Orthogonal signals with jointly balanced spectra: Application to cdma transmissions

EURASIP Journal on Wireless Communications and Networking

Table 1 Energy balancing algorithm

- Set U = U₀, with $U_{0}^{T} U_{0} = I$ ,
M = U^TDU
- Iterations:
while $\sum_{i = 1, L} \|M_{i i} - \bar{d}\| \geq ε$ ,
loop a = 1 → L - 1
loop b = a + 1 → L
$θ = \frac{1}{2} arctan (\frac{M_{a a} - M_{b b}}{M_{a a} + M_{b b}})$
M = R^(a,b)(θ)M R^(a,b)(-θ)
U = U R^(a,b)(-θ)
end loop b
and loop a
end while
W = VU,