By Gérard Blanchet, Maurice Charbit

ISBN-10: 1905209134

ISBN-13: 9781905209132

This name presents an important theoretical points of picture and sign Processing (ISP) for either deterministic and random indications. the speculation is supported by way of workouts and computing device simulations in relation to genuine functions. greater than 2 hundred courses and services are supplied within the MATLAB® language, with invaluable reviews and suggestions, to allow numerical experiments to be performed, hence permitting readers to enhance a deeper figuring out of either the theoretical and useful elements of this topic.

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**Extra info for Digital Signal and Image Processing Using MATLAB **

**Sample text**

If you don't specify w, MATLAB will automatically generate an appropriate w vector, and create the plot. Instead of plotting the Bode plot, you may like to store the magnitude (mag), \G(ico)\, and the phase, <£(&>), at given set of frequencies, w, for further processing by using the following MATLAB command: » [ m a g , p h a s e j w ] = b o d e ( n u m , d e n , w ) ;

We see that the two quantities can be obtained from one another by using the relationship s = ia> (that is the reason why we knowingly used the same symbol, G(-), for both transfer function and the frequency response). A special transform, called the Fourier transform, can be defined by substituting s = ia) in the definition of the Laplace transform (Eq. 59). 74) k (The lower limit of integration in Eq. ) Then, from Eq. 75) Note that in Eqs. 75), the Fourier transforms of the input and the output, U(iaj) and Y(ia>), do not have any physical significance, and in this respect they are similar to the Laplace transforms, U(s) and Y(s).

When we use the word excited, it is quite in the literal sense, because it denotes the condition (called resonance) when the magnitude of the frequency response, |G(/o>)|, becomes very large, or infinite. The frequencies at which a system can be excited are called its natural (or resonant) frequencies. High pitched voice of many a diva has shattered the opera-house window panes while accidently singing at one of the natural frequencies of the window! If a system contains energy dissipative processes (called damping), the frequency response magnitude at natural frequencies is large, but finite.

### Digital Signal and Image Processing Using MATLAB by Gérard Blanchet, Maurice Charbit

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