PART 1:Assume a high-pass filter with 80dB stop-band suppression and cutoff frequency of 100Hz. Now assume you generated an input signal x(t)=sin(2*pi*10*t)+20*sin(2*pi*500*t), where t is measured in seconds. What is the magnitude of a signal at 10Hz, 200Hz and 500Hz at the output of the filter?
PLEASE ANSWER ALL QUESTIONS THEY ARE SUBSECTIONS OF ONE QUESTION. ANY ODING IS FOR PYTHON THANK YOU.
PART 1:Assume a high-pass filter with 80dB stop-band suppression and cutoff frequency of
100Hz. Now assume you generated an input signal
x(t)=sin(2*pi*10*t)+20*sin(2*pi*500*t), where t is measured in seconds. What is the
magnitude of a signal at 10Hz, 200Hz and 500Hz at the output of the filter?
PART 2: On a scale from 0 to 1, (0 corresponding to DC, and 1 to Nyquist frequency) what
value corresponds to 50Hz if the sampling rate is 2KHz. 50/1000 = 0.05
PART 3: Draw the magnitude response of an ideal high pass filter with stop-band cutoff of
100Hz and pass-band cutoff of 200Hz and a Nyquist frequency of 1kHz. What is the
roll-off of this filter measured in dB per Hz in this example?
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