Test Your Understanding of the Nyquist Limit and Binary Amplitude Encoding

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Information transfer is a ______ process

physical

In this class, we generally care about electrical signals (on a ______)

wire

In this class, we generally care about optical signals (in a ______)

fiber

Information carriers can also be sound ______

waves

Information carriers can also be ______ states

quantum

Information carriers can also be ______ & paper, etc.

ink

Amplitude Modulation (AM) changes the ______ of the signal.

strength

Modulation is the process of changing a signal to convey ______.

information

Frequency Modulation (FM) changes the ______ of the signal.

frequency

Phase Modulation (PM) changes the ______ of the signal.

phase

Baseband modulation sends the ______ signal.

bare

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals.

product

Aggressive encoding techniques make the signal less sensitive to ______

noise

Bandwidth and distance of networks is limited by the physical properties of the ______

media

Nyquist gives a rough idea of ______ throughput

idealized

Low bandwidth channels require ______ encoding

sophisticated

High bandwidth channels require ______ encoding

simpler

Shannon's formula for channel capacity: C = B x log2(1 + S/N)

C = B x log_2(1 + S/N)

The Nyquist Limit assumes binary ______ encoding

amplitude

A noiseless channel of width H can at most transmit a binary signal at a rate 2 x ______

H

Instead of 0/1, use lots of different ______ to get past the Nyquist Limit

values

Every transmission medium supports transmission in a certain fixed ______ range

frequency

Shannon's theorem: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Noise, attenuation, and dispersion limit the ______ that a channel can sustain

data rate

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

time-share condo

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category 3 (voice grade) versus category 5. 100 Mbit/s up to 100 m, 1 Mbit/s up to a few km. Cost: ~ 10cents/foot. ______.

Coax cables

UTP: Why twist wires. ______.

Provide noise immunity

Fiber Types: Multimode fiber. 62.5 or 50 micron core carries multiple 'modes'. Used at 1.3 microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: 1 Gbps at 100m. ______.

Single mode

Gigabit Ethernet: Physical Layer Comparison. Medium. Transmit/ receive Distance. Comment. Copper. Twisted pair. 1000BASE-CX. 1000BASE-T. 25 m. 100 m machine room use four twisted pairs, IEEE 802.3ab. MM fiber. 62 mm. 1000BASE-SX. 1000BASE-LX. 260 m. 500 m. MM fiber. 50 mm. 1000BASE-SX. 1000BASE-LX. 525 m. 550 m. SM fiber. 1000BASE-LX. 5000 m. Twisted pair. 100BASE-T. 100 m. MM fiber. 100BASE-SX. 2000m. ______.

Twisted pair 1000BASE-T 100 m

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d3. High noise due to interference from other ______.

transmitters

Amplitude Modulation (AM) changes the ______ of the signal.

strength

Frequency Modulation (FM) changes the ______ of the signal.

frequency

Phase Modulation (PM) changes the ______ of the signal.

phase

Baseband modulation sends the ______ signal.

bare

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals.

product

A noiseless channel of width H can at most transmit a binary signal at a rate 2 x ______.

H

Shannon's theorem: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Frequency Modulation (FM) changes the ______ of the signal.

frequency

Every transmission medium supports transmission in a certain fixed ______ range

frequency

Amplitude Modulation (AM) changes the ______ of the signal.

amplitude

High bandwidth channels require ______ encoding

aggressive

Instead of 0/1, use lots of different ______ to get past the Nyquist Limit

values

Shannon's formula for channel capacity: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Aggressive encoding techniques make the signal less sensitive to ______

noise

The Nyquist Limit assumes binary ______ encoding

pulse

Nyquist gives a rough idea of ______ throughput

idealized

Every transmission medium supports transmission in a certain fixed ______ range

frequency

Information carriers can also be ______ & paper, etc.

pen

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. $2$ in free space, typically $2$ to $6$. Signal strength attenuates quickly → $1/d^3$. High noise due to interference from other ______.

devices

In this class, we generally care about electrical signals (on a ______).

wire

Fiber Types: Multimode fiber. $62.5$ or $50$ micron core carries multiple 'modes'. Used at $1.3$ microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: $1$ Gbps at $100$m. ______.

Multimode fiber

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category $3$ (voice grade) versus category $5$. $100$ Mbit/s up to $100$ m, $1$ Mbit/s up to a few km. Cost: ~ $10$cents/foot. ______.

Unshielded twisted pair (UTP)

Gigabit Ethernet: Physical Layer Comparison. Medium. Transmit/ receive Distance. Comment. Copper. Twisted pair. $1000$BASE-CX. $1000$BASE-T. $25$ m. $100$ m machine room use four twisted pairs, IEEE $802.3ab$. MM fiber. $62$ mm. $1000$BASE-SX. $1000$BASE-LX. $260$ m. $500$ m. MM fiber. $50$ mm. $1000$BASE-SX. $1000$BASE-LX. $525$ m. $550$ m. SM fiber. $1000$BASE-LX. $5000$ m. Twisted pair. $100$BASE-T. $100$ m. MM fiber. $100$BASE-SX. $2000$m. ______.

SM fiber

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

cellular networks

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

time-share condo

Gigabit Ethernet: Physical Layer Comparison. Medium. Transmit/ receive Distance. Comment. Copper. Twisted pair. 1000BASE-CX. 1000BASE-T. 25 m. 100 m machine room use four twisted pairs, IEEE 802.3ab. MM fiber. 62 mm. 1000BASE-SX. 1000BASE-LX. 260 m. 500 m. MM fiber. 50 mm. 1000BASE-SX. 1000BASE-LX. 525 m. 550 m. SM fiber. 1000BASE-LX. 5000 m. Twisted pair. 100BASE-T. 100 m. MM fiber. 100BASE-SX. 2000m. ______.

100BASE-SX

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d3. High noise due to interference from other ______.

transmitters

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category 3 (voice grade) versus category 5. 100 Mbit/s up to 100 m, 1 Mbit/s up to a few km. Cost: ~ 10cents/foot. ______.

Coax cables

Fiber Types: Multimode fiber. 62.5 or 50 micron core carries multiple 'modes'. Used at 1.3 microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: 1 Gbps at 100m. ______.

Single mode

UTP: Why twist wires. ______.

Provide noise immunity

Modulation is the process of changing a signal to convey ______.

information

Frequency Modulation (FM) changes the ______ of the signal.

frequency

Amplitude Modulation (AM) changes the ______ of the signal.

strength

Phase Modulation (PM) changes the ______ of the signal.

phase

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals.

product

A noiseless channel of width H can at most transmit a binary signal at a rate 2 x ______.

H

Shannon's theorem: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Every transmission medium supports transmission in a certain fixed ______ range

frequency

Instead of 0/1, use lots of different ______ to get past the Nyquist Limit

values

Shannon's formula for channel capacity: ______

C = B x log2(1 + S/N)

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

multiplexing

High bandwidth channels require ______ encoding

aggressive

Bandwidth and distance of networks is limited by the physical properties of the ______

media

Shannon's formula for channel capacity: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Aggressive encoding techniques make the signal less sensitive to ______

noise

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category 3 (voice grade) versus category 5. 100 Mbit/s up to 100 m, 1 Mbit/s up to a few km. Cost: ~ 10 cents/foot. ______.

UTP

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

FDMA

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d3. High noise due to interference from other ______.

sources

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

time-share condo

Fiber Types: Multimode fiber. 62.5 or 50 micron core carries multiple 'modes'. Used at 1.3 microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: 1 Gbps at 100m. ______.

Single mode

UTP: Why twist wires. ______.

Provide noise immunity

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category 3 (voice grade) versus category 5. 100 Mbit/s up to 100 m, 1 Mbit/s up to a few km. Cost: ~ 10cents/foot. ______.

Coax cables

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d3. High noise due to interference from other ______.

transmitters

Gigabit Ethernet: Physical Layer Comparison. Medium. Transmit/ receive Distance. Comment. Copper. Twisted pair. 1000BASE-CX. 1000BASE-T. 25 m. 100 m machine room use four twisted pairs, IEEE 802.3ab. MM fiber. 62 mm. 1000BASE-SX. 1000BASE-LX. 260 m. 500 m. MM fiber. 50 mm. 1000BASE-SX. 1000BASE-LX. 525 m. 550 m. SM fiber. 1000BASE-LX. 5000 m. Twisted pair. 100BASE-T. 100 m. MM fiber. 100BASE-SX. 2000m. ______.

1000BASE-LX

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. $2$ in free space, typically $2$ to $6$. Signal strength attenuates quickly → $1/d^3$. High noise due to interference from other ______.

devices

Phase Modulation (PM) changes the ______ of the signal.

phase

Fiber Types: Multimode fiber. $62.5$ or $50$ micron core carries multiple 'modes'. Used at $1.3$ microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: $1$ Gbps at $100$m. ______.

multimode

Every transmission medium supports transmission in a certain fixed ______ range.

frequency

Modulation is the process of changing a signal to convey ______.

information

In this class, we generally care about electrical signals (on a ______).

wire

Aggressive encoding techniques make the signal less sensitive to ______

noise

Every transmission medium supports transmission in a certain fixed ______ range

frequency

Nyquist gives a rough idea of ______ throughput

idealized

Every transmission medium supports transmission in a certain fixed ______ range

bandwidth

Amplitude Modulation (AM) changes the ______ of the signal

amplitude

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals

multiplication

Information transfer is a physical process. In this class, we generally care about ______ signals (on a wire)

Electrical

Information carriers can also be ______ waves

EM

Physical layer. Datalink layer introduction, framing, error coding, switched networks. Broadcast-networks, home networking. F'11 Application Presentation Session Transport Network ______ Physical

Datalink

Bandwidth and distance of networks is limited by the physical properties of the ______

Transmission medium

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d^3. High noise due to interference from other ______

Sources

The Nyquist Limit assumes binary ______ encoding

Pulse

Shannon's theorem: C = B x log2(1 + S/N), where C is maximum capacity (bps), B is channel bandwidth (Hz), and S/N is signal to noise ______ of the channel

ratio

Fiber Types: Multimode fiber. 62.5 or 50 micron core carries multiple 'modes'. Used at 1.3 microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: 1 Gbps at 100m. ______.

MM fiber

A noiseless channel of width H can at most transmit a binary signal at a rate 2 x ______.

H

High bandwidth channels require ______ encoding

aggressive

Every transmission medium supports transmission in a certain fixed ______ range.

frequency

Instead of 0/1, use lots of different ______ to get past the Nyquist Limit

values

Frequency Modulation (FM) changes the ______ of the signal.

frequency

Amplitude Modulation (AM) changes the ______ of the signal.

strength

Phase Modulation (PM) changes the ______ of the signal.

phase

Baseband modulation sends the ______ signal.

bare

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals.

product

Every transmission medium supports transmission in a certain fixed ______ range.

frequency

Frequency versus Time-division Multiplexing: With TDM different users send at different times. I.e. each user can send at full speed some of the time. Example: ______.

time-share condo

Copper Wire: Unshielded twisted pair (UTP). Two copper wires twisted - avoid antenna effect. Grouped into cables: multiple pairs with common sheath. Category 3 (voice grade) versus category 5. 100 Mbit/s up to 100 m, 1 Mbit/s up to a few km. Cost: ~ 10cents/foot. ______.

Coax cables

Wireless Technologies: Great technology: no wires to install, convenient mobility, ... High attenuation limits distances. Wave propagates out as a sphere Huh. 2 in free space, typically 2 to 6. Signal strength attenuates quickly → 1/d3. High noise due to interference from other ______.

transmitters

Fiber Types: Multimode fiber. 62.5 or 50 micron core carries multiple 'modes'. Used at 1.3 microns, usually LED source. Subject to mode dispersion: different propagation modes travel at different speeds. Typical limit: 1 Gbps at 100m. ______.

Single mode

Carrier modulation uses the signal to modulate a higher frequency signal (carrier) and can be viewed as the ______ of the two signals.

product

Modulation is the process of changing a signal to convey ______.

information

Quiz: The Nyquist Limit in Binary Amplitude Encoding Test your knowledge about the Nyquist limit and binary amplitude encoding with this quiz. Learn about the maximum data transmission rate in a noiseless channel and how to calculate it using the Nyquist formula. Discover the relationship between channel width and data transmission speed. Challenge yourself and see how well you understand this important concept in communication systems.

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