Abstract: A Givens rotation computation technique is provided that makes use of polynomial approximations of an expression that contains a square root function. The polynomial approximation uses polynomial coefficients that are specifically adapted to respective ones of a number of subintervals within the range of possible values of the input variable of the expression. The technique may be used in data communications devices such as those in wireless local area networks. An example is the application of the Givens rotations technique in a decision feedback equalizer.

Abstract: A synchronization data detecting unit is provided in a communication system for detecting predetermined synchronization data. The synchronization data are sent in a transmission frame in a communication signal of the communication system. The synchronization data include a sequence of identical binary symbols which are transmitted after scrambling. The synchronization detection unit comprises a descrambler for descrambling the received communication and for producing an output data sequence having multi-level signal values. The multi-level signal values of the descrambler output are smoothed in a filter unit. The smoothed signal is compared with a predetermined threshold value. If the smoothed signal exceeds the predefined threshold value, a detection of said synchronized data is indicated.

Abstract: A Givens rotation computation technique is provided that makes use of polynomial approximations of an expression that contains a square root function. The polynomial approximation uses polynomial coefficients that are specifically adapted to respective ones of a number of subintervals within the range of possible values of the input variable of the expression. The technique may be used in data communications devices such as those in wireless local area networks. An example is the application of the Givens rotations technique in a decision feedback equalizer.