Question

Question 13 8 pts Consider a filter described by hlk]-(3,2,1) for k-0,1.2 respectively. The input signal is x[k] (5,7,2) for k-0,1,2 respectively. What is the filter output signal ylk]? ylk)-(8,18,35,25,31,15) for k-0,1,2,3,4,5,6 respectively O y[k)-(8,18,35,25) for k-0,1,2,3,4 respectively ylk]-(15,31,25,35,18,8) for k 0,1,2,3,4,5,6 respectively yk] (15,31,25,11,2) for k 0,1,2,3,4 respectively

Answer 1

NI +시2-1 Samples ,ushere. N, (s numher contain 3 e's ', Therefore yck) Contains 3t3-,=5 non-aero ts * Limitsチ3(K): higher limit ofxek) er init of hck хек) calied slcing meed re u fast and 5x3=15 512=io Qusttons. y(z) = 6+/t+5=25 ,강(3): 4+4-11 dcn)15, 3, 25, I1,2 andy.cfla ィ.re. C Note-N

The method of evaluation of slicing for convolution:

1.write down x(k) and h(k) in matrix form as written above.

2.multiply row and column elements to get matrix entries.

3.draw the diagonal cross lines as shown above and add all entries in one line to get y(n) values.

Thank you.