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 picture Processing is helping scholars enhance a well-rounded realizing of those key parts by means of concentrating on primary options, mathematical foundations, and complex algorithms.

The presentation is mathematically thorough with transparent reasons, a variety of examples, illustrations, and functions. as well as difficulties, MATLAB-based laptop tasks are assigned on the finish of every bankruptcy, making this e-book perfect for laboratory-based classes.

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**Example text**

Then the graph of h(- m ) versus m is obtained by flipping the graph of h(m)over the vertical axis. The graph of h(n - m ) versus m is then obtained by sliding h(- m ) by n. If n is positive, the graph slides to the right. Otherwise, it slides to the left. That is, as n varies from -m to m, the graph of h(n - m ) slides discretely from left to right. The product is summed from -m to m to yield the value of y(n) for that particular n. The process is now illustrated with an example. 6 Consider an LSI system with an impulse response Find the output of the system when the input sequence is x(n) =anu(n) with la1 < 1.

By the new variable g(. ) and set the resulting equation equal to the output y ( n ) This gives the equation + .. + b ~ g ( -n M ) . 69) to sketch the flow diagram for the Direct Form 11 structure. Chapter 1. 7 BASICS OF RANDOM PROCESSES Discrete-time signals that can be mathematically described, such as the sin() function or the step function, are called deterministic signals. The value of such a signal can therefore be determined at every sample instant provided all the parameters of the function are known.

Only the Direct Form structures are presented here; the rest will be given in Chapter 4. We begm with the first-order filter given by The order of an IIR filter is defined as the maximum delay in the output. } denote the unit delay operation. 6 Implementation of Digital Filters -4 37 This equation can be implemented as shown in Fig. 29. Now we proceed to secondorder filters. These can be easily generalized to higher order structures as we shall see shortly. The second-order difference equation is given by + + + + y(n) aly(n - 1) azy(n - 2 ) = box(n) blx(n - 1) b d n - 2).