To gain experience with convolution. Also to find a specific solution to a recurrence relation and to perform an average-case analysis.
Show all work. i.e., justify your answers.
Convolution:
Convolve these two sequences (signals) A and B to produce a new third sequence (signal) C:
Recurrence Relations:
Suppose an algorithm has running time described by the following recurrence relation: $T(n) = 4 T(n/3) + n^3$. Use the theory of recurrence relations to solve this recurrence relation.