Assuming a constant [Math Processing Error]ϕr, we can simplify further by introducing a complex valued constant [Math Processing Error]η=a2(1+γeiϕr): [Math Processing Error]y=|u1+ηu2eiϕc|2, (3) that is, the prediction is given by the interference between [Math Processing ...
Using this algorithm we solved the openrnproblem of existence of complex valued WBE sequence sets withrnconstant chip magnitude in the simplex case. The results arernderived in the context of synchronous code division multiplernaccess (CDMA) channels and a numerical ...
Fundamental theorem of algebra- letp(z)be non-constant complexpolynomial. Then there exists aξ∈\Csuch thatp(ξ)=0. Consequently, a complex polynomial of degree N > 1 has exactly N roots counted with multiplicity. § 2.1 differentiation of complex valued functions ...
关键词: backpropagation convergence feedforward neural nets neural net architecture signal processing transfer functions backpropagation complex-valued signals constant envelope signal processing convergence speed DOI: 10.1109/NNSP.2000.889414 被引量: 49 ...
Thus, the FastICA performance matches the KSICA performance for a time constant above 1 s. Finally, in an online application with a moving speech source, the KSICA method provides 10 dB higher interference suppression, compared to the FastICA for the same algorithm settings. All in all, the...
We gen- eralize TReLU through three modifications: a) a learned complex-valued scaling factor for each input channel, en- abling the layer to adapt to input magnitude and phase, b) hyperparameter r to control the magnitude threshold, and c) learned scaling constant for the outpu...
Much of the current research on multitapering has been focusing on reducing the proportionality constant implicit in the term O(1/b/sup 2/). In this letter, we show how-with the use of complex-valued tapers-the bias of the spectral estimator can be reduced by orders of magnitude becoming...
Both real valued functions u and υ may be regarded as functions of x and y, and we can also write, (1.20)f(z)=u(x,y)+iv(x,y). For example, in case f(z) = z2, we have u(x, y) = x2 − y2 and υ(x, y) = 2xy. The complex number z may be visualized as the...
(2) |ϕ|2 is constant. (3) ϕ(x)≠0 for all x∈M. As an obvious consequence we have the following. Corollary 4.3 If ϕ:M→C is a complex-valued (λ,μ)-eigenfunction on a compact and connected Riemannian manifold (M, g) such that λ≠μ, then there exists x∈M such th...
Consider a two-neuron complex-valued neural network with constant delay Global [mu]-stability of complex-valued neural networks with unbounded time-varying delays Xiao-hui, "Synchronization of complex-valued neural network with sliding mode control," Journal of The Franklin Institute, vol. Impulsive ...