Sentence examples for exponential arguments from inspiring English sources

Ideally, if the DPDs of a given microphone geometry and wavelength result in the complex exponential arguments distributed uniformly from-π to π over all pairwise microphones, the expected power is zero when targeting r i [16].

Since summations will always be maximized when r s  = r i (exponential arguments are all zero), the optimization strategy can be reduced to minimize the maximum value of S(r i,r s ) when r s  ≠ r i for all r s and r i in the FOV.

Even if the sound source localization errors result in small dislocations between the true target source position and the beamformer focal point, r s = r i + Δ r error ≈ r i, as long as the DPD variance is much smaller than the wavelengths of significant speech signal frequencies, the phases of exponential arguments are still limited to a small range and result in significant coherent sums.

If capture occurs, d f <l, and hence, the exponential argument is positive.

If d f >l, the exponential argument is negative and hence small, so the first term is approximately k 1.

Note that Δ pq (r i,r s ) is the exponential argument in Equation (7) without the wavelength scaling.

But this does not change the estimator, as seen from (5), since this will only introduce a negative sign in the exponential argument.

In these cases, Pielou's evenness index does not correlate as well with the beamforming gain as in Figure 7(b) because the 2π modularity of the exponential argument.

Otherwise, it can be observed that |H i (e jω )| and |F i (e jω )| only differ in a scaling factor and the sign of the power of the complex exponential argument.

At high temperatures, when the thermal energy kBT is much greater than the spacing hν between energy levels, the exponential argument βhν is much less than one and the average energy becomes kBT, in agreement with the equipartition theorem (Figure 10).

A simplified description is provided in Figure 1, where it has to be noted that the premodulation corresponds to a single multiplication by an exponential which argument depends on the phase term ν m,n and on the prototype length.