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Abstract

The transmission of constants a x (j) by a system of orthogonal functions {f(j,θ)} has been discussed in the previous chapter. The transmission of time functions F(θ) or F x (θ) by means of a system of time functions {Φ(k,θ)} will be discussed now. These functions Φ(κ, θ) will be called carriers. F(θ) denotes any time function, e.g., the output voltage of a microphone. The notation F x (θ) is used to emphasize time functions that contain a finite number of coefficients a x (j), such as teletype signals:

$$\mathop F\nolimits_x (\theta ) = \sum\limits_{j = 0}^{m - 1} {\mathop a\nolimits_x } (j)f(j,\theta )$$

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Harmuth, H.F. (1972). Carrier Transmission of Signals. In: Transmission of Information by Orthogonal Functions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61974-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-61974-8_5

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