A symbol synchronizer uses a fourth-power device instead of a squarer. Modify the MATLAB program of Computer Example 5.3 accordingly and show that a useful spectral component is generated at the output of the fourth-power device. Rewrite the program to be able to select between square-law, fourth-power law, and delay and-multiply with delay of one-half bit period. Compare the relative strengths of the spectral line at the bit rate to the line at DC. Which is the best bit sync on this basis?