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Analytical Expressions Used in bersync Function and Bit Error Rate Analysis App

This section covers the main analytical expressions used in the bersync function and the Bit Error Rate Analysis app.

Timing Synchronization Error

To compute the BER for a communications system with a timing synchronization error, the bersync function uses this formula from [13]:

14πσexp(ξ22σ2)2R(12|ξ|)exp(x22)dxdξ+122π2Rexp(x22)dx

where σ is the timing error, and R is the linear Eb/N0 value.

Carrier Synchronization Error

To compute the BER for a communications system with a carrier synchronization error, the bersync function uses this formula from [13]:

1πσ0exp(ϕ22σ2)2Rcosϕexp(y22)dydϕ

where σ is the phase error R is the linear Eb/N0 value.

See Also

Apps

Functions

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