Transfer Function Estimation via Frequency-Time Domain Conversion

The patent replaces the mechanical curve fitting process with a mathematical operator sequence approach. Instead of performing complex curve fitting calculations on frequency response data to extract transfer functions of divided systems, the method uses a predefined operator sequence (comprising addition, subtraction, multiplication, and division operations) applied directly to frequency response characteristics. This substitution dramatically reduces processing load while maintaining estimation precision, as the operator sequence method avoids the computationally intensive iterative optimization required by curve fitting.

The patent creates a universal operator sequence that can process complete frequency response characteristics without requiring selective filtering of resonance or anti-resonance components. The operator sequence is designed to handle the full spectrum of frequency data, making the method universally applicable regardless of the number or distribution of resonance components. This multi-functional approach allows the system to process all available information uniformly, avoiding the information loss that occurs when only selected components are used for curve fitting.

The patent segments the transfer function estimation problem into two independent parts: (1) measurement of frequency response characteristics of the whole system, and (2) application of operator sequences to these characteristics. This segmentation eliminates the need to calculate divided system transfer functions separately, thereby avoiding the excessive processing load that would prevent whole system estimation. The method processes only the necessary whole system frequency response data through simplified operator sequences, ensuring reliable estimation without computational bottlenecks.