Assume a discrete signal of 8 voltage levels has been transmitted through a noisy channel with...
Assume a discrete signal of 8 voltage levels has been transmitted through a noisy channel with bandwidth of 3500 Hz. The SNR is 2500 Watts and the power of the noise is 2 Watts.
A. What is the power of the signal?
B. What should be the minimum sampling rate?
C. What is the capacity of this channel?
Homework Answers
given SNR = 2500
and noise power = 2W
SNR = signal power / Noise power
2500 = signal power / 2W
signal power = 5000W = 5 KW
In order not to have spectral aliasing of the discrete signal, you need to have a sampling rate that is 2 times the bandwidth. So the relationship is simple F = 2B
so the minimum sampling frequency is 2*3500 = 7000hz =
7KHZ
Reference
https://www.physicsforums.com/threads/relation-between-bandwidth-and-ssamplig-rate.645585/
By Shannon
Add Answer to:
Assume a discrete signal of 8 voltage levels has been
transmitted through a noisy channel with...
An SSB modulated signal is transmitted over a noisy channel, having a spectral density of N0/2...
An SSB modulated signal is transmitted over a noisy channel, having a spectral density of N0/2 of 2*10-9 W/Hz. The message bandwidth is 4kHz and the carrier frequency is 200 kHz. Assume that the average received power of the signal is -80 dBm. Determine the post-detection SNR of the receiver.
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
The information in an analog signal voltage waveform is to be transmitted over a PCM system...
The information in an analog signal voltage waveform is to be
transmitted over a PCM system with an accuracy of 0.1 % full scale
accuracy . The analog voltage waveform has a bandwidth of 100 Hz
and an amplitude range of-10 to10 Volts. (a) Determine the minimum
sampling rate required (b) Determine the number of bits in each PCM
word. (c) Determine the minimum bit rate required in the PCM
system. (d) Determine the minimum absolute channel bandwidth
required for...
A radio channel has a bandwidth of 7MHz, and transmitted signal power equal to the noise...
A radio channel has a bandwidth of 7MHz, and transmitted signal power equal to the noise power. Calculate the capacity of the channel
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandw...
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandwidth 5 kHz, the receiver output SNR is required to be at least 47 dB. The receiver is as shown in Fig. 8.30. (a) What must be the signal power Si received at the receiver input? (b) What is the receiver output noise power No? (c) What is the minimum transmitted power Sr if the channel transfer function is He)10-3 over...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
3. The quality of a received signal is often characterized by the signal-to-noise-ratio (SNR), which is...
3. The quality of a received signal is often characterized by the signal-to-noise-ratio (SNR), which is defined as SNR 10 log As you might expect from this Signal power in watts KTB definition, the unit of SNR is decibels (dB). The term in the denominator is the noise power, and it is generally specified as an effective noise temperature T multiplied by the product of Boltzmann's constant (K) and the bandwidth (B) of the signal in Hz. Generally we like...
An 8-ary PSK (phase shift keying) signal is transmitted over an additive, zero mean, band-limited Gaussian noise channe...
An 8-ary PSK (phase shift keying) signal is transmitted over an additive, zero mean, band-limited Gaussian noise channel.The channel output is r(t)-s(t)+n(t), st<T, where s(tAcos 2rft+0) for ie 10,123,4,5,6,7) were,+8 16 8 The noise n(t) is narrowband, zero mean, bandpass Gaussian noise with power spectral density Sn (f) is shown in Figure 3, where B is the bandwidth of the noise S, (f) (Watts/Hz) 2 cf (Hz) Figure 3 T herefore, 2 2 2 0 elsewhere (i) What is the...
Consider a point-to-point channel. Assume the bandwidth of the channel is 5 MHz and the signal-to-noise...
Consider a point-to-point channel. Assume the bandwidth of the channel is 5 MHz and the signal-to-noise ratio of this channel is 24 dB. a) What is the capacity of this channel? b) How many signal levels are required to achieve the above maximum transmission rate?
If a binary signal is transmitted through a 4kHz noiseless channel, what is the maximum data...
If a binary signal is transmitted through a 4kHz noiseless channel, what is the maximum data rate? If the SNR of the channel is 20dB, what is the maximum data rate?
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
The information in an analog signal voltage waveform is to be
transmitted over a PCM system with an accuracy of 0.1 % full scale
accuracy . The analog voltage waveform has a bandwidth of 100 Hz
and an amplitude range of-10 to10 Volts. (a) Determine the minimum
sampling rate required (b) Determine the number of bits in each PCM
word. (c) Determine the minimum bit rate required in the PCM
system. (d) Determine the minimum absolute channel bandwidth
required for...
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandwidth 5 kHz, the receiver output SNR is required to be at least 47 dB. The receiver is as shown in Fig. 8.30. (a) What must be the signal power Si received at the receiver input? (b) What is the receiver output noise power No? (c) What is the minimum transmitted power Sr if the channel transfer function is He)10-3 over...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
3. The quality of a received signal is often characterized by the signal-to-noise-ratio (SNR), which is defined as SNR 10 log As you might expect from this Signal power in watts KTB definition, the unit of SNR is decibels (dB). The term in the denominator is the noise power, and it is generally specified as an effective noise temperature T multiplied by the product of Boltzmann's constant (K) and the bandwidth (B) of the signal in Hz. Generally we like...
An 8-ary PSK (phase shift keying) signal is transmitted over an additive, zero mean, band-limited Gaussian noise channel.The channel output is r(t)-s(t)+n(t), st<T, where s(tAcos 2rft+0) for ie 10,123,4,5,6,7) were,+8 16 8 The noise n(t) is narrowband, zero mean, bandpass Gaussian noise with power spectral density Sn (f) is shown in Figure 3, where B is the bandwidth of the noise S, (f) (Watts/Hz) 2 cf (Hz) Figure 3 T herefore, 2 2 2 0 elsewhere (i) What is the...
Most questions answered within 3 hours.
-
On the Apollo 14 mission to the moon, astronaut Alan Shepard hit
a golf ball with...
asked 1 minute from now -
Six years of quarterly data of a seasonally adjusted series are
used to estimate a linear...
asked 33 seconds from now -
Which of the following is not an ecological model used
to foster behavior change?
PRECEDE-PROCEED Model...
asked 2 minutes ago -
What are John’s potential claims if he is terminated
this week?
John is a 54-year-old man...
asked 12 minutes ago -
A (8.5) cm tall object is placed at a distance of (14.2) cm from
a convex...
asked 20 minutes ago -
(2) For the following questions, consider a data set that
exhibits a normal distribution. Report the...
asked 21 minutes ago -
What exactly is an information system? How does it work" What
are its people organization,
...
asked 23 minutes ago -
The Food Marketing Institute shows that 17% of households spend
more than $100 per week on...
asked 32 minutes ago -
Go to NCBI BLAST search web page
1st search: GEKDLRRAKDINQEVYNF
2nd search: PTSQRLQLLEPFDK
3rd search: GEKDLRRAKDINQEVYNF...
asked 36 minutes ago -
Explain how each of the following three conditions could be a
red flag for a register...
asked 41 minutes ago -
In a two-way factorial ANOVA, the final F-ratio for
factor AxB is determined by dividing _____...
asked 1 hour ago -
Show your solutions for answer.
4. An aqueous solution contains 9.21 g of
K4Fe(CN)6 in a...
asked 41 minutes ago