Part 1:

Question 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. 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. The Nyquist sampling frequency requirement states _____.

the sampling frequency must be equal to the maximum input frequency

the sampling frequency must be greater than or equal to the maximum input frequency

the sampling frequency must be equal to twice the maximum input frequency

the sampling frequency must be greater than or equal to twice the maximum input frequency

Question 4. Given an 8-bit A/D converter, what is the quantization resolution if digitizing a signal from 0V to 5V DC?

0.0195 V/bit

0.195 V/bit

0.0390 V/bit

0.0039 V/bit

Question 5. For a moving average filter with bk coefficients equal to 0.2 and given that the input to the filter starts at sample x[n], how many input samples are required to define all input terms for all filter coefficients?

0

1

5

10

Question 6. An FIR filter with M + 1 coefficients has how many poles and how many zeros?

M zeros and M + 1 poles

M + 1 zeros and M poles

M + 1 zeros and M + 1 poles

M zeros and M poles

Question 7. A band pass 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. Which one of the following statements is not an accurate description of potential problems when implementing FIR filters in hardware?

Filter coefficient quantization

Repetitive multiplication and addition operations

Lower stop band attenuation

Only certain types of FIR filters may be implemented.

Question 9. Which one of the following statements does not describe a Butterworth low pass filter?

Are the simplest filters in the IIR family

The filter shape for an nth order Butterworth filter is similar to that of a first order Butterworth filter.

The cutoff frequency and the roll-off rate are chosen independently.

Butterworth filter polynomials utilize hyperbolic cosine functions to determine the order of the polynomial.

Question 10. From the Frequency Response graph shown below, what is the minimum stop band attenuation?

0 dB

19 dB

-20 dB

Off the scale, cannot read

Question 11. 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. The transfer function for a simple low pass analog filter is _____.

H(s) =

H(s) =

H(s) =

H(s) =

Question 13. In Chebyshev filter design, what parameter is the symbol ε used in conjunction?

Stop band ripple

Pass band ripple

Stop band edge frequency

Pass band edge frequency

Question 14. To determine if an IIR filter's coefficients are still stable after quantization, it is best to do which of the following operations?

Implement the filter in hardware and then test the filter.

Substitute the quantized coefficients into the transfer function and recalculate the magnitude of the zeros.

Substitute the quantized coefficients into the transfer function and recalculate the magnitude of the poles.

Substitute the quantized coefficients into the transfer function and recalculate the discrete time Fourier transform to determine the frequency response.

Part 2:

Question 1. If a 11 kHz sine wave was sampled at 20 kHz, what would the apparent signal be?

Question 2. What is the primary purpose of a window function?

Question 3. For a 7-term moving average filter, what effect do the poles have on the frequency magnitude response and why?

Question 4. What is the definition of pass band ripple for a windowed, impulse response low pass FIR filter?

Question 5. Why is pre-warping an important process that should be done prior to performing a bilinear transformation on an analog filter?

Question 6. Given an analog signal with a maximum positive voltage of 5 volts and an 8-bit analog to digital converter, what will be the quantized value of an input voltage of 2.70 volts?

Question 7. You are to select a window function to limit the number of samples of an infinite impulse response, and the filter specifications are the same regardless of which window function you select. If you are given the option of using either a Hamming or a Blackman window function, which window function would you select and why if your primary concern was execution speed and the required amount of memory in a real-time?

Question 8. Given a Butterworth low pass filter design with a pass band edge frequency of 400 Hz and a sampling frequency of 4000 Hz, find the radian value of the prewarped frequency ωp1.

Question 9. Compare and explain the major differences between Butterworth, Chebyshev Type I, Chebyshev Type II, and elliptical filters.

Question 10. What is the value of the coefficient +0.1837 if it is quantized to 6 bits?

Question 11. Given the following set of inputs, x[n], to a three-term moving average filter, calculate y[n] for the last 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

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