During an experiment we measure the amplitude of a signal and its phase.Some files were produced.After that we plot the values amplitude-freq and phase-freq.Now i have to apply the auto correlation on each frequency in order to calculate the coherence bandwidth using matlab. The textbooks are not very helpful.Is anybody can give me some hints?
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Indoor Radio Channel (2GHz)
- Thread starter quirk
- Start date
jbartos
Electrical
- Jan 15, 2000
- 6,440
Suggestion: The normalized version of cross-correlation function is called the coherence function. It is defined as:
Cf,g(u)=Hf,g(u)/[Hf(0) x Hg(0)]**0.5
with property of:
-1 <=Cf,g(u)<=+1 for all u
where
Hf,g=integral from -infinity to +infinity of [f(t)g(t-u)]dt=integral from -infinity to +infinity of [f(t-u)g(t)]dt
and
Hf(u)=integral from -infinity to +infinity of [f(t)f(t+u)]dt=integral from -infinity to +infinity of [(f(t-u)f(t)]dt
Hg(u)=integral from -infinity to +infinity of [g(t)g(t+u)]dt=integral from -infinity to +infinity of [g(t-u)g(t)]dt
Cf,g(u)=Hf,g(u)/[Hf(0) x Hg(0)]**0.5
with property of:
-1 <=Cf,g(u)<=+1 for all u
where
Hf,g=integral from -infinity to +infinity of [f(t)g(t-u)]dt=integral from -infinity to +infinity of [f(t-u)g(t)]dt
and
Hf(u)=integral from -infinity to +infinity of [f(t)f(t+u)]dt=integral from -infinity to +infinity of [(f(t-u)f(t)]dt
Hg(u)=integral from -infinity to +infinity of [g(t)g(t+u)]dt=integral from -infinity to +infinity of [g(t-u)g(t)]dt
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