What is the formula for calculating the net acoustic gain (NAG) of an audio system?

The formula for calculating the net acoustic gain (NAG) of an audio system accurately reflects the relationships between various key parameters. In this case, the formula states that NAG is equal to the power acoustic gain (PAG) minus the reduction in gain due to system losses, expressed as 10 times the logarithm of the nominal output of the system (NOM), and then subtracting the final stage margin (FSM).

The rationale behind this is that NAG accounts for the system's overall effectiveness in delivering sound, taking into consideration the losses that occur within the system. The PAG represents the initial gain from the audio input, while the terms involving NOM and FSM quantify the losses based on the characteristics of the system and any resistive elements that would diminish the output.

This approach to calculating NAG is essential for audio system designers as they need to ensure that the system can effectively overcome any losses and maintain desired audio quality and intelligibility in various environments.