signals detection

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    SIGNALS DETECTION1. TEMPLATE MATCHING

    2. CORRELATION S IGNALS DETECTION2. CORRELATION S IGNALS DETECTION

    3. INVARIANT CORRELATION3. INVARIANT CORRELATION

    RECOGNITIONRECOGNITION

    4. SIGNALS DETECTION BASED ON THE

    MOMENT FEATURES CALCULATION

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    TEMPLATE MATCHING

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    TEMPLATE MATCHING

    The mean-square difference or error

    A template match exists at coordinate m!n" if#

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    TEMPLATE MATCHING

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    TEMPLATE MATCHING

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    CORRELATION SIGNALS DETECTIONCORRELATION SIGNALS DETECTION

    1.1. The Fourier spectrum of the input signal P(x,y)The Fourier spectrum of the input signal P(x,y)is formed:is formed:

    PPx,yx,y PP SSu,vu,v =FF{PPx,yx,y}}!!..

    !. The signal P!. The signal PSS(u,v) is segmented on the(u,v) is segmented on the"rightness, #hich allo#s to avoid the influence"rightness, #hich allo#s to avoid the influenceof the noise:of the noise:

    PPSSu,vu,v PP S$S$u,v).u,v).

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    CORRELATION SIGNALS DETECTIONCORRELATION SIGNALS DETECTION

    %. The correlation functions are calculated:%. The correlation functions are calculated:

    &&

    ''((((

    ,,

    )maxmax*)maxmax*

    PPS$S$(u,v)(u,v)

    ++S$S$(u-(u-

    ,v-,v-

    )dudv,)dudv,

    - - 1 1

    #here#here

    - the correlation field, &-the num"er- the correlation field, &-the num"erof standardsof standards

    . The classification of the signal is carry out. The classification of the signal is carry out

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    INVARIANT CORRELATION RECOGNITIONINVARIANT CORRELATION RECOGNITION

    1. The Fourier spectrum of the input signal P(x,y) is forming,1. The Fourier spectrum of the input signal P(x,y) is forming,that allo#s to center the signal:that allo#s to center the signal:

    PPx,yx,y FTFT{PPx,yx,y}}!! PPSSu,vu,v

    !. The operation of P!. The operation of PSS(u, v) segmentation is reali/ing #ith the(u, v) segmentation is reali/ing #ith theaim of noise removing:aim of noise removing:

    PPSS

    u,vu,v

    P

    P

    S$S$

    u,vu,v

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    INVARIANT CORRELATION RECOGNITIONINVARIANT CORRELATION RECOGNITION

    %. The coordonate transformation of P%. The coordonate transformation of PS$0S$0(u,v) is(u,v) isreali/ing:reali/ing:

    PPS$S$u,vu,v PP S$S$uu11,v,v11,,

    #here u#here u11=arctgarctgvuvu, v, v11ln*(u2v)ln*(u2v)1 !1 !3.3.

    . The image P. The image PS$S$(u(u11vv11) recognition is reali/ing:) recognition is reali/ing:

    &&

    ''((4,54,5 =max maxmax max {66P66PS$S$uu11,v,v117+7+S$(S$((u(u114,v4,v115)du5)du11dvdv11

    8 8 =11

    9. The classification of the signal is carry out9. The classification of the signal is carry out

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    $% Geometrical S&' are calculated#

    SIGNALS DETECTION (ASED ON T)E

    &O&ENT 'EAT*+ES CLASSI'ICATION

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    ,% The inds of si.nals distortions are defined

    SIGNALS DETECTION (ASED ON T)E

    &O&ENT 'EAT*+ES CLASSI'ICATION

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    SIGNALS DETECTION (ASED ON T)E

    &O&ENT 'EAT*+ES CLASSI'ICATION

    /% The normali0ation of the si.nal 1+x$2!3$2" is executed

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    SIGNALS DETECTION (ASED ON T)E

    &O&ENT 'EAT*+ES CLASSI'ICATION

    4% The .eometrical S&' of 14% The .eometrical S&' of 1NNxx,,!3!3,,"! are calculated#"! are calculated#

    5% The classification of si.nal is carr3in. out#

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    T)E S6STE&T)E S6STE&

    'O+ SIGNALS DETECTION'O+ SIGNALS DETECTION