Download A Student's Guide to Coding and Information Theory by Stefan M. Moser PDF

By Stefan M. Moser

This easy-to-read advisor presents a concise creation to the engineering historical past of contemporary communique structures, from cell phones to info compression and garage. heritage arithmetic and particular engineering options are saved to a minimal in order that just a simple wisdom of high-school arithmetic is required to appreciate the cloth coated. The authors commence with many useful purposes in coding, together with the repetition code, the Hamming code and the Huffman code. They then clarify the corresponding info idea, from entropy and mutual details to channel ability and the data transmission theorem. ultimately, they supply insights into the connections among coding idea and different fields. Many labored examples are given through the ebook, utilizing functional functions to demonstrate theoretical definitions. workouts also are integrated, allowing readers to double-check what they've got discovered and achieve glimpses into extra complex themes, making this ideal for an individual who wishes a short advent to the topic

Show description

Read or Download A Student's Guide to Coding and Information Theory PDF

Similar signal processing books

Distributed Computing: Principles, Algorithms, and Systems

Designing allotted computing platforms is a fancy strategy requiring a superior knowing of the layout difficulties and the theoretical and functional elements in their options. This entire textbook covers the basic rules and versions underlying the idea, algorithms and structures points of dispensed computing.

Tools for Signal Compression: Applications to Speech and Audio Coding

This ebook offers instruments and algorithms required to compress / uncompress signs comparable to speech and tune. those algorithms are principally utilized in cellphones, DVD avid gamers, HDTV units, and so forth. In a primary really theoretical half, this e-book provides the traditional instruments utilized in compression platforms: scalar and vector quantization, predictive quantization, rework quantization, entropy coding.

Audio Content Security. Attack Analysis on Audio Watermarking

Audio content material safeguard: assault research on Audio Watermarking describes study utilizing a standard audio watermarking process for 4 diversified genres of tune, additionally delivering the result of many try assaults to figure out the robustness of the watermarking within the face of these assaults. the result of this learn can be utilized for extra experiences and to set up the necessity to have a selected approach of audio watermarking for every specific crew of songs, every one with assorted features.

Principles of Digital Communication: A Top-Down Approach

This entire and available textual content teaches the basics of electronic conversation through a top-down-reversed process, in particular formulated for a one-semester direction. the original process makes a speciality of the transmission challenge and develops wisdom of receivers earlier than transmitters. In doing so it cuts immediately to the guts of the electronic conversation challenge, allowing scholars to benefit quick, intuitively, and with minimum historical past wisdom.

Additional resources for A Student's Guide to Coding and Information Theory

Sample text

1 GB, is needed to store the encoded data. This corresponds to almost half of the storage capacity of a DVD! Therefore, we see that while the three-times repetition code is able to provide some error protection, it is highly inefficient in terms of rate. In general, we would like the rate R = k/n to be as close to 1 as possible so that wastage of storage space is kept to a minimum. 1 Some historical background The problem of finding efficient error-correcting schemes, but of a much smaller scale, bothered Richard Wesley Hamming (1915–1998) while he was employed by Bell Telephone Laboratory (Bell Labs) in the late 1940s.

22) gives the probability of any even number of errors in the message. 31) 1 + (1 − 2p)n − (1 − p)n . e. all the odd-number errors, is then obtained by = Pr(Detectable errors) = 1 − 1 − (1 − 2p)n 1 + (1 − 2p)n = . 33) Obviously, we should have that Pr(Detectable errors) Pr(Undetectable errors) . 4 The ASCII code = 1 1 − [1 − 2np + · · · ] 2 2 np. 42) In the above approximations, we only retain the leading term that dominates the sum. 43) 2 and implies that the shorter the message, the better the detecting performance.

Beginning with the check digit of the message. Then, the weighted digits are summed together and reduced to the remainder after dividing by 37. Finally, a check symbol is selected such that the sum of the check symbol and the remainder obtained above is congruent to 0 modulo 37. 6, has been developed. e. 4w + 3x + 2y + 1z. 6. We can sum these sums again in the same way to obtain the desired weighted sum. 6 We assign a distinct number from {0, 1, 2, . . , 36} to each symbol in the combined alphabet/number set in the following way: “0” = 0, “1” = 1, “2” = 2, .

Download PDF sample

Rated 4.92 of 5 – based on 11 votes