By Stefan M. Moser

ISBN-10: 1107015839

ISBN-13: 9781107015838

ISBN-10: 1107601967

ISBN-13: 9781107601963

This easy-to-read consultant presents a concise creation to the engineering heritage of recent verbal exchange platforms, from cell phones to information compression and garage. heritage arithmetic and particular engineering innovations are saved to a minimal in order that just a uncomplicated wisdom of high-school arithmetic is required to appreciate the fabric coated. The authors start with many useful purposes in coding, together with the repetition code, the Hamming code and the Huffman code. They then clarify the corresponding info concept, from entropy and mutual details to channel capability and the knowledge transmission theorem. eventually, they supply insights into the connections among coding conception and different fields. Many labored examples are given during the publication, utilizing useful functions to demonstrate theoretical definitions. workouts also are incorporated, permitting readers to double-check what they've got realized and achieve glimpses into extra complicated themes, making this excellent for a person who wishes a brief creation to the topic

Show description

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

Similar signal processing books

Download PDF by Ron Schmitt Former Director of Electrical Engineering Sensor: Electromagnetics explained

In keeping with conventional circuit concept and easy physics, this e-book serves as a useful reference for either analog and electronic engineers alike. in the event you paintings with analog RF, this booklet is a must have source. With pcs and networking apparatus of the twenty first century operating at such excessive frequencies, it really is now an important for electronic designers to appreciate electromagnetic fields, radiation and transmission strains.

Download e-book for kindle: A First Course in Digital Communications by Ha H. Nguyen, Ed Shwedyk

Conversation expertise has develop into pervasive within the glossy international, and ever extra advanced. targeting the main simple principles, this conscientiously paced, logically based textbook is choked with insights and illustrative examples, making this a terrific creation to trendy electronic conversation. Examples with step by step suggestions aid with the assimilation of theoretical principles, and MATLAB workouts enhance self assurance in employing mathematical techniques to real-world difficulties.

Download PDF by Dr Zheng Lu: Unlocking the power of OPNET modeler

For quick, effortless modeling, this sensible consultant presents all of the crucial info you want to understand. quite a lot of themes is roofed, together with customized protocols, programming in C++, exterior version entry (EMA) modeling and co-simulation with exterior structures, supplying you with the tips no longer supplied within the OPNET documentation.

New PDF release: Systems Engineering For Dummies

Platforms Engineering For Dummies, IBM restricted variation, explains what structures engineering is and the way it might probably assist you harness the complexity inherent in constructing clever, hooked up items.

Extra resources for A Student’s Guide to Coding and Information Theory

Example text

Why do we need this assumption? Would the situation be different without this assumption? Take the case of Pr[s = 0] = 0 and Pr[s = 1] = 1 as an example. 9) = Pr(Writing in (0 0 0)) · Pr(0 → 0) · Pr(0 → 0) · Pr(0 → 1) 1 = · (1 − p) · (1 − p) · p 2 (1 − p)2 p = . 2 Similarly, we have Pr(Writing in (1 1 1) and reading out (0 0 1)) = (1 − p)p2 . 13) These together show that Pr(Reading out (0 0 1)) = Pr(Writing in (0 0 0) and reading out (0 0 1)) + Pr(Writing in (1 1 1) and reading out (0 0 1)) (1 − p)p .

38) The last logic deduction relies on the following two facts: (1) we assume there is only one bit in error, and (2) all columns of H are distinct. With the above arguments, we get the following result. 14 lowing: The (7, 4) Hamming code can be classified as one of the fol- (1) a single-error-correcting code, (2) a double-error-detecting code. Proof The proof of the Hamming code being able to correct all one-bit errors follows from the same logic deduction given above. To establish the second claim, simply note that when two errors occur, there are two 1s in the error pattern e, for example e = (1 0 1 0 0 0 0).

Hence, Pr( n=1 A ) is the event that all events A occur at the same time. The notation ∏ is a shorta1 · a2 · · · an . hand for multiplication: ∏n=1 a 16 Error-detecting codes The probability of a single error in the message is given by np(1 − p)n−1 . 14) errors is given by the ( + 1)th term in the binomial exn 1 = (1 − p) + p n n 2 n p(1 − p)n−1 + p (1 − p)n−2 = (1 − p)n + 1 2 0 n n p +···+ n n(n − 1) 2 p (1 − p)n−2 + · · · + pn . 17) n(n − 1) 2 p (1 − p)n−2 . 18) 2 We can obtain the probability of an even number of errors (0, 2, 4, .

Download PDF sample

A Student’s Guide to Coding and Information Theory by Stefan M. Moser

by Joseph

Rated 4.34 of 5 – based on 44 votes