New PDF release: The Scientist and Engineers Guide to Digital Signal

By Steven W. Smith

ISBN-10: 0966017641

ISBN-13: 9780966017649

ISBN-10: 0966017668

ISBN-13: 9780966017663

ISBN-10: 0966017676

ISBN-13: 9780966017670

The e-book offers the basics of DSP utilizing examples from universal technology and engineering challenge

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Additional info for The Scientist and Engineers Guide to Digital Signal Processing

Example text

2-2 is an estimate of the standard deviation of the underlying process. If we divided by N in the equation, it would provide the standard deviation of the acquired signal. As an illustration of these ideas, look at the signals in Fig. 2-3, and ask: are the variations in these signals a result of statistical noise, or is the underlying process changing? It probably isn't hard to convince yourself that these changes are too large for random chance, and must be related to the underlying process. Processes that change their characteristics in this manner are called nonstationary.

0. Table 2-4 presents a program for calculating a binned histogram in this manner. 8 4 b. Histogram of 601 bins Number of occurences a. 2 0 0 50 100 150 200 Sample number 250 0 300 150 300 450 600 6 8 Bin number in histogram 160 c. Histogram of 9 bins Number of occurences FIGURE 2-7 Example of binned histograms. As shown in (a), the signal used in this example is 300 samples long, with each sample a floating point number uniformly distributed between 1 and 3. Figures (b) and (c) show binned histograms of this signal, using 601 and 9 bins, respectively.

Short bursts of sound are transmitted from the ship, reflected from the ocean floor, and received at the surface as an echo. Sound waves travel at a relatively constant velocity in water, allowing the depth to be found from the elapsed time between the transmitted and received pulses. As with all empirical measurements, a certain amount of error exists between the measured and true values. This particular measurement could be affected by many factors: random noise in the electronics, waves on the ocean surface, plant growth on the ocean floor, variations in the water temperature causing the sound velocity to change, etc.

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The Scientist and Engineers Guide to Digital Signal Processing by Steven W. Smith


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