José Bernardo Mariño Acebal

Reduction of individual sampling rates by generalizing quadrature methods of separate interpolation

The limitations of sampling a bandpass signal at the (on the average) Nyquist rate and the possibility of equivalent low pass processing have stimulated research toward obtaining a separate interpolation for the in‐phase and quadrature components of the signal. Known results are to sample at a half the Nyquist rate of these in‐phase and quadrature components, or, under Brown’s condition, ω0 = kσ/2 (where ω0 and σ are the center angular frequency and the angular bandwidth of the signal, respectively, and k is an integer), to sample at the same rate the signal and its Hilbert transform or the signal and the signal delayed π/2ω0. Grace and Pitt [J. Acoust. Soc. Am. 44, 1453 (1968)] and Brown [IEEE Trans. Aerosp. Electron. Syst. AES–15, 366 (1979); J. Acoust. Soc. Am. 67, 1959 (1980)] have worked in the last direction, that has been generalized by the authors [Proc. First European Conf. Signal Proc., 197, Lausanne (1980)] to consider two general linear functionals of the signal. In this paper, the possibility...