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The integers , represent the starting positions of the bursts, and are less than the block length of the code. For contradiction sake, assume that x i a ( x ) {\displaystyle x^{i}a(x)} and x j b ( x ) {\displaystyle x^{j}b(x)} are in the same coset.
Error-correcting codes are usually distinguished between convolutional codes and block codes: Convolutional codes are processed on a bit-by-bit basis. They are particularly suitable for implementation in hardware, and the Viterbi decoder allows optimal decoding. Block codes are processed on a block-by-block basis.
Blend time, sometimes termed mixing time, is the time to achieve a predefined level of homogeneity of a tracer in a mixing vessel. Blend time is an important parameter to evaluate the mixing efficiency of mixing devices. [1] In order to make this definition valid, the tracer should be in the same physical phase (e.g. liquid) as the bulk material.
A convolutional code that is terminated is also a 'block code' in that it encodes a block of input data, but the block size of a convolutional code is generally arbitrary, while block codes have a fixed size dictated by their algebraic characteristics. Types of termination for convolutional codes include "tail-biting" and "bit-flushing".
Any nonlinear electronic block driven by two signals with frequencies f 1 and f 2 would generate intermodulation (mixing) products. A multiplier (which is a nonlinear device) will generate ideally only the sum and difference frequencies, whereas an arbitrary nonlinear block will also generate signals at 2·f 1-3·f 2, etc. Therefore, normal ...
More commonly, the reactor hydraulics do not behave ideally or the system conditions do not obey the initial assumptions. Perfect mixing is a theoretical concept that is not achievable in practice. [6] For engineering purposes, however, if the residence time is 5–10 times the mixing time, the perfect mixing assumption generally holds true.
Mixing is performed to allow heat and/or mass transfer to occur between one or more streams, components or phases. Modern industrial processing almost always involves some form of mixing. [1] Some classes of chemical reactors are also mixers. With the right equipment, it is possible to mix a solid, liquid or gas into another solid, liquid or gas.
These codes achieve rate-1/2 and rate-3/4 respectively. These two matrices give examples of why codes for more than two antennas must sacrifice rate — it is the only way to achieve orthogonality. One particular problem with C 3 , 3 / 4 {\displaystyle C_{3,3/4}} is that it has uneven power among the symbols it transmits.