By J. J. O’Reilly (auth.)
ISBN-10: 0442305923
ISBN-13: 9780442305925
ISBN-10: 9400955766
ISBN-13: 9789400955769
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Extra info for Telecommunication Principles
Example text
7 (once again, phase is neglected). The heights of the arrows represent the strengths of the various harmonic components - the amplitudes of the various cosinusoidal components comprising the complicated periodic waveform. This frequency domain representation is often called the spectrum of the signal; the various constituent frequency components are the spectral components or spectral lines. It was noted previously that it is common practice to view signals in the time domain using an oscilloscope.
That is, the transitions occur at Iu I = 112. Putting u = liT it is concluded that transitions occur at Iu I = II IIT = 112 ~ III = T12. Transitions occur at 1= ± T12 and the pulse is of width T. This is referred to as signal scaling on the time axis, or simply as time scaling. Amplitude scaling gives no difficulty. A rectangular pulse of height A is simply A rect(t). Consider a rectangular pulse signal of height A and duration T centred at a point in time t = 10 > T. Sketch the signal waveform in the time domain and obtain an analytic representation in terms of the rect( ) function.
Instead prototype signals with characteristics similar to those of the actual signals to be conveyed are used. For example, for speech telephony much useful analysis can be based on how a system responds to sinusoidal signals of different frequencies and amplitudes, while for data communication the response of a system to a single pulse may provide an insight into how the system responds to a message waveform corresponding to a sequence of 23 V(tl / -0 Vcos(2'nFt + qy, 0 1 + - - - - - - - - T = 1IF Fig.
Telecommunication Principles by J. J. O’Reilly (auth.)
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