text: in order to gain a better understanding of embodiments of the present invention , five main parts are described below — a first part discusses a two - dimensional ( 2d ) image processing method according to the present invention ; a second part discusses the basis of how the 2d image processing method is capable of solving the problem of formation of abnormal color blocks in a multi - burst pattern ; a third part discusses problems of the second 2d image processing method ; a fourth part discusses how to define a weight of a chromaticity ; and a fifth part discusses how to define a weight of a luminosity . according to an image processing method of the prior art , a single pixel is processed to calculate a chromaticity . however , according to an image processing method of the present invention , at least three pixels successively arranged in a same vertical line are processed to calculate a chromaticity . therefore , in the following description , the image processing method of the prior art is called a one - dimensional method , and the image processing method according to the present invention is called a 2d image processing method . the first part of discussing the 2d image processing method according to the present invention shall be described below . fig4 shows a block diagram of an image processing circuit 3 in accordance with a first embodiment of the present invention . the image processing circuit implementing the 2d image processing method according to the present invention comprises a receiving unit 30 , a vertical filter module 32 , a frequency demodulation module 34 and a chroma converting unit 36 . the vertical filter module 32 coupled to the receiving unit 30 filters out luma components of an image signal to retain a chroma signal . the frequency demodulation module 34 coupled to the vertical filter module 32 demodulates a chroma angular frequency of the chroma signal . the chroma converting unit 36 coupled to the frequency demodulation module 34 converts the chroma angular frequency to a chromaticity . the receiving unit 30 receives an image encoded according to the secam specification . the image at least comprises three pixels , which are successively arranged in a same vertical line and respectively corresponding to a first image signal s 1 , a second image signal s 2 and a third image signal s 3 . the vertical filter module 32 calculates a chroma signal according to the first image signal s 1 , the second image signal s 2 and the third image signal s 3 . the frequency demodulation module 34 calculates a chroma angular frequency according to the chroma signal , and the chroma converting unit 36 finds a first chromaticity v 1 corresponding to the chroma angular frequency . the vertical filter module 32 comprises a first multiplication unit 320 and an addition unit 322 . the first multiplication unit 320 respectively multiplies the first image signal s 1 , the second image signal s 2 and the third image signal s 3 by a first multiple , a second multiple and a third multiple . a sum of the first multiple , the second multiple and the third multiple is zero . the addition unit 322 coupled to the first multiplication unit 320 adds up the multiplied first image signal , the multiplied second image signal and the multiplied third image signal . since the sum of the first multiple , the second multiple and the third multiple is zero , a sum of the luma components is zero , thus filtering a chroma signal of the image signal . a signal based on the secam system has characteristics below . the signal comprises three successively , vertically arranged pixels , which respectively correspond to three image signals . among the three image signals , a difference π is present between a phase of one pixel and those of the other two pixels ( supposing that the three pixels have the same luminosity and chromaticity ). in order to better understand the foregoing description , a process flow of the vertical filter module 32 shall be discussed for example . the first image signal s 1 , the second image signal s 2 and the third image signal s 3 , corresponding to the three pixels successively arranged in the vertical line , are represented by : s 2 = y + sin [( ω c + δω )* t + φ 1 ], s 3 = y + sin [( ω c + δω )* t + φ 1 + π ]. the first multiplication unit 320 respectively multiplies s 1 , s 2 and s 3 by the first multiple n 1 , the second multiple n 2 and the third multiple n 3 to obtain three products to be added up by the addition unit 322 , where a sum of n 1 , n 2 and n 3 is zero . the sum added up by the addition unit 322 is represented by : n 1 * s 1 + n 2 * s 2 + n 3 * s 3 = y *( n 1 + n 2 + n 3 )+ n 1 * sin [( ω c + δω )* t + φ 1 ]+ n 2 * sin [( ω c + δω )* t + φ 1 ]+ n 3 * sin [( ω c + δω ) t + φ 1 + π ]= y ( n 1 + n 2 + n 3 )+( n 1 + n 2 − n 3 ) sin [( ω c + δω )* t + φ 1 ], where the first item y *( n 1 + n 2 + n 3 ) is equal to zero , meaning that the luma components are filtered out , whereas the other item ( n 1 + n 2 − n 3 ) sin [( ω c + δω )* t + φ 1 ] is not equal to zero , meaning that the chroma signal is retained . therefore , the vertical filter module 32 filters to effectively retain the chroma signal in the image signal , and the chroma signal is called a first chroma signal in the following description . the first chroma signal filtered from the vertical filter module 32 is transmitted to the frequency demodulation module 34 for demodulating a first chroma angular frequency ( δω ) of the first chroma signal . operation principle of the frequency demodulation module 34 is identical to that of the frequency demodulation module 14 and shall not be further disclosed for brevity . it is to be noted that , on the basis of continuous variation in a phase angle , an absolute value of δω is no more than π ( 180 degrees ), such that a difference between two phrases corresponding to two pixels lies between π to − π . in other words , 2π is to be subtracted from the difference greater than π , and 2π is to be added to the difference smaller than − π . the foregoing description discloses the image processing circuit and the image processing method applied by the image processing circuit according to the present invention . next , the reason why abnormal color blocks in a multi - bursting pattern are resulted from using the one - dimensional image processing method but not from the 2d image processing method according to the present invention shall be described below . the second part discusses how the problem of formation of abnormal color blocks in a multi - burst pattern by using the 2d image processing method is solved . for example , in a black and white multi - burst pattern , a target image signal s ′ is : for that the black and white multi - burst patter does not contain other colors , the chroma angular frequency δω representing chroma is zero and y representing luma components varies at a predetermined frequency in the multi - burst pattern . in this embodiment , the luma components oscillate at an angular frequency ω c + ω close to the carrier angular frequency ω c , where δω represents a small angular frequency difference . generally , the luma components being low - frequency have frequencies much lower than the carrier angular frequency ω c , in a way that a conventional filter unit 11 illustrated in fig2 is capable of filtering out the luma components by filtering in conjunction with a predetermined frequency range . however , when the oscillating angular frequencies of the luma components get too close to the carrier angular frequency ω c , the conventional filter unit 11 illustrated in fig2 becomes unable to effectively filter out the luma components . that is , the luma components oscillating at the predetermined oscillating angular frequency are mistaken for chroma components , which shall create abnormal color blocks in the black and white multi - burst pattern as illustrated in fig3 b . with respect to the multi - burst pattern , the vertical filter module 32 of the image processing circuit 3 applies characteristics of the secam system to filter luma components rather than applying the frequency filter approach . therefore , the image processing circuit according to the present invention is capable of effectively processing oscillating luma components so that abnormal color blocks in a black and white multi - burst pattern are not formed after decoding . the third part discusses problems of the 2d image processing method . the image processing image method may generate undesirable results when implementing the image processing circuit 3 illustrated in fig4 in two situations : ( a ) cross - chroma areas and ( b ) a non - uniform color distribution , both of which shall be described below . the situation ( a ) is to be discussed with reference to fig5 . in the foregoing 2d image processing method , it is a prerequisite that three pixels successively arranged in a vertical line oscillate at a same frequency . however , in the situation ( a ) of cross - chroma areas , an edge of the area intercepts the three successive pixels , and thus one of the pixels has an angular oscillating frequency different from those of the other two pixels . for example , the second pixel and the third pixel , from the three successively arranged pixels , are located in different chroma areas . accordingly , image signals s 1 ′, s 2 ′ and s 3 ′ of the first , second and third pixels are respectively represented by : s 1 ′= y + sin [( ω c + δω 1 )* t + φ 1 ], s 2 ′= y + sin [( ω c + δω 1 )* t + φ 1 ], s 3 ′= y + sin [( ω c + δω 2 )* t + φ 1 + π ], the vertical filter module 32 calculates and generates an item sin [( ω c + δω 1 )* t ]+ sin [( ω c + δω 2 )* t ], which is equal to signals having oscillating frequencies ω c + δω 1 and ω c + δω 2 . moreover , the chromaticity calculated by the frequency demodulation module 34 and the chroma converting unit 36 illustrated in fig4 is a result of mixing colors corresponding to δω 1 and δω 2 but not colors corresponding to δω 1 or δω 2 . that is , in the situation ( a ) of cross - chroma areas , a color different from two adjacent chroma areas is decoded and a color block is formed at the edge of chroma areas as illustrated in fig5 . fig5 shows an abnormal color block 22 being formed at the edge between two adjacent chroma areas having different chromaticities . referring to fig6 , the situation ( b ) of a non - uniform color distribution is to be discussed . according to the foregoing 2d image processing method , it is a prerequisite that , among three image signals corresponding to three successively arranged pixels , a difference π is present between a phase of one pixel and those of the other two pixels , which is a characteristic of the secam system . however , when a front - end of a horizontal scan line has a non - uniform color distribution such as a color distribution at the left part shown in fig6 , an additional phase difference is created . for example , images signals s 1 ″, s 2 ″ and s 3 ″ respectively corresponding to first , second and third horizontal scan line are represented by : where + π is a phase difference defined in the secam specification , and φ 1 , φ 2 and φ 3 are phase differences resulting from the non - uniform color distribution at the front - end . therefore , the phase differences of the image signals corresponding to the successively arranged pixels are not simply equal to the difference π . suppose that a phase difference between φ 1 , φ 2 and φ 3 + π is zero . the phase difference is transmitted to the vertical filter module 32 illustrated in fig4 to output a result of zero regarded as a signal represented by sin [( ω c +(− ω c ))* t ]. that is , an absolute value of the chroma angular frequency is equal to the carrier angular frequency ; however , the chroma frequency is in fact not equal to the carrier frequency . according to a secam check table of chroma frequencies and chromaticities ( colors ), δω =− ω c corresponds to crimson . in conclusion , referring to fig6 , unexpected colors may be calculated and rendered according to the 2d image processing method . fig6 shows horizontally adjacent chroma areas with different chromaticities , and colors of the left side are non - uniformly distributed , such that abnormal blocks 24 result at the adjoining edge of the horizontally adjacent chroma areas . the fourth part discusses defining a weight of a chromaticity . in order to solve image processing problems encountered in the situation ( a ) and the situation ( b ), an approach of involving weights is defined . more particularly , referring to fig7 a , a same image is processed via a 2d image processing method ( i . e ., using a vertical filter module 52 , a frequency demodulation module 54 and a chroma converting unit 58 ) to obtain a first chromaticity , and via a one - dimensional image processing method ( i . e ., using a band - pass filter unit 51 , a frequency demodulation module 54 and a chroma converting unit 58 ) to obtain a second chromaticity . after that , the first chromaticity and the second chromaticity are respectively multiplied by a first weight and a second weight to calculate a representative chromaticity . by adjusting the first weight and the second weight , importance of the first chromaticity and the second chromaticity is defined . accordingly , the image processing method according to an embodiment of the present invention may be applied to different color display situations , thereby rendering better application flexibility to the image processing method according to the invention . referring to fig7 a , an image processing circuit 5 comprises a chroma weight module 56 coupled to the chroma converting unit 58 . the chroma weight module 56 respectively multiplies a first chromaticity v 1 and a second chromaticity v 2 by the first weight and the second weight to calculate a representative chromaticity v 0 . the chroma weight module 56 comprises a first defining unit 560 , a second defining unit 562 and a third defining unit 564 . a chromaticity is weighted with respect to different situations , and a detailed flow thereof shall be described below . according to the description of a non - uniform color distribution in the abovementioned third part , an angular frequency difference between a first chroma angular frequency calculated in the 2d image processing method and a carrier angular frequency based on the secam system may be rather large , and thus the first defining unit 560 properly reduces the first weight and increases the second weight for such situation . that is , when the angular frequency difference between the first chroma angular frequency and the carrier angular frequency based on the secam system is rather large , an undesirable effect may be resulted according to the 2d image processing method . therefore , the 2d image processing method according to an embodiment of the present invention is incorporated with the one - dimensional image processing method to gain a better effect . according to the foregoing description , the first defining unit 560 determines whether the first chroma angular frequency is greater than a predetermined threshold . when the answer is yes , the first weight is defined as being smaller than the second weight ; otherwise , the first weight is defined as being greater than the second weight . an image received by a receiving unit 50 further comprises a fourth pixel and a fifth pixel . further , in a vertical direction , the fourth pixel , the first pixel , the second pixel , the third pixel , and the fifth pixel , successively arranged downwards , respectively corresponds to a fourth image signal , the first image signal , the second image signal , the third image signal and a fifth image signal . the vertical filter module 52 , the frequency demodulation module 54 and the chroma converting unit 58 calculates a third chromaticity v 3 according to the fourth , the first and the second image signals , and calculates a fourth chromaticity v 4 according to the second , the third and the fifth image signals . the image processing circuit 5 further comprises a chroma edge detecting module 55 coupled to the chroma converting unit 58 . the chroma edge detecting module 55 calculates a chroma edge intensity ( i . e ., chromaticity difference ) according to the third chromaticity v 3 , the first chromaticity v 1 and the fourth chromaticity v 4 , which are outputted by the chroma converting unit 58 . the second defining unit 562 of the chroma weight module 56 coupled to the chroma edge detecting module 55 defines the first and second weights for calculating the representative chromaticity v 0 according to the chroma edge intensity outputted by the chroma edge detecting module 55 . logically , when a chroma edge is present between the first pixel , the second pixel and the third pixel , it means a significant difference exists between two chromaticities among the first chromaticity v 1 , the third chromaticity v 3 and the fourth chromaticity v 4 . therefore , according to the present invention , the chroma edge intensity ( chromaticity difference ) is used for determining whether an edge of a chroma area is present . the calculation of the chroma edge intensity is described below . the chroma edge detecting module 55 comprises a first subtraction unit 550 , and a first determining unit 552 coupled to the first subtraction unit 550 . the first subtraction unit 550 subtracts the first chromaticity v 1 from the third chromaticity v 3 to calculate a first chromaticity difference , and subtracts the first chromaticity v 1 from the fourth chromaticity v 4 to calculate a second chromaticity difference . the first determining unit 552 determines whether an absolute value of the first chromaticity difference is greater than that of the second chromaticity difference . when the answer is yes , the first determining unit 552 defines the chroma edge intensity as the absolute value of the first chromaticity difference . when the answer is no , the first determining unit 552 defines the chroma edge intensity as the absolute value of the second chromaticity difference . when two vertically arranged pixels arranged belong to different chroma areas , a difference may exist between chromaticities corresponding to the pixels . therefore , the second defining unit 562 identifies whether the pixels are located at a cross - chroma area according to the chroma edge intensity . accordingly , the second defining unit 562 defines the first weight and the second weight according to the chroma edge intensity ( chromaticity difference ). for example , when the chroma edge intensity is the absolute value of the first chromaticity difference and is greater than a predetermined threshold , it is rather possible that a chroma area edge exists between the first pixel and the third pixel . therefore , the first chromaticity v 1 calculated according to the 2d image processing method is given a lower weight . in addition to identifying the chroma edge , a luma edge is also taken into consideration according to the present invention . referring to fig7 a , the image processing circuit 5 further comprises a first notch filter unit 53 coupled to the receiving unit 50 , and a luma edge detecting module 57 coupled to the first notch filter unit 53 . the first notch filter unit 53 processes the first image signal , the second image signal and the third image signal to calculate a first luminosity y 1 corresponding to the first pixel , a second luminosity y 2 corresponding to the second pixel , and a third luminosity y 3 corresponding to the third pixel . referring to fig7 b , a curve 62 and a curve 64 respectively represent luma components and chroma components of image signals , a dashed line 66 indicates that the first notch filter unit 53 retains most of low frequency signals ( i . e ., the luma components ) and filters outs signals within a frequency range whose center is a carrier angular frequency ω c ( i . e ., the chroma components ). the luma edge detecting module 57 calculates a luma edge intensity according to the first luminosity y 1 , the second luminosity y 2 and the third luminosity y 3 , which are outputted by the first notch filter unit 53 . the chroma weight module 56 comprising the third defining unit 564 is coupled to the luma edge detecting module 57 . the third defining unit 564 defines the first and second weights for calculating the representative chromaticity v 0 . the luma edge detecting module 57 calculates the luma edge intensity via a second subtraction unit 570 and a second determining unit 572 coupled to the second subtraction unit 570 . the second subtraction unit 570 subtracts the second luminosity y 2 from the first luminosity y 1 to calculate a first luminosity difference , and subtracts the second luminosity y 2 from the third luminosity y 3 to calculate a second luminosity difference . the second determining unit 572 determines whether an absolute value of the first luminosity difference is greater than that of the second luminosity difference . when the answer is yes , the second determining unit 572 defines the luma edge intensity as the absolute value of the first luminosity difference . when the answer is no , the second determining unit 572 defines the luma edge intensity as the absolute value of the second luminosity difference . when two vertically arranged pixels belong to different luma areas , a difference may exist between luminosities corresponding to the pixels . therefore , the third defining unit 564 identifies whether a cross - luma area is present according to the luma edge intensity . for example , when the luma edge intensity is the absolute value of the first luminosity difference and is greater than a predetermined threshold , it is rather possible that a luma area edge exists between the first pixel and the third pixel . therefore , the first chromaticity v 1 calculated according to the 2d image processing method is given a lower weight . the fifth part discusses how to define a weight of a luminosity . reference may also be made to the above - mentioned description of calculating a chromaticity and defining a weight of a chromaticity . with respect to a notch filtering process for filtering luma components , a similar weight conception may be used for defining a filtering frequency range . in order to gain better a luma performance , an image processing circuit 7 is provided according to the present invention . referring to fig8 , the image processing circuit 7 comprises a second notch filter unit 75 , a third notch filter unit 77 and a luma weight module 76 . the second notch filter unit 75 and the third notch filter unit 77 are coupled to a receiving unit 70 , and the luma weight module 76 is coupled to the second notch filter unit 75 and the third notch filter unit 77 . the receiving unit 70 receives an image based on the secam specification . the image comprises a plurality of pixels at least comprising vertically , successively arranged a first pixel , a second pixel and a third pixel respectively corresponding to a first image signal , a second image signal and a third image signal . the second notch filter unit 75 and the third notch filter unit 77 regard one image signal from the first , the second and the third image signals as a target image signal , and process the target image signal respectively by using a first frequency range and a second frequency range , so as to respectively calculate a fourth luminosity y 4 and a fifth luminosity y 5 , where the second frequency range covers the first frequency range and is greater than the first frequency range . the luma weight module 76 adds up two products of multiplying the fourth luminosity y 4 by a third weight and multiplying the fifth luminosity y 5 by a fourth weight to calculate a representative luminosity y 0 corresponding to the target image signal . the luma weight module 76 obtains chromaticities via a one - dimensional image processing method and a 2d image processing method to define the third and fourth weights , and a detailed process flow thereof shall be described below . the image processing circuit 7 further comprises a chroma converting unit 79 , and a third subtraction unit 78 coupled to the chroma converting unit 79 . the third subtraction unit 78 subtracts the second chromaticity v 2 from the first chromaticity v 1 outputted by the chroma converting unit 79 to calculate a chromaticity difference . the luma weight module 76 , comprising a fourth defining unit 760 and being coupled to the third subtraction unit 78 , defines the third weight and the fourth weight according to an absolute value of the chromaticity difference outputted by the third subtraction unit 78 . for greater absolute values of the chromaticity difference , a narrower frequency range is applied so that the third weight is defined as being greater than the fourth weight ; for smaller absolute values of the chromaticity difference , a wider frequency range is applied so that the third weight is defined as being smaller than the fourth weight . in conclusion , as disclosed in the foregoing first part and the second part , abnormal color blocks , formed in a multi - burst pattern from applying a one - dimensional image processing method ( corresponding to the image processing circuit 1 illustrated in fig2 ) of the prior art , are avoided via a vertical filter calculation using a 2d image processing method ( corresponding to the image processing circuit 3 illustrated in fig3 ) according to an embodiment of the present invention . as disclosed in the foregoing third part and the fourth part , by defining weights , an image processing circuit such as the image processing circuit 5 illustrated in fig7 a properly gives a weight proportion to a first chromaticity and a second chromaticity , which are respectively calculated via the 2d image processing method according to an embodiment of the present invention and a conventional one - dimensional image method . therefore , for different color distribution situations , a reliable chromaticity is generated according to the present invention . as disclosed in the foregoing fifth part , an image processing circuit such as the image processing circuit 7 illustrated in fig8 determines a current color distribution according to a difference of a first chromaticity and a second chromaticity , so as to properly define a filtering frequency range for filtering luma components in a notch filtering process . therefore , in situations of different color distributions , an image processing circuit according to an embodiment of the present invention is capable of effectively separating chroma and luma components . while the invention has been described in terms of what is presently considered to be the most practical and preferred embodiments , it is to be understood that the invention needs not to be limited to the above embodiments . on the contrary , it is intended to cover various modifications and similar arrangements included within the spirit and scope of the appended claims which are to be accorded with the broadest interpretation so as to encompass all such modifications and similar structures .