Consider a photo image to be transmitted over a 56Kbps link. (Assume 1K = 1000).

Question

Consider a photo image to be transmitted over a 56Kbps link. (Assume 1K = 1000). JPEG can compress a typical photo image at a ratio of approximately 30:1. JPEG compression is typically done well before transmission, but for this question we’ll assume that we are trying to determine whether it is worth compressing the image immediately before transmission, as part of the overall transmission process. Using the formula presented

x/Bc + x/(rBn) < x/Bn

x/xBc + x/(xrBn) < x/(xBn)

1/Bc + 1/(rBn) < 1/Bn

1/Bc < 1/Bn - 1/(rBn)

Bn/Bc < 1 - 1/r

Bn < Bc - Bc/r

rBn < rBc - Bc

rBn < Bc(r - 1)

rBn/(r - 1) < Bc

( r/(r - 1) ) x Bn < Bc

Bc > ( r/(r - 1) ) x Bn

and a 30:1 compression ratio, determine the "break even" point for the “bandwidth” of the compression process Bc (in bps), at which compression becomes worthwhile.  

Explanation / Answer

rBn < rBc - Bc This is the break even point .Here everything is balanced.Further reduction of break even point can change the compression and can change the compression ratio.The break even point is chosen that everything is balance.Here in this after division in the earlier steps ,this is a balance equation without further compression or expansion,it stands in the middle.

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