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Multi-frequency receiver with arbitrary center frequencies

  • US 5,477,465 A
  • Filed: 08/31/1993
  • Issued: 12/19/1995
  • Est. Priority Date: 08/31/1993
  • Status: Expired due to Fees
First Claim
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1. A multi-frequency receiver for receiving an incoming analog signal x(t) and for determining the presence of any of a plurality of m known frequencies fi, i=1, 2, . . . , m, in the incoming analog signal, said receiver comprising:

  • a. a detector for detecting the incoming analog signal;

    b. an analog to digital converter for converting the detected incoming analog signal into a digital signal x(n) at a sampling frequency fS ; and

    c. a digital signal processor for analyzing the digital signal, said processor executing a software program implementing;

    i. means for defining a plurality of m frequency bands, each frequency band having a center frequency equal to one of the known frequencies fi to be detected;

    ii. means for calculating a spectral energy |X(fi)|2 within each frequency band according to the following algorithm;

    
    
    space="preserve" listing-type="equation">Q.sub.i (n)=2C.sub.i Q.sub.i (n-1)-Q.sub.i (n-2)+x(n) where Ci =cos (2π

    fi /fS), Qi (-1)=Qi (-2)=0, N is a preselected data length and n=0, 1, 2, . . . , N-1; and

    
    
    space="preserve" listing-type="equation">|X(f.sub.i)|.sup.2 =Q.sub.i (N-1).sup.2 +Q.sub.i (N-2).sup.2 -2C.sub.i Q.sub.i (N-1)Q.sub.i (N-2);

    andiii. decision logic for comparing the calculated spectral energy of each band to a predefined threshold for determining the presence of any of the m known frequencies fi in the incoming analog signal.

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