A method and apparatus are provided for channel equalization with a digital finite impulse response (DFIR) filter using a pseudo random sequence. A readback signal of a pseudo random bit sequence is obtained. Samples are obtained from the readback signal of the pseudo random bit sequence. Tap gradients are calculated responsive to the obtained samples. The tap weights of the digital finite impulse response (FIR) filter are modified responsive to the calculated tap gradients. Dibit samples and error samples are obtained from the readback signal of the pseudo random bit sequence and applied to a tap gradients calculator. Tap gradients are calculated by a bitwise multiplier and accumulation tap gradient calculation circuit. An attenuation function attenuates the calculated tap gradients by a programmable attenuation value.