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Joseph Boccuzzi

"Signal Processing for Wireless Communications"

However, we did not discuss the crosscorrelation
of the different multipath faded signals. It is well known that the issue with the Jakes model
is that there can be significant cross-correlation between the different generated signals [131, 132].
And when these correlated multipath signals are used to characterize a RAKE receiver demodulating
many multipaths or a spatial diversity receiver, then the system BER results will be slightly
worse than the truly uncorrelated model and thus bias results in a possibly conservative manner.
3.8.2 Modified Jakes Fading
In this section we will discuss a suggested method to modify the Jakes model to have the desired
cross-correlation properties. These models will prove to be useful in FSF channels and antenna diversity
receivers. We will briefly present a few modified Jakes models. First we will start with the one
proposed by [135].
By adjusting the multipath arrival angles and the use of some special sequences we have
(3.93)
With  independent random phases that are uniformly distributed and the following:
; (3.94)
In this model orthogonal functions (Walsh-Hadamard sequences, Ak(n)) weight the sinusoids before
summing to generate the uncorrelated waveforms.
The next model we will review is the Li & Huang [136].


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