I’m working on a electrical engineering question and need support to help me learn.solve those 4 questions.problem 1. circle the correct answerProblem 2 . Design a digital filter to remove the 60 Hz signal completely for a sampling frequency
of 720 Hz.
a) What is your transfer function?
b) Find the magnitude of your transfer function at 0, 30 and 60 Hz and sketch the entire transfer
function as a function of the true frequency.
c) If the input signal is 10sin(120t)+sin(60t)+0.5, what is the system’s output? (Include all
necessary information to get full credit.)Problem 3 . 1) Input signal is x(t)= 2sin(60t)+3cos(610t). Apply a first order analog Butterworth low-pass
filter with a cutoff frequency at 100 Hz to the input. What are the output amplitudes at the two frequencies?
2) The same signal x(t) is now digitally sampled with the sampling frequency fs=300 Hz. Output y(n)=(x[n]+x[n1]+x[n-2])/3, what is the output signal in the time-domain?Problem 4 . Describe the steps that allow you to find the durations of P, T and QRS waves in an
ECG. It is known that the sharpest changes are in the QRS, the next sharpest change occurs in the P
wave, T wave is known to have the slowest changes. The data contains some random noise that needs
to be reduced before further processing.
Requirements: 200