Cyclic Codes and Related Codes
Just as the FIR filter, which is closely related to convolutions, Fourier transforms, and Toeplitz matrices, is a central topic of digital signal processing, so the cyclic code is a central topic of error-control codes. A cyclic code is simply an error-control code that satisfies a certain convolution property in the time domain or a certain spectral property in the frequency domain. We will develop the theory of cyclic codes and related codes by working as much as possible within the framework of digital signal processing.
KeywordsCyclic Code Data Symbol Generator Polynomial Impulsive Noise Complex Field
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