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Make sure you use the proper conditions for each situation. For peak power limited systems the ranking above is correct. For average power limited systems ASK and FSK have the same error rate for the same transmitter average power.
ASK: In ASk you have to use different amplitudes so there is a higher consumption of power and it is more prone to noise.
FSK: In fsk there are different frequencies used so more bandwidth is required.FSK is a better option as far as noise rejection is concerned.
IT is less prone to noise.
PSK: I think PSK is the best option because in a fixed bandwidth we can obtain many formats by changin the phase by small amounts.
also psk is very less prone to noise.
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