2.→In communications theory, the signal-to-noise ratio (SNR) is defined as the ratio of the power of a signal (meaningful information) to the power of the background noise, that is,.. Psignal SNR = ··.·The SNR is usually measured in decibels. In the case of a cable modem, it is↓ P noise a measure of the signal strength to and from the modem relative to the background noise. The ideal SNR range is 30 to 50 decibels (dB). High noise or low signal power levels reduce the SNR and can negatively affect internet connectivity, resulting in data loss or slow speeds.↓ ↓ Home cable modems have a web interface at an internal LAN address such as 192.168.100.1 which gives the status of various modem parameters. For example, part of the status page of a modem at a given moment (a snapshot) is shown below.↓ a) For Channel 12 in the table, the SNR is given in decibels. What is actual signal to noise power ratio?↓ b) For the same channel, assume that the resistances R, and Ro are equal. Then the voltage gain of the received signal is given in absolute decibel units. What is the actual voltage-being. received by the modem in microvolts? (See the slides). Downstream Bonded Channels Channel Lock Status Modulation Channel ID Freq. (MHz) Pwr (dBmV) SNR (dB) Corrected Uncorrected 1 Locked QAM256 13 615.0 -2.9 37.8 0 0 2 Locked QAM256 9 591.0 -2.5 38.4 0 0 3 Locked QAM256 10 597.0 -2.5 38.4 0 0 4 Locked QAM256 11 603.0 -2.5 38.3 0 0 5 Locked QAM256 12 609.0 -2.6 38.2 0 0 6 Locked QAM256 14 621.0 -3.3 37.5 1 0 7 Locked QAM256 15 627.0 -3.3 37.4 0 0 8 Locked QAM256 16 633.0 -3.1 37.5 0 0 9 Locked QAM256 17 639.0 -3.1 37.5 0 0 10 Locked QAM256 18 645.0 -3.3 37.4 0 0 11 Locked QAM256 19 651.0 -3.4 37.4 0 0 12 Locked QAM256 20 657.0 -3.5 37.4 0 0 13 Locked QAM256 21 663.0 -3.7 37.3 0 0 14 Locked QAM256 15 Locked QAM256 16 Locked QAM256 222 22 669.0 -3.9 37.2 0 0 23 675.0 -4.0 36.6 0 0 24 681.0 -4.1 37.1 0 0 Total 1 0

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2.→In communications theory, the signal-to-noise ratio (SNR) is defined as the ratio of the power
of a signal (meaningful information) to the power of the background noise, that is,..
Psignal
SNR = ··.·The SNR is usually measured in decibels. In the case of a cable modem, it is↓
P noise
a measure of the signal strength to and from the modem relative to the background noise. The
ideal SNR range is 30 to 50 decibels (dB). High noise or low signal power levels reduce the
SNR and can negatively affect internet connectivity, resulting in data loss or slow speeds.↓
↓
Home cable modems have a web interface at an internal LAN address such as 192.168.100.1
which gives the status of various modem parameters. For example, part of the status page of
a modem at a given moment (a snapshot) is shown below.↓
a) For Channel 12 in the table, the SNR is given in decibels. What is actual signal to noise
power ratio?↓
b) For the same channel, assume that the resistances R, and Ro are equal. Then the voltage
gain of the received signal is given in absolute decibel units. What is the actual voltage-being.
received by the modem in microvolts? (See the slides).
Transcribed Image Text:2.→In communications theory, the signal-to-noise ratio (SNR) is defined as the ratio of the power of a signal (meaningful information) to the power of the background noise, that is,.. Psignal SNR = ··.·The SNR is usually measured in decibels. In the case of a cable modem, it is↓ P noise a measure of the signal strength to and from the modem relative to the background noise. The ideal SNR range is 30 to 50 decibels (dB). High noise or low signal power levels reduce the SNR and can negatively affect internet connectivity, resulting in data loss or slow speeds.↓ ↓ Home cable modems have a web interface at an internal LAN address such as 192.168.100.1 which gives the status of various modem parameters. For example, part of the status page of a modem at a given moment (a snapshot) is shown below.↓ a) For Channel 12 in the table, the SNR is given in decibels. What is actual signal to noise power ratio?↓ b) For the same channel, assume that the resistances R, and Ro are equal. Then the voltage gain of the received signal is given in absolute decibel units. What is the actual voltage-being. received by the modem in microvolts? (See the slides).
Downstream Bonded Channels
Channel Lock Status
Modulation
Channel ID
Freq. (MHz)
Pwr (dBmV)
SNR (dB)
Corrected Uncorrected
1
Locked
QAM256
13
615.0
-2.9
37.8
0
0
2
Locked
QAM256
9
591.0
-2.5
38.4
0
0
3
Locked
QAM256
10
597.0
-2.5
38.4
0
0
4
Locked
QAM256
11
603.0
-2.5
38.3
0
0
5
Locked
QAM256
12
609.0
-2.6
38.2
0
0
6
Locked
QAM256
14
621.0
-3.3
37.5
1
0
7
Locked
QAM256
15
627.0
-3.3
37.4
0
0
8
Locked
QAM256
16
633.0
-3.1
37.5
0
0
9
Locked
QAM256
17
639.0
-3.1
37.5
0
0
10
Locked
QAM256
18
645.0
-3.3
37.4
0
0
11
Locked
QAM256
19
651.0
-3.4
37.4
0
0
12
Locked
QAM256
20
657.0
-3.5
37.4
0
0
13
Locked
QAM256
21
663.0
-3.7
37.3
0
0
14
Locked
QAM256
15
Locked
QAM256
16
Locked
QAM256
222
22
669.0
-3.9
37.2
0
0
23
675.0
-4.0
36.6
0
0
24
681.0
-4.1
37.1
0
0
Total
1
0
Transcribed Image Text:Downstream Bonded Channels Channel Lock Status Modulation Channel ID Freq. (MHz) Pwr (dBmV) SNR (dB) Corrected Uncorrected 1 Locked QAM256 13 615.0 -2.9 37.8 0 0 2 Locked QAM256 9 591.0 -2.5 38.4 0 0 3 Locked QAM256 10 597.0 -2.5 38.4 0 0 4 Locked QAM256 11 603.0 -2.5 38.3 0 0 5 Locked QAM256 12 609.0 -2.6 38.2 0 0 6 Locked QAM256 14 621.0 -3.3 37.5 1 0 7 Locked QAM256 15 627.0 -3.3 37.4 0 0 8 Locked QAM256 16 633.0 -3.1 37.5 0 0 9 Locked QAM256 17 639.0 -3.1 37.5 0 0 10 Locked QAM256 18 645.0 -3.3 37.4 0 0 11 Locked QAM256 19 651.0 -3.4 37.4 0 0 12 Locked QAM256 20 657.0 -3.5 37.4 0 0 13 Locked QAM256 21 663.0 -3.7 37.3 0 0 14 Locked QAM256 15 Locked QAM256 16 Locked QAM256 222 22 669.0 -3.9 37.2 0 0 23 675.0 -4.0 36.6 0 0 24 681.0 -4.1 37.1 0 0 Total 1 0
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