Pulse width influence in fast frequency measurements using rational approximations

Effect of phase in fast frequency measurements for sensors embedded in robotic systems

“…Prior to signal comparison, both signals are discretized; later the pulse width (t) is adjusted t d < t < T 0 , where t d corresponds to the minimum detectable time allowed by the circuits implementing the principle of rational approximations, and T 0 is the period of reference signal. As reported by previous works, 14,15 the amount of pulses in S x S 0 and their duration are defined by the pulse width and the reference (f 0 ) and unknown (f x ) frequency values.…”

“…The signal coincidence process shows how the overlapping in time generates pulses in S x & S 0 that have a variable duration. As shown in the literature, 14,15 the coincidence time t 0x is the time during both input signals overlap, and it is the duration of the pulses of coincidence in the signal S x S 0 . From Figure 1(a), the variations in duration of t 0x are variable, but for all pulses of coincidence, the values of t 0x are within interval 0 < t 0x t.…”

“…The analysis, as shown in Figure 1, shows the functioning of the principle of rational approximations, which has been reported and analyzed in previous publications. 10,[13][14][15][16]18 An important characteristic is that the mentioned reports lack realism. For this reason, the aim of this work is to evaluate the effect of phase from input signals, which is closer to reality than previous reports.…”

“…[7][8][9] These improvements include not a fixed sampling time, insensitivity to jitter, and accuracy limited by the reference stability. [10][11][12][13][14][15] The application of such a technique has been proposed for several tasks, like sensors for chemical compounds 16,17 or automotive industry. 12 The aim of this work is to provide an analysis of how the phase of signals, during measurement, affects the approximation of an unknown frequency.…”

Mobile robot vision system using continuous laser scanning for industrial application

“…Stepping motor Servomotor optimal driving path determined (Basaca-Preciado et al, 2014;Sergiyenko et al, 2016). On the other hand, for the moving vehicle, fast measurements of acceleration using Murrieta-Rico et al (2016), as consequence agility of robot for avoiding obstacles can be improved. Another application for the new prototype No.…”