In this paper, a new class of adaptive step-size control algorithm for a second-order adaptive IIR notch filter based on lattice form structure for detection of sinusoids in noise environment is introduced. The proposed algorithm is adjusting by the new gradient signal, the new autocorrelation of output signal and the new autocorrelation of the error signal to control the step-size of the algorithm. By the proposed method, the optimization of the coefficients of the filter is obtained. The simulation results confirm that the performance of the proposed algorithm provides fast convergence speed, low variance, low bias and low mean square error of filter coefficients.

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In this paper an adaptive equalizer using Laguerre by providing a faster rate of convergence and insensitive transversal filter and a RLS algorithm for adaptation in DS-CDMA mobile communication system is proposed. The stability porm e vation inp t eienale prado of the Laguerre structure is compromise between the FIR and correlation matrix of the input signal [6-7]. IIR structures, since the Laguerre structure is always stable. WeIn this paper an adaptive equalizer using Laguerre also analyze the Bit Error Rate (BER) performance of the proposed equalizer and the conventional equalizer. The l l simulation results confirm that the performance of the proposed in DS-CDMA mobile communication systems is presented. system in terms of bit error rate has been improved over theThe simulation results show that the performances of the conventional equalizer, such as fast convergence and lower BER than the conventional adaptive equalizer for every Eb / No value, proposed equalizer are better than the conventional equalizer, such as fast convergence and lower BER performance of the