Communication Systems: An Introduction to Signals and Noise in Electrical Communication |
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Page 22
... power dissipated is x2 ( t ) . Likewise , the mean - square value ( x2 ( t ) ) is the average power . Even though the resistance may not be unity , we shall define P ( x2 ( t ) ) as average power measured on the basis of mean - square ...
... power dissipated is x2 ( t ) . Likewise , the mean - square value ( x2 ( t ) ) is the average power . Even though the resistance may not be unity , we shall define P ( x2 ( t ) ) as average power measured on the basis of mean - square ...
Page 53
... energy in frequency is described by the energy spectral density S ( f ) X ( f ) . Since the energy is finite , the power averaged over all time is zero . = 1 2. Signals of finite average power P = lim x ( t ) dt are represented T ...
... energy in frequency is described by the energy spectral density S ( f ) X ( f ) . Since the energy is finite , the power averaged over all time is zero . = 1 2. Signals of finite average power P = lim x ( t ) dt are represented T ...
Page 342
... average signal power is E S = | x | 2 = T 2BT Hence , the length of the signal vector is related to the average power by | x | = √2BTS = √DS ( 8.21 ) Generalizing this result , if a channel has an average power constraint and the ...
... average signal power is E S = | x | 2 = T 2BT Hence , the length of the signal vector is related to the average power by | x | = √2BTS = √DS ( 8.21 ) Generalizing this result , if a channel has an average power constraint and the ...
Contents
Introduction | 1 |
Signals and Spectra | 15 |
Signals and Linear Networks | 67 |
Copyright | |
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amplifier analysis approximately average power band bandlimited bandwidth baseband binary carrier frequency channel chap circuit communication systems components constant demodulator density function detection distortion electrical electron entropy envelope detector equivalent error probability example exponential modulation Fourier series gaussian Hence ideal impulse response input integration line spectrum linear modulation lowpass filter message band modulating signal narrowband noise power nonlinear phase shift phasor postdetection power spectrum predetection quantized random signals random variable receiver rectangular pulse resistor sample values shown in Fig signal x(t signal-to-noise ratio signaling speed sinusoidal spectra statistically independent symbols synchronous techniques temperature theorem theory threshold tion tone modulation transfer function transmission bandwidth two-port variations voltage waveform white noise xc(t zero