Question

10 pts Question 12 Consider an adaptive fiter with the current iteration input signal sample equal to -0.75, filter weight vector equal to w-[0.32,0.31,0.23], the error equal to 0.023, and the learning factor equal to 0.08. What are the filter weights at the next iteration assuming that the filter uses the L algorithm? MS O w-[0.28,0.27, 0.21] O w 10.32,0.31, 0.23] w 10.33,0.32, 0.24] w[0.31,0.30, 0.22

Answer 1

For adaptive LMS filter,

new weight factor = old weight factor + learning rate x input x error

w_1new = 0.32 +0.08x(-0.75)x 0.023 = 0.3186 $\approx$ 0.32

w_2new = 0.31 +0.08x(-0.75)x 0.023 = 0.3086 $\approx$ 0.31

w_3new = 0.23 +0.08x(-0.75)x 0.023 = 0.2286 $\approx$ 0.23

Weights at next iteration:

w = [0.32 0.21 0.23]