EL3E2_20250115

To extract the output signal y(t)=1 from x(t)=1+cos(2*pi*1000*t)+sin(2*pi*10000*t). Which filter should be used?

• highpass filter
• bandpass filter
• lowpass filter
• bandstop filter

Which protype of filter has linear phase response on passband?

• Elliptic
• Chebyshev-I
• Bessel
• Chebyshev-II

Which protype of filter does not have ripple on passband, neither on stopband?

• Cauer
• Chebyshev
• Butterworth
• Inverse Chebyshev

How many components (capacitors and inductors) that we need for Chebyshev-II order 7 with RS=RL=1 Ohm?

• 3 capacitors and 4 inductors
• 4 capacitors and 3 inductors
• 7 capacitors and 3 inductors
• 7 capacitors and 0 inductors

How many components (capacitors and inductors) that we need for Chebyshev-I order 7 with RS=0.01 Ohms and RL=1 Ohm?

• 3 capacitors and 4 inductors
• 4 capacitors and 3 inductors
• 7 capacitors and 3 inductors
• 0 capacitors and 7 inductors

What is the best order of Chebyshev lowpass filter with Rp=1dB to obtain attenuation As>=40dB at w=10wc while RS=RL=1 Ohm?

• n=3
• n=2
• n=4
• n=1

What is the normalized value of the first component for Chebyshev-II lowpass filter for order n=3 and ws=1 rad/s and for attenuation As=60dB?

• C1=6.259915
• C1=1.18689
• C1=0.987479
• C1=0.495392

What is the normalized value of the first component for Chebyshev-II lowpass filter for order n=3 and wc=1 rad/s and for attenuation As=60dB?

• L'1=0.987479
• C1=1.18689
• C1=6.259915
• L'1=0.495392

A lowpass filter has cut-off frequency Fc=20 kHz. What is the expected output signal if input signal x(t)=2+cos(2*pi*10*t)+sin(2*pi*100*t)?

• y(t)=2+cos(2*pi*10*t)+sin(2*pi*100*t)
• y(t)=2
• y(t)=sin(2*pi*100*t)
• y(t)=2+cos(2*pi*10*t)

A bandpass filter has cut-off frequencies Fc1=10 Hz and Fc2=1000Hz. What is the expected output signal if input signal x(t)=2+cos(2*pi*50*t)+sin(2*pi*500*t)?

• y(t)=cos(2*pi*50*t)+sin(2*pi*500*t)
• y(t)=0
• y(t)=sin(2*pi*500*t)
• y(t)=cos(2*pi*50*t)