By John G. Proakis, Masoud Salehi

Electronic Communications is a vintage ebook within the zone that's designed for use as a senior or graduate point textual content. The textual content is versatile and will simply be utilized in a one semester path or there's sufficient intensity to hide semesters. Its complete nature makes it an exceptional e-book for college students to maintain for reference of their expert careers. This all-inclusive advisor offers a superb advent to the research and layout of electronic verbal exchange platforms. comprises specialist assurance of latest issues: Turbocodes, Turboequalization, Antenna Arrays, electronic mobile platforms, and Iterative Detection. handy, sequential association starts with a glance on the historical past and class of channel versions and builds from there.

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**Extra resources for Digital Communications, 5th Edition **

**Example text**

2–57 is used. 2–6. 2–59) where Am ’s are arbitrary complex numbers and g(t) is a real lowpass signal with energy Eg . The lowpass equivalent signals are given by sml (t) = Am g(t) and therefore the unit-energy signal φ(t) defined by φ(t) = is sufficient to expand all sml (t)’s. , the lowpass signals constitute one complex dimension (or, m equivalently, two real dimensions). 2–54 we conclude that φ(t) = 2 g(t) cos 2π f 0 t Eg φ(t) = − 2 g(t) sin 2π f 0 t Eg can be used as a basis for expansion of the bandpass signals.

3–3 The PDF of the χ 2 random variable for different values of n. All plots are shown for σ = 1.

Note that the vector lengths are identical to those obtained from the orthonormal functions {φn (t)}. 2–5. 2–1(a) and the corresponding signal points. Proakis-27466 book September 25, 2007 13:9 38 Digital Communications Bandpass and Lowpass Orthonormal Basis Let us consider the case in which the signal waveforms are bandpass and represented as sm (t) = Re sml (t)e j2π f0 t , m = 1, 2, . . 2–48) where {sml (t)} denotes the lowpass equivalent signals. 1–1 that if two lowpass equivalent signals are orthogonal, the corresponding bandpass signals are orthogonal too.