it is possible that, without the knowledge of the receiver. Even if there is no noise, if then and if then .
In the presence of noise, an incorrect decision due to noise may results in a correct final desicion (in binary case, when thereis phase ambiguity with the probability:
Consider a stream of bits and BPSK modulated signal
In differential PSK, the transmitted bits are first encoded
with initial symbol (
Transmitted DPSK signals
The decoder can be constructed as
If two consecutive bits are detected correctly, if and then
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