C=blog(1+s/n)
the channel capacity (information in bits per second) is related to bandwidth and SNR by the relation C= B[log(1+SNR) b/s log is at the base 2 B= bandwidth of a channel C= capacity in bits per second SNR= signal to noise ratio.
A very usefull advantage is the exchange of SNR(signal to noise ratio) with Bandwidth... as on increasing the bandwidth the power required for transmission get reduced to a great extent.. is given by the formula SNR2 ~ (SNR1) B1/B2 AS we can see on increasing the bandwidth the SNR is reduced greatly
Bandwidth is an inherent characteristic of a given transmission channel, or is determined by the narrowest-bandwidth component of the system. The bandwidth of a channel will limit the possible attainable data rates. This is shown simply by Shannon's Theorem, which states C = B log_2 (1+P_signal/P_noise), where C is the channel capacity in bps, B is the channel bandwidth in Hz, P_signal is the power of the detected signal in W, and P_noise is the noise power of the detected signal in W. As an example, consider a standard phone line (i.e., using a dial-up modem). Standard phone lines have a bandwidth of about 3.4 kHz and a signal-to-noise ratio of about 10,000. Using this information, we get C = (3.4 kHz) log_2 (1+10,000) = 45 kbps. Dial-up modems can actually get as high as 56 kbps, but that is beyond the scope of this question. In general Shannon's Theorem can provide a fairly accurate way to predict the possible data rates for a given transmission channel if the bandwidth and resulting signal and noise powers are known.
I m not sure but it should be something like this Shannon capacity(channel capacity) C = B Log2(1+ s/n) C= channel capacity B = bandwidth S/N = signal to noise ratio in power units as the S/n is in db , first we have to convert it. 3db= 10^3/10 = 10^0.3= 1.9926 now putting in the formula C = 300log2(1+ 1.9926) C = 474.81 bps
a differential amplifier helps to increase the CMRR which in turn helps avoid unwanted signals that couple into the input to get propagated. IT also helps to increase the signal to noise ratio. furthermore it provides larger output voltage swings.
the bandwidth and the signal to noise ratio
the channel capacity (information in bits per second) is related to bandwidth and SNR by the relation C= B[log(1+SNR) b/s log is at the base 2 B= bandwidth of a channel C= capacity in bits per second SNR= signal to noise ratio.
110kbps
The data rate (C) is equal to the bandwidth (B) times the logarithm base 2 of 1 plus the signal-to-noise ratio (S/N) (how much interference is introduced in the transmission of data)C = B x log2(1 + S/N)So your data rate is directly proportional to your bandwidth. If you increase your bandwidth, your data rate will also increase provided the signal-to-noise ratio isn't affected.
Signal to noise ratio is a measure of signal strength to the background noise. Engineers use the signal to noise ratio to improve digital signal processing.
Distance, Frequency, and Signal-level-to-noise-level ratio (SNR)
Key features that affect channel capacity include bandwidth, signal-to-noise ratio, and modulation technique. A wider bandwidth allows for more data to be transmitted, while a high signal-to-noise ratio enables better accuracy in data transmission. The modulation technique used can also impact channel capacity by determining how efficiently the available bandwidth is utilized.
It can be calculated by simplifying the ratio between power of signal by power of noise
The Kenwood KDC-C471FM has a Signal-to-noise ratio of 100 dB
The signal-to-noise ratio (SNR) formula in decibels (dB) is calculated as 10 times the logarithm base 10 of the ratio of the signal power to the noise power. The formula is: SNR(dB) 10 log10(signal power / noise power).
A very usefull advantage is the exchange of SNR(signal to noise ratio) with Bandwidth... as on increasing the bandwidth the power required for transmission get reduced to a great extent.. is given by the formula SNR2 ~ (SNR1) B1/B2 AS we can see on increasing the bandwidth the SNR is reduced greatly
According to Shannon's Channel Capacity Equation: R = W*log2(1 + C/N) = W*log2(1+ SNR) Where, R = Maximum Data rate (symbol rate) W = Bw = Nyquist Bandwidth = samples/sec = 1/Ts C = Carrier Power N = Total Noise Power SNR = Signal to Noise Ratio