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WorksheetsFINALS ECE 3109
Total questions: 90
Worksheet time: 2hrs 30mins
A complex low-pass signal has a bandwidth of 200 kHz. What is the minimum sampling rate for this signal?
200 000 Hz
300 000 samples/sec
400 000 samples/sec
200 000 samples/sec
A certain telemetry signal with a duration of 20 seconds is known to have spectral components from near dc to about 1 kHz but has negligible spectral content above that frequency. The signal is to be recorded, converted in digital format, and stored in memory for subsequent processing. To ease in reconstruction of the signal, the sampling rate is to be selected 25% greater than the theoretical minimum. What is the minimum number of samples of the signal that must be taken?
40 000 samples
2 000 samples
50 000 samples
2 500 samples
A telephone subscriber line must have above 40. What is the minimum number of bits per sample?
6 bits
5 bits
7 bits
8 bits
Assume that a signal has been sampled and the sample amplitudes are between -20 and +20V. It was decided to have eight levels (L = 8). What is the SQNRdB?
24.08 dB
49.92 dB
19.82 dB
30.0 dB
Telephone companies digitize voice by assuming a maximum frequency of 4000 Hz. What should be the sampling rate?
4 000 Hz
5 000 Hz
8 000 Hz
6 000 Hz
A pulse modulation technique the process of which is equivalent to the process of converting analog signal to digital data.
PWM
Delta modulation
PCM
PAM
A pulse modulation process that produces a 1-bit code which indicates an increase or decrease in the message signal’s amplitude.
PAM
Delta modulation
PWM
PCM
The process of representing the sampled values of the amplitude by a finite set of levels.
sampling
decoding
quantization
encoding
In the receiver, a _________ filter is used to reconstruct (demodulate) PAM, PWM and PPM signals into a recovered message signal
Band stop filter
Band pass filter
LPF
HPF
Consider the analog signal
x(t) = 3cos50πt + 10sin300πt – cos100πt
The folding frequency is
300 Hz
50 Hz
110 Hz
150 Hz
Consider the analog signal
x(t) = 3cos50πt + 10sin300πt – cos100πt
The discrete time relative frequencies are
1, 1/3, 1/6
50, 150, 300
25, 50, 150
1/12, 1/6, 1/2
The theoretical minimum sampling rate
alias frequency
2 x sampling rate
(baseband bandwidth)/2
Nyquist frequency
The amplitude of each pulse sample is proportional to the amplitude of the message signal at the time of sampling.
PPM
PAM
PCM
PWM
Sampling the message signal at regular intervals with a sample-hold (SH) circuit and producing pulse widths proportional to the message signal’s amplitude at the time of sampling.
PCM
PWM
PAM
Delta modulation
Consider the analog signal
x(t) = 3cos50πt + 10sin300πt – cos100πt
Which component is sampled at its zero crossing points if the signal is sampled at 300 samples per second?
none
10sin300πt
– cos100πt
3cos50πt
In a binary PCM system, the output signal-to-quantizing-noise ratio is to be held to a minimum of 40 dB. Determine the number of required levels.
7
64
32
128
C
B
A
D
A
B
C
D
A
B
D
C
D
C
B
A
A certain telemetry signal with a duration of 15 seconds is known to have spectral content from near dc to about 2 KHz but has negligible spectral content above that frequency. The signal is to be recorded, converted to digital format, and stored in memory for subsequent processing. Determine the theoretical minimum number of samples that must be taken if eventual reconstruction of the analog signal is desired.
60 000 samples
20 000 samples
40 000 samples
30 000 samples
A digital modulation scheme that conveys data by changing, or modulating, the amplitude and phase of a reference carrier wave.
PSK
ASK
QAM
FSK
Which characteristic(s) of the carrier is being varied in Quadrature Phase Shift Keying (QPSK)
amplitude and phase
frequency
phase
amplitude
π /4 DQPSK system is used for the North American TDMA cell phone and PCS systems. This is actually a modified form of ______.
FSK
QAM
8PSK
QPSK
It involves the process of varying the frequency of a carrier wave by choosing one of two frequencies in correspondence to a sequence of digital pulses that constitute the information signal.
FSK
PSK
QAM
ASK
For a 64-PSK, the angular separation between any two adjacent phasors is _____________°
22.5 degrees
5.625 degreees
11.25 degrees
45 degrees
Gaussian minimum shift keying or GMSK is used in the GSM cellular radio and PCS systems. This is a modified form of ____
FSK
QAM
QPSK
PSK
The digital modulation that is most bandwidth efficient is
8QAM
QPSK
8PSK
16PSK
Which characteristic(s) of the carrier is being varied in 64-QAM?
amplitude and phase
frequency and phase
phase only
amplitude and frequency
If the signal constellation has 2048 points, how many bits per baud can be sent?
2048 bits/baud
11 bits/baud
1024 bits/baud
10 bits/baud
Assuming d = 1, what is the required bandwidth for 16-QAM if you need to send 4 Kbps of data?
8000 Hz
16 000 Hz
2000 Hz
4000 Hz
The bandwidth efficiency of a 64PSK is _______
5 bits/cycle
64 bps/Hz
6 bps/Hz
8 bits/cycle
A QPSK modulator has a bit rate fb of 20 Mbps. Its baud is_______
10 Mbaud
15 Mbaud
5 Mbaud
20 Mbaud
If ASK with 8 different amplitudes is used as a modulation technique, the number of bits/baud
2 bits/baud
4 bits/baud
1 bit/baud
3 bits/baud
If the signal constellation has 32 points, how many bits per baud can be sent?
32 bits/baud
3 bits/baud
5 bits/baud
4 bits/baud
For 4000 baud, 32-PSK modulation the bit rate is __________
8000 bps
2000 bps
20000 bps
4000 bps
For 3000 baud, FSK modulation the bit rate is ____
6000 bps
1000 bps
2000 bps
3000 bps
If the maximum message signal frequency is 4kHz and the sample pulse frequency is 12kHz, what frequencies are present in the second replica of the PAM signal?
20 kHz and 28 kHz
8 kHz and 16 kHz
32 kHz and 40 kHz
8 kHz and 12 kHz
Each bit in the code word of a binary PCM contributes ___dB to the output SQNR.
12
10
6
16
A foldover distortion that occurs when analog signals are sampled less than the theoretical minimum sampling rate.
noise
aliasing
Nyquist frequency
interference
Consider the analog signal
x(t) = 3cos50πt + 10sin300πt – cos100πt
The Nyquist rate for this signal is
150 Hz
300 Hz
50 Hz
600 Hz
Consider the analog signal
x(t) = 3cos50πt + 10sin300πt – cos100πt
The most appropriate sampling frequency for the signal x(t) is
300 Hz
150 Hz
400 Hz
200 Hz
On-off Keying (OOK) is an example of ______.
PSK
FSK
ASK
QAM
An 8-PSK signal can undergo almost a ________° phase shift during transmission and still retain its integrity.
5.625 degrees
11.25 degrees
22.5 degrees
45 degrees
Assuming d = 1, what is the required bandwidth for QPSK if you need to send 4 Kbps of data?
2000 Hz
8000 Hz
4000 Hz
1000 Hz
A BPSK modulator has a bit rate fb of 10Mbps. Its minimum Nyquist bandwidth is
20 MHz
5 MHz
15 MHz
10 MHz
A T-4 can multiplex how many voice channels?
3096
2048
1098
4032
The European standard E1 carrier system used in digital telephony has a transmission or data rate of?
1.544 Mbps
8 Kbps
2.048 Mbps
64 Kbps
In TDM, the transmission rate of the multiplexed path is usually _______ the sum of the transmission rates of the signal sources.
equal to
less than
not related to
greater than
The process of simultaneously transmitting two or more signals over a single communication transmission medium.
Demultiplexing
Multiplexing
Demodulation
Modulation
For this type of multiplexing, the entire link bandwidth is available for each transmitting stations however, each station can only transmit at its assigned time slot.
TDM
WDM
FDM
FHSS
In a multiplexed system, ____ lines share the bandwidth of _____ link.
1; n
n; 1
n; n
1; 1
A T2 line can multiplex how many voice band channels?
120
48
24
96
For this type of multiplexing, the available bandwidth is divided among transmitting stations with sufficient guard band in between them to avoid spectral overlapping. Since each station has its own sub-carrier frequency, simultaneous transmission among stations is possible.
TDM
WDM
FDM
FHSS
How many baseband voice channels does a jumbo group multiplex?
60
3600
12
600
The sharing of a medium and its link by two or more devices is called _____?
Detection
Modulation
Multiplexing
Encoding
Multiplexing is a many-to-one process occurring at the transmitter. An equivalent one-to-many process occur at the receiver and this is referred to as _______
Detection
Modulation
Multiplexing
Demultiplexing
A supergroup has ____ of bandwidth and multiplex ____ voice channels.
320 KHz, 60
540 KHz, 48
240 KHz; 60
240 KHz, 96
The European standard E1 carrier system can multiplex how many voice band channels?
24
12
48
32
A fixed time slots in a frame is referred to as
epoch
frame
guard band
period
The word ______ refers to the portion of a _______ that carries a transmission.
link; link
channel; channel
channel; link
link; channel
A cable TV service uses a single coaxial cable with a bandwidth of 1.20 GHz to transmit multiple TV signals to subscribers. Each TV signal is 6 MHz wide. How many channels can be carried?
123
430
200
143
Assume that a voice channel occupies a bandwidth of 4 kHz. We need to multiplex 10 voice channels with guard bands of 500 Hz using FDM. Calculate the required bandwidth.
44.5 KHz
44.4 KHz
45 KHz
54.4 KHz
Consider a PAM – TDM system with 8 signals plus sync having a frame format of the form as illustrated below. Assume that each signal has a baseband characteristic and is band limited to W = 2 kHz. The sampling rate is to be 30% greater than the theoretical minimum Nyquist rate. (a) Using the 0.5/τ rule where τ represents the pulse width, determine the approximate baseband bandwidth required for the composite PAM signal. (b) If the PAM signal is used to amplitude modulate a high-frequency RF carrier, determine the RF bandwidth required for the resulting high-frequency signal. NOTE: The 0.5/τ rule provides for the minimum bandwidth.
123.75 KHz
46.875 KHz
93.75 KHz
64.8 KHz
Consider a PAM – TDM system with 8 signals plus sync having a frame format of the form as illustrated below. Assume that each signal has a baseband characteristic and is band limited to W = 3 kHz. The sampling rate is to be 20% greater than the theoretical minimum Nyquist rate. (a) Using the 0.5/τ rule where τ represents the pulse width, determine the approximate baseband bandwidth required for the composite PAM signal.
64.8 KHz
159.6 KHz
129.6 KHz
108 KHz
Consider a PAM – TDM system with 8 signals plus sync having a frame format of the form as illustrated below. Assume that each signal has a baseband characteristic and is band limited to W = 2 kHz. The sampling rate is to be 30% greater than the theoretical minimum Nyquist rate. (a) Using the 0.5/τ rule where τ represents the pulse width, determine the approximate baseband bandwidth required for the composite PAM signal.
159.6 KHz
123.75 KHz
46.875KHz
64.8KHz
Consider a PAM – TDM system with 8 signals plus sync having a frame format of the form as illustrated below. Assume that each signal has a baseband characteristic and is band limited to W = 3 kHz. The sampling rate is to be 20% greater than the theoretical minimum Nyquist rate. If the PAM signal is used to frequency modulate a high-frequency RF carrier using 15 KHz deviation, determine the RF bandwidth required for the resulting high-frequency signal. NOTE: The 0.5/τ rule provides for the minimum bandwidth.
129.6 KHz
64.8 KHz
7.2 KHz
159.6 KHz
A PCM-TDM system multiplexes 24 voice-band channels. Each sample is encoded into seven bits, and a framing bit is added to each frame. The sampling rate is 9000 samples per second. Non - return - to zero (NRZ) encoding is the line format. Determine the maximum analog input frequency.
4 000 Hz
9 000 Hz
8 000 Hz
4 500 Hz
A PCM-TDM system multiplexes 20 voice-band channels. Each sample is encoded into eight bits, and a framing bit is added to each frame. The sampling rate is 10,000 samples per second. BPRZ-AMI encoding is the line format. Determine the minimum Nyquist bandwidth.
805 KHz
200 KHz
1.60 MHz
1.61 MHz
A PCM-TDM system multiplexes 20 voice-band channels. Each sample is encoded into eight bits, and a framing bit is added to each frame. The sampling rate is 10,000 samples per second. BPRZ-AMI encoding is the line format. Determine the maximum analog input frequency.
10 KHz
5 KHz
4 KHz
8 KHz
A group of time slots is referred to as
guard band
frame
epoch
period
WDM is a technique to combine:
RF signals
Magnetic signals
Optical signals
Electromagnetic signals
Five data channels (digital), each transmitting at 1 Mbps, use a satellite link of 1.1 MHz. Using Frequency Division Multiplexing with a guard band of 25 KHz required between each channel to prevent interference, what modulation technique is appropriate for this system?
64QAM
Either 32PSK or 32QAM
32QAM
32 PSK
Five data channels(digital), each transmitting at 1.44 Mbps, use a satellite link of 1.3 MHz. Using Frequency Division Multiplexing and a guard band of 25 KHz required between each channel to prevent interference, what modulation technique is appropriate for this system?
128PSK
32QAM
16PSK
64PSK
A PCM-TDM system multiplexes 20 voice-band channels. Each sample is encoded into eight bits, and a framing bit is added to each frame. The sampling rate is 10,000 samples per second. BPRZ-AMI encoding is the line format. Determine the line speed (or transmission rate) in bps.
80 Kbps
160 Mbps
90 Kbps
1.61 Mbps
A PCM-TDM system multiplexes 24 voice-band channels. Each sample is encoded into seven bits, and a framing bit is added to each frame. The sampling rate is 9000 samples per second. Non - return - to zero (NRZ) encoding is the line format. Determine the minimum Nyquist bandwidth.
216 KHz
760.5 KHz
1.521 MHz
9 KHz
A PCM-TDM system multiplexes 24 voice-band channels. Each sample is encoded into seven bits, and a framing bit is added to each frame. The sampling rate is 9000 samples per second. Non - return - to zero (NRZ) encoding is the line format. Determine the line speed in bits per second.
63 Kbps
2.048 Mbps
1.544 Mbps
1.521 Mbps
A mastergroup has ____ of bandwidth and multiplex ____ voice channels.
2.52 MHz, 600
2.54 MHz, 500
2.52 MHz, 500
2.54 MHz, 600
A jumbogroup has ____ of bandwidth and multiplex ____ voice channels.
16.984 MHz, 3700
16.984 MHz, 3600
16.982 MHz, 3700
16.982 MHz, 3600
A group has ____ of bandwidth and multiplex ____ voice channels.
48 KHz, 12
46 KHz, 12
48 KHz, 10
46 KHz, 10
Combines multiple streams into a single stream (many to one)
Multiplexer
Link
Demultiplexer
Channel
Separates the stream back into its component transmission (one to many) and directs them to their correct lines.
Multiplexer
Link
Demultiplexer
Channel
Refers to the physical path
Multiplexer
Link
Demultiplexer
Channel
Refers to the portion of a link that carries a transmission between a given pair of lines.
Multiplexer
Link
Demultiplexer
Channel
Channels can be separated by strips of unused bandwidth, to prevent signals from overlapping
guard bands
frame
epoch
period
The process of taking a group of bits from each input line for multiplexing
Multislot
Interleaving
Multilevel
Pulse Stuffing
used when the data rate of the input links are multiples of each other.
Interleaving
Multislot
Multilevel
Pulse Stuffing
used when there is a GCD between the data rates. The higher bit rate channels are allocated more slots per frame, and the output frame rate is a multiple of each input link.
Multislot
Interleaving
Multilevel
Pulse Stuffing
used when there is no GCD between the links. The slowest speed link will be brought up to the speed of the other links by bit insertion, this is called pulse stuffing.
Interleaving
Multislot
Multilevel
Pulse Stuffing
One application of ___ is the Synchronous Optical Network (SONET) in which multiple optical fiber lines are
multiplexed and demultiplexed.
WDM
FHM
TDM
FHSS
