In this paper, we show that a set of multicarrier code-division multiple access (MC-CDMA) signals using a set of discrete prolate spheroidal sequences achieves 95% of the maximum spectral efficiency at the out-of-band energy of 0.1% and the bandwidth-duration product of 45.25 with an orthogonalizing truncation. It is shown that the density ρ of carriers plays an important role in accurately estimating the out-of-band energy of the signals based on the corresponding eigenvalues and in achieving a small out-of-band energy. We also show that ρ should be chosen such that ρ≥4 or ρ≥8. To perform numerically stable eigenanalysis, we employ the technique of singular-value decomposition.
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