Abstract: A new time-frequency analysis theory is proposed based on recursive algorithm whose parameter is under control. The time-frequency analysis system has the merits of high speed and low storage with multi-path parallel recursive calculation instead of conventional sliding window FFT calculation. The center frequency or local frequency band can be rectified expediently. The recursive algorithm with controllable time resolution and frequency resolution has very strong go-aheadism and adjustability. It possesses the ability of real-time detection and accurate time-frequency parameter measure. The recursive algorithm can also cooperate with other effectual algorithms or systems.