👉 Wi-Fi math involves the principles of signal propagation, channel capacity, and interference management to optimize wireless network performance. It starts with understanding the Shannon-Hartley theorem, which defines the maximum data rate (channel capacity) for a communication channel given by \( C = B \log_2(1 + \frac{S}{N}) \), where \( C \) is the capacity in bits per second, \( B \) is the bandwidth in Hz, and \( \frac{S}{N} \) is the signal-to-noise ratio (SNR). In Wi-Fi, this translates to calculating how much data can be transmitted reliably over a given frequency band (e.g., 2.4 GHz or 5 GHz) while minimizing interference from other signals. Techniques like OFDM (Orthogonal Frequency-Division Multiplexing) and MIMO (Multiple Input Multiple Output) are used to enhance capacity and reduce errors by efficiently utilizing the available spectrum and space.
