the preferred embodiments will be described with reference to the drawing figures where like numerals represent like elements throughout . a b - cdma ™ communication system 17 as shown in fig2 includes a transmitter 19 and a receiver 21 , which may reside in either a base station or a mobile user receiver . the transmitter 19 includes a signal processor 23 which encodes voice and nonvoice signals 25 into data at various bit rates . by way of background , two steps are involved in the generation of a transmitted signal in a multiple access environment . first , the input data which can be considered a bi - phase modulated signal is encoded using forward error - correcting coding ( fec ) 27 . one signal is designated the in - phase channel i 33 x . the other signal is designated the quadrature channel q 33 y . bi - phase modulated i and q signals are usually referred to as quadrature phase shift keying ( qpsk ). in the second step , the two bi - phase modulated data or symbols 33 x , 33 y are spread with a complex , pseudo - noise ( pn ) sequence 35 i , 35 q using a complex number multiplier 39 . the operation of a complex number multiplier 39 is shown in fig2 b and is well understood in the art . the spreading operation can be represented as : ( x + jy )×( i + jq )=( xi − yq )+ j ( xq + yi )= a + jb . equation ( 1 ) a complex number is in the form a + jb , where a and b are real numbers and j 2 =− 1 . referring back to fig2 a , the resulting i 37 a and q 37 b spread signals are combined 45 a , 45 b with other spread signals ( channels ) having different spreading codes , multiplied ( mixed ) with a carrier signal 43 , and transmitted 47 . the transmission 47 may contain a plurality of individual signals . the receiver 21 includes a demodulator 49 a , 49 b which mixes down the transmitted broadband signal 47 with the transmitting carrier 43 into an intermediate carrier frequency 51 a , 51 b . a second down conversion reduces the signal to baseband . the qpsk signal 55 a , 55 b is then filtered 53 and mixed 56 with the locally generated complex pn sequence 35 i , 35 q which matches the conjugate of the transmitted complex code . only the original signals which were spread by the same code will be despread . all other signals will appear as noise to the receiver 21 . the data 57 x , 57 y is coupled to a signal processor 59 where fec decoding is performed on the convolutionally encoded data . as shown in fig3 a and 3b , a qpsk symbol consists of one bit each from both the in - phase ( i ) and quadrature ( q ) signals . the bits may represent a quantized version of an analog sample or digital data . it can be seen that symbol duration t s is equal to bit duration . the transmitted symbols are spread by multiplying the qpsk symbol stream by the complex pn sequence . both the i and q pn sequences are comprised of a bit stream generated at a much higher frequency , typically 100 to 200 times the symbol rate . one such pn sequence is shown in fig3 c . the complex pn sequence is mixed with the symbol bit stream producing the digital spread signal ( as previously discussed ). the components of the spread signal are known as chips having a much smaller duration t c . when the signal is received and demodulated , the baseband signal is at the chip level . when the i and q components of the signal are despread using the conjugate of the pn sequence used during spreading , the signal returns to the symbol level . the embodiments of the present invention are shown in fig4 , 5 and 7 . the global pilot signal cancellation system 61 embodiment is shown in fig4 . a received signal r is expressed as : where the received signal r is a complex number and is comprised of the pilot strength ∝ multiplied with the pilot code c p , summed with the traffic strength β multiplied with the traffic code c t , summed with random noise n . the noise n includes all received noise and interference including all other traffic signals . to cancel the global pilot signal from the received signal r , the system 61 must derive the signal strength of the pilot code ∝ where : since the global pilot is transmitted at a higher power level than a traffic signal . when the received signal r is summed over time , equation ( 2 ) becomes : referring to fig4 , the received baseband signal r is input 63 into the pilot signal cancellation system 61 and into a pilot despreader 65 which despreads the pilot signal from the received signal r . first mixer 67 despreads the received signal r by multiplying with the complex conjugate c p * 69 of the pilot pn code used during spreading yielding : a complex conjugate is one of a pair of complex numbers with identical real parts and with imaginary parts differing only in sign . the despread pilot signal 71 is coupled to a first sum and dump processor 73 where it is summed over time . the first sum and dump 73 output o sd1 is : where l is the product of the pilot spreading code c p and the complex conjugate of the pilot spreading code c p * summed over l chips . the sum and dump 73 output o sd1 is coupled to a low pass filter 75 . the low pass filter 75 determines the mean value for each signal component . the mean value for pilot - traffic cross - correlation is zero and so is the mean value of the noise n . therefore , after filtering 75 , the second and third terms in equation ( 6 ) become zero . the low pass filter 75 output o lpf over time is : the low pass filter 75 output o lpf is coupled to a processing means 77 to derive the pilot code strength ∝. the processing means 77 calculates ∝ by dividing the low pass filter 79 output o lpf by l . thus , the processing means 77 output o pm is : the pilot spreading code c p * complex conjugate generator 69 is coupled to a complex conjugate processor 79 yielding the pilot spreading code c p . the pilot spreading code c p is input to a second mixer 81 and mixed with the output of a traffic spreading code c t * complex conjugate generator 83 . the resulting product from the second mixer 81 output is coupled to a second sum and dump processor 85 . the output o sd2 of the second sum and dump processor 85 is γc p c t * and is combined with at a third mixer 87 . the third mixer 87 output 89 is ∝ γc p c t *. the received signal r is also despread by traffic despreader 91 . the traffic despreader 91 despreads the received signal r by mixing the received signal r with the traffic code c t * complex conjugate generator 83 using a fourth mixer 93 yielding : σ rc t *=∝ σc p c t *+ βσc t c t *+ σnc t *. equation ( 9 ) the traffic despreader 91 output 95 is coupled to a third sum and dump 97 . the third sum and dump 97 output o sd3 over time is : o sd3 = σrc t *= βl +∝ σc p c t *+ σnc t * equation ( 10 ) where l is the product of the traffic spreading code c t and the complex conjugate of the traffic spreading code c t * summed over l chips . the third sum and dump 97 output o sd3 is coupled to an adder 99 which subtracts the third mixer 87 output 89 . the adder 99 output o add is : o add = βl +∝ σc p c t *+ σnc t *−∝ σc p c t *. equation ( 11 ) thus , the pilot canceller 61 output o add is equal to the received signal r minus the pilot signal simplified below : the invention uses a similar approach to cancel unwanted traffic signal ( s ) from a desired traffic signal . while traffic signals are interference to other traffic signals just as the global pilot signal is , unwanted traffic signal cancellation differs from global pilot signal cancellation since a traffic signal is modulated by the data and is therefore dynamic in nature . a global pilot signal has a constant phase , whereas a traffic signal constantly changes phase due to data modulation . the traffic signal canceller system 101 embodiment is shown in fig5 . as above , a received signal r is input 103 to the system : where the received signal r is a complex number and is comprised of the traffic code signal strength θ multiplied with the traffic signal data d and the traffic code c d for the unwanted traffic signal to be canceled , summed with the desired traffic code strength β multiplied with the desired traffic code c t , summed with noise n . the noise n includes all received noise and interference including all other traffic signals and the global pilot signal . to cancel the unwanted traffic signal ( s ) from the received signal r , the system 101 must derive the signal strength of the unwanted traffic code θ to be subtracted and estimate the data d , where : when the received signal r is summed over time , equation 13 can be expressed as : referring to fig5 , the received baseband signal r is input 103 into the desired traffic signal despreader 91 which despreads the desired traffic signal from the received signal r . desired traffic signal mixer 93 mixes the received signal r with the complex conjugate c t * of the desired traffic pn code used during spreading . the despread traffic signal is coupled to a sum and dump processor 97 and summed over time . the sum and dump 97 output o sd3 is : o sd3 = σrc t *= βl + ψdσc d c t *+ σnc t *. equation ( 16 ) the traffic signal canceller system 101 shown in fig5 includes n unwanted traffic signal cancellers 115 1 - 115 n . an exemplary embodiment includes 10 ( where n = 10 ) unwanted traffic signal cancellers 115 1 - 115 10 . each unwanted traffic signal canceller 115 1 - 115 n comprises : an unwanted traffic signal despreader 139 1 - 139 n that includes a first mixer 117 1 - 117 n and an unwanted traffic signal code generator 119 1 - 119 n ; second 133 1 - 133 n mixer , first 121 1 - 121 n and second 123 1 - 123 n sum and dump processors , a hard decision processor 125 1 - 125 n , a low pass filter 127 1 - 127 n , a processing means 129 1 - 129 n , third mixer 131 1 - 131 n , a conjugate processor 135 1 - 135 n , an adjustable amplifier 137 1 - 137 n , and a desired traffic signal code generator 83 . as above , the received signal r is input 103 into each unwanted traffic canceller 115 1 - 115 n . the unwanted traffic signal despreader 139 1 - 139 n is coupled to the input 103 where the received signal r is mixed 117 i - 117 n with the complex conjugate c dl *− c dn * of the traffic pn sequence for each respective unwanted signal . the despread 139 1 - 139 n traffic signal is coupled to a first sum and dump processor 121 1 - 121 n where it is summed over time . the first sum and dump 121 1 - 121 n output o sd1n is : o sd1n σrc dn *= ψdl + βσc t c dn + σnc dn *. equation ( 17 ) where l is the product of the unwanted traffic signal spreading code c dn and c dn * is the complex conjugate of the unwanted traffic signal spreading code . the first sum and dump 121 1 - 121 n output o sd1n is coupled to the hard decision processor 125 1 - 125 n . the hard decision processor 125 1 - 125 n determines the phase shift ø in the data due to modulation . the hard decision processor 125 1 - 125 n also determines the qpsk constellation position d that is closest to the despread symbol value . as shown in fig6 , the hard decision processor 125 1 - 125 n compares a received symbol p o of a signal to the four qpsk constellation points x 1 , 1 , x − 1 , 1 , x − 1 , − 1 , x 1 , − 1 . it is necessary to examine each received symbol p o due to corruption during transmission 47 by noise and distortion , whether multipath or radio frequency . the hard decision processor computes the four distances d 1 , d 2 , d 3 , d 4 to each quadrant from the received symbol p o and chooses the shortest distance d 2 and assigns that symbol d location x − 1 , 1 . the hard decision processor also derotates ( rotates back ) the original signal coordinate p o by a phase amount ø that is equal to the phase corresponding to the selected symbol location x − 1 , 1 . the original symbol coordinate p o is discarded . the hard decision processor 125 1 - 125 n phase output ø is coupled to a low pass filter 127 1 - 127 n . over time , the low pass filter 127 1 - 127 n determines the mean value for each signal component . the mean value of the traffic - to - traffic cross - correlation and also the mean value of the noise n are zero . therefore , the low pass filter 127 1 - 127 n output o lpfn over time is : the low pass filter 127 1 - 127 n output o lpfn is coupled to the processing means 129 1 - 129 n to derive the unwanted traffic signal code strength θ . the processing means 129 1 - 129 n estimates ø by dividing the filter 127 1 - 127 n output o lpfn by l . the other hard decision processor 125 1 - 125 n output is data d . this is the data point d corresponding to the smallest of the distances d 1 , d 2 , d 3 , or d 4 as shown in fig6 . third mixer 131 1 - 131 n mixes the unwanted traffic signal strength θ with each data value d . the unwanted traffic signal spreading code complex conjugate generator c d1 *- c dn * is coupled to the complex conjugate processor 135 1 - 135 n yielding the unwanted traffic signal spreading code c d1 - c dn and is input to the second mixer 133 1 - 133 n and mixed with the output of desired traffic signal spreading code complex conjugate generator c t *. the product is coupled to the second sum and dump processor 123 1 - 123 n . the second sum and dump processor 123 1 - 123 n output o sd2n is γcd n c t * and is coupled to variable amplifier 137 1 - 137 n . variable amplifier 137 1 - 137 n amplifies the second sum and dump processor 123 1 - 123 n output o sd2n in accordance with the third mixer 131 1 - 131 n output which is the determined gain . the variable amplifier 137 1 - 137 n output 141 1 - 141 n is coupled to an adder 143 which subtracts the output from each variable amplifier 137 1 - 137 n from the output of the desired traffic signal despreader 115 . the output o is : the adder 143 output o ( also the unwanted traffic canceller system 101 output ) is equal to the received signal r minus the unwanted traffic signals simplified below : where the noise n varies depending on the amount of traffic signals subtracted from the received signal . another embodiment 145 canceling the global pilot signal and unwanted traffic signals is shown in fig7 . as previously discussed , the unwanted traffic cancellation system 101 includes the desired traffic signal despreader 91 and a plurality of unwanted traffic signal cancellers 115 1 - 115 n . the traffic cancellation system is coupled in parallel with the pilot cancellation system 61 previously described , but without a desired traffic signal despreader . a common input 147 is coupled to both systems 101 , 61 with a common adder 149 which is coupled to the outputs o , o add from both systems 101 , 61 . the pilot and unwanted traffic signals are subtracted from the desired traffic signal yielding an output 151 free of interference contributions by the pilot and plurality of transmitted traffic signals . while specific embodiments of the present invention have been shown and described , many modifications and variations could be made by one skilled in the art without departing from the spirit and scope of the invention . the above description serves to illustrate and not limit the particular form in any way .