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This paper presents a novel indoor navigation technique using acoustic sensors, with emphasis on performance modeling and the system layout. Acoustic transmitters are arranged at known fixed locations and broadcast their respective signals following a Time Division Multiple Access (TDMA) scheme. The receiver position is calculated based on Time of Arrival (TOA) based ranging measurements from a minimum of four transmitters. The transmitters are arranged optimally to minimize Position Dilution of Precision (PDOP) as well as maximizing sensor availability. The proposed technique can provide accurate navigation observables in indoor environments, where conventional satellite-based navigation systems cannot deliver the required Position, Velocity, and Time (PVT) data. Additionally, being based on acoustic signals, it is immune to signal-in-space electromagnetic interferences. The TDMA based acoustic navigation system is described, with potential errors in ranging due to Doppler effect, multipath, atmospheric propagation, and signal delays. The error in positioning due to platform dynamics is also discussed. This analysis will lead to an optimized arrangement of transmitters supporting the future ground and flight experimental activities.