Problem

One variation of run-length coding involves (1) coding only the runs of 0’s or 1’s (not bo...

One variation of run-length coding involves (1) coding only the runs of 0’s or 1’s (not both) and (2) assigning a special code to the start of each line to reduce the effect of transmission errors. One possible code pair is (xk, rk), where xk and rkrepresent the kth run’s starting coordinate and run length, respectively. The code (0,0) is used to signal each new line.

(a) Derive a general expression for the maximum average runs per scan line required to guarantee data compression when run-length coding a 2n × 2n binary image.


(b) Compute the maximum allowable value for n = 10.

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Solutions For Problems in Chapter 8