[3 marks] Problem (5) Consider a biomedical instrumentation system, consists of two Analog-to-Digital conversion (ADC) channels. The first electrode with ADC is used to capture the desired EMG sin). However, due to noisy environment, the signal is contaminated and the ADC channel produces a signal with the noise; that is, d(n) = S(n) + n(n). The second electrode is where only noise is picked up and the second ADC captures noise x(n), which is fed to the adaptive filter. n(n) & x(n) are uncorrelated to the desired signal s(n) while x(n) is correlated to the n(n). (a) Draw a block diagram to represent how noise n(n) could be removed to recover the EMG signal s(n)? (b) Write the equations of: output of two-taps adaptive filter y(n), error signal e(n) and updated filter coefficient w(n+1) based on LMS and RLS algorithms using LMS and RLS algorithms with a initial guess as w0 = [0.1 0.3] to perform adaptive filtering by iterating 5-times. Compare the results if a single tap is used with w0=0.3. To perform the filtering, the data is given in the following table: n dan) x(n) 0 1 -0.2947 | 1.0017 -0.5893 0.5893 2 2.5827 3.1654 3 4 -1.6019 0.5622 -4.6179 1.1244 5 0.4456 2.3054 6 -4.2674 -6.5348 7 -0.8418 -0.2694