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A novel equalization schemes based on parametric channel estimation is presented. The proposed scheme is appropriate for channels with long and sparse impulse response such as encountered in high definition digital video transmission systems. The main trait of the channel estimation part is that instead of seeking the whole channel impulse response (CIR), only the unknown time delays and attenuation factors of the physical channel multipath components are efficiently estimated. The equalization part comprises an adaptive decision feedback equalizer (DFE), whose initialization part is properly designed for sparse channels. The information needed in the initialization part is provided by the channel estimation part. The DFE converges much faster compared to the conventional DFE and the whole scheme utilizes a very short training sequence and hence a significant saving in bandwidth is achieved.