Question: The value of the input SNR at threshold is often defined as the value of P T / N 0 W at which the denominator

The value of the input SNR at threshold is often defined as the value of P_T / N₀W at which the denominator of (8.172) is equal to 2. Note that this value yields a post detection SNR, (SNR)_D, that is 3 dB below the value of (SNR)_D predicted by the above threshold (linear) analysis. Using this definition of threshold, plot the threshold value of P_T / N₀W (in decibels) as a function of β. What do you conclude?

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