The sum of L independent random variables as defined by ? = L l = 1 ?k is often encountered in…
The sum of L independent random variables as defined by
_ = L _ = 1 _k is often encountered in applications in
multipath channels where _k represents the SNR of a multipath component.
This corresponds to a receiver which combines the SNRs of the received
multipath components. The pdf f_(_) of the sum _ is given by
(11.218) for Rayleigh fading when _k have identical mean values. The bit
error performance of such systems for some coherent modulation systems require the
evaluation of the following integral:
where _ = 2 for BPSK and _ = 1 for coherent binary
orthogonal FSK. In the
The sum of L independent random variables as defined by
_ = L _ = 1 _k is often encountered in applications in
multipath channels where _k represents the SNR of a multipath component.
This corresponds to a receiver which combines the SNRs of the received
multipath components. The pdf f_(_) of the sum _ is given by
(11.218) for Rayleigh fading when _k have identical mean values. The bit
error performance of such systems for some coherent modulation systems require the
evaluation of the following integral:
where _ = 2 for BPSK and _ = 1 for coherent binary
orthogonal FSK. In the litterature, there are mainly three formulas for the
integrals above
Show that these three equations are identical. Hint: You may
use (D.27).
