Get A First Course in Digital Communications PDF

By Ha H. Nguyen, Ed Shwedyk

ISBN-10: 0521876133

ISBN-13: 9780521876131

Communique expertise has develop into pervasive within the glossy global, and ever extra complicated. targeting the main easy principles, this rigorously paced, logically dependent textbook is filled with insights and illustrative examples, making this an incredible creation to trendy electronic communique. Examples with step by step ideas aid with the assimilation of theoretical rules, and MATLAB routines boost self assurance in using mathematical options to real-world difficulties. correct from the beginning the authors use the sign area method of provide scholars an intuitive suppose for the modulation/demodulation approach. After a evaluation of signs and random techniques, they describe middle themes and strategies corresponding to resource coding, baseband transmission, modulation, and synchronization. The booklet closes with assurance of complex subject matters comparable to trellis-coding, CMDA, and space-time codes to stimulate extra learn. this can be a fantastic textbook for someone who desires to know about sleek electronic conversation.

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Example text

This occurs with Hilbert transforms for instance. 3 Fourier transform relationships for general signals, real or complex s(t) = ∞ −∞ ∞ S(f )ej2π ft df ←→ S(f ) = Operation −∞ s(t)e−j2πft dt s(t) S(f ) 1. 2. Superposition Time shifting αs1 (t) + βs2 (t) s(t − t0 ) 3. Time scaling s(at) 4. Time reversal Frequency-shifting Amplitude modulation 5. Time differentiation s(−t) s(t)ej2π fc t s(t) cos(2π fc t) dn s(t) dtn 6. Time integration 7. 8. 9. Time multiplication Time convolution Duality αS1 (f ) + βS2 (f ) S(f )e−j2πft0 1 f S |a| a S(−f ) S(f − fc ) 1 S(f − f ) + 1 S(f + f ) c c 2 2 (j2π f )n S(f ) t S(0) 1 S(f ) + δ(f ) j2πf 2 S1 (f ) ∗ S2 (f ) S1 (f )S2 (f ) s(−f ) s(λ)dλ −∞ s1 (t)s2 (t) s1 (t) ∗ s2 (t) S(t) Note: α and β are arbitrary constants, ∞ ∞ S1 (f ) ∗ S2 (f ) = −∞ S1 (λ)S2 (f − λ)dλ = −∞ S2 (λ)S1 (f − λ)dλ, ∞ ∞ s1 (t) ∗ s2 (t) = −∞ s1 (λ)s2 (t − λ)dλ = −∞ s2 (λ)s1 (t − λ)dλ.

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. s(0) = 7. 3 Properties of the Fourier transform Having presented several common and important Fourier transform pairs we consider next several properties of the Fourier transform.

2(c) as the sum of s1 (t) and s2 (t). –3T Fig. 2(d) over interval 0+ to T + . 2(d). The [s(t)] [s(t)] DC value is easily determined to be D0 = V/2. 5. [s (t)] [s(t)] [s(t)] From the differentiation property one has Dk 1 = (j2π k/T)Dk or Dk = [s (t)] [s (t)] Dk 1 /(j2πk/T). Next, determine Dk 1 by direct integration over the interval 0+ to T + as follows: + [s (t)] Dk 1 + k 1 T V −j2π k t 1 T T dt + −Vδ(t − T)e−j2π T t dt e T 0+ T T 0+ V 1 − e−j2πk V V = − e−j2πk = − . 28) Therefore [s (t)] [s(t)] Dk = Dk 1 −V j2π k, = j2π k/T V 2, k=0 k=0 .

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

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