On Recursive Representation of Optimum Projection Matrix

Suga, Norisato; Furukawa, T.

doi:10.1587/transfun.e99.a.412

Cited by 5 publications

(5 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Steady-state BER versus SNR 1,10 close to unity. Equation (18), shown in Ref. [5], with EVD of R −1 r is used for the optimal result of the MMSE detector, labeled as "Optimal MMSE."…”

Section: Simulationmentioning

confidence: 99%

“…The SINR k , ' s, labeled as 'New-MIL' and 'New-EVD', show the results from Table I and (35) with EVD of R −1 r (t), respectively. Equation (18), shown in Ref. [5], with EVD of R −1 r (t) is used for the result of the MMSE detector, labeled as 'MMSE'.…”

Section: Simulationmentioning

confidence: 99%

“…Conventionally implemented oblique projectors are constructed beforehand on the basis of a priori knowledge about both the structured desired signal and interference subspaces in a dynamic environment. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Conventionally implemented oblique projectors [18,19] are constructed beforehand on the basis of a priori knowledge about a Correspondence to: Ryudo Nagase. E-mail: h27154a8@edu.teu.ac.jp *School of Computer Science, Tokyo University of Technology, Tokyo 192-0982, Japan **Department of Management Science, Tokyo University of Science, Tokyo 125-8585, Japan both the structured desired signal and interference subspaces in a dynamic environment.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Blind adaptive detection using approximate oblique projector for synchronous DS/CDMA communication

Nagase

Oishi

Furukawa

2019

IEEJ Transactions Elec Engng

Self Cite

View full text Add to dashboard Cite

This article presents a blind adaptive detector based on an approximate oblique projector (AOP) for interference cancellation in direct‐sequence code‐division multiple‐access (DS/CDMA) system. An expression for obtaining the AOP from the inverse of the correlation matrix of received signals without a prior knowledge about the structured interference subspace is derived. Applying the matrix inversion lemma to compute the inverse of the correlation matrix is useful for updating the AOP. Simulation results demonstrate that the proposed blind adaptive detector is suitable for a dynamic environment. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

show abstract

“…Steady-state BER versus SNR 1,10 close to unity. Equation (18), shown in Ref. [5], with EVD of R −1 r is used for the optimal result of the MMSE detector, labeled as "Optimal MMSE."…”

Section: Simulationmentioning

confidence: 99%

Section: Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Blind adaptive detection using approximate oblique projector for synchronous DS/CDMA communication

Nagase

Oishi

Furukawa

2019

IEEJ Transactions Elec Engng

Self Cite

View full text Add to dashboard Cite

show abstract

“…Currently, this complex mathematical operator bene its the modelling of biological, chemical, control, electrical, and even inancial systems . However, the practical implementation of the fractional-order calculus is extremely dif icult due to the lack of real components that can realize this mathematical operation [5,[24][25][26][27][28]. In the case of the integer differentiation and integration, passive electrical components such as capacitors and coils can carry out these operations on the analogue signal [29].…”

Section: Introductionmentioning

confidence: 99%

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

Sakow

2024

JAMRIS

View full text Add to dashboard Cite

The design method and the time-variant FIR architecture for real-time estimation of fractional and integer differentials and integrals are presented in this paper. The proposed FIR architecture is divided into two parts. Small-phase filtering, integer differentiation, and fractional differential and integration on the local data are performed by the first part, which is time-invariant. The second part, which is time-variant, handles fractional and global differentiation and integration. The separation of the two parts is necessary because real-time matrix inversion or an extensive analytical solution, which can be computationally intensive for high-order FIR architectures, would be required by a single time-variant FIR architecture. However, matrix inversion is used in the design method to achieve negligible delay in the filtered, differentiated, and integrated signals. The optimum output obtained by the method of least squares results in the negligible delay. The experimental results show that fractional and integer differentiation and integration can be performed by the proposed solution, although the fractional differentiation and integration process is sensitive to the noise and limited resolution of the measurements. In systems that require closed-loop control, disturbance observation, and real-time identification of model parameters, this solution can be implemented.

show abstract

Synchronous DS/CDMA of recursive oblique projectors using the Gram-Schmidt process

Nagase

Oishi

Furukawa

2017

2017 IEEE 6th Global Conference on Consumer Electronics (GCCE)

View full text Add to dashboard Cite

On Recursive Representation of Optimum Projection Matrix

Cited by 5 publications

References 6 publications

Blind adaptive detection using approximate oblique projector for synchronous DS/CDMA communication

Blind adaptive detection using approximate oblique projector for synchronous DS/CDMA communication

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

Synchronous DS/CDMA of recursive oblique projectors using the Gram-Schmidt process

Contact Info

Product

Resources

About