On Theoretical Signal‐to‐Noise Ratios in F‐M Receivers: A Comparison with Amplitude Modulation

Signal‐to‐noise ratios at the output of an f‐m receiver are determined as functions of the input signal‐to‐noise ratio, clipping level, and i‐f and audio filter characteristics when random (fluctuation) noise accompanies the signal to be observed. Both narrow and broad band f‐m are examined. Specific calculations are made for sinusoidal frequency modulation, and it is indicated how data for this simple type of signal may be related to the more complex phenomenon of speech. The concept of the signal‐to‐noise ratio is redefined to describe more accurately the sensing of a signal in noise, since the conventional definition for f‐m proves inadequate and misleading, except for strong carriers. Extensive comparisons are made with a‐m reception employing a half‐wave linear rectifier, and it is found that for moderate and weak (<3 db) signals a‐m requires less input signal power against the same noise background than does f‐m to achieve the same desired output. This is particularly evident for weak signals. Only ...

[1]  M. Crosby Frequency Modulation Noise Characteristics , 1937, Proceedings of the Institute of Radio Engineers.

[2]  J. R. Carson,et al.  Variable frequency electric circuit theory with application to the theory of frequency-modulation , 1937 .

[3]  S. Rice Mathematical analysis of random noise , 1944 .

[4]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion II , 1945 .

[5]  D. Middleton,et al.  The Response of Biased, Saturated Linear and Quadratic Rectifiers to Random Noise , 1946 .

[6]  J. V. Vleck,et al.  A Theoretical Comparison of the Visual, Aural, and Meter Reception of Pulsed Signals in the Presence of Noise , 1946 .

[7]  Balth. van der Pol,et al.  The Fundamental Principles of Frequency Modulation , 1946 .

[8]  Effects of Impulsive Interference upon A‐M Voice Communication , 1947 .

[9]  M. Kac,et al.  On the Theory of Noise in Radio Receivers with Square Law Detectors , 1947 .

[10]  S. O. Rice,et al.  Statistical properties of a sine wave plus random noise , 1948, Bell Syst. Tech. J..

[11]  D. Middleton,et al.  Some general results in the theory of noise through non-linear devices , 1948 .

[12]  D. Middleton Rectification of a Sinusoidally Modulated Carrier in the Presence of Noise , 1948, Proceedings of the IRE.

[13]  D. Middleton Spurious Signals Caused by Noise in Triggered Circuits , 1948 .

[14]  David J. Middleton The spectrum of frequency-modulated waves fter reception in random noise-II , 1949 .

[15]  Nelson M. Blachman The Demodulation of an F‐M Carrier and Random Noise by a Limiter and Discriminator , 1949 .