Inner Product Determining in Spread Spectrum Signals Representation and Detection

The given work is devoted for developing based on a reproducing kernel Hilbert space (RKHS) methodics to the rigged Hilbert space (RHS) obtained from a Hilbert space over Hilbert Space (HSOHS). Are obtained an analog to digital conversion (ADC) of a signal with the spectrum spreaded in the wide band representation and accuracy inner product. Furthermore, we apply this technique in the problem of the spread spectrum signal (SSS) detection and provide a computationally feasible optimum detector.