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The magnitude frequency response of a filter

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Reference no: EM131081219

1. (TCO 1) The magnitude frequency response of a filter is usually graphed in decibels versus frequency using which of the following equations?

      20 log (Vout)
      Vout
      20 log (Vout/Vin)
      Vout/Vin

Question 2. 2. (TCO 2) If a 16-bit, ratiometric analog to digital converter is used to sample a signal, how many possible values may be represented?

      65535
      65536
      32767
      32768
 

Question 3. 3. (TCO 2) If the sampling of an analog is below the Nyquist requirement, what phenomenon can occur?

      Imaging
      Band-limiting
      Aliasing
      Roll-off

Question 4. 4. (TCO 3) Which equation correctly describes a sampled signal with values of 1 at n = 0, 1, 2, and 3 and 0 everywhere else?

      x[n] = u[n] - u[n-3]
      x[n] = u[n] - u[n-4]
      x[n] = u[n-4] -  u[n]
      x[n] = u[n] + u[n-1] + u[n-2] + u[n-3]

Question 5. 5. (TCO 3) A digital function is written as x[n] = δ[n] - 0.5δ[n - 2]. What is the equation if x[n] is delayed for two samples?

      x[n] = δ[n] - 0.5δ[n - 2]
      x[n -2] = δ[n - 2] - 0.5δ[n - 4]
      x[n] = δ[n] - 0.5δ[n - 2]
      x[n -2] = δ[n] - 0.5δ[n - 2]

Question 6. 6. (TCO 4) For a 7-term moving average filter, the lowest digital frequency where the gain is zero occurs at what frequency ??

      0.449 radians
      0.143 radians
      0.898 radians
      Zero gain never occurs.

Question 7. 7. (TCO 5) A band stop filter may be created by which process?

      Cascading a low pass filter with a high pass filter
      Cascading two band pass filters
      Summing a low pass and a high pass filter
      Summing two band pass filters

Question 8. 8. (TCO 5) In designing a FIR filter, a symmetrical impulse response produces _____.

      a frequency shifted magnitude response
      a time-delayed version of the filter coefficients
      a linear phase relationship in the pass band of the filter
      a nonlinear phase relationship in the pass band of the filter

Question 9. 9. (TCO 6) For an nth order analog Butterworth filter, when it is bilinearly transformed to an IIR filter, how is the resulting transfer function best described?

      The transfer function will have 2n + 1 coefficients with n poles and n zeros.
      The transfer function will have 2n + 1 coefficients with n + 1 poles and n zeros.
      The transfer function will have 2n + 1 coefficients with n poles and n + 1 zeros.
      The transfer function will have 2n coefficients with n poles and n zeros.

11. (TCO 3) What are all of the ak coefficients for the following difference equation?
y[n] = 0.5y[n-2] + 0.25x[n] - 0.33x[n-1].

      1.0
      There are none.
      1.0 and 0.5
      0.25 and -0.33

Question 12. 12. (TCO 6) Which statement is not an accurate statement for bilinear transformations?

      It converts an analog transfer function into a digital transfer function.
      To prevent distortion of the filter shape, the frequencies of the analog transfer function must be pre-warped.
      It is the only method of designing IIR filters.
      Computer software is usually used for high-order filters.

Question 13. 13. (TCO 7) Cn(x) is known as _____.

      the notation for the Fourier series coefficients
      the notation for the Chebyshev transfer function
      the notation for the Chebyshev polynomial
      the notation for the hyperbolic cosine function used for Chebyshev filter design

Question 14. 14. (TCO 7) A potential hazard of implementing an IIR filter in hardware due to coefficient quantization is which of the following?

      The filter may take too long to execute.
      The frequency magnitude response of the filter may be dramatically affected or altered.
      The filter may have to be redesigned as an FIR filter.
      There may not be enough available memory to hold both the coefficients and the data.

1.       (TCO 2) If a sine wave is sampled at exactly twice its frequency and at its zero crossing, how would the resulting sampled signal best be described?

3. (TCO 5)  For a 7-term moving average filter, how many of the zeros affect the frequency magnitude response from 0 to π radians and how many response minimums are there as a result?

Question 4. 4. (TCO 4) For a windowed, impulse response low pass FIR filter design, given a transition width of 400 Hz and a pass band edge frequency of 5.0 kHz, what is the desired pass band frequency?

Question 5. 5. (TCO 6) What is a common difference between the pass band characteristics of a Butterworth filter versus a Chebyshev Type I filter?

Question 6. 6. (TCO 2) What is the dynamic range of a 16-bit analog to digital converter?

Question 7. 7. (TCO 4) Given that you are required to use a Hanning window function to design a low pass FIR filter, how many filter coefficients will be required if the filter uses a sampling frequency of 10 kHz and if the transition width is 500 Hz?

Question 8. 8. (TCO 6) Given a Butterworth low pass filter design with a stop band edge frequency of 1600 Hz and a sampling frequency of 4000 Hz, find the radian value of the prewarped frequency ωp1.

Question 9. 9. (TCO 6) What is the main reason that bilinear transformation is used in IIR filter design?

Question 10. 10. (TCO 7) What is the value of the coefficient +0.1837 if it is quantized to 5 bits?

 

Question 11. 11. (TCO 3) Given the following set of inputs, x[n], to a three-term moving average filter, calculate y[n] for the first output where all the inputs to the moving average are defined.
x[0] = 3, x[1] = 5, x[2] = 8, x[3] = 7, x[4] = 4, x[5] = 2, x[6] = 1

Reference no: EM131081219

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