By Ken Barbier, Maurice G. Barbier
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Extra resources for Pulse Coding in Seismology
Now this curve will tell us the ampli tude of the chosen reflection at time t J• According to the curve it is ARl. Let us try to find out what would be amplitude of same reflection if we had used a pulse coding method. Let us suppose we have transmitted a sequence of n pulses, the autocorrelation function of which is represented in Figure 33. We may consider that the maximum amplitude is n, or we may consider that the maximum amplitude is 1, in which I case the amplitude of each secondary peak has been divided by n.
The basic idea of this processing is to crosscorrelate the received data with the pulse sequence. As is well known, to crosscorrelate two functions means to multiply them ordinate by ordinate and to add the products over the duration of the two functions. This operation is done for each relative position of the two functions. • a function containing values 1 or 0, all the multiplications contain either a 1 or a 0 which is an important simplification of the process. Decoding a pulse coded record will therefore be much faster and much cheaper than decoding a Vibroseis record.
The pulse sequence is recorded as a reference trace on an auxiliary channel. and the geophone data are recorded on normal seismic channels. As an example, let us consider a pulse sequence 40 seconds long with seismic data 45 seconds long, which corresponds to a 5-second record time after the last pulse has been transmitted. Let us look at Figure 45. If we consider each transmitted pulse individually, we would have recorded for 5 seconds after each pulse. If we look at a given reflection e at a time of 2 seconds.