dx y 1 x notequalto y 0 x y x y R4 T v1v2v3 Find Codebook

d(x, y) = {1 x notequalto y 0 x = y x, y R^4 T = {v_1,v_2,v_3} Find Codebook of size 1. Is this unique in minimizing average distortion?|

Solution

A codebook is a type of document used for gathering and storing codes. Originally codebooks were often literally books, but today codebook is a byword for the complete record of a series of codes, regardless of physical format.

In cryptography, a codebook is a document used for implementing a code. A codebook contains a lookup table for coding and decoding; each word or phrase has one or more strings which replace it. To decipher messages written in code, corresponding copies of the codebook must be available at either end. The distribution and physical security of codebooks presents a special difficulty in the use of codes, compared to the secret information used in ciphers, the key, which is typically much shorter.

Yes, codebook storage of input sequence is reduced means distortion is also reduced.