How do you calculate channel capacity?
Hence, the channel capacity is directly proportional to the power of the signal, as SNR = (Power of signal) / (power of noise). So for example a signal-to-noise ratio of 1000 is commonly expressed as: 10 * log10(1000) = 30 dB. This tells us the best capacities that real channels can have.
Why is channel capacity calculated?
The channel capacity, C, is defined to be the maximum rate at which information can be transmitted through a channel. The fundamental theorem of information theory says that at any rate below channel capacity, an error control code can be designed whose probability of error is arbitrarily small.
What is Shannon equation for channel capacity explain briefly?
At a SNR of 0 dB (Signal power = Noise power) the Capacity in bits/s is equal to the bandwidth in hertz. If the SNR is 20 dB, and the bandwidth available is 4 kHz, which is appropriate for telephone communications, then C = 4000 log2(1 + 100) = 4000 log2 (101) = 26.63 kbit/s.
What is the difference between QPSK and BPSK?
As mentioned above in the table, BPSK represents binary input 1 and 0 w.r.t. change in carrier phase by 180 degree. While QPSK represents two bits using complex carrier symbol each having 90 degree shift with one another.
Which is better BPSK or QPSK?
With BPSK, higher distance coverage can be achieved from the base station cellular cell or fixed station to the mobile subscribers compare to QPSK. QPSK has advantages of having double data rate compare to BPSK. This is due to support of two bits per carrier in QPSK compare to one bit per carrier in the case of BPSK.
What is the bandwidth of BPSK?
ωc T 2 sinc2ω ωc T 2 Definition of Bandwidth 1. Null-to-Null2 andwidth (in Hz) of main lobe (2 Tfor BPSK). 2. 99% containment bandwidth bandwith such that1 2% lies above upper bandlimit1 2% lies below lower level.
What is a correlation receiver in BPSK?
γdecs This is called the “Correlation Receiver.” Note that synchronization to the symbol timing and oscillator phase are required. VI-17 Effect of Filtering and Nonlinear Amplification on a BPSK waveform In this section we illustrate one main drawback to BPSK.
What is the output of LPF in BPSK?
The low pass filter (LPF) is a filter “matched” to the baseband signal being transmitted. For BPSK this is just a rectangular pulse of duration T. The impulse response is h t pTt ” The output of the low pass filter is X t
How to reduce the error probability of BPSK signal?
The error probability can only be made smaller (for fixed energy per bit) by allowing more than two waveforms for transmitting information. VI-2 BPSK Modulator b t 2Pcos 2πfct Modulator s t n t r t Figure 33: Modulator for BPSK To mathematically described the transmitted signal we define a pulse function pT t as pT t 1 0 t T 0 otherwise. t 1 pT