Basics of Communications and CodingIntended to show how to attain reliable digital communications and coding, this book covers subjects such as Fourier theory, digital signaling methods, probability theory, and noisy channels. Moreover, it goes beyond standard treatments to cover emerging topics that will soon become commonplace in this rapidly changing field. Throughout, the topics selected are those in which the mathematics is both conceptually straightforward and useful in other contexts. Carefully worked out exercises at the end of each chapter illustrate the material presented and subsidiary themes. Advanced students and academics in communications in the field of electrical engineering will appreciate the unusually rigorous and realistic approach to the subject. Students and academics in physics, computer science, and mathematics concerned with communications will also find the book of interest. |
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amplitude analogue signals AWGN AWGN channel bandwidth bandwidth equivalent binary bit-strings bits block called check-sum cipher ciphertext codeword coefficients communications complex correct corresponding decoding algorithm denote described in Section digital signalling encoder encryption energy equal equation erfc error probability error-correcting codes error-probability Euclidean algorithm exponentially factor field filter follows Fourier series Fourier transform frequency give given Gray code Hamming distance Hence impulse-response function information rate input integral inverse linear log2 mean method mod G modulation multiplying obtain orthogonal output parity-check periodic function phasor photons plaintext polynomial possible probability density random variable rectangular pulse Reed-Muller code Reed-Solomon codes reliability result S₁ sampling scalar sent Show specified string suppose symbols theorem theory tion transmission transmitted usually values white noise zero