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Instantaneous phase and instantaneous frequency are important concepts in signal processing that occur in the context of the representation and analysis of time-varying functions. The instantaneous phase (or "local phase" or simply "phase") of a ''complex-valued'' function ''s''(''t''), is the real-valued function: : where arg is the argument function. And for a ''real-valued'' function ''s''(''t''), it is determined from the function's analytic representation, ''s''a(''t''): : When ''φ''(''t'') is constrained to its principal value, either the interval (-π, π] or [0, 2π), it is called ''wrapped phase''. Otherwise it is called ''unwrapped phase'', which is a continuous function of argument ''t'', assuming ''s''a(''t'') is a continuous function of ''t''. Unless otherwise indicated, the continuous form should be inferred. ==Examples== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「instantaneous phase」の詳細全文を読む スポンサード リンク
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