Course: Multimedia Please solve this question completely...

22. (a) Suppose we use a predictor as follows: f^n=trunc(21(f~n1+f~n2)),en=fnf^n. Also, suppose we adopt the quantizer Eq. (6.21). If the input signal has values as follows: 2038567492110128146164182200218236254 then show that the output from a DPCM coder (without entropy coding) is as follows: 2044567489105121153161181195212243251 6.4 Exercises 195 Fig.6.20 a DPCM reconstructed signal (dotted line) tracks the input signal (solid line). b DPCM reconstructed signal (dashed line) steers farther and farther from the input signal (solid line) Figure 6.20 a shows how the quantized reconstructed signal tracks the input signal. As a programming project, write a small piece of code to verify your results. (b) Now, suppose by mistake on the coder side we inadvertently use the predictor for lossless coding, Eq. (6.15), using original values fn instead of quantized ones f~n. Show that on the decoder side we end up with reconstructed signal values as follows: 2044567489105121137153169185201217233 so that the error gets progressively worse. Figure 6.20b shows how this appears: the reconstructed signal gets progressively worse. Modify your code from above to verify this statement