An NFSK receiver must be designed with additional bandwidth for the input filters to accommodate frequency uncertainty

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An NFSK receiver must be designed with additional bandwidth for the input filters to accommodate frequency uncertainty of the received signal (due to Doppler shift, for example). 

(a) Justify that the resultant probability of error with frequency uncertainty is Ą? РЕ. JаЛ E, |Af| 21+ |Af|/B , exp 2N, Br

(b) Plot PE, |Δf| versus z in dB for |Δf| / BT = 0, 0.1, 0.2, 0.3, 0.4. Estimate the degradation in dB at a probability of error of 10-6.

(c) Give the mathematical expression for the degradation and compare it with the results estimated in part (b).

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