| 引用本文: | 吕锐.一类二维ARMA模型的判阶及参数辨识的一种算法.[J].国防科技大学学报,1986,(2):37-46.[点击复制] |
| LYU Rui.A Algorithm of Determining the Order and Identifying The Parameters of a Class of Two-dimensional ARMA Model[J].Journal of National University of Defense Technology,1986,(2):37-46[点击复制] |
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| 一类二维ARMA模型的判阶及参数辨识的一种算法 |
| 吕锐 |
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| 摘要: |
| 本文首先推导出了二维ARMA模型的冲激响应序列h(i，j)与模型参数集{aij}及{bij}的关系式，并给出了证明。利用导出的关系式，给出了一种用冲激响应序列确定二维ARMA模型的阶的算法，进而给出了基于冲激响应序列及己确定的阶，求模型参数集{aij}及{bij}的算法。由这些算法得到了一种不同于FFT方法的由冲激响应序列求二维频率响应的方法，它与传统的FFT方法比较，具有运算量小，分辨率高及能给出连续频响的优点。最后给出了微机仿真的例子。该算法加以修正后可用于Radar目标辨识和图象重建应用中。 |
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| 投稿日期：1985-09-11 |
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| A Algorithm of Determining the Order and Identifying The Parameters of a Class of Two-dimensional ARMA Model |
| LYU Rui |
| Abstract: |
| In this paper，the formulas have been developed concerning the relationship of the impulse response sequence h(i，j)of a c1ass of two-dimension
ARMA model and the parameter sets {aij} and {bij}，and the proof is given. With the help of the formulas，an algorithm determining the model's order is given by the impulse response sequence; then an algorithm identifying the model's parameter sets {aij} and {bij} is given by means of the impulse response sequence and the order determined. By the algorithms, the method based on the impulse reponse sequence is obtained to determine the two-dimensional frequency response，it is different from FFT algorithm. Compared with classifical FFT algorithm， it has the following advantages:
(1)smaller calculating quantities. (2)higher resolution. (3)continuous frequency respcnse can be given. At last，an example of simulation is illustrated. When improved，the algorithm can be applied to radar target identification and image reconstruction. |
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