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Statements

Subject Item
dbr:Higher-order_sinusoidal_input_describing_function
rdfs:label
高階弦波輸入描述函數 Higher-order sinusoidal input describing function
rdfs:comment
高階弦波輸入描述函數簡稱HOSIDF，最早是由P.W.J.M. Nuij開始使用的。是弦波輸入描述函數的延伸，描述在弦波輸入信號，系統在各諧波的響應（增益及相位）。HOSIDF和經典的频率响应函數有直觀上的相似性，定義一個穩定、因果、时不变的非線性系統在以下弦波輸入下的週期性輸出： 輸出為，包括輸入頻率的諧波： 定義輸入及輸出信號的單邊頻譜為及，使得 ，可以得到k階HOSIDF的定義： The higher-order sinusoidal input describing functions (HOSIDF) were first introduced by dr. ir. P.W.J.M. Nuij. The HOSIDFs are an extension of the sinusoidal input describing function which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input signal. The HOSIDFs bear an intuitive resemblance to the classical frequency response function and define the periodic output of a stable, causal, time invariant nonlinear system to a sinusoidal input signal: This output is denoted by and consists of harmonics of the input frequency:
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dbc:Control_theory dbc:Electrical_engineering dbc:Signal_processing
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dbo:abstract
The higher-order sinusoidal input describing functions (HOSIDF) were first introduced by dr. ir. P.W.J.M. Nuij. The HOSIDFs are an extension of the sinusoidal input describing function which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input signal. The HOSIDFs bear an intuitive resemblance to the classical frequency response function and define the periodic output of a stable, causal, time invariant nonlinear system to a sinusoidal input signal: This output is denoted by and consists of harmonics of the input frequency: Defining the single sided spectra of the input and output as and , such that yields the definition of the k-th order HOSIDF: 高階弦波輸入描述函數簡稱HOSIDF，最早是由P.W.J.M. Nuij開始使用的。是弦波輸入描述函數的延伸，描述在弦波輸入信號，系統在各諧波的響應（增益及相位）。HOSIDF和經典的频率响应函數有直觀上的相似性，定義一個穩定、因果、时不变的非線性系統在以下弦波輸入下的週期性輸出： 輸出為，包括輸入頻率的諧波： 定義輸入及輸出信號的單邊頻譜為及，使得 ，可以得到k階HOSIDF的定義：
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