A noise estimation filter for an orthogonal frequency-division multiplexed (OFDM) system can include a filter bank module, a coefficient squaring module, and a summing module. The filter bank module can multiply a unitary vector by an OFDM signal vector to generate scalar products of the OFDM signal vector. The coefficient squaring module can square the scalar products and weight the scalar products to generate a plurality of weighted single estimates. The coefficient squaring module can include a squaring module for squaring the scalar product to generate a plurality of single estimates and a coefficient multiplication module for weighting each of the single estimates with a noise coefficient forming a plurality of weighted single estimates. The summing module can sum the weighted single estimates to generate a noise and interference power estimate.