Affine-Projection <i>q</i>-Rényi Algorithm for Channel Estimation Under Different Vehicle Velocities and Impulsive Interference
Xinqi Huang, Yingsong Li, Xiao Han, Wanlu Shi, Huawei Tu
Abstract
An adaptive estimation algorithm based on <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula> -Rényi kernel function and affine project scheme is proposed, analyzed and simulated for channel estimation in the impulsive noise environment, which is named as affine-projection <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula> -Rényi (APQR) algorithm. APQR algorithm is implemented via minimizing the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula> -Rényi kernel function with past errors to achieve robustness for impulsive noise and improve convergence speed when the input signal is colored. The step-size boundary and steady-state analysis are presented. Simulation results verify the correctness of theoretical analysis and the superiority of the proposed algorithm under the conditions of colored input and impulsive noise.