Understand and apply analytical and semi-analytical methods for the performance evaluation of optical communication systems under non-Gaussian distributed noise impairments such as linear and non-linear phase noise, linear and non-linear crosstalk. En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:

• derive analytical expressions for the statistics of the decision variable for an optical communication system under Gaussian distributed noise impairments based on moment generating functions
• Derive analytical expressions for the statistics of the decision variable for an optical communication system under non-Gaussian distributed noise impairments based on moment generating functions
• Apply analytical expressions for the computations of bit-error using saddle point approximations
• Apply analytical expressions for the computations of bit-error rate using modified Chernov bounds
• apply semi-analytical methods to the performance analysis of a communication system using conditional moment generating functions
• analyze the results given by the saddle point approximation and Chernov bounds with respect to realistic measurements
• understand the relation between the predictions of the analytical and semi-analytical methods and the noise impairments in practical communication physical layer implementations
• knowledge of implementations of analytical and numerical methods to compute saddle point approximation based error probabilities

The main topics are:
- revision of the basis of optical communication systems with emphasis on optical phase modulated systems
- semi-classical interpretation of optical detection
- optical phase detection schemes
- linear phase noise and Brownian motion
- moment generation function theory
- derivation of moment generation function for Poisson, Gaussian variables and its relation to decision variable of optical communication receivers
- Karhunen-Loeve expansion for optical systems under optical Gaussian noise impairments
- the saddle point approximation
- use of the saddlet point approximation of computation of bit-error rates
- Chernov bound approach for the computation of bit-error rates
- analytical and semi-analytical method for saddle point and Chernov bound bit-error rate computations
- case studies based on specific The course is conducted as a reading and discussion meeting with the teachers. Assignments will be handed out to each student and discussed every course meeting. The assignments will be based on the books:
Principles of lightwave communications by G. Einarsson and
Phase-Modulated Optical Communication Systems by Keang-Po Ho. The assignments will be chosen according to students' needs and interests. 02. august, 2016