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 ...
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...
Projection rule for complex-valued associative memory with large constant terms Complex-valued Associative Memory (CAM) has an inherent property of rotation invariance. Rotation invariance produces many undesirable stable states and re... M Kitahara,M Kobayashi - 《Nonlinear Theory & Its Applications Ie...
(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...
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...
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 ...
A constant modulus algorithm for multiuser signal separation in presence of delay spread using antenna arrays The consider the problem of recovering p synchronous communication signals that are transmitted through a multiple-input/multiple-output (MIMO) linear chan... CB Papadias,AJ Paulraj - 《IEEE ...
The bias is implemented by a constant input 1, and an additional complex-valued variable b is allocated in the weight vector to make the bias trainable. In this task, identity activation function (Supplementary Note 14) is applied to the single neuron. Therefore, Eq. (2) is simplified to ...
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...