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6.) A channel can be visualized as one that transports chara...

6.) A channel can be visualized as one that transports characters (comprising of only lower case letters of English alphabet) from the transmitter to the receiver. It makes an error by changing one character to another. Let X and Y be the random variables that represent the input and output of this ...

Final Project Part 1: Fundamental Limits (a) Error-free Sha...

Final Project Part 1: Fundamental Limits (a) Error-free Shannon Limit For this BSC, the capacity is defined as: For a rate (capacity) of 1/3, . (b) Shannon Limit Allowing Errors The probability of bit error (p) at rate R = 1/3 is acheiveable in a channel with error probabiltiy c when: import ma...

Assume suitable data wherever necessary 1 a) Huffman t...

Assume suitable data wherever necessary 1 a) Huffman trees enable construction of uniquely decodable prefix codes with optimal codeword lengths. The five codewords shown here for the alphabet [A,B,C,D,E] form an instantaneous prefix code. i) Give a probability distribution for the five letter...

Assume suitable data wherever necessary The relative entr...

Assume suitable data wherever necessary The relative entropy is : measure of the distance two distributions statistics The that when For example we knew distribution average Definition two probability mass xex Relative entropy always nonnegative is zero and only if p = q. However, it...

Project Your final project is to create and analyze a plot ...

Project Your final project is to create and analyze a plot showing the bit error performance afforded by various channel coding schemes for the binary symmetric channel = c X*Y x = Y as a function of c € [0, .11. All of the coding schemes are targeting of a rabe of R = 1/2 information bits p...

Capstone Presentation In this 10 minute presentation, tell ...

Capstone Presentation In this 10 minute presentation, tell us about your research—do not read your Capstone—and communicate it clearly to engage the audience. Give us specifics about your capstone, but remember to situate the paper in the broader context of your field of study. It is i...

Assume suitable data wherever necessary Acode set of vector...

Assume suitable data wherever necessary Acode set of vectors called codewords The fixed length code for the English alphabet suggest that each fthe letters the alphabet equally important (probable) and hence each one requires equal number bits for representation However, we know that some of th...

Annotated Reference List/Bibliography So far, you have comp...

Annotated Reference List/Bibliography So far, you have completed the initial literature research and gathered some evidence. This assignment helps you review the sources you intend to use. The Annotated Reference List serves two purposes: 1. It ensures that you build your reference list in the co...

1.) Let X and Y be random variables that take on values x1, ...

1.) Let X and Y be random variables that take on values x1, x2, …, xr and y1, y2, …, ys respectively. Let Z = X + Y. (i) Show that H(Z|X) = H(Y|X) (ii) If X and Y are independent, then show how H(Y) < = H(Z) and H(X) < = H(Z) (iii)Under what condition will H(Z) = H(X)...

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