Discrete Fourier Transform of the signals recovered by using high-performance Event Timers

Signal Transmission and Representation Based on High Performance Event Timing

“…Actually this assumption is wrong. Investigations described in (Sudars et al, 2016;Bilinskis et al, 2016) show that these approximation errors do not represent the true reason for worsening the Fourier coefficients a i , b i estimation by using the rectangular ) ,…”

“…It has been discussed before, for example, in papers (Sudars et al, 2016;Bilinskis et al, 2016). This paper is focused on development of computationally and energy efficient approach to exploiting Discrete Fourier Transform (DFT) for obtaining representative signal parameter estimates.…”

“…In result of studies related to this problem (Sudars et al, 2016;Bilinskis et al, 2016) an approach to resolution of it has been developed. Description of it, used for avoiding this particular disadvantage of using the rectangular basis functions, follows.…”

“…That is explained in (Sudars et al, 2015). Various aspects of using picosecond resolution event timing at data acquisition and transmission over optical lines are described and discussed in Sudars et al, 2016;Bilinskis et al, 2016).…”

“…Specifics of such signal transmission and representing them in the Time and Frequency domains are considered in Section 2 and Section 3, respectively. The topic of this paper is related to the work discussed in Sudars et al, 2016;Bilinskis et al, 2016) and it is focused on research and development of innovative approaches to Fourier coefficient estimating with significantly improved precision and applicability in a widened frequency range. Specifically, application of input signal heterodyning is described in Section 4 and the proposed method for reducing noise at DFT by using different rates at sampling the input signals and the rectangular basis functions is discussed in Section 5.…”