# Software for strong-motion data display and processing

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1 Project S6 Data base of the Italian strong-motion data relative to the period Coordinators: Lucia Luzi (INGV-MI) and Fabio Sabetta (DPC-USSN) TASK 2 - Deliverable 4 Software for strong-motion data display and processing Authors Lucia Luzi, Dino Bindi, Francesca Pacor (UR1)

2 INDEX 1. INTRODUCTION PROCESSING OPTIONS MODIFY THE DISPLAY DATA PROCESSING References Task 2 - Deliverable 4 2

5 2. PROCESSING OPTIONS The main program window displays the three components, the display options and the processing options (Figure 2). Figure 2: Main window Several operations can be performed: modify the display (upper left corner) process data (bottom) scroll the file list, restart program or go back (lower right corner) see header (lower left corner) 2.1 MODIFY THE DISPLAY To modify the display: Zoom X executes zoom on X axis (to go back press the left mouse button) Zoom Y executes zoom on Y axis (to go back press the left mouse button) Task 2 - Deliverable 4 5

6 fit NS (WE or UP) fits accelerogram to another component XYlim assigns the x-y limits for the three components Pan pans the view of a graph interactively 2.2 DATA PROCESSING At the bottom of the main program mask there are several buttons which allow to perform simple operations on the time series. DETREND Removes the linear trend which best fits the signal (routine Matlab detrend with linear option). Message of correct execution: BASELINE REMOVED DEMEAN Removes the mean of the signal from the signal itself (routine Matlab detrend with constant option). Message of correct execution: MEAN REMOVED with the mean values DECIMATE The program asks for the decimation factor (integer). The decimation is executed with the Matlab routine decimate y = decimate(x, r) which reduces the sampling step of the vector x of a factor r Example: decimation factor = 2 If the original dt is 0.005s, then the new dt will be 0.01s INTERPOLATE The program asks for the interpolation factor (integer). The interpolation is executed with the Matlab routine interp y = interp(x, r) Task 2 - Deliverable 4 6

7 which increases the sampling step of the vector x of a factor r ASSIGN dt Assigns a new sampling interval (any value assigned by the user) The program asks for a new time step. The interpolation is executed with the Matlab routine interp1. yi = interp1(x,y,xi) which changes the sampling step, by creating a new vector yi with Y the time step vector, from vector xi with initial time step vector x. FFT Executes the fast Fourier transform of the signal and the logarithmic or linear plot on a separate window (figure 3). It is possible to zoom or assign X-Y limits to the plots and save the Fourier spectra, which can be smoothed. The program uses the Matlab routine fft Figure 3: window displaying the Fourier spectra Task 2 - Deliverable 4 7

8 Two smoothing options are provided: 1) Konno-Ohmachi: executes a smoothing according to the scheme proposed by Konno and Ohmachi (1998). The parameters that can be modified are the smoothing half-window, the b exponent (default = 20) and the sm parameter (default = 1) which assigns the relative weights 2) Logarithmic smoothing: the smoothing frequencies are sampled on a logarithmic scale. FILTER Executes the band-pass, the high-pass or low-pass filtering. Two types of filters are implemented: acausal Butterworth and raised Cosine. In the filter input mask input one should select the filter order (in case of Butterworth) or the roll-off factor (in case of cosine filter) and the high-pass, low-pass or band-pass frequencies. Figure 4 shows the filter input data. Different frequencies can be input for the different components. There is also a facility for the roll-off factor selection (button See fre..): the user can add the roll-off factor and the low, high or band pass frequency, so that the stop and pass frequences are shown. Figure 4. filter input data Task 2 - Deliverable 4 8

9 INSTRUM Executes the convolution for the instrument response. The input data are the instrument frequency and damping (in case of itaca format, the program reads automatically these values from the header). The convolution is done by executing the FFT of the signal, and making a convolution with the instrument response (amplitude and phase). Then an inverse FFT is performed. SELECT WINDOW Allows to select part of the signal specifying the x limits by: i) keyboard input, ii) selecting the energy content (%) or iii) picking two points ineractively. TAPER Performs a cosine taper of the signal. The user should enter the percentage of the points of the signal at the beginning and at the end of the record. INTEGRATE Integrates the time series in the time domain (using the trapezoidal integration). DERIVATIVE Performs the derivative of the signal in the time domain HVSR Performs the horizontal to vertical spectral ratio. The spectra smoothing options are the same as in the Fourier spectrum SIG2NOISE Performs a signal to noise ratio. The user should select interactively a signal and a noise window. RESP. SPECTRUM Task 2 - Deliverable 4 9

10 Calculates the elastic response spectrum. One should specify the damping value, the type of spectrum (pseudoabsoulte acceleration, absolute acceleration, relative velocity, pseudo relative velocity, relatve displacement). The periods can be equally spaced, or they can be stored in an external file, if they are oddly spaced, as shown in Figure 5. The user can select the processing of all the files in the ASCII file list, specified at the beginning. The program will automatically save the spectra, which will have the following extension:.sa,.psa,.sv,.psv,.rd, for absolute acceleration, pseudoabsoulte acceleration, relative velocity, pseudo relative velocity, relative displacement If the periods are not equally spaced, the external file conaining the periods should be named per_std.txt and should contain the list of the periods of interest as: Task 2 - Deliverable 4 10

11 ... PARAMETERS Calculates some of the engineering parameters, such as peak ground acceleration peak ground velocity, peak ground displacement, Arias intensity, effective duration, together with the Husid plot of the time series, as shown in figure 6. Figure 6: strong motion parameters calculated with the routine itaca The user can select to process the entire list and the parameters will be stored in en external ASCII files. The strong motion parameters relative to a single record can be saved pressing the SAVE button. Task 2 - Deliverable 4 11

12 3. REFERENCES Konno K., Ohmachi T. (1998). Ground motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremors. Bull. Seism. Soc. Am. Vol. 88, n. 1, Task 2 - Deliverable 4 12

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