Download A First Course in Digital Communications by Ha H. Nguyen, Ed Shwedyk PDF

By Ha H. Nguyen, Ed Shwedyk

Conversation expertise has develop into pervasive within the glossy international, and ever extra complicated. targeting the main simple principles, this rigorously paced, logically established textbook is full of insights and illustrative examples, making this a terrific advent to trendy electronic communique. Examples with step by step strategies support with the assimilation of theoretical principles, and MATLAB workouts strengthen self belief in making use of mathematical options to real-world difficulties. correct from the beginning the authors use the sign area method of provide scholars an intuitive consider for the modulation/demodulation strategy. After a evaluate of indications and random tactics, they describe middle issues and methods reminiscent of resource coding, baseband transmission, modulation, and synchronization. The ebook closes with insurance of complex themes resembling trellis-coding, CMDA, and space-time codes to stimulate additional examine. this is often an incredible textbook for somebody who desires to find out about glossy electronic verbal exchange.

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9 The astute reader or one with the appropriate background may recognize that this is the area under a Gaussian probability density function. 46 t Deterministic signal characterization and analysis S( f ) = V 2 s(t) = Ve–at , a > 0 (V) Fig. 24 –π 2f 2/a, ae a>0 (V/Hz) V V t π π a t (s) 0 (a) 0 (b) f (Hz) (a) Gaussian signal and (b) its Fourier transform. 2 Fourier transform properties s(t) = Property ∞ −∞ S(f )ej2π ft df ←→ S(f ) = Signal type 1. 2. 3. 4. 5. |S(f )| = |S(−f )| S(f ) = − S(−f ) R{S(f )} = R{S(−f )} I{S(f )} = −I{S(−f )} S(−f ) = S∗ (f ) 6.

But the RHS of the last equality is simply the Fourier series representation of s(t) where the [s(t)] coefficient Dm is given in terms of the Fourier series coefficients of s1 (t) and s2 (t) by ∞ D[s(t)] = m [s (t)] Dk 1 k=−∞ [s (t)] ∞ [s (t)] 2 Dm−k = [s2 (t)] 1 Dm−k Dm . 53) k=−∞ The above mathematical operation, which in this case arose to determine the coeffi[s(t)] cients Dm , is a very important one in linear system theory and signal processing. It is called convolution. 53) is written [s(t)] [s (t)] [s (t)] = Dk 1 ∗ Dk 2 .

These remarks hold for any α > 1. 4 Nonperiodic signals s(t) p(t) −2T −T −T0 t 0 T T0 2T (a) s1(t) p (t ) −αT −T0 0 t αT T0 (b) s(t) = p(t) t Fig. 16 −T0 0 t T0 (c) Derivation of the Fourier transform of a nonperiodic signal: fundamental period is (a) T, (b) αT, α > 1, (c) approaching ∞. 2 t Fig. 17 −6 −4 −2 0 2 Normalized frequency ( f T ) 4 6 Illustration of the effect of increasing the fundamental period while keeping the basic pulse p(t) unchanged. Here p(t) is a rectangular of amplitude V over [−T/3, T/3].

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