Computation of FM Distortion in Linear Networks for Bandlimited Periodic Signals

Ruthroff, C. L.

doi:10.1002/j.1538-7305.1968.tb00072.x

Cited by 21 publications

(5 citation statements)

References 9 publications

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“…The simulation results reported have been obtained from M = 100 Monte Carlo trials with N =100 tones. This guarantees both statistical properties of (2) close to those of Gaussian noise [5] and good convergence of the Monte Carlo method [6]. The simulated conditions are as follows: The carrier is tuned to the loop quiescent frequency, c /W = 70 , and the control characteristic of the voltage-controlled oscillator is linear.…”

Section: Simulation Resultsmentioning

confidence: 95%

“…In practice, the input bandwidth should be as narrow as possible in order to filter the RF noise. A lower bound on the input bandwidth [6]…”

Section: Simulation Resultsmentioning

confidence: 99%

“…and the coefficients F n c ,G n c , F n s ,G n s are given in [5]. In (6), k t ( ) changes by +(-)1 when the…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

“…Finally, the distorted frequency modulation ˙ t ( ) of the filtered FM signal has been obtained analytically by differentiating (6). The AWGN filtered by the bandpass filter in front of the PLL FM demodulator has been considered as narrowband Gaussian process with sample function n t…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

“…Both the noise-free and the noise performance measures of the PLL FM demodulator are evaluated using the Monte Carlo simulation. The modulating baseband Gaussian signal is simulated by a sum of N sine waves of equally spaced frequencies and random phases [5], [6]. The FM signal filtered by the bandpass filter is derived using the (within the limits of computational accuracy) exact Fourier method [5].…”

Section: Introductionmentioning

confidence: 99%

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PLL FM demodulator performance under Gaussian modulation

Hasan

1998

IEEE Trans. Commun.

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A widespread test of the PLL FM demodulator under Gaussian modulation is simulated using the Monte Carlo method. Unified noise-free and noise performance analyses of the PLL FM demodulator are presented. Substantial reduction of the modulation limit by the input bandpass filter is reported in the region of the input bandwidth of practical interest. Bessel bandpass filters of order greater than two are shown to compare favorably with Butterworth filters in front of the PLL FM demodulator relative to the IM distortion. A lower bound on the loop noise bandwidth is found by minimizing the output click rate for given IM distortion specifications. FM threshold of 4 dB and 7 dB for the rms frequency deviation-to-message bandwidth ratio 0.1 and 1.0, respectively, is reported on the worst-case IM distortion of 45 dB.

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Section: Simulation Resultsmentioning

confidence: 95%

“…In practice, the input bandwidth should be as narrow as possible in order to filter the RF noise. A lower bound on the input bandwidth [6]…”

Section: Simulation Resultsmentioning

confidence: 99%

“…and the coefficients F n c ,G n c , F n s ,G n s are given in [5]. In (6), k t ( ) changes by +(-)1 when the…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Section: Monte Carlo Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

PLL FM demodulator performance under Gaussian modulation

Hasan

1998

IEEE Trans. Commun.

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Second and Third Order Modulation Terms in the Distortion Produced when Noise Modulated FM Waves are Filtered

Rice¹

1969

Bell System Technical Journal

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This paper is concerned with the distortion produced in a frequency modulation wave when it passes through a filter. The phase or frequency modulation representing the signal is assumed to be a band of gaussian noise. The main result is an expression for the power spectrum Wθ of the output phase angle θ(t). This expression holds for any filter, contains all of the distortion terms due to second and third order modulation, and is suited to computer evaluation. It is useful in many cases, but it has the shortcoming of not containing any modulation terms higher than the third order. A second result is an approximation to Wθ(f), based on log (1 + x) ∼ x {that is, a “first‐order” approximation), which is encountered in the derivation of the main result. Although it does not contain all of the second and third order modulation terms, it does contain higher order modulation terms which may give most of the distortion in some cases. The results given here are compared with those obtained earlier.

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Short Hop Radio System Experiment

Ruthroff¹,

Osborne²,

Bodtmann³

1969

Bell System Technical Journal

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This paper reports a two‐hop system experiment, designed to demonstrate the viability of the concept described in previous papers. A single RF channel, instrumented in the 11 GHz common carrier band, is transmitted from a terminal to a repeater one and a half miles away. After passing through the repeater, the signal is transmitted back to the terminal. We discuss the system parameters in relation to the requirements of operation at frequencies above 10 GHz; we also describe design, construction, and performance, as well as the lessons learned from one year of operation.

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Computation of FM Distortion in Linear Networks for Bandlimited Periodic Signals

Cited by 21 publications

References 9 publications

PLL FM demodulator performance under Gaussian modulation

PLL FM demodulator performance under Gaussian modulation

Second and Third Order Modulation Terms in the Distortion Produced when Noise Modulated FM Waves are Filtered

Short Hop Radio System Experiment

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