Search results
Results from the WOW.Com Content Network
A natural concept for a decoding algorithm for concatenated codes is to first decode the inner code and then the outer code. For the algorithm to be practical it must be polynomial-time in the final block length. Consider that there is a polynomial-time unique decoding algorithm for the outer code.
A linear code of length n transmits blocks containing n symbols. For example, the [7,4,3] Hamming code is a linear binary code which represents 4-bit messages using 7-bit codewords. Two distinct codewords differ in at least three bits.
A linear encoder is a sensor, transducer or readhead paired with a scale that encodes position. The sensor reads the scale in order to convert the encoded position into an analog or digital signal , which can then be decoded into position by a digital readout (DRO) or motion controller.
MPEG-4 Part 3 (CELP as an MPEG-4 Audio Object Type) G.728 – Coding of speech at 16 kbit/s using low-delay code excited linear prediction; G.718 – uses CELP for the lower two layers for the band (50–6400 Hz) in a two-stage coding structure; G.729.1 – uses CELP coding for the lower band (50–4000 Hz) in a three-stage coding structure
Linear block codes are summarized by their symbol alphabets (e.g., binary or ternary) and parameters (n,m,d min) [5] where n is the length of the codeword, in symbols, m is the number of source symbols that will be used for encoding at once, d min is the minimum hamming distance for the code. There are many types of linear block codes, such as
Linear predictive coding (LPC) is a method used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital signal of speech in compressed form, using the information of a linear predictive model. [1] [2] LPC is the most widely used method in speech coding and speech synthesis.
The message to be systematically encoded is {1,6,3}. Using Lagrange interpolation, F(a i) = 3 x 2 + 2 x + 1, and applying F(a i) for a 4 = 3 to a 7 = 6, results in the code word {1,6,3,6,1,2,2}. Assume errors occur at c 2 and c 5 resulting in the received code word {1,5,3,6,3,2,2}. Start off with e = 2 and solve the linear equations:
The code construction is based on a multiple recursive concatenation of a short kernel code which transforms the physical channel into virtual outer channels. When the number of recursions becomes large, the virtual channels tend to either have high reliability or low reliability (in other words, they polarize or become sparse), and the data ...