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Serial-access linear transform

  • US 3,900,721 A
  • Filed: 02/14/1974
  • Issued: 08/19/1975
  • Est. Priority Date: 02/14/1974
  • Status: Expired due to Term
First Claim
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1. A serial-access linear transform apparatus, suitable for signal processing systems requiring the rapid generation of linear transforms of a spatial or temporal signal, where the transform is in sampled form consisting of a series of N-sample terms, and where the signal consists of a series of N-sample pulses, comprising:

  • a data source, for providing the signal which is to be processed into a linear transform, the output of the data source being the function g(t);

    a first function generator, which generates a function a(t);

    an input multiplier, whose two inputs are the outputs, g(t) and a(t), of the data source and the first function generator, for multiplying the two inputs, the output of the multiplier being a(t)g(t);

    a linear filter having an impulse response b(t), whose input is the output signal, a(t)g(t), of the input multiplier and whose output is the signal integral a(u)g(u) b(- u) du;

    a second function generator, which generates the function c(t);

    an output multiplier, whose inputs are the outputs of the linear filter and of the second function generator, and whose output is the desired sequence of terms of the linear transform, namely integral (a(u)b(t-u)c(t))g(u) du.

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