Generation of a Wide-Band Response Using Early-Time and Middle-Frequency Data Through the Laguerre Functions

Abstract

Abstract-In this hybrid combined time domain (TD) and frequency domain (FD) approach, one can generate the early-time response using the method of marching-on-in-time (MOT) and use the method of moment (MOM) to generate the middle-frequency response, as the low frequency data may be unstable. The early-time and the middlefrequency data provide the missing low and high frequency response and the late-time response, respectively. Generation of a wide-band response using partial information of the TD data and FD data has been accomplished by the use of the continuous and discrete Laguerre functions.

Generation of a Wide-Band Response Using Early-Time and Middle-Frequency Data Through the Use of Orthogonal Functions

“…The basic principle is that the early-time and low-frequency data provide the missing high-frequency response and the missing late-time response, respectively. From this basic principle, one can also extend the hybrid TD-FD method to generate a wide-band response in both domains using early-time and middle-frequency data instead of using early-time and low-frequency data [7]. There are two reasons for this extended hybrid TD-FD method.…”