Loop-to-loop pulsed electromagnetic field wireless signal transfer

Abstract

The pulsed-Àeld signal transfer between a transmitting and a receiving loop is investigated by means of a model based on the electromagnetic reciprocity theorem of the timeconvolution type. The transmitter loop excitation is modeled as causal pulses characterized by a reduced number of parameters. Analytic expressions are provided for the generator voltage in the equivalent Thévenin circuit describing the performance of the receiving loop for arbitrary values of mutual distance and orientation of the loops. Numerical examples illustrate the intricate manner in which the received signal is related to the signal to be transferred. Applications are found in the design of digital, wireless interconnects.

Causal Pulses With Rectangular Spectral Content: A Tool for TD Analysis of UWB Antenna Performance

“…Its Laplace transform is for (11) with denoting the Euler gamma function. The corresponding Fourier transform follows by taking .…”

“…The relevant spectral diagrams approximate increasingly well a rectangular one as increases. However, the TW-sinc-cosine model pulse can only be differentiated once, the first derivative already showing jump discontinuities at the time-window's ends, and, hence, is inadequate for pulsed-field models requiring differentiations of orders one, two and three of the exciting pulse [7, Sections 26.9 and 26.10], [11].…”

On the Adequacy of the Far-Field Conditions for Pulsed Radiated EM Fields

“…761], [9] (8) 2 The rise time of the causal, unipolar pulse is defined as the time needed for the pulse to reach its amplitude. 3 These ratios were determined in our experiments numerically, by examining the relevant time signatures over suitable time-windows.…”

“…Our study is of relevance for close-range, wireless digital communications as considered in [9], [14]. The discussed experiments will evidence that (1) yields a too low bound of the far-field region and, thus, may result in erroneous prediction of the received pulse's shape.…”

“…Due to the very low admissible levels of UWB radiated power [6], the accurate knowledge of the expected pulse shape at the receiver side is conditional to implementing effective matched filters for discriminating pulses from noise [7, Section III-B] or for developing low-complexity, direct pulse detection circuitry [8]. Note that transmitted pulse signatures undergo significant spatial transformations, their shape only stabilizing in the far-field region [9].…”