Transcription of CHAPTER Linear Systems - Digital signal processing
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CHAPTER Linear Systems - Digital signal processing
87 CHAPTER5 Linear Systems Most DSP techniques are based on a divide-and-conquer strategy called superposition. Thesignal being processed is broken into simple components, each component is processedindividually, and the results reunited. This approach has the tremendous power of breaking asingle complicated problem into many easy ones. Superposition can only be used with linearsystems, a term meaning that certain mathematical rules apply. Fortunately, most of theapplications encountered in science and engineering fall into this category. This CHAPTER presentsthe foundation of DSP: what it means for a system to be Linear , various ways for breaking signalsinto simpler components, and how superposition provides a variety of signal and SystemsA signal is a description of how one parameter varies with another instance, voltage changing over time in an electronic circuit, or brightnessvarying with distance in an image.
Chapter 5- Linear Systems 89 System System x[n] y[n] IF THEN k x[n] k y[n] FIGURE 5-2 Definition of homogeneity. A system is said to be homogeneous if an amplitude change in
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