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Sequency Filters for Time and Space Signals

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Transmission of Information by Orthogonal Functions

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Abstract

Figure 52 shows a circuit for the generation of periodically repeated Walsh functions cal(i, θ) and sal(i, θ). This circuit is based on the multiplication theorem of the functions wal(j, θ) as given by Eq. (1.1.4-3).

Generator for time variable Walsh functions using products of Rademacher functions. B, binary counter stage; x, multiplier = exclusive OR-gate; z, input for trigger pulses; n, input for reset pulses.

Binary counters B 1 to B 4 produce the functions wal(1, 0) = sal (1, 0), wal(3, 0) = sal(2, 0), wal(7,0) = sal(4, 0) and wal(15, 0) = sal(8, 0). The multipliers shown in Fig. 52 produce from these Rademacher functions the complete system of Walsh functions. wal(0, 0) is a constant positive voltage.

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Authors and Affiliations

  1. Department of Electrical Engineering, The Catholic University of America, Washington D.C., USA

    Dr. Henning F. Harmuth (Consulting Engineer and Adjunct Associate Professor)

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  1. Dr. Henning F. Harmuth
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© 1972 Springer-Verlag, Berlin · Heidelberg

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Harmuth, H.F. (1972). Sequency Filters for Time and Space Signals. In: Transmission of Information by Orthogonal Functions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61974-8_3

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  • DOI: https://doi.org/10.1007/978-3-642-61974-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-61976-2

  • Online ISBN: 978-3-642-61974-8

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