A method of processing signals comprising: calculating a covariance matrix and a correlation vector based on an input signal vector and an output signal vector; identifying a subset of elements of a parameter vector based on a predefined criteria, wherein the parameter vector represents a relationship between the input signal vector and the output signal vector; calculating a solution to a linear system to generate a reduced parameter update vector having a plurality of elements, wherein the linear system is based on the subset of elements of the parameter vector, the covariance matrix, and the correlation vector; updating the subset of elements of the parameter vector using the reduced parameter update vector to generate an updated parameter vector, wherein the reduced parameter update vector has less elements than the parameter vector; processing one or more signals associated with the input signal vector using the updated parameter vector in order to generate an estimated leakage signal; and further comprising: transmitting one or more transmit signals with a transmit chain of a transceiver; and receiving one or more receive signals with a receive chain of the transceiver, wherein the input signal vector is based on the one or more transmit signals and the output signal vector is based on the one or more receive signals, wherein the estimated leakage approximates signal leakage from the transmit chain to the receive chain of the transceiver, characterized by: generating a kernelized input signal vector by applying a predefined mapping function to one or more elements of the input signal vector, wherein the parameter vector describes a substantially linear relationship between the kernelized input signal vector and a target signal component of the output signal vector, wherein the kernelized input signal vector is the input signal vector subject to a kernelization function. calculating a covariance matrix and a correlation vector based on an input signal vector and an output signal vector; identifying a subset of elements of a parameter vector based on a predefined criteria, wherein the parameter vector represents a relationship between the input signal vector and the output signal vector; calculating a solution to a linear system to generate a reduced parameter update vector having a plurality of elements, wherein the linear system is based on the subset of elements of the parameter vector, the covariance matrix, and the correlation vector; updating the subset of elements of the parameter vector using the reduced parameter update vector to generate an updated parameter vector, wherein the reduced parameter update vector has less elements than the parameter vector; processing one or more signals associated with the input signal vector using the updated parameter vector in order to generate an estimated leakage signal; and further comprising: transmitting one or more transmit signals with a transmit chain of a transceiver; and receiving one or more receive signals with a receive chain of the transceiver, wherein the input signal vector is based on the one or more transmit signals and the output signal vector is based on the one or more receive signals, wherein the estimated leakage approximates signal leakage from the transmit chain to the receive chain of the transceiver, characterized by: generating a kernelized input signal vector by applying a predefined mapping function to one or more elements of the input signal vector, wherein the parameter vector describes a substantially linear relationship between the kernelized input signal vector and a target signal component of the output signal vector, wherein the kernelized input signal vector is the input signal vector subject to a kernelization function. transmitting one or more transmit signals with a transmit chain of a transceiver; and receiving one or more receive signals with a receive chain of the transceiver, wherein the input signal vector is based on the one or more transmit signals and the output signal vector is based on the one or more receive signals, wherein the estimated leakage approximates signal leakage from the transmit chain to the receive chain of the transceiver, generating a kernelized input signal vector by applying a predefined mapping function to one or more elements of the input signal vector, wherein the parameter vector describes a substantially linear relationship between the kernelized input signal vector and a target signal component of the output signal vector, wherein the kernelized input signal vector is the input signal vector subject to a kernelization function.