Analytical Expressions Used in BER Analysis

The analytical expressions derived for theoretical BER analysis vary based on communications system design constraints and assumptions. Separate sets of expressions are derived and used for AWGN or fading channels, coding, and synchronization. Upper or lower limit bounds or approximations are required to analyze the BER for a specified coding type, decoding decision, code rate, distance spectrum of the code, or synchronization imperfection.

For the analytical expressions used in error rate analysis, see:

• Analytical Expressions Used in berawgn Function and Bit Error Rate Analysis App — Derivation of BER and SER in an AWGN channel for uncoded data using various modulation schemes.

• Analytical Expressions Used in berfading Function and Bit Error Rate Analysis App — Derivation of BER and SER over a Rayleigh or Rician fading channel for uncoded data using a specified modulation scheme.

• Analytical Expressions Used in bercoding Function and Bit Error Rate Analysis App — Derivation of upper bound or approximation of the bit error rate (BER) for coherent BPSK or QPSK modulation over an additive white Gaussian noise (AWGN) channel for a specified coding type, decoding decision, code rate, and distance spectrum of the code.

• Analytical Expressions Used in bersync Function and Bit Error Rate Analysis App — Derivation of uncoded coherent BPSK over an additive white Gaussian noise (AWGN) channel for imperfect synchronization.