Signal Processing

New PDF release: A First Course in Digital Communications

By Ha H. Nguyen, Ed Shwedyk

ISBN-10: 0521876133

ISBN-13: 9780521876131

Verbal exchange know-how has develop into pervasive within the sleek global, and ever extra complicated. concentrating on the main easy rules, this rigorously paced, logically established textbook is choked with insights and illustrative examples, making this a great creation to trendy electronic communique. Examples with step by step strategies support with the assimilation of theoretical principles, and MATLAB workouts boost self assurance in making use of mathematical ideas to real-world difficulties. correct from the beginning the authors use the sign house method of supply scholars an intuitive think for the modulation/demodulation approach. After a evaluation of signs and random tactics, they describe middle subject matters and methods similar to resource coding, baseband transmission, modulation, and synchronization. The e-book closes with insurance of complicated themes similar to trellis-coding, CMDA, and space-time codes to stimulate additional learn. this can be a great textbook for someone who desires to know about smooth electronic verbal exchange.

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The algebra in this case, as shown, is complex number multiplication and addition, no more, no less. Observe that a positive m means a shift of D−k+m to the right 7 Some imagination is required here since in general the coefficients are complex numbers. 21e jπ/4 = 5e j3 t Fig. 15 −6 −5 −4 e –jπ/4 e jπ/4 −3 −2 −1 k 0 1 2 3 4 5 6 Fourier coefficients of the product of two periodic signals determined by graphical convolution. t 34 Deterministic signal characterization and analysis by m units. This is a consequence of the fact that we are dealing with D−k , that is the flipped version of Dk .

Lastly an important engineering observation is that s(t) has frequency components not present in either s1 (t) or s2 (t). , creates frequencies that were not present in the input signal. This is in contrast to a linear operation (or filter), which never creates new frequencies, it only modifies the magnitude/phase of the frequencies in the input signal. 1 Derivation of the Fourier transform representation of a nonperiodic signal Attention is turned now to nonperiodic signals, specifically signals of finite energy where ∞ −∞ |s(t)|2 dt < ∞.

56) Note that the limit becomes a function of f . It is typically denoted by a capital letter and is called the Fourier transform of the signal s(t), S(f ) = ∞ −∞ s(t)e−j2πft dt. 57) [s(t)] The units of S(f ) are those of Dk / f or units of s(t)/hertz. For this reason S(f ) is called a spectral density: it shows how the amplitude of s(t) is distributed in the frequency domain. Having represented s(t) by sinusoids with a continuous range of frequencies, albeit of infinitesimal amplitude, we consider how to reconstruct s(t) from S(f ).

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

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