Local stability analysis and systolic implementation of a subspace tracking algorithm
نویسندگان
چکیده
We discuss the DPASTd algorithm for signal subspace tracking. Our analysis shows that, under a sufficient condition on the step size, the DPASTd algorithm is locally stable even though delayed updating is applied. A pipelined realization of the algorithm and the corresponding systolic architecture are also proposed and a method for reciprocal computation is discussed. We also present simulation results to validate the algorithm.
منابع مشابه
Factored spherical subspace tracking
Tracking the dominant subspace of a measured data matrix is an essential part of many signal processing algorithms. We present a modiication to the so-called spherical subspace tracking algorithm. This algorithm has a low computational complexity, but suuers from accumulation of numerical errors. We show that this numerical instability can be circumvented by using a minimal orthogonal parameter...
متن کاملPrincipal and Minor Subspace Tracking: Algorithms & Stability Analysis
We consider the problem of tracking the minor or principal subspace of a positive Hermitian covariance matrix. We first propose a fast and numerically robust implementation of Oja algorithm (FOOja: Fast Orthogonal Oja). The latter is said fast in the sense that its computational cost is of order O(np) flops per iteration where n is the size of the observation vector and p < n is the number of m...
متن کاملComputation of Trigonometric Functions by the Systolic Implementation of the CORDIC Algorithm
Trigonometric functions are among the most useful functions in the digital signal processing applications. The design introduced in this paper computes the trigonometric functions by means of the systolic arrays. The method for computing these functions for an arbitrary angle, , is the CORDIC algorithm. A simple standard cell is used for the systolic array. Due to the fixed inputs, in some...
متن کاملA New Implementation of Maximum Power Point Tracking Based on Fuzzy Logic Algorithm for Solar Photovoltaic System
In this paper, we present a modeling and implementation of new control schemes for an isolated photovoltaic (PV) using a fuzzy logic controller (FLC). The PV system is connected to a load through a DC-DC boost converter. The FLC controller provides the appropriate duty cycle (D) to the DC-DC converter for the PV system to generate maximum power. Using FLC controller block in MATLABTM/Simulink e...
متن کاملA Novel Algorithm for Rotor Speed Estimation of DFIGs Using Machine Active Power based MRAS Observer
This paper presents a new algorithm based on Model Reference Adaptive System (MRAS) and its stability analysis for sensorless control of Doubly-Fed Induction Generators (DFIGs). The reference and adjustable models of the suggested observer are based on the active power of the machine. A hysteresis block is used in the structure of the adaptation mechanism, and the stability analysis is performe...
متن کامل