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Digital Communication Systems by Simon Haykin

By Simon Haykin

Deals the main entire, updated insurance to be had at the ideas of electronic communications. specializes in easy matters, bearing on conception to perform at any place attainable. various examples, labored out intimately, were integrated to assist the reader boost an intuitive seize of the speculation. subject matters lined comprise the sampling strategy, electronic modulation innovations, error-control coding, powerful quantization for pulse-code modulation, coding speech at low bit radio, details theoretic thoughts, coding and machine verbal exchange. as the booklet covers a vast variety of issues in electronic communications, it may fulfill quite a few backgrounds and pursuits.

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2. If a signal is strictly limited in frequency, then the time-domain description of the signal will trail on indefinitely, even though its amplitude may assume a progressively smaller value. , strictly band limited) if its Fourier transform is exactly zero outside a finite band of frequencies. 4: part a shows that the sinc pulse is asymptotically limited in time and part b of the figure shows that the sinc pulse is indeed strictly band limited, thereby confirming statement 2. 3. , the signal is exactly zero outside a finite time interval), then the spectrum of the signal is infinite in extent, even though the magnitude spectrum may assume a progressively smaller value.

5. Appendices Last but by no means least, the book includes appendices to provide back-up material for different chapters in the book, as they are needed. Notes 1. For a detailed discussion on communication networks, see the classic book by Tanenbaum, entitled Computer Networks (2003). 2. The OSI reference model was developed by a subcommittee of the International Organization for Standardization (ISO) in 1977. For a discussion of the principles involved in arriving at the seven layers of the OSI model and a description of the layers themselves, see Tanenbaum (2003).

Area under G(f) g( 0) = 8. Differentiation in the time domain d---g ( t ) ⇌ j2πfG ( f ) dt 9. Integration in the time domain –∞ g ( τ )d τ ∞ ∞ –∞ G ( f )df t 10. Conjugate functions = G(0) 1 G(0) ⇌ ---------- G ( f ) + ------------ δ ( f ) j2πf 2 If g ( t ) ⇌ G ( f ) , * then g * ( t ) ⇌ G ( – f ) ∞ –∞ G1 ( λ )G2 ( f – λ )d λ 11. Multiplication in the time domain g 1 ( t )g 2 ( t ) ⇌ 12. Convolution in the time domain –∞ g1 ( τ )g2 ( t – τ )d τ 13. Correlation theorem –∞ g1 ( t )g*2 ( t – τ )d τ 14.

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