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

By Ha H. Nguyen, Ed Shwedyk

Verbal exchange know-how has turn into pervasive within the glossy international, and ever extra advanced. targeting the main easy principles, this rigorously paced, logically dependent textbook is choked with insights and illustrative examples, making this a great creation to trendy electronic conversation. Examples with step by step ideas support with the assimilation of theoretical principles, and MATLAB workouts strengthen self assurance in making use of mathematical ideas to real-world difficulties. correct from the beginning the authors use the sign area method of supply scholars an intuitive consider for the modulation/demodulation strategy. After a overview of indications and random methods, they describe middle issues and methods reminiscent of resource coding, baseband transmission, modulation, and synchronization. The e-book closes with assurance of complex themes corresponding to trellis-coding, CMDA, and space-time codes to stimulate extra learn. this can be a fantastic textbook for somebody who desires to know about sleek electronic communique.

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Example text

In particular, consider the magnitude, |Dk |. The harmonics of the first example have the same magnitude at all k. The second, third, and fourth examples have harmonics whose magnitudes decay as 1/k, while those of the fifth and sixth examples decay as 1/k2 , considerably faster. The behavior of the harmonic magnitudes is related directly to how many times s(t) can be differentiated before an impulse (or equivalently a discontinuity) first appears. The rule is that if an impulse first appears in dn s(t)/dtn then |Dk | ∝ 1/kn .

In particular, consider the magnitude, |Dk |. The harmonics of the first example have the same magnitude at all k. The second, third, and fourth examples have harmonics whose magnitudes decay as 1/k, while those of the fifth and sixth examples decay as 1/k2 , considerably faster. The behavior of the harmonic magnitudes is related directly to how many times s(t) can be differentiated before an impulse (or equivalently a discontinuity) first appears. The rule is that if an impulse first appears in dn s(t)/dtn then |Dk | ∝ 1/kn .

Now the coefficient Dk in the Fourier series expansion of s1 (t) is given by [s (t)] Dk 1 = 1 T1 T1 /2 −T1 /2 [s1 (t)] t s1 (t)e−j2πkfr dt = γ T T/2γ −T/2γ s1 (t)e−j2πkγ fr t dt. 15) which shows that the Fourier series coefficients are unchanged in magnitude or phase. But the frequencies they are now associated with are changed from kfr to kγ fr . 4. , s1 (t) = s(t − τ ), where τ is the time shift. It is easy to see graphically that s1 (t) is also periodic with the same fundamental period T. To see the relationship between j2π kfr t .

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