the present invention will now be described in detail with reference to the drawings . in the drawings , like reference numerals are used to refer to like elements throughout . referring to fig3 a block diagram of a first embodiment of a device 30 of this invention for recovering baseband i and q - signals from a frequency diverse quadrature amplitude modulated ( qam ) carrier is shown . device 30 includes analog front end 32 which includes known analog circuits tuned to the modulated carrier frequency for receiving a carrier signal from the transmission medium and amplifying such signal as appropriate for sampling by and converter 34 . in the preferred embodiment a / d converter 34 is an 10 - bit a / d converter . in this first embodiment , the a / d converter 34 is driven by a sampling clock signal 36 with a frequency that is four - times that of the modulated carrier frequency . the output of the a / d converter 34 is a digitized carrier signal 38 comprising a sequence of 10 - bit sample values at a sample frequency that is four - times that of the modulated carrier frequency ( e . g . a 7 mhz modulated carrier is sampled by an a / d converter clocked at 28 mhz such that the digitized carrier signal 38 is a sequence of sample values at a rate of 28 mhz ). the digitized carrier signal 38 is then processed by a demodulator 40 for recovery of the baseband i and q - signals 42 ( a ) and 42 ( b ), respectively , in accordance with a first embodiment of this invention . the demodulator 40 includes mixer 44 for separating the i and q - channels from the digitized carrier signal 38 . mixer 44 includes an i - channel mixer 48 ( a ) which mixes the digitized carrier signal 38 with a sequence of values representing a digitized sine wave 46 ( a ). in this first embodiment , the digitized sine wave 46 ( a ) has a frequency equal to the carrier frequency such that mixer 48 ( a ) mixes the digitized carrier signal 38 down to a frequency diverse baseband signal 50 ( a ). because the present invention uses digital signal processing , the digitized sine wave 46 ( a ) must be represented by a sequence of digital values clocked at the same frequency as the sample frequency ( e . g . four - times the modulated carrier frequency ) such that mixer 48 ( a ) is simply a multiplier . it should be appreciated that the digitized sine wave 46 ( a ) can be represented by a repetitive sequence of values [ 1 , 0 ,− 1 , 0 ] clocked at four - times the digitized sine wave 46 ( a ) frequency . as such , the dsp hardware for performing the multiplication can be significantly simplified . for example , in this first embodiment a 7 mhz modulated carrier is represented by a series of samples clocked at 28 mhz and is mixed down by mixing with a 7 mhz digitized sine wave represented by a repetitive sequence of [ 1 , 0 ,− 1 , 0 ] which is also clocked at 28 mhz . the frequency diverse baseband signal 50 ( a ) is input to a decimation filter 52 ( a ). the purpose of the decimation filter 52 ( a ) is to reduce the sample frequency and fold the three mutually exclusive sub - spectra 18 ( a )-( c ) ( fig2 ) to the baseband i - signal 42 ( a ). it should be appreciated that a sampling frequency that matches the frequency difference between the centers of the three sub - spectra 18 ( a )-( c ) ( fig2 ) will cause the folding the frequency diverse baseband signal 50 ( a ) into the baseband i - signal 42 ( a ). therefore , wherein the centers of the three sub - spectra 18 ( a ), 18 ( b ), and 18 ( c ) are at 5 mhz , 7 mhz , and 9 mhz respectively , a sampling frequency of 2 mhz will achieve the desired folding . as such , in the first embodiment wherein the frequency diverse baseband signal 50 ( a ) is a series of samples clocked at a 28 mhz sampling frequency and the sampling frequency needed for folding the three sub - spectra is a 2 mhz series of values , the decimation filter 52 ( a ) must operate at a 14 : 1 decimation factor such that the output is the baseband i - signal 42 ( a ) represented as a series of samples clocked at 2 mhz . in operation , decimation filter 52 ( a ) functions to pass every 14 th value and ignore the remaining values and as such converts a 28 mhz sample frequency to a 2 mhz sample frequency . it should be appreciated that the output of the decimation filter 52 ( a ) will have a better signal to noise ratio if the phase of the decimation filter 52 ( a ) is in phase with the local maxima and minima of the frequency diverse baseband signal 50 ( a ). or , stated another way , that the retained values are generally aligned with the peaks and troughs of the frequency diverse baseband signal 50 ( a ) and the non - peak and non - trough values are the values that are ignored or decimated . it should be appreciated that because the frequency diverse baseband signal 50 ( a ) is baseband , the period of the frequency diverse baseband signal 50 ( a ) matches the period of the data symbols communicated thereon . referring to the flowchart of fig4 and the diagram of fig5 a method for setting the phase of the decimation filter 52 ( a ) is shown . samples 60 ( a )-( e ) are in a retained phase group 62 ( 2 ) while the remaining samples are in the decimated phase groups . the decimation filter has a total quantity of phase groups 62 ( 1 )-( 14 ) that matches the decimation factor ( e . g . 14 : 1 ) such that samples in the retained phase group ( e . g . samples 60 ( a )-( e ) in the phase group 62 ( 2 )) may be retained while the samples in the remaining phase groups are decimated . at step 64 , a sample time period 72 is selected . the sample time period 72 is the period in which sample values are analyzed to select the retained phase group . at step 66 , each sample is determined to be in one of the phase groups 62 ( 1 )- 62 ( 14 ). next , at step 68 , a sum - of - the - squares value is calculated for each phase group 62 ( 1 )-( 14 ). the sum - of - the - squares value or each phase group 62 ( 1 )-( 14 ) is equal to the summation of the square of the value of each sample in the sample period that is in that particular phase group . at step 70 , the sum - of - the - squares value for each phase group is compared to the other phase groups and the phase group with the highest sum - of - the - squares value is selected as the retained phase group . in the example of fig5 phase group 62 ( 2 ) would have the highest sum of the squares value and is therefore becomes the retained phase group while the remaining phase groups are ignored . the above described systems and methods effectively recover a baseband i - signal from a frequency diverse qam carrier signal . referring again to fig3 the systems and methods for recovery of the baseband q - signal 42 ( b ) are identical to the above described systems and method for recovery of the baseband i - signal 42 ( a ) except that the digitized carrier signal 38 is mixed down with a digital cosine waveform at the carrier frequency rather than the digitized sine waveform used for recovery of the baseband i - signal 42 ( a ). more specifically , digitized carrier signal 38 is fed to mixer 48 ( b ) which functions identically to mixer 48 ( a ) except that it operates to mix digitized carrier signal 38 with a digitized cosine signal 46 ( b ) to yield frequency diverse baseband signal 50 ( b ). frequency diverse baseband signal 50 ( b ) is fed to a decimation filter 52 ( b ) which functions identically to the decimation filter 52 ( a ) to fold the sub - spectra of frequency diverse baseband signal 50 ( b ) into baseband q - signal 42 ( b ). in a second embodiment of this invention it is recognized that , because of various design considerations , it is not always preferable to sample the modulated carrier at four - times the carrier frequency . fig6 shows a second embodiment of a device 30 ′ wherein the modulated carrier is sampled by a / d converter 34 ′ at a sampling frequency that is greater than four - times that of the modulated carrier . more specifically , device 30 ′ includes analog front end 32 which , like in the first embodiment , includes known analog circuits tuned to the modulated carrier frequency for receiving a carrier signal from a transmission medium and amplifying such signal as appropriate for sampling by a / d converter 34 ′. again , a / d converter 34 ′ is preferably a 10 - bit a / d converter and , in this exemplary embodiment wherein the modulated carrier is a 7 mhz signal , the a / d converter is driven by a 32 mhz clock signal 36 ′ such that the output of the a / d converter 34 ′ is a digitized carrier signal 38 ′ comprising a sequence of 10 - bit sample values clocked at a sampling frequency of 32 mhz . the digitized carrier signal 38 ′ is then coupled to a demodulator 40 ′ for recovery of the baseband i and q - signals 42 ( a ) and 42 ( b ) in accordance with this second embodiment of this invention . the demodulator 40 ′ includes mixer 44 ′ for separating the i and q - channels from the digitized carrier signal 38 ′. mixer 44 ′ includes an i - channel mixer 48 ( a )′ which mixes the digitized carrier signal 38 ′ with a sequence of values representing a digitized sine wave 46 ( a )′. in this second embodiment , the digitized sine wave 46 ( a )′ has a frequency equal to one - fourth that of the sample frequency such that the digitized sine wave 46 ( a )′ may be represented by a sequence of digital values [ 1 , 0 ,− 1 , 0 ] clocked at the sample frequency . for example , an 8 mhz sine wave can be represented by the sequence of digital values [ 1 , 0 ,− 1 , 0 ] clocked at 32 mhz which matches the sample frequency such that mixer 48 ( a )′ is a hardware simple multiplier . it should be appreciated that in this second embodiment , the output of mixer 48 ( a )′ is not the frequency diverse baseband signal because it has been mixed down by 8 mhz as where recovery of baseband requires mixing down by 7 mhz and as such will be called the frequency diverse mixed down signal 50 ( a )′. the frequency diverse mixed down signal 50 ( a )′ is input to a decimation filter 52 ( a )′. again , the purpose of the decimation filter 52 ( a )′ is to reduce the sample frequency and fold the three mutually exclusive sub - spectrums 18 ( a )-( c ) ( fig2 ) together . again , a sampling frequency that matches the frequency difference between the centers of the three sub - spectrums 18 ( a )-( c ) will result in the folding of the three sub - spectrums in the frequency diverse mixed down signal 50 ( a )′ into an i - channel mixed down signal 54 ( a ). as such , in the preferred embodiment where the centers of the three sub - spectra 18 ( a ), 18 ( b ), and 18 ( c ) are at 5 mhz , 7 mhz , and 9 mhz respectively , a sampling frequency of 2 mhz will achieve the desired folding . to achieve a 2 mhz sampling rate , the decimation filter will operate at a 16 : 1 decimation factor . similar to the first embodiment , it should be appreciated that the output of the decimation filter 52 ( a )′ will be a stronger signal if the decimation is in phase with the local maxima and minima of the frequency diverse mixed down signal 50 ( a )′. as such , the same method for selecting a decimation phase as previously discussed with respect to fig4 and 5 will be used to set the phase of decimation filter 52 ( a )′ in this second embodiment . it should be appreciated that because frequency diverse mixed down signal 50 ( a )′ is not baseband , the period of the signal will be other than the period of the data symbols communicated thereon . the i - channel mixed down signal 54 ( a ) is fed to a second i - channel mixer 56 ( a ). as previously discussed , in this second embodiment , the i - channel mixed down signal 54 ( a ) is not a baseband signal because it was mixed down by an 8 mhz digitized sine wave 46 ( a )′ rather than by a 7 mhz sine wave ( e . g . matching the carrier frequency ) that would have mixed down the digitized carrier signal 38 to baseband . to recover baseband in this second embodiment , the i - channel mixed down signal 54 ( a ) will need to be mixed up with a 1 mhz digitized sine wave by the second i - channel mixer 56 ( a ). because the i - channel mixed down signal 54 ( a ) has a 2 mhz sampling frequency , the 1 mhz digitized sine wave also must be represent by a 2 mhz sequence of values , which would be a repetitive sequence of [ 1 ,− 1 ]. the output of second mixer 56 ( a ) is thus the baseband i - signal 42 ( a ). again , the above described systems and methods of this second embodiment effectively recover a baseband i - signal 42 ( a ) from a frequency diverse qam carrier signal . the systems and methods for recovery of the baseband q - signal 42 ( b ) are identical to the above described systems and method for recovery of the baseband i - signal 42 ( a ) except that the digitized carrier signal 38 ′ is mixed down with a one - fourth sampling frequency digitized cosine wave 46 ( b )′ rather than the one - fourth sampling frequency digitized sine wave 46 ( a )′ used to mix down the i - channel . more specifically , digitized carrier signal 38 ′ is fed to mixer 48 ( b )′ which functions identically to mixer 48 ( a )′ except that it operates to mix digitized carrier signal 38 ′ with a digitized cosine signal 46 ( b )′ to yield frequency diverse base mixed down signal 50 ( b )′. frequency diverse mixed down signal 50 ( b )′ is fed to a decimation filter 52 ( b )′ which functions identically to decimation filter 52 ( a )′ to fold the sub - spectra of frequency diverse mixed down signal 50 ( b )′ to yield a q - channel mixed down signal 54 ( b ). the q - channel mixed down signal 54 ( b ) is fed to a second q - channel mixer 56 ( b ) wherein the q - channel mixed down signal 54 ( b ) is mixed with a 1 mhz digitized cosine wave , represented by a repetitive sequence [− 1 , 1 ] clocked at 2 mhz , to yield the baseband q - signal 42 ( b )′. the above described systems and methods provide for a dsp implementation of spectrum folding and reduction of a high frequency sampling rate to a significantly lower sampling rate , and provide for demodulating a frequency diverse modulated data signal with reduction in hardware complexity and size over known systems . although the invention has been shown and described with respect to certain preferred embodiments , it is obvious that equivalents and modifications will occur to others skilled in the art upon the reading and understanding of the specification . the present invention includes all such equivalents and modifications , and is limited only by the scope of the following claims .