By Yukihiko Hara
Depending seriously on MATLAB® difficulties and examples, in addition to simulated facts, this text/reference surveys an unlimited array of sign and photo processing instruments for biomedical applications—providing a operating wisdom of the applied sciences addressed whereas showcasing priceless implementation systems, universal pitfalls, and crucial software techniques.
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Extra info for Biosignal and Medical Image Processing, 1st Edition
All Rights Reserved. 16 A continuous signal (upper trace) is sampled at discrete points in time and stored in memory as an array of proportional numbers (lower trace). known. Converting back to relative time is then achieved by multiplying the sequence number, n, by the sampling interval, Ts: x(t) = x(nTs). Sampling theory is discussed in the next chapter and states that a sinusoid can be uniquely reconstructed providing it has been sampled by at least two equally spaced points over a cycle. Since Fourier series analysis implies that any signal can be represented is a series of sin waves (see Chapter 3), then by extension, a signal can be uniquely reconstructed providing the sampling frequency is twice that of the highest frequency in the signal.
6 shows a sinusoidal signal with various amounts of white noise. Note that is it is difficult to detect presence of the signal visually when the SNR is −3 db, and impossible when the SNR is −10 db. The ability to detect signals with low SNR is the goal and motivation for many of the signal processing tools described in this text. 6 A 30 Hz sine wave with varying amounts of added noise. The sine wave is barely discernable when the SNR is −3db and not visible when the SNR is −10 db. Copyright 2004 by Marcel Dekker, Inc.
D) Bandpass filter. Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved. 7B. 0 and the sharp attenuation at fc Hz. 7B, defining the passband region is problematic. To specify the bandwidth in this filter we must identify a frequency that defines the boundary between the attenuated and non-attenuated portion of the frequency characteristic. 0 to fc Hz, or simply fc Hz. 7C has a sharper attenuation characteristic, but still has the same bandwidth ( fc Hz). 7D has a bandwidth of fh − fl Hz.