The blue-colored seismograms in the first column of the figure are the low-frequency SGF simulations, and the red-colored seismograms are the filtered simulations derived by using the filter function shown in Fig. 9.
Fourier coefficients of the clock components of each gene are modulated by the weight of the corresponding frequency components, as given by Eq. 4: (4) G ^ c = w c G c c ∈ c _ m i n, c _ m a x The tapering filtering results in clock-frequency expression patterns that are noise reduced and with less artifacts caused by a discontinuity in the filter function.
The topology induced by a distance matrix can be described by a filter function, which assigns to every sample a value (phenotypic outcome, viral load, etc).. First, the topological space is decomposed into overlapping subsets using level sets of the filter function.
Use the filter function smartly.
Early demonstrations of this framework applied to the simple case of implementing the protected identity operator to qubits by dynamical decoupling [15, 43 47], where the filter functions could be calculated for pure dephasing in a straightforward manner using concepts of linear control [42].
The HAP-RM model is based on the process of sound transfer and perception in the human auditory system by combining the structural filtering function and nonlinear perception characteristics of the ear.
It can be seen that the designed weights of H f) for the target range bins are larger and even be 1, while the ones for the other range bins are much smaller and even be 0. Finally, the jamming and noise are suppressed after multiplying the HRRP of the received returns by the designed filter function.
Hence, the final signal can be expressed as follows: where the ranges of integration of θ, φ are confined by Ω, and T denotes the bandpass filtering function of the tunable filter.
In an ideal stable filter, the output should asymptotically approach a steady-state level, which is determined by the filter transfer function [35].
Then, deramp operation is performed by constructing a filtering function at the azimuth center, {H}_{mathrm{Deramp}}left({f}_r, tright)= expleft{ j2pi frac{f_r+{f}_c}{c}{A}_0 tright}.
