Optimum waveforms for asynchronous sampling detection
Abstract
The paper determines the optimum waveform for an asynchronous sampling signal detection system (to be used in an asynchronous multiplex communication system for data acquisition) and calculates the power loss as compared with an optimum incoherent orthogonal signal detection system. The optimum waveform is first defined as the waveform for which the error energy is minimized for a square wave in the interval in which the amplitude of the latter is nonzero. It is shown that the frequency spectrum of this optimum waveform satisfies the Fredholm integral equation of the second kind. The optimum waveform is then redefined by modifying the evaluation function so as to minimize the residual response energy. It is shown that in the limiting case of infinite bandwidth, both waveforms prove to be square waves.
 Publication:

Electronics Communications of Japan
 Pub Date:
 September 1975
 Bibcode:
 1975JElCo..58R...1T
 Keywords:

 Data Acquisition;
 Data Sampling;
 Multichannel Communication;
 Orthogonal Multiplexing Theory;
 Signal Detection;
 Waveforms;
 Bandwidth;
 Multiplexing;
 Optimization;
 Spectrum Analysis;
 Square Waves;
 Systems Engineering;
 Timing Devices;
 Communications and Radar