Spatial Information in Autonomous Modal Parameter Estimation

Table 1

Summary of modal parameter estimation algorithms.

Algorithm	Domain		Matrix polynomial order			Coefficients
	Time	Freq.	Zero	Low	High	Scalar	Matrix
Complex Exponential Algorithm (CEA)	•				•	•
Least Squares Complex Exponential (LSCE)	•				•	•
Polyreference Time Domain (PTD)	•				•		𝑁𝑆×𝑁𝑆
Ibrahim Time Domain (ITD)	•			•			𝑁𝐿×𝑁𝐿
Multireference Ibrahim Time Domain (MRITD)	•			•			𝑁𝐿×𝑁𝐿
Eigensystem Realization Algorithm (ERA)	•			•			𝑁𝐿×𝑁𝐿
Polyreference Frequency Domain (PFD)		•		•			𝑁𝐿×𝑁𝐿
Simultaneous Frequency Domain (SFD)		•		•			𝑁𝐿×𝑁𝐿
Multireference Frequency Domain (MRFD)		•		•			𝑁𝐿×𝑁𝐿
Rational Fraction Polynomial (RFP)		•			•	•	𝑁𝑆×𝑁𝑆
Orthogonal Polynomial (OP)		•			•	•	𝑁𝑆×𝑁𝑆
Polyreference Least Squares Complex Frequency (PLSCF)		•			•	•	𝑁𝑆×𝑁𝑆
Rational Fraction Polynomial-Z Domain (RFP-Z)		•			•	•	𝑁𝑆×𝑁𝑆
Complex Mode Indication Function (CMIF)		•	•				𝑁𝐿×𝑁𝑆