This takes N real multiplications for each Doppler test, if all the FFT bins are used.
Generally, we evaluate the number of arithmetic operations in terms of complex additions and multiplications for each node at each iteration.
For 4 sources recorded by a 16-element microphone array,,, the average computation involves about 7200 complex-valued multiplications for each sample time (with 16 sample points).
For clear comparison a summarized number of complex additions and multiplications for each of our used test scenarios and use-cases is shown.
The calculation of ML-based ordering has a modest cost in (18), which only needs (vert mathcal {R} vert (i+1)) multiplications for each layer.
Computing the correlations in (19) requires a total of real operations (additions plus multiplications) for each RX branch, while operations are needed to obtain in (23).
From Equations (8)–(11), the whole procedure to update the missing points based on the EM algorithm requires approximately of 6N × M additions and 4N × M multiplications, a total of 10N × M operations (either addition or multiplications) for each iteration.
To calculate the vector (mathbf {d}_{n}^{(R)}) according to the PPN (Equation 15), the following number of real-valued flops are necessary: 2M real-valued multiplications for each of the K terms and M complex-valued additions for each of the K−1 couples of vectors to be summed.
Because the computation of the frequency-dependent matrix (mathcal {E} (epsilon bar {mathbf {P}}(L mathcal {E}^{H} epsilon)), which requires ( N^{2}{N_{r}^{2}}) complex multiplications for each ε, is very time-consuming, we rewrite the cost function in (7) as: C epsilon)=mathbf{a}^{H} epsilon mathbf{D}_{mathbf{y}}^{H}bar{mathbf{P}} (L mathbf{D}_{mathbf{y}}mathbf{a} epsilon), (9).
Clearance could also be described by estimation of different multiplication factors for each of the six times of drug administration (Supplementary Figure 2 c), resulting in similar variation over the 24-hour period as the cosine model.
