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C = 2*B*log2(M)

where C --> capacity

B --> bandwidth

M --> # of discrete signals

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What does nyquist theorem have to do with communications?

The Nyquist theorem defines the maximum bit rate of a noiseless channel.


How data rate affect channel capacity?

due to more data there will be more channels and having more information will take more time on a channel this why there will be more channel capacity


Is the Nyquist theorem true for optical fiber or only for copper wire?

The Nyquist theorem is a property of mathematics and has nothing to do with technology. It says that if you have a function whose Fourier spectrum does not contain any sines or cosines above f, then by sampling the function at a frequency of 2fyou capture all the information there is. Thus, the Nyquist theorem is true for all media.


Using Nyquists theorem calculate the channel capacity C of a signal that has 16 differeret levels and a frequency of 20000 Hz?

Nyquist has shown that C=2 B log2 (M) [bps] C: Capacity B: Bandwidth M: Signaling Levels log2 (x)= [ log10 (x) / log10 (2) ] So We assume F1=0Hz F2=20kHz so B= F2-F1=20000 Hz C = 2*20000* log2 (16) = 2*20000* log10 (16) / log10 (2) = 160 000 bps


Is the Nyquist theorem true for high-quality single-mode optical fiber or only for copper wire?

The Nyquist theorem is a property of mathematics and has nothing to do with technology. It says that if you have a function whose Fourier spectrum does not contain any sines or cosines above f, then by sampling the function at a frequency of 2f you capture all the information there is. Thus, the Nyquist theorem is true for all media.

Related Questions

Which channel defines nyquist bit rate formula?

computer networking


What does nyquist theorem have to do with communications?

The Nyquist theorem defines the maximum bit rate of a noiseless channel.


What is The capacity of a communication channel?

The transmission capacity is based on a formula describing the power between a transmitter and a receiver. The ratio of these two numbers and the formula describes the capacity of the channel.


What is The transmission capacity of a communications channel?

The transmission capacity is based on a formula describing the power between a transmitter and a receiver. The ratio of these two numbers and the formula describes the capacity of the channel.


What is an ideal nyquist channel?

An ideal Nyquist channel is a theoretical communication channel characterized by a flat frequency response and no intersymbol interference (ISI), allowing for the maximum data transmission rate without distortion. It operates under the Nyquist criterion, which states that the maximum data rate is twice the bandwidth of the channel. This means that for a channel with bandwidth ( B ), the highest achievable bit rate is ( 2B ) bits per second. In practice, achieving an ideal Nyquist channel is challenging due to real-world factors like noise and channel imperfections.


What is Maximum data rate of binary signals on a noiseless 3khz channel is?

Nyquist theorem for noiseless channel C= 2Blog22n. C= channel capacity in bps B= bandwidth in KHz 1 KHz= 1000 Hz C= 2*3*1000*log22. =6000 * log2 2. =6000 =6000 bps ..................................... Anu Chawla


What is the difference between nyquist and shannon limit?

nyquist limit is for noiseless channel and given by 2Hlog2V where V are the discrete levels and H is the Bandwidth while, shanon limit is for channel with noise and given by H log2(1+S/N) where S is the signal power and N is the noise power.


Relation between channel capacity and bandwidth?

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


When was Kari Nyquist born?

Kari Nyquist was born in 1918.


How tall is Ryan Nyquist?

Ryan Nyquist is 5' 6".


How many signal levels are required when the bandwidth is 2MHz and signal to noise ratio is 8 dB?

Use Nyquist and Shannon Heartly theorem to solve this Nyquist theorem says that Channel Capacity C = 2 * Bandwidth * log2 (Number of Signal levels) Shannon Heartly theorem says that Channel Capacity C = Bandwidth * log2( 1 + SNR) Important points to consider while solving Bandwidth is expressed in Hz SNR is expressed in dB it must be converted using dB value = 10 log10(SNR) (10 dB = 10, 20 dB = 100, 30 dB = 1000 etc..)


What is Harry Nyquist's birthday?

Harry Nyquist was born on February 7, 1889.