solution with MATLAB code, please.

4. (30 points) Consider the receiver of the DPCM system with the received sequence c(n) = [011 101 111 010 001] when n = 0 to 4. A 3-bit mid-riser quantizer and decoder shown in Fig. 1 where the step size A= 1 and a second order predictor with coefficients ay = -0.2 and Q2 = 0.4 are used. a) By hand calculation, find a(n), *(n) and i(n) for n = 0 to 4 and complete the table provided below. 0 011 1 101 2 111 3 010 4 001 | n c(n) &(n) (n) (n b) Write and submit a complete MATLAB program that implements the given DPCM receiver. The MATLAB program must include proper documentation. Reconstruct the signal at the receiver's output using the MATLAB program and provide the results in the above table. You must verify whether or not the program is working by comparing the answers generated by your MATLAB program with the results obtained from hand calculation. Now consider the received sequence c(n = [1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0]. Using the MATLAB program obtained in step b), find d(n), *(n) and i(n)