For the following specifications: i. ii. iii. iv. V. pass band (0 lw| 200 radians/sec) stop band (w]> 210 radians/sec) I 0.82 H(w) 1; |H(w) 0.14 Determine the transfer function, H(s) of the Butterworth lowpass filter Sketch the location of the poles in the complex plane and show the ROC Sketch the magnitude spectrum, H(w) What is the impulse response of an ideal low pass filter Discuss the challenge in designing an ideal low pass filter in terms of it's impulse response.