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However, as commented in Section 1.3, in all experimental evaluations, the IA precoders were always applied at the transmitters before the IFFT on a per-subcarrier basis in the frequency domain, whereas at the receivers, the decoders are applied either in the time domain (pre-FFT decoding) or in the frequency domain (post-FFT decoding).
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In the FMLR algorithm, the F͡ operator converts discrete basis functions in the time domain to discrete basis functions in the frequency domain.
In the FMLR algorithm, the F ^ d operator converts discrete basis functions in the time domain (see Table 2) to discrete basis functions in the frequency domain.
The rapid thermoelastic expansion of the stressed tissue generates acoustic waves that propagate in the tissue with orders of magnitude weaker scattering than light scattering on a per-unit-path-length basis in the acoustic frequency of interest and are detected by an ultrasonic transducer or a transducer array3,4.
The MDCT analysis of a sinusoid is the basis of the frequency estimator in the MDCT domain.
Since we focus on band-limited signals, we also want the basis to be compact in the frequency domain.
One may summarize the problems with the spherical harmonic representation by pointing out that though the basis functions are well-localized in the frequency domain, they are not at all localized in the spatial domain.
2D orthonormal basis functions with four bumps in the frequency plane can be formed by individually taking products of 1D wave packets.
The combination of Equations (3) and (4) provides basis functions with two bumps in the frequency domain, symmetric with respect to the origin and thus directional wave packets oscillate in one single direction.
On the basis of this and the peak in the frequency of KS values between A. duranensis and A. ipaensis being 0.035, the divergence of the two species was estimated as occurring ∼2.16 million years ago (Fig. 3 and Supplementary Figs. 21 and 22). Figure 3: Mutations and genome duplications.
The theoretical basis for SR is best explained in the frequency domain [4, 16].
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