scholarly journals On the Performance of Optimal Input Signals for Frequency Response Estimation

2012 ◽  
Vol 57 (3) ◽  
pp. 766-771 ◽  
Author(s):  
B. Wahlberg ◽  
H. Hjalmarsson ◽  
P. Stoica
Keyword(s):  
Frequency Response ◽  
Optimal Input ◽  
Input Signals

Time-frequency equivalence using chirp signals for frequency response analysis

2021 ◽  
Author(s):  
Resmi Suresh ◽  
Raghunathan Rengaswamy
Keyword(s):  
Frequency Response ◽  
Electrochemical Impedance ◽  
Response Analysis ◽  
Chirp Signal ◽  
Simulation Studies ◽  
Frequency Response Analysis ◽  
Time Frequency ◽  
Input Signals ◽  
Chirp Signals ◽  
Potential Impact

Abstract Frequency response analysis (FRA) of systems is a well-researched area. For years, FRA has been performed using input signals, which are a series of sinusoids or a sum of sinusoids. This results in large experimentation time, particularly when the system has to be probed at lower frequencies. In this work, we describe a previously unknown time-frequency duality for linear systems when probed through chirp signals. We show that the entire frequency response can be extracted with a single chirp signal by extending the notion of instantaneous frequency to both the input and output signals. It is surprising that this powerful result had not been uncovered given that FRA has been used in multiple disciplines for more than hundred years. This result has the possibility of completely revolutionizing methods used for frequency response analysis. Simulation studies that support the main result are described. While this result is of relevance in multiple areas, we demonstrate the potential impact of this result in electrochemical impedance spectroscopy.

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