An adaptive filter circuit includes a plurality of filter cores associated with each other and configured to perform a calculation operation on a first target input signal, and an auxiliary core configured to generate cross-terms between block correlation matrices respectively corresponding to kernels that correspond to the first target input signal and provide the cross-terms to the plurality of filter cores, where the plurality of filter cores are further configured to estimate effective channels respectively corresponding to the kernels based on the cross-terms.

A method and device for filtering-based channel estimation. A method comprises configuring a filter design with a stopband region between at least two bandpass regions in a time domain associated with channel behavior, suppressing, via the filter design, multi-user interference (MUI) or orthogonal cover code (OCC) interference in the time domain, and providing frequency domain-based channel estimation (CE) based on the filter design.