If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a low pass filter with a pass band 10 rad/sec?(a) \(\frac{100}{s^2+10s+100}\)(b) \(\frac{s^2}{s^2+s+1}\)(c) \(\frac{s^2}{s^2+10s+100}\)(d) None of the mentionedThe question was posed to me by my college director while I was bunking the class.My doubt stems from Design of Low Pass Butterworth Filters topic in section Digital Filters Design of Digital Signal Processing

If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low

1.	If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a low pass filter with a pass band 10 rad/sec?(a) \(\frac{100}{s^2+10s+100}\)(b) \(\frac{s^2}{s^2+s+1}\)(c) \(\frac{s^2}{s^2+10s+100}\)(d) None of the mentionedThe question was posed to me by my college director while I was bunking the class.My doubt stems from Design of Low Pass Butterworth Filters topic in section Digital Filters Design of Digital Signal Processing
Answer» The correct option is (a) \(\frac{100}{s^2+10s+100}\) The BEST EXPLANATION: The LOW pass-to-low pass transformation is s→s/Ωu Hence the required low pass filter is Ha(s)=H(s)\|s→s/10 =\(\frac{100}{s^2+10s+100}\).

Discussion

No Comment Found

Related InterviewSolutions

What is the magnitude response |W(ω)| of a rectangular window function?(a) \(\frac{|sin(ωM/2)|}{|sin(ω/2)|}\)(b) \(\frac{|sin(ω/2)|}{|sin(ωM/2)|}\)(c) \(\frac{|cos(ωM/2)|}{|sin(ω/2)|}\)(d) None of the mentionedThis question was addressed to me in a national level competition.This question is from Design of Linear Phase FIR Filters Using Windows topic in portion Digital Filters Design of Digital Signal Processing
What is the Fourier transform of the rectangular window of length M-1?(a) \(e^{jω(M-1)/2} \frac{sin⁡(\frac{ωM}{2})}{sin⁡(\frac{ω}{2})}\)(b) \(e^{jω(M+1)/2} \frac{sin⁡(\frac{ωM}{2})}{sin⁡(\frac{ω}{2})}\)(c) \(e^{-jω(M+1)/2} \frac{sin⁡(\frac{ωM}{2})}{sin⁡(\frac{ω}{2})}\)(d) \(e^{-jω(M-1)/2} \frac{sin⁡(\frac{ωM}{2})}{sin⁡(\frac{ω}{2})}\)I have been asked this question by my college director while I was bunking the class.Enquiry is from Design of Linear Phase FIR Filters Using Windows in portion Digital Filters Design of Digital Signal Processing
For |x|≤1, |TN(x)|≤1, and it oscillates between -1 and +1 a number of times proportional to N.(a) True(b) FalseThe question was posed to me during an interview for a job.My question comes from Chebyshev Filters topic in chapter Digital Filters Design of Digital Signal Processing
What is the value of chebyshev polynomial of degree 5?(a) 16x^5+20x^3-5x(b) 16x^5+20x^3+5x(c) 16x^5-20x^3+5x(d) 16x^5-20x^3-5xThe question was asked in examination.This question is from Chebyshev Filters topic in section Digital Filters Design of Digital Signal Processing
C=I is the desired normalization factor.(a) True(b) FalseI had been asked this question in an online quiz.My query is from Interpolation by a Factor I topic in portion Digital Filters Design of Digital Signal Processing
Which of the following is true about the interpolated signal whose spectrum is V(ωy)?(a) (I-1)-fold non-periodic(b) (I-1)-fold periodic repetition(c) I-fold non periodic(d) I-fold periodic repetitionThis question was posed to me during a job interview.The doubt is from Interpolation by a Factor I in section Digital Filters Design of Digital Signal Processing
If x(m) and v(m) are the original and interpolated signals and ωy denotes the frequency variable relative to the new sampling rate, then V(ωy)= X(ωyI).(a) True(b) FalseI have been asked this question in unit test.Asked question is from Interpolation by a Factor I in section Digital Filters Design of Digital Signal Processing
The following sampling rate conversion technique is interpolation by a factor I.(a) True(b) FalseI got this question during an interview.Origin of the question is Interpolation by a Factor I topic in division Digital Filters Design of Digital Signal Processing
What is the relationship between ωx and ωy?(a) ωy= ωx.I(b) ωy= ωx/I(c) ωy= ωx+I(d) None of the mentionedThis question was addressed to me during an online interview.The question is from Interpolation by a Factor I topic in portion Digital Filters Design of Digital Signal Processing
If X(z) is the z-transform of x(n), then what is the z-transform of interpolated signal v(m)?(a) X(zI)(b) X(z+I)(c) X(z/I)(d) X(zI)The question was asked in quiz.I'd like to ask this question from Interpolation by a Factor I topic in section Digital Filters Design of Digital Signal Processing

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment