Binary Coherent FSK and PSK

Binary Coherent FSK (Frequency Shift Keying) and PSK (Phase Shift Keying) are two types of digital modulation techniques used in communication systems. In FSK, the frequency of the carrier signal is modulated to represent digital data, while in PSK, the phase of the carrier signal is modulated.

Probability of Error

The probability of error is the likelihood that the received signal will be different from the transmitted signal due to noise and other factors in the communication channel. It is an important measure of the performance of a communication system.

Inferiority of Binary Coherent FSK

At a given probability of error, binary coherent FSK is inferior to binary coherent PSK. This means that FSK requires more power to achieve the same level of error performance as PSK. This is due to the nature of FSK modulation, where a change in the frequency of the carrier signal results in a larger change in the signal amplitude compared to a change in the phase of the carrier signal in PSK modulation.

dB Difference

The difference in power required for FSK and PSK modulation at a given probability of error is measured in decibels (dB). The correct answer to the question is that binary coherent FSK is inferior to binary coherent PSK by 3 dB. This means that FSK requires twice as much power as PSK to achieve the same level of error performance.

Conclusion

In summary, binary coherent FSK and PSK are two types of digital modulation techniques used in communication systems. At a given probability of error, FSK is inferior to PSK, requiring more power to achieve the same level of error performance. This difference is measured in decibels, and FSK is inferior to PSK by 3 dB.

3dB