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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/4445
Title: Another look at Z-transform technique for deriving unit impulse response function
Authors: Rai R.K.
Jain, Manoj Kumar
Mishra, Surendra Kumar
Ojha, C. S. P.
Singh V.P.
Published in: Water Resources Management
Abstract: This paper presents a technique to derive the unit impulse response functions (UIRF) used for determination of unit hydrograph by employing the Z-transform technique to the response function derived from the Auto Regressive Moving Average (ARMA) process of order (p, q). The proposed approach was applied to reproduce direct surface runoff for single storm event data registered over four watersheds of area ranging from 0.42 to 295 km2. It is observed that the UIRF based on ARMA (1, 2) and ARMA (2, 2) provides a better representation of the watershed response. Further, to test the superiority of the developed impulse response function form ARMA process, the direct runoff hydrographs were computed using the simple ARMA process and optimized Nash's two parameter model and compared with the results obtained from UIRF's of ARMA model. The performance of the models based on the graphical presentation as well as from the test statistics viz. RMSE and MAPE indicates that UIRF-ARMA (p, q) performs better than optimized Nash Model and mostly similar to simple ARMA (p, q) model. Further more, the ARMA process of order p ?2 and q ?2 is generally sufficient and less cumbersome than the Argand diagram based approach for UIRF derivation. ¬© Springer Science+Business Media, Inc. 2007.
Citation: Water Resources Management(2007), 21(11): 1829-1848
URI: https://doi.org/10.1007/s11269-006-9132-1
http://repository.iitr.ac.in/handle/123456789/4445
Issue Date: 2007
Keywords: ARMA
Transfer function
Unit impulse response function
Z-transform
ISSN: 9204741
Author Scopus IDs: 35339766900
55555537300
55463271000
7004206177
57211219633
Author Affiliations: Rai, R.K., Department of Hydrology, Indian Institute of Technology Roorkee, Roorkee 246 667 U.A., India
Jain, M.K., Department of Hydrology, Indian Institute of Technology Roorkee, Roorkee 246 667 U.A., India
Mishra, S.K., Department of WRDM, Indian Institute of Technology Roorkee, Roorkee 246 667 U.A., India
Ojha, C.S.P., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 246 667 U.A., India
Singh, V.P., Department of Biological and Agricultural Engineering, Texas A and M University, College Station, TX 77843-2117, United States
Corresponding Author: Rai, R.K.; Department of Hydrology, Indian Institute of Technology Roorkee, Roorkee 246 667 U.A., India; email: rai.rkhyd@gmail.com
Appears in Collections:Journal Publications [CE]
Journal Publications [WR]

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