本文利用最大熵法分別求解不規則實驗波浪於淺化過程中的波高、週期機率密度函數，進而建立波浪的波高週期聯合分佈模式。
經由卡方檢定及機率密度函數所含參數與波浪特性相關性的良窳，本文建議波高機率密度函數以三階模式，而週期機率密度函數則以二階模式最為合適。
直接將本文建議的三階波高機率密度函數模式和二階週期機率密度函數模式相乘所建立的波高週期聯合分佈模式，模擬實際的波高週期聯合分佈時結果並不佳；因此本文提出一修正函數，建立修正的波高週期聯合分佈模式，可有效改進模擬結果。
利用本文的修正波高週期聯合分佈模式，模擬波浪淺化過程中波高週期聯合分佈的變化情形，可獲得與實際的波高週期聯合分佈一致的趨勢。

Dimensionless wave height and wave period probability density function during shoaling process have been solved in this study by applying Maximum Entropy Method (Ahn 2000). Besides, the purpose is to build the joint probability distribution function of wave height and period.
Compared with the parameters of probability density function and Ursell number of data by χ2 test, we assumed that the third order method (PMEM3(h)) is the better way to represent wave height distribution, and then the second order method(PMEM2(t)) is the better one for wave period distribution.
PMEM3(h) multiplied by PMEM2(t) directly, we got the joint probability distribution function of wave height and period(P-MEM). However, the results of P-MEM compare poorly with others. We rebuild the function of correction(f(h,t)) to correct the P-MEM, and then we got other joint probability distribution function of wave height and period(P-reMEM、P-expMEM).
Using the P-reMEM and P-expMEM to simulate the actual joint probability distribution function of wave height and period during shoaling process is good for the study.

1.Ahn, K. , “Statistical Distribution of Wave Heights in Finite Water Depth”, Conference Proceeding Paper. Part of:, Coastal Engineering, Vol. 1, pp.533-544, 2000.

2.Brodtkorb, P. A. , “Joint Distributions of Wave Height and Wave Steepness Parameters”, Proceedings of 27th International Conference on Coastal Engineering, Sydney, Australia, Vol. 1, pp.545-558, 2000.

3.Ezraty, R. , “Comparison with Observation at Sea of Period or Height Dependent Sea State Parameters from a theoretical model”, 9th annual Offshore Technology Conference, pp.149-154, 1976.

4.Goda, Y. , “The Observed Joint Distribution of Periods and Heights of Sea Waves ”, Proceedings of 16th International Conference on Coastal Engineering, Sydney, Australia, pp.227-246, 1978.

5.Longuet-Higgins, M. S. , “On the Joint distribution of the Periods and Amplitudes of Sea Waves”, Journal of Geophysical Research, Vol. 80, pp.2688-2694, 1975.

6.Longuet-Higgins, M. S. , “On the Joint Distribution of Wave Periods and Amplitudes in a Random Wave Field”, Proceedings of the Royal Society of London, Vol. 389, pp.241-258, 1983.

7.Memos, D. , “Joint Distribution of wave heights and periods in waters of any depth”, Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 126, Issue 3, pp.162-172, 2000.

8.Soby, R. J. , “The distribution of zero-crossing wave heights and periods in a stationary sea state”, Ocean Engineering, Vol. 19, pp.101-118, 1992.

9.曹登皓, “非高斯統計特性對波高—週期聯合分佈之影響”, 22th海洋工程研討會, pp.47-53, 2000.

10.曹登皓, “群波因子對波高—週期聯合分佈之影響”, 23th海洋工程研討會, 2001.

11.黃智豪, “淺化過程中的波高統計分佈之研究”, 27th海洋工程研討會, pp.605-612, 2005.