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Signal parameterizer

  • US 5,034,911 A
  • Filed: 01/22/1990
  • Issued: 07/23/1991
  • Est. Priority Date: 04/11/1988
  • Status: Expired due to Fees
First Claim
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1. Apparatus for parameterizing a digital input signal which is the sum of N unrelated sine wave signals of various frequencies, ω

  • m, amplitudes, Am, and phases Bm where m=1·

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    N, said apparatus comprising;

    first data storage means for storing samples Yt ·

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    Yt-(3N-1)h of the digital input signal representing samples at time, t, from the most recent to the oldest sample where h= the time interval between samples,weighted adder means coupled to the first data storage means for receiving the stored samples and calculating a matrix of row and column component signals, CnK, by adding selected ones of the stored samples, Yt ·

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    Yt-(3N-1)h, with a weighting function according to the equation ##EQU27## where n=1·

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    N rows, K=1·

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    N+1 columns, h= time interval between samples and l= a column between O and K, to obtain the matrix array of signals ##EQU28## a first matrix inverter coupled to the weighted adder means for receiving the CnK row and column signals and generating signals representing a set of symmetrical polynomials, {σ

    m }, according to the equation ##EQU29## , with each polynomial having coefficients, Zm, representing the cosines of the N frequency components of the input signal,a polynomial solver coupled to the first matrix inverter for receiving the signals representing the set of symmetrical polynomials, {σ

    m }, and calculating the roots of each polynomial according to the equation ##EQU30## to obtain signals representing the cosine frequency components, Zm, where Zm =cosine ω

    m h and M= the input signal frequency component between 1 and N, anda function inverter coupled to the polynomial solver for calculating the frequency, ω

    m, of each of the N unknown input sine waves for each of the digital signal samples according to the equation ##EQU31##

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