A non-parametric matched filter receiver that includes a digital (e.g., FIR) filter and a channel estimator. The channel estimator (1) determines the timing to center the digital filter, (2) obtains the characteristics of the noise in received samples, (3) estimates the system response for the samples using a best linear unbiased (BLU) estimator, a correlating estimator, or some other type of estimator, and (4) derives a set of coefficients for the digital filter based on the estimated system response and the determined noise characteristics. The correlating estimator correlates the samples with their known values to obtain the estimated system response. The BLU estimator pre-processes the samples to whiten the noise, correlates the whitened samples with their known values, and applies a correction factor to obtain the estimated system response. The digital filter then filters the samples with the set of coefficients to provide demodulated symbols.