Channel Capacity of Pulse Position Modulation (PPM)

Under no-background-noise conditions, we can determine the channel capacity of Pulse Position Modulation (PPM) through specific computational methods. PPM is a digital communication technique that transmits information by varying the position of pulses within fixed time intervals. When calculating channel capacity, key factors include channel bandwidth, noise power characteristics, and modulation scheme parameters. For code implementation, one might use MATLAB or Python to model the capacity calculation using Shannon's formula adaptations for PPM, where the signal-to-noise ratio (SNR) approaches infinity in noise-free scenarios. The algorithm typically involves computing the maximum mutual information between input symbols and output signals, considering PPM's orthogonal pulse characteristics. Through numerical analysis and simulation of these parameters, we can derive reliable channel capacity values, which facilitates the design and optimization of PPM systems in ideal noise-free environments. Implementation often includes functions for calculating symbol duration, pulse energy distribution, and probability transition matrices to validate theoretical capacity bounds.