By Nataša Živić
The fast improvement of conversation applied sciences considerably affects the growth of contemporary society. This e-book teaches a easy wisdom of communique applied sciences, in addition to new developmental developments, allowing the reader to stick modern within the box.
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This reconstruction is perfect due to the exact sparse signal recovery. Also, it is shown in [Whi15] that the RIP condition can be replaced by the weaker condition NSP in noiseless setting where the same error bound can be achieved. To tackle real world problems in CS, signal recovery from noisy data attracts more interest in general. The above results can be extended to this case as well. 114) Several promising approaches exist in the literature in the presence of some special types of noise [Can08][HaNo06].
T t Fig. 19: Gibbs phenomenon. Fourier series can be also presented using only sine or only cosine functions, instead of both sine and cosine [Veetal14]. 29) Another possibility for the presentation of Fourier series is complex Fourier series. For complex presentation of Fourier series, positive and negative frequencies are used. 37) Data and Signals | 17 s(t) A T -_ 2 T -_ 4 T _ 4 0 T _ 2 t Fig. 20: Periodic digital signal. A typical signal used for testing and analysing of transmission systems is a periodic digital signal of a period T (Fig.
Originally, a sparse or compressible solution for a standard CS problem is sought by solving the following optimization problem: 40 | Signals and Systems ,/‖3‖# 3 @A4&B BC 53 = ? 112) The objective function of the aforementioned optimization problem is not convex which creates a big barrier for seeking the solution. In fact, it has been shown that the above l0-minimization and its generalization are NP-hard problems. So, the following l1-minimization problem is tried to be solved instead: ,/‖3‖ 3 @A4&B BC 53 = ?
Modern Communications Technology by Nataša Živić