Exam 5: Converting Between Analog and Digital Signals

When the sampling frequency equals $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz }$ the time required for a 10-bit successive-approximation quantizer to make a comparison is $\mathrm { T } _ { \Delta } =--(x, x x) \mu S .$

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Question 1

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$T _ { s } = 1 / f _ { s } = 50 \mu \mathrm { s }$ 10-bit quantizer has requires 10 successive-approximation comparisons. $\mathrm { T } _ { \Delta } = 50 / 10 \mu \mathrm { s } = 5 \mu \mathrm { s } = 5.00$

When the sampling frequency equals $f _ { s } = 44 \mathrm { kHz }$ the sample-and-hold operation maintains the sample value for _____ $( \mathrm { xx } . \mathrm { x } ) \mu \mathrm { s }$

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Question 2

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$\mathrm { T } _ { 5 } = 1 / \mathrm { f } _ { 5 } = 22.7 \mu \mathrm { s }$

A movie shot at 30 frames per second shows a moving wagon having wheels that appear not to be rotating.The minimum rotational speed that produces this aliasing is ______ revolutions per second.

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Question 3

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$f _ { a } = 0 \rightarrow f _ { s } = f _ { 0 } = 30 \mathrm { rps }$

A smartphone display has 1200 columns and 800 rows, spatial frequencies in a row less than ____ $\mathrm { Hz } / \text { row }$ will not produce aliasing.

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Question 4

Consider the analog signal $\cos \left( 2 \pi f _ { o } t \right) \text { with } f _ { o } = 2 \mathrm { kHz } \text {. }$ A value of $f _ { s }$ is chosen that produces aliasing.If the aliasing frequency equals fa = 200Hz, the sampling rate $f _ { 5 }$ that caused this aliasing can be either kHz or kHz.

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Question 5

Your computer uses 8-bits to control the intensity of each R, G, and B LED.the number ofdifferent possible colors that an LED can produce equals _____.

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Question 6

An 10-bit quantizer that extends from 0 to 5V has step size $\Delta = \_\_\_\_\_ ( x . x ) \mathrm { mV }$

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Question 7

A 1,020 Hz sinusoidal waveform that is sampled with $\mathrm { f } _ { \mathrm { s } } = 1 \mathrm { kHz }$ produces the alias frequency equal to ____ Hz?

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Question 8

An 8-bit PWM DAC with period $\mathrm { T } _ { \mathrm { PWM } } = 10 \mathrm {~ms}$ has sub-interval duration $\mathrm { T } _ { \delta } =\_\_\_\_(xx.x) \mu s.$

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Question 9

When the sampling frequency $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz } \text {, }$ the time required for a 10-bit staircase quantizer to make a comparison is $T _ { \Delta } =\_\_\_\_\_( x . x \times x ) \mu s.$

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Question 10

If the maximum frequency present in an analog waveform $f _ { \max } = 20 \mathrm { kHz }$ the period of the sampling frequency $T _ { 5 }$ must be less than _______ $\mu \mathrm { s } .$

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Question 11

A b-bit quantizer spans between 0 and 5V produces a quantization error of less than 0.01V.The value of minimum value of b equals _____.

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Question 12

A 8-bit quantizer that extends from 0 to 5V has produces the binary value 0101 0101.The quantized voltage $\mathrm { V } _ { \mathrm { q } } = \_\_\_\_\_ ( \mathrm { x } . \mathrm { xx } ) \mathrm { V }$

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Question 13

An audio CD can store 650 million bytes of data.If $f _ { s } = 44 \mathrm { kHz }$ with 16-bit quantization, the duration of stereo (two-separate channels) music that can be stored on a CD is ____ (xx) minutes.

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Question 14

The number of steps in an 18-bit quantizer equals _____.

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Question 15

When the sampling frequency equals $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz }$ the time required for a 10-bit successive-approximation quantizer to make a comparison is $\mathrm { T } _ { \Delta } =--(x, x x) \mu S .$

When the sampling frequency equals $f _ { s } = 44 \mathrm { kHz }$ the sample-and-hold operation maintains the sample value for _____ $( \mathrm { xx } . \mathrm { x } ) \mu \mathrm { s }$

A movie shot at 30 frames per second shows a moving wagon having wheels that appear not to be rotating.The minimum rotational speed that produces this aliasing is ______ revolutions per second.

A smartphone display has 1200 columns and 800 rows, spatial frequencies in a row less than ____ $\mathrm { Hz } / \text { row }$ will not produce aliasing.

Your computer uses 8-bits to control the intensity of each R, G, and B LED.the number ofdifferent possible colors that an LED can produce equals _____.

An 10-bit quantizer that extends from 0 to 5V has step size $\Delta = \_\_\_\_\_ ( x . x ) \mathrm { mV }$

A 1,020 Hz sinusoidal waveform that is sampled with $\mathrm { f } _ { \mathrm { s } } = 1 \mathrm { kHz }$ produces the alias frequency equal to ____ Hz?

An 8-bit PWM DAC with period $\mathrm { T } _ { \mathrm { PWM } } = 10 \mathrm {~ms}$ has sub-interval duration $\mathrm { T } _ { \delta } =\_\_\_\_(xx.x) \mu s.$

When the sampling frequency $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz } \text {, }$ the time required for a 10-bit staircase quantizer to make a comparison is $T _ { \Delta } =\_\_\_\_\_( x . x \times x ) \mu s.$

If the maximum frequency present in an analog waveform $f _ { \max } = 20 \mathrm { kHz }$ the period of the sampling frequency $T _ { 5 }$ must be less than _______ $\mu \mathrm { s } .$

A b-bit quantizer spans between 0 and 5V produces a quantization error of less than 0.01V.The value of minimum value of b equals _____.

A 8-bit quantizer that extends from 0 to 5V has produces the binary value 0101 0101.The quantized voltage $\mathrm { V } _ { \mathrm { q } } = \_\_\_\_\_ ( \mathrm { x } . \mathrm { xx } ) \mathrm { V }$

An audio CD can store 650 million bytes of data.If $f _ { s } = 44 \mathrm { kHz }$ with 16-bit quantization, the duration of stereo (two-separate channels) music that can be stored on a CD is ____ (xx) minutes.

The number of steps in an 18-bit quantizer equals _____.

Introduction

Sensors and Actuators

Combinational Logic Circuits

Sequential Logic Circuits

Modeling Random Data and Noise

Detecting Data Signals in Noise

Designing Signals for Multiple-Access Systems

Source Coding

Channel Coding

Data Networks

Symbology

Excel Best Practices

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Exam 5: Converting Between Analog and Digital Signals

When the sampling frequency equals fs=20kHz\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz }fs​=20kHz the time required for a 10-bit successive-approximation quantizer to make a comparison is TΔ=−−(x,xx)μS.\mathrm { T } _ { \Delta } =--(x, x x) \mu S .TΔ​=−−(x,xx)μS.

When the sampling frequency equals fs=44kHzf _ { s } = 44 \mathrm { kHz }fs​=44kHz the sample-and-hold operation maintains the sample value for _____ (xx.x)μs( \mathrm { xx } . \mathrm { x } ) \mu \mathrm { s }(xx.x)μs

A movie shot at 30 frames per second shows a moving wagon having wheels that appear not to be rotating.The minimum rotational speed that produces this aliasing is ______ revolutions per second.

A smartphone display has 1200 columns and 800 rows, spatial frequencies in a row less than ____ Hz/ row \mathrm { Hz } / \text { row }Hz/ row will not produce aliasing.

Your computer uses 8-bits to control the intensity of each R, G, and B LED.the number ofdifferent possible colors that an LED can produce equals _____.

An 10-bit quantizer that extends from 0 to 5V has step size Δ=_____(x.x)mV\Delta = \_\_\_\_\_ ( x . x ) \mathrm { mV }Δ=_____(x.x)mV

A 1,020 Hz sinusoidal waveform that is sampled with fs=1kHz\mathrm { f } _ { \mathrm { s } } = 1 \mathrm { kHz }fs​=1kHz produces the alias frequency equal to ____ Hz?

An 8-bit PWM DAC with period TPWM=10 ms\mathrm { T } _ { \mathrm { PWM } } = 10 \mathrm {~ms}TPWM​=10 ms has sub-interval duration Tδ=____(xx.x)μs.\mathrm { T } _ { \delta } =\_\_\_\_(xx.x) \mu s.Tδ​=____(xx.x)μs.

When the sampling frequency fs=20kHz, \mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz } \text {, }fs​=20kHz, the time required for a 10-bit staircase quantizer to make a comparison is TΔ=_____(x.x×x)μs.T _ { \Delta } =\_\_\_\_\_( x . x \times x ) \mu s.TΔ​=_____(x.x×x)μs.

If the maximum frequency present in an analog waveform fmax⁡=20kHzf _ { \max } = 20 \mathrm { kHz }fmax​=20kHz the period of the sampling frequency T5T _ { 5 }T5​ must be less than _______ μs.\mu \mathrm { s } .μs.

A b-bit quantizer spans between 0 and 5V produces a quantization error of less than 0.01V.The value of minimum value of b equals _____.

A 8-bit quantizer that extends from 0 to 5V has produces the binary value 0101 0101.The quantized voltage Vq=_____(x.xx)V\mathrm { V } _ { \mathrm { q } } = \_\_\_\_\_ ( \mathrm { x } . \mathrm { xx } ) \mathrm { V }Vq​=_____(x.xx)V

An audio CD can store 650 million bytes of data.If fs=44kHzf _ { s } = 44 \mathrm { kHz }fs​=44kHz with 16-bit quantization, the duration of stereo (two-separate channels) music that can be stored on a CD is ____ (xx) minutes.

The number of steps in an 18-bit quantizer equals _____.

Introduction

Sensors and Actuators

Combinational Logic Circuits

Sequential Logic Circuits

Modeling Random Data and Noise

Detecting Data Signals in Noise

Designing Signals for Multiple-Access Systems

Source Coding

Channel Coding

Data Networks

Symbology

Excel Best Practices

Filters

When the sampling frequency equals $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz }$ the time required for a 10-bit successive-approximation quantizer to make a comparison is $\mathrm { T } _ { \Delta } =--(x, x x) \mu S .$

When the sampling frequency equals $f _ { s } = 44 \mathrm { kHz }$ the sample-and-hold operation maintains the sample value for _____ $( \mathrm { xx } . \mathrm { x } ) \mu \mathrm { s }$

A smartphone display has 1200 columns and 800 rows, spatial frequencies in a row less than ____ $\mathrm { Hz } / \text { row }$ will not produce aliasing.

An 10-bit quantizer that extends from 0 to 5V has step size $\Delta = \_\_\_\_\_ ( x . x ) \mathrm { mV }$

A 1,020 Hz sinusoidal waveform that is sampled with $\mathrm { f } _ { \mathrm { s } } = 1 \mathrm { kHz }$ produces the alias frequency equal to ____ Hz?

An 8-bit PWM DAC with period $\mathrm { T } _ { \mathrm { PWM } } = 10 \mathrm {~ms}$ has sub-interval duration $\mathrm { T } _ { \delta } =\_\_\_\_(xx.x) \mu s.$

When the sampling frequency $\mathrm { f } _ { \mathrm { s } } = 20 \mathrm { kHz } \text {, }$ the time required for a 10-bit staircase quantizer to make a comparison is $T _ { \Delta } =\_\_\_\_\_( x . x \times x ) \mu s.$

If the maximum frequency present in an analog waveform $f _ { \max } = 20 \mathrm { kHz }$ the period of the sampling frequency $T _ { 5 }$ must be less than _______ $\mu \mathrm { s } .$

A 8-bit quantizer that extends from 0 to 5V has produces the binary value 0101 0101.The quantized voltage $\mathrm { V } _ { \mathrm { q } } = \_\_\_\_\_ ( \mathrm { x } . \mathrm { xx } ) \mathrm { V }$

An audio CD can store 650 million bytes of data.If $f _ { s } = 44 \mathrm { kHz }$ with 16-bit quantization, the duration of stereo (two-separate channels) music that can be stored on a CD is ____ (xx) minutes.