In Wireless Communication adaptive equalizer is play an important role for signal transmission. In this paper we present an advanced channel equalization system which based on QRD based adaptive (QR-RLS) filter algorithm and can use in Quadrature amplitude modulation (QAM) signals. The algorithm has properties that it can converge with high speed of convergence rate and gives minimum mean square error (MSE) compared to LMS, NLMS and RLS algorithms. An audio signal with noise is used to analyze the equalizer. The MATLAB results show that the proposed equalizer is how much effective with improved convergence rate and reduced MSE error especially with the QAM constellations.