Abstract: A discrete-time, digital filter for notch filtering a complex digital signal, the filter having a transfer function allowing selective filtering of complex signal components. A system for receiving a modulated signal, the system including a processor for adaptively generating filter coefficients of a discrete-time, digital filter, for filtering a complex discrete-time signal, the processor configured to (i.) identify a number of signal samples in a discrete-time signal, and use the signal samples to calculate autocorrelation values sufficient to calculate the filter coefficients, (ii.) solve a system of equations, the system of equations defined by a Toeplitz matrix and a vector to determine the coefficient values, the Toeplitz matrix defined using the autocorrelation values, and the vector defined as the autocorrelation values of a white noise signal.

Abstract: A discrete-time, digital filter for notch filtering a complex digital signal, the filter having a transfer function allowing selective filtering of complex signal components. A system for receiving a modulated signal, the system including a processor for adaptively generating filter coefficients of a discrete-time, digital filter, for filtering a complex discrete-time signal, the processor configured to (i.) identify a number of signal samples in a discrete-time signal, and use the signal samples to calculate autocorrelation values sufficient to calculate the filter coefficients, (ii.) solve a system of equations, the system of equations defined by a Toeplitz matrix and a vector to determine the coefficient values, the Toeplitz matrix defined using the autocorrelation values, and the vector defined as the autocorrelation values of a white noise signal.