Decoding real numbered block and convolutional codes with erasure and impulsive noise channels

In this paper, a class of real numbered block and convolutional codes are encoded and decoded using various iterative methods to remove channel impulsive noise and erasures. In order to recover the received vector, two iterative algorithms are used for erasure and impulsive noise distortions. Similarities of real number convolutional codes to linear block codes are discussed. An iterative method with adaptive thresholding is described for the reconstruction of impulsive noise using sparse signal processing.