Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Error analysis and implementation considerations of decoding algorithms for time-encoding machine | Kong et al. EURASIP Journal on Advances in Signal Processing 2011 2011 1 http content 2011 1 1 o EURASIP Journal on Advances in Signal Processing a SpringerOpen Journal RESEARCH Open Access Error analysis and implementation considerations of decoding algorithms for time-encoding machine Xiangming Kong 1 George C Valley2 and Roy Matic1 Abstract Time-encoding circuits operate in an asynchronous mode and thus are very suitable for ultra-wideband applications. However this asynchronous mode leads to nonuniform sampling that requires computationally complex decoding algorithms to recover the input signals. In the encoding and decoding process many nonidealities in circuits and the computing system can affect the final signal recovery. In this article the sources of the distortion are analyzed for proper parameter setting. In the analysis the decoding problem is generalized as a function approximation problem. The characteristics of the bases used in existing algorithms are examined. These bases typically require long time support to reach good frequency property. Long time support not only increases computation complexity but also increases approximation error when the signal is reconstructed through short patches. Hence a new approximation basis the Gaussian basis which is more compact both in time and frequency domain is proposed. The reconstruction results from different bases under different parameter settings are compared. Keywords Time encoding sampling reconstruction function approximation Introduction Time encoding is an asynchronous process for mapping the amplitude information of a band-limited signal x t into a sequence of strictly increasing time points tk . Well-known nonlinear asynchronous analog circuits can be used to build a time-encoding machine TEM . For example the TEM shown in Figure 1 consists of an input transconductance amplifier a feedback 1-bit DAC an integrator and a hysteresis quantizer. The output of such a TEM is a .
