A new technique for instantaneous frequency rate estimation
A new technique for instantaneous frequency rate estimation
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DOI：
10.1109/lsp.2002.803003
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发表时间：
2002-08-01
影响因子：
3.9
通讯作者：
O'Shea, P
中科院分区：
文献类型：
--
作者：
O'Shea, P
这封信介绍了一个二维双线性映射算子称为三次相位（CP）函数。对于一阶、二阶或三阶多项式相位信号，CP函数的能量沿着信号的频率变化率规律集中。因此，该函数具有作为时间-频率速率表示的解释。CP函数的峰值产生瞬时（角）频率速率（IFR）的无偏估计，因此，可以用作IFR估计算法的基础。文中定义了IFR估计算法并从理论上进行了分析，在高信噪比条件下，该算法在数据记录中心处是渐近最优的。仿真结果验证了理论的正确性。
This letter introduces a two-dimensional bilinear mapping operator referred to as the cubic phase (CP) function. For first-, second-, or third-order polynomial phase signals, the energy, of the CP function is concentrated along the frequency rate law of the signal. The function, thus, has an interpretation as a time-frequency rate representation. The peaks of the CP function yield unbiased estimates of the instantaneous (angular) frequency rate (IFR) and, hence, can be used as the basis for an IFR estimation algorithm. The letter defines an IFR estimation algorithm and theoretically analyzes it. The estimation is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios. Simulations are provided to verify the theoretical claims.