We propose combining the Capon and the APES spectral estimators for estimat
ion of both the amplitude and the frequency of spectral lines. The so-obtai
ned estimator does not suffer from Capon's biased amplitude estimates nor f
rom APES' biased frequency estimates or resolution problem. Furthermore, th
e combined estimator is computationally simpler than APES and has about the
same complexity as Capon. Numerical simulations are presented illustrating
the increased performance.