### What is the primary purpose of a window function

Assignment Help Electrical Engineering
##### Reference no: EM131034162

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
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
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

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

#### Questions Cloud

 Compare hayek and keynes : Compare Hayek and Keynes' differing philosophies for economic management. Describe the basic purposes and functions of the area : Describe the basic purpose(s) and function(s) of the area. Don't oversimplify your explanations. For example, a typical HR department does not just hire and fire. What was the battle of ideas : What was the 'battle of ideas'? Explain in 100 words. Determine your bid proposal should be based on a fixed-price : Analyze the primary way(s) in which a multiyear contract would benefit both the Navy and your business. What is the primary purpose of a window function : What is the primary purpose of a window function? For a 7-term moving average filter, what effect do the poles have on the frequency magnitude response and why? Is this also true for a real-gas mixture : The sum of the mole fractions for an ideal-gas mixture is equal to 1. Is this also true for a real-gas mixture? Sales at world camera and electronics : Sales personnel at World Camera and Electronics are given a financial incentive to sell overstocked cameras; each week, the management identifies a particular camera that sales-people should try to sell over other brands. When such cameras are sold, .. Will all the mass fractions be identical : Will all the mass fractions be identical? How about the mole fractions? Supply chain management decisions impact the ability : Discuss how supply chain management decisions impact the ability to excel in certain dimensions. Specifically consider:

### Write a Review

#### What is minimum level of positive envelope for an am signal

What is the minimum level of the positive envelope for an AM signal with an unmodulated peak carrier level of 30 V and 80% modulation

#### Find what is the cost of heat without the installation

If the cost of heat rises by \$200 per year (uniform gradient) after the next year and the owner plans to keep the present building for 15 more years, if the interest is 10% per year, what is the cost of heat without the installation

#### What is meant by the term propagation delay

What voltage levels typically define a logic 0 and a logic 1 in the newer logics today.  What are the major semiconductor technologies used in making integrated circuits today. What is the difference between sinking current and sourcing current.

#### What is the rms value of the secondary transformer voltage

Design a full wave (60Hz) rectifier circuit with the capacitor filter that produces 5V 10A DC at the output with the ripple voltage of less than 5%. (Assume Von = 1 for the diodes and do not forget to draw your circuit and a time diagram of the vo..

#### What is the power recieved in the rr-ll and rl polarizations

If a particular radar reciever can detect the target using HH polarization at a maximum distance of 10km, find the maximum distance at which the target can be detected using VV polarization. Assume a standard radar equation.

#### How much energy does the battery supply to external circuit

A portable battery supplies electricity to an external circuit for 2 hours. The voltage across the terminals of the battery is observed to increase from initial voltage of 5V to 10V (linearly) and the current increases from 1A to 2A (linearly) in ..

#### Determine what is the torque developed by the motor

The line voltage is 120V, the armature resistance is 0.7 Ω and the series field-winding resistance is 0.5Ω. What is the torque developed by the motor. For the motor to operate at a speed of 2400rpm,

#### Build a home security system circuit using this program the

build a home security system circuit using this program. the system must include 2 door sensors 3 window sensors 2

#### What is the blocking probability of the system

What is the blocking probability of the system in (b) when the maximum number of users are available in the user pool?

#### Calculate the current that flows in the remaining two

Three 5 ohm resistors are connected in wye across a 3-phase,480V line. Calculate the current flowing in each. If one of the resistors is disconnected, calculate the current that flows in the remaining two.

#### Write the real and imaginary parts of v

Determine V = VA+ Vt. in both its rectangular and polar forms and Write the real and imaginary parts of V.

#### Determine poles and zeros and gain for the analogue filter

In this section the linear phase constraint will be dropped, and a magnitude only design sought for the low-pass filter using the bilinear transform of Butterworth and Elliptic analog prototypes. The steps are (a). Decide on an analog prototy..