Title : 
The Structure and Performance of an Optimal Continuous-Time Detector for Laplace Noise
         
        
            Author : 
Beaulieu, Norman C. ; Bartoli, G. ; Marabissi, D. ; Fantacci, R.
         
        
            Author_Institution : 
Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada
         
        
        
        
        
        
        
        
            Abstract : 
An optimal detector for a known signal in Laplace noise is determined. The analysis starts with a sampled digital receiver, leading to an asymptotic analysis when the number of samples approaches infinity. The optimum detector for Laplace noise achieves twice the signal-to-noise ratio of the matched filter for Gaussian noise. The theoretical analysis is corroborated by computer simulations.
         
        
            Keywords : 
Gaussian noise; matched filters; signal detection; signal sampling; Gaussian noise; Laplace noise; asymptotic analysis; matched filter; optimal continuous-time signal detector; sampled digital receiver; signal-to-noise ratio; Detectors; Error probability; Gaussian noise; Random variables; Receivers; Shape; Impulsive noise; Laplace noise; matched filter; optimum receiver;
         
        
        
            Journal_Title : 
Communications Letters, IEEE
         
        
        
        
        
            DOI : 
10.1109/LCOMM.2013.042313.130164