1) Input signal is x(t)= 2sin(60rt)+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? e 2) The same signal x(t) is now digitally sampled with the sampling frequency fs=300 Hz. Output y(n)=(x[n]+x[n=1]±x[n-2])/3, what is the output signal in the time-domain?k

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1) Input signal is x(t)= 2sin(60rt)+3cos(610rt). 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? e
2) The same signal x(t) is now digitally sampled with the sampling frequency fs=300 Hz. Output y(n)=(x[n]+x[n-1]±X[n-2])/3,
what is the output signal in the time-domain?
Transcribed Image Text:1) Input signal is x(t)= 2sin(60rt)+3cos(610rt). 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? e 2) The same signal x(t) is now digitally sampled with the sampling frequency fs=300 Hz. Output y(n)=(x[n]+x[n-1]±X[n-2])/3, what is the output signal in the time-domain?
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