By Tamal Bose
Introducing the 1st textual content to combine the themes of electronic sign processing (DSP), electronic picture processing (DIP), and adaptive sign processing (ASP)! electronic sign and snapshot Processing is helping scholars boost a well-rounded knowing of those key parts through concentrating on basic innovations, mathematical foundations, and complex algorithms.
The presentation is mathematically thorough with transparent causes, a variety of examples, illustrations, and purposes. as well as difficulties, MATLAB-based desktop tasks are assigned on the finish of every bankruptcy, making this publication excellent for laboratory-based classes.
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Extra resources for Digital Signal and Image Processing
Such signals are common phenomena in many areas of engineering. Speech signals, radar signals, video signals, biomedical signals, and a variety of noise sources are some examples. A random process is not really a single sequence but a collection of sequences. To explain this, consider the following example. Let us assume that we want to measure the temperature in a given city by thermometers placed at a variety of different locations within the city limits. Let xl(n),n = 0,1,2,. . denote a sequence of temperature measurements every second for a given duration measured by thermometer no.
The angularfrequeny and the tim-period are = 3 and TI,= $, respectively. In this case, there exists no integer such that P = mTo is also an integer: Thus, this 9, sequence is nonperiodic. In this case, To = and thre exists an integer such that P = pm is also an integer The smallest integer value of P is obtained when we choose m = 3. Thus, this sequence is pedodic with afundamntal period of P = 2. Frequency in Continuous versus Discrete-Time Now we examine the relationship between the frequency of a continuous-time sinusoid and that of its discrete-time counterpart.
14 Continuous-time unit step function. 'A function x ( t ) is even if it satisfies the condition x ( t ) = x ( - t ) . It is said to he an odd function if it satisfies x ( t ) = -x(-t). Chapter 1. Fundamental Concepts Discrete-Time Signals Unit Impulse The discrete-time unit impulse is defined as This signal is also referred to as the unit sampb function and is shown in Fig. The discrete-timeimpulse is not obtained by sampling the continuous-time impulse function. The function 6(n - no)is a shifted impulse that has a unit amplitude at n = no and zero elsewhere.