6533b862fe1ef96bd12c6b2c
RESEARCH PRODUCT
A study on spectral optimisation in partial response CPM signals
Matteo CampanellaEdoardo RandazzoGiovanni MamolaG. Garbosubject
Euclidean distanceIterative methodDifferential equationLimit valuePartial responseBandwidth (signal processing)Modulation indexApplied mathematicsBoundary value problemElectrical and Electronic EngineeringAlgorithmMathematicsdescription
An optimisation technique for the minimisation of the effective bandwidth in partial response CPM signals is described. The minimum Euclidean distance is used as optimisation constraint because the bit error probability is a function of this parameter for high values of signal to noise ratio. The procedure has been implemented for a correlation length corresponding to two signalling intervals. The optimisation problem leads to a system of two nonlinear differential equations for the pulse shape, together with some boundary conditions. Numerical solution of the differential equations has been performed; initial conditions have been adjusted, to satisfy the boundary conditions using an iteration method based on the Newton-Raphson algorithm. The whole procedure is based on a particular assumption about the minimising difference sequence for the minimum Euclidean distance. This assumption has been tested and the limit value of the modulation index satisfying the test is also reported.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-03-01 | European Transactions on Telecommunications |