A digital television (DTV) receiving system includes a known data detector, and a channel impulse response (CIR) estimator, a CIR calculator, a coefficient calculator, and a multiplier. The known data detector detects positions of known data and field sync data included in a data group. The CIR estimator estimates CIRs of the data included in the data group using the detected positions of the field sync data and the known data. The CIR calculator performs interpolation or extrapolation based on a characteristic of each data region included in the data group. The coefficient calculator calculates equalization coefficients using the estimated CIRs, and the multiplier multiplies the data in the data group with the coefficients.