Introduction To Convolutional Codes With Applications The Springer

Convolutional codes are a type of error-correcting codes widely used in various communication systems. They are particularly suitable for applications where the data needs to be transmitted over a noisy channel and errors in the received data need to be detected and corrected. In this article, we will provide an to convolutional codes, discuss their properties and applications, and explore how they can be used to improve the reliability and efficiency of communication systems.

What are Convolutional Codes?

Convolutional codes are a class of error-correcting codes that use a fixed encoder to encode the information bits into a sequence of output bits. These codes have a specific structure where the current output bits depend not only on the current input bit but also on a finite number of previous input bits. This dependency allows convolutional codes to introduce redundancy into the transmitted data, which aids in error detection and correction.

The encoding process in convolutional codes can be visualized as a convolution operation, where the encoder treats the input bit sequence as a stream of data and produces a corresponding output bit sequence. The convolutional encoder typically consists of shift registers and combinational logic that implement a set of shift registers to generate the output bits based on the current and previous input bits. These output bits can then be transmitted through the communication channel.

Introduction to Convolutional Codes with Applications (The Springer International Series in Engineering and Computer Science Book 275)

by Ajay Dholakia(1994th Edition, Kindle Edition)

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Language	:	English
File size	:	2707 KB
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Properties of Convolutional Codes

Convolutional codes possess several key properties that make them suitable for error detection and correction. One such property is the ability to introduce controlled redundancy into the transmitted data. By introducing redundancy, convolutional codes allow the receiver to detect and correct errors by comparing the received bits with the expected bits based on the redundancy introduced during encoding.

Another important property of convolutional codes is their ability to handle burst errors. Burst errors are consecutive errors that occur in a short time interval in the received data. Convolutional codes can effectively detect and correct burst errors by utilizing the dependency between consecutive output bits.

Convolutional codes also have a higher encoding and decoding complexity compared to other error-correcting codes like block codes. However, advancements in computational power and efficient decoding algorithms have made convolutional codes practical for a wide range of applications.

Applications of Convolutional Codes

Convolutional codes find applications in various communication systems, such as wireless communication, satellite communication, digital television, and internet protocols. These codes play a crucial role in ensuring reliable and efficient data transmission over noisy channels by providing error detection and correction capabilities.

One common application of convolutional codes is in wireless communication systems, where the transmitted signals are prone to fading and interference. Convolutional codes can help mitigate the effects of channel impairments and improve the overall reliability of the wireless communication system.

In satellite communication, convolutional codes are used to ensure accurate data transmission over long distances. The transmitted signals are susceptible to noise and atmospheric disturbances, but convolutional codes enable the receiver to detect and correct errors, ensuring reliable communication between the satellite and the ground station.

Digital television broadcasts also rely on convolutional codes to deliver high-quality video and audio signals to viewers. These codes help eliminate transmission errors and deliver a seamless viewing experience to the audience.

Convolutional codes are also employed in internet protocols, such as TCP/IP, to ensure error-free data transmission over the internet. By detecting and correcting errors, convolutional codes contribute to the overall stability and reliability of internet communication.

Convolutional codes are a powerful tool in the field of error-correcting codes. They offer a reliable solution for detecting and correcting errors in a wide range of communication systems. With their ability to handle burst errors and introduce controlled redundancy, convolutional codes have become an essential component of modern communication technologies.

As technology continues to advance, convolutional codes are likely to evolve further and find applications in emerging fields such as 5G communication and Internet of Things (IoT). The versatility and effectiveness of convolutional codes make them a valuable tool for improving the reliability and efficiency of communication systems in the digital age.

Introduction to Convolutional Codes with Applications (The Springer International Series in Engineering and Computer Science Book 275)

by Ajay Dholakia(1994th Edition, Kindle Edition)

5 out of 5

Language	:	English
File size	:	2707 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Print length	:	264 pages

FREE

to Convolutional Codes with Applications is an to the basic concepts of convolutional codes, their structure and classification, various error correction and decoding techniques for convolutionally encoded data, and some of the most common applications. The definition and representations, distance properties, and important classes of convolutional codes are also discussed in detail.
The book provides the first comprehensive description of table-driven correction and decoding of convolutionally encoded data. Complete examples of Viterbi, sequential, and majority-logic decoding technique are also included, allowing a quick comparison among the different decoding approaches.
to Convolutional Codes with Applications summarizes the research of the last two decades on applications of convolutional codes in hybrid ARQ protocols. A new classification allows a natural way of studying the underlying concepts of hybrid schemes and accommodates all of the new research. A novel application of fast decodable invertible convolutional codes for lost packet recovery in high speed networks is described. This opens the door for using convolutional coding for error recovery in high speed networks.
Practicing communications, electronics, and networking engineers who want to get a better grasp of the underlying concepts of convolutional coding and its applications will greatly benefit by the simple and concise style of explanation. An up-to-date bibliography of over 300 papers is included. Also suitable for use as a textbook or a reference text in an advanced course on coding theory with emphasis on convolutional codes.