Band pass filter
Design a band pass filter with the following properties:
1. The pass-through wave number should be k = 0.5.
2. The bandwidth of the pass-through range should be adjustable. The filter should be implemented both as a recursive and a non-recursive filter. (Hint: Take the filter [-1 0 2 0 1]/4 as a starting point for the nonrecursive implementation. How can you use this filter to obtain a smaller bandwidth?)