FIELD OF THE INVENTION  
       [0001]    The present invention relates to receivers of digital communications generally and, more particularly, to a method and/or apparatus for re-adaptation of an equalizer parameter to center a sample point in a baud-rate clock and data recovery receiver. 
       BACKGROUND OF THE INVENTION  
       [0002]    Clock and Data Recovery (CDR) circuits form a part of Serial-Deserial (SerDes) receivers. The CDR circuits track the phase of a sampling clock based on some criterion, such as minimizing a Mean-Squared-Error (MSE). Conventional CDR circuits are commonly designed to achieve low target bit-error-ratios (BER) on the order of 10 −12  to 10 −15  errors per bit. The CDR circuits commonly used in practice can be broadly classified into two categories, baud-rate CDR and bang-bang CDR. Each class has associated advantages and disadvantages. 
         [0003]    In a bang-bang, or Alexander type CDR, a received signal is sampled twice each symbol period. The symbol period is called a Unit Interval (UI). Ideally, one sample is obtained at a crossing boundary and another sample is obtained at a center of a slicer input “eye”. Two consecutive “center” data samples (i.e., d[k-1] and d[k]) and the crossing sample in-between (i.e., p[k]) are used to decide whether the current sampling phase is lagging or leading. The sampling phase is then corrected accordingly. In a bang-bang CDR, the eye looks symmetric about the sampling point, which is desirable for good sinusoidal jitter tolerance. However, better jitter tolerance comes at the cost of oversampling the signal. The oversampling adds cost and complexity to the system. 
         [0004]    In a baud-rate CDR, the received signal is sampled at the baud rate or once every UI. Hence, oversampling does not occur in the baud-rate CDRs. The sampling phase can be chosen based on different criteria. For example, in an MSE baud-rate CDR, the sampling phase that yields a minimum MSE is chosen. In a Mueller-Muller baud-rate CDR, the sampling phase is chosen such that a first pre-cursor and a first post-cursor of an equalized pulse about the sampling point are equal. Thus, the sampling point chosen may not be in the center of the equalized eye if the equalized pulse is not symmetrical in terms of first pre-cursor and first post-cursor. 
         [0005]    Referring to  FIG. 1 , a diagram of a conventional unequalized pulse response  10  and a conventional equalized pulse response  12  is shown. Consider a baud-rate CDR where a convergence point (i.e., settling point) relies on a pre-cursor matching a post-cursor. In the absence of a Receive Feed-Forward Equalizer (Rx-FFE), or if a transmit Finite Impulse Response (FIR) filter does not properly cancel the pre-cursor, a residual pre-cursor sample  14  (i.e., p −1 (0)) has a major impact on the settling point τ of a Mueller-Muller baud-rate CDR. The residual pre-cursor sample  14  causes the Mueller-Muller baud-rate CDR to shift the sampling phase to the left of the peak (ideally the unequalized sample  16  at time=0) so that a first pre-cursor  18  (i.e., p e   −1 (τ)), with respect to the sampling point, is close to zero amplitude. Accordingly the magnitude of the first post-cursor  20  (i.e., p +1 (0)) in the unequalized pulse response  10  increases from p +1 (0) to p +1 (τ) because of the shifting left. 
         [0006]    Referring to  FIG. 2 , a diagram of a conventional slicer input eye  30  of a Decision-Feedback Equalizer (DFE) receiver with un-cancelled pre-cursor Inter-Symbol Interference (ISI) is shown. The DFE can cancel the post-cursor ISI in the unequalized pulse  10 . The resulting equalized pulse  12  has the first pre-cursor  18  (i.e., p e   −1 (τ)=0) and a first equalized post-cursor sample  22  (i.e., p e   +1 (τ)=0) near the zero amplitude, where the superscript “e” denotes an equalized sample. Hence, the equalized eye  30  of the slicer is asymmetric about the sampling point τ. Particularly, a left horizontal eye opening (i.e., HL) is smaller than a right horizontal eye opening (i.e., HR). Therefore, a Sinusoidal Jitter Tolerance (SJT), which is the amplitude of sinusoidal jitter about the sampling point that can be tolerated without errors (i.e., 2*HL), is reduced compared with the ideal sample point at time=0. Thus, in optical applications where a transmitter FIR filter is not available, the Mueller-Muller baud-rate CDR suffers from poor SJT compared with the bang-bang CDR. 
       SUMMARY OF THE INVENTION  
       [0007]    The present invention concerns an apparatus having a first circuit and a second circuit. The first circuit may be configured to (i) generate an equalizer parameter in response to an input signal, the equalizer parameter causing a cancellation of post-cursor inter-symbol interference from a plurality of symbols in the input signal and (ii) generate an output signal in response to both the input signal and the equalizer parameter. The second circuit may be configured to (i) generate a target parameter signal in response to the input signal, the target parameter signal representing a mean value of a plurality of sample points of the symbols and (ii) generate a control signal in response to the target parameter signal, the control signal causing a reduction of the equalizer parameter, the reduction causing a decrease in the cancellation of the post-cursor inter-symbol interference from the symbols, wherein the apparatus does not cancel pre-cursor inter-symbol interference. 
         [0008]    The objects, features and advantages of the present invention include providing a method and/or apparatus for re-adaption of an equalizer parameter to center a sample point in a baud-rate Clock and Data Recovery (CDR) receiver that may (i) center a sample point in a decision-feedback equalized eye of a receiver employing a baud-rate CDR in the absence of a feed-forward equalization, (ii) provide an improved sinusoidal jitter tolerance compared with conventional Mueller-Muller baud-rate CDRs and/or (iii) adapt a first tap in an adjustable decision-feedback equalizer. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0009]    These and other objects, features and advantages of the present invention will be apparent from the following detailed description and the appended claims and drawings in which: 
           [0010]      FIG. 1  is a diagram of a conventional pulse responses; 
           [0011]      FIG. 2  is a diagram of a conventional slicer input eye of a Decision-Feedback Equalizer receiver with un-cancelled pre-cursor Inter-Symbol Interference; 
           [0012]      FIG. 3  is a block diagram of a receiver in accordance with a preferred embodiment of the present invention; 
           [0013]      FIG. 4  is a diagram of a symmetrical eye resulting from equalization re-adaptation; 
           [0014]      FIG. 5  is a diagram of the example unequalized pulse response and a re-adapted equalized pulse response; 
           [0015]      FIG. 6  is a flow diagram of an example method implementing the re-adaptation; 
           [0016]      FIG. 7  is a diagram of experimental curves illustrating a soft-increase corner; and 
           [0017]      FIG. 8  is a diagram of example test results of a receiver sinusoidal jitter tolerance with the re-adaptation. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
       [0018]    Referring to  FIG. 3 , a block diagram of a receiver  100  is shown in accordance with a preferred embodiment of the present invention. The receiver (apparatus or system)  100  is generally operational to center a sample point in a decision-feedback equalized eye where the receiver employs a baud-rate Clock and Data Recovery (CDR) circuit. The receiver  100  generally comprises a circuit (or module)  102  and a circuit (or module)  104 . The receiver  100  may lack a Feed-Forward Equalization (FFE) capability. 
         [0019]    A signal (e.g., IN) may be received at an interface  106  of the circuit  104 . A signal (e.g., OUT) may be generated by the circuit  104  and presented at an interface  108 . The circuit  104  may generate and present a signal (e.g., Ek) to the circuit  102  and use the signal Ek internally. A signal (e.g., SMP) may be generated by the circuit  102  and presented to the circuit  104 . A signal (e.g., HO) may also be generated by the circuit  102  and presented back to the circuit  104 . The circuit  102  may generate and present a signal (e.g., CNT) to the circuit  104 . A signal (e.g., H 1 ) may be generated by the circuit  104  and presented to the circuit  102 . 
         [0020]    The signal IN may comprise an analog signal carrying a sequence of pulses  110 . Each of the pulses  110  may represent a symbol that has been subjected to pre-cursor Inter-Symbol Interference (ISI) and post-cursor ISI. The symbols generally represent clock information and/or data information. 
         [0021]    The signal OUT may comprise a digital signal carrying a sequence of values  112 . Each one of the values  112  may correspond to a respective one of the symbols  110 . The amplitudes of the values  112  generally correspond to a sampled value of the equalized signal at or near the ideal sampling point (e.g., time=0). 
         [0022]    The signal SMP may implement a sample command. When the signal SMP is asserted, the circuit  104  may take a sample (e.g., digitize) of the equalized signal Y(t). 
         [0023]    The signal Ek may implement an error signal. The signal Ek generally indicates an amplitude and direction of a deviation between the actual sample points and the ideal sample points. 
         [0024]    The signal H 0  may implements a gain parameter and/or a target parameter signal. The signal H 0  generally denotes a mean value of the signal at the sampling points. The value of the signal H 0  generally depends on multiple sampling points. 
         [0025]    The signal H 1  may implement a tap signal. The signal H 1  generally identifies a tap weight of a first tap in an adaptive decision-feedback equalizer. 
         [0026]    The signal CNT may implement a control signal. The signal CNT generally commands the circuit  104  to adaptively adjust an equalization parameter (e.g., the tap weight of a first tap H 1 ). The adjustments may cause the sampling points to shift right toward a center of a slicer input eye. 
         [0027]    The circuit  102  may implement an adaptation equalization control circuit. The circuit  102  is generally operational to (i) control the sampling point phase of the signal IN, (ii) adjust the target value and (iii) readapt the equalization. The control may be based on the signal Ek. 
         [0028]    The circuit  104  may implement a sampling circuit. The circuit  104  is generally operational to (i) sample the signal Y(t), (ii) generate the signal Ek, (iii) equalize the samples and (iv) generate the signal OUT. The equalization and adaptation may be based on the signal Ak, the signal Ek and the signal CNT. 
         [0029]    The circuit  102  generally comprises a circuit (or module)  120  and a circuit (or module)  122 . The circuit  122  generally comprises a circuit (or module)  124  and a circuit (or module)  126  The signal Ek may be received by the circuit  120  and the circuit  124 . The circuit  120  may generate the signal SMP. The circuit  124  may generate the signal H 0 . The circuit  126  may generate the signal CNT. The signal H 1  may be received by the circuit  126 . 
         [0030]    The circuit  120  may implement a timing adjustment circuit. The circuit  120  is generally operational to perform a phase and frequency detection and adjust a phase of the signal SMP based on the signal Ek. The circuit  120  may be implemented similar to a phase adjustment circuit in a common Mueller-Muller baud-rate CDR. 
         [0031]    The circuit  124  may implement a target adjustment circuit. The circuit  124  is generally operational to generate the signal H 0  based on the signal Ek. The adjustment generally changes a post-cursor inter-symbol interference cancellation such that the sampling point shifts right toward the center of the slicer input eye. 
         [0032]    The circuit  126  may implement an equalizer re-adaption circuit. The circuit  126  may be operational to generate the signal CNT based on the signal H 0  and the signal H 1 . Further details of the operation are provided below. 
         [0033]    The circuit  104  generally comprises a circuit (or module)  130 , a circuit (or module)  132 , a circuit (or module)  134 , a circuit (or module)  136 , a circuit (or module)  138  and a circuit (or module)  140 . The circuit  132  may receive the signal IN from the interface  106  and the signal SMP from the circuit  120 . The  134  may generate and present the signal Ek to the circuit  102  and the circuit  140 . The circuit  136  may receive the signal H 0  from the circuit  124 . The circuit  138  may sample an equalized signal and generate and present the signal OUT to the interface  108 , the circuit  136  and the circuit  140 . The circuit  140  may receive the signal CNT, the signal OUT and the signal Ek. The signal Hi may be presented from the circuit  140  to the circuit  126  for re-adaptation. 
         [0034]    The circuit  132  may generate and present a signal (e.g., Y(t)) to the circuit  134 . The circuit  130  may receive the signal SMP and the signal Y(t). A signal (e.g., Yk) may be generated by the circuit  130  and presented to the circuits  134  and  138 . A signal (e.g., Bk) may be generated by the circuit  136  and presented to the circuit  134 . A signal (e.g., Z(t)) may be generated by the circuit  140  and presented to the circuit  132 . The signal OUT may also be illustrated in the figure as a signal (e.g., Ak). 
         [0035]    The circuit  130  may implement an analog-to-digital circuit. The circuit  130  is generally operational to digitize the signal Y(t) to create the signal Yk. Digitization may be controlled by the signal SMP. The signal Yk generally comprises a sequence of digital values, one per sample. Each of the digital values may represent an equalized amplitude of the signal IN when sampled. In some embodiments, the circuit  130  may be inside the circuit  138 . 
         [0036]    The circuit  132  may implement a summation circuit. The circuit  132  is generally operational to sum the received signal IN with the signal Z(t) to generate the signal Y(t). 
         [0037]    The circuit  134  may implement another summation circuit. The circuit  134  is generally operational to sum the signal Bk with the equalized signal Yk to generate the signal Ek. 
         [0038]    The circuit  136  may implement a multiplication circuit. The circuit  136  is generally operational to calculate digital values in the signal Bk by multiplying the digital values in the signal Ak (the signal OUT) with the target parameter value in the signal H 0 . 
         [0039]    The circuit  138  may be implemented as a slicer circuit. The circuit  138  may be operational to sample the signal Yk to generate the signal Ak (the signal OUT). 
         [0040]    The circuit  140  may implement an L-tap adaptive decision-feedback equalizer circuit. The circuit  140  may be operational to generate the signal Z(t) as a weighted sum of one or more previous values received in the signal Ak. The circuit  140  generally implements multiple taps (e.g., H 1  to H L ). The tap weight of a first tap H 1  may be controlled by the signal CNT and signed element adaptations. The signal H 1  may convey the tap weight of the first tap H 1 . In the absence of any feed-forward equalization, the circuit  140  and the circuit  132  may cause adjustable cancellation of post-cursor ISI from the values in the signal IN. 
         [0041]    Adjustment of the weight of the first tap H 1  in the circuit  140  generally allows some residual first post-cursor ISI to be un-cancelled. The un-cancellation is controlled such that the first post-cursor ISI generally matches the first pre-cursor ISI (with respect to the peak of the pulse response). Matching the ISIs may cause the baud-rate CDR to sample the pulse response at or near the pulse response peak and generally makes the equalized pulse symmetrical. In some embodiments, the other taps in the circuit  140  may be adjusted as well. 
         [0042]    Referring to  FIG. 4 , a diagram of a symmetrical eye  160  resulting from the equalization re-adaptation is shown. By allowing some residual first post-cursor ISI, sample point τ may be more centered in the eye  160 . In particular, the left horizontal eye opening (e.g., HL′) may be approximately the same as the right horizontal eye opening (e.g., HR′). As such, the improved symmetrical horizontal eye opening (HL′=HR′) generally increases the tolerable sinusoidal jitter (e.g., 2*HL′&gt;2*HL). 
         [0043]    Referring to  FIG. 5 , a diagram of the example unequalized pulse response  10  and a re-adapted equalized pulse response  180  is shown. In the presence of the unequalized residual pre-cursor sample  14  the baud rate CDR generally settles such that the resulting equalized first pre-cursor  18  has a zero amplitude. The mean value of the signal IN at the sampling point τ may be denoted as h 0 . In  FIG. 4 , the mean value generally corresponds to the mean signal level of the dots (regions  162 ), which are the sampled values. The gain value h 0  may also be adapted using a sign-sign LMS to track the signal level at the sampling point τ. As such, the value h 0  generally depends on the sampling point τ. As the sampling point τ moves toward the right, the value h 0  should increase. The value h 0  generally hits a plateau when the sampling point τ is close to the center of the eye  160 . 
         [0044]    The CDR may be forced to move the sampling point τ to the right in  FIG. 5  by reducing the H 1  tap weight in steps, allowing the timing to shift right and the value h 0  to adapt to a new voltage level. By reducing the H 1  tap weight (e.g., moving the first post-cursor sample down from p 1 (τ)), some residual post-cursor ISI may be left in the equalized response  180 . By the property of the Mueller-Muller CDR, the new sampling phase is chosen such that the equalized first pre-cursor (with respect to the new sampling phase) matches the residual first post-cursor. Thus, the sampling phase may to move closer to time=0, and the resulting eye is therefore more symmetrical, as show in  FIG. 4 . 
         [0045]    Referring to  FIG. 6 , a flow diagram of an example method  200  implementing the re-adaptation is shown. The method (or process)  200  may be implemented by the receiver  100 . The method  200  generally comprises a step (or block)  202 , a step (or block)  204 , a step (or block)  206 , a step (or block)  208 , a step (or block)  210 , a step (or block)  212  and a step (or block)  214 . 
         [0046]    Experimental measurements generally reveal that the value h 0  may increase rapidly at first, then increase softly as the H 1  tap weight is reduced from the usual adapted value (e.g., as determined by a sign-sign LMS adaptation technique). The measurements also show that a first corner in the soft-increase region generally corresponds to an optimal H 1  weight setting. The first soft-increase corner is where an index of the value h 0  changes at most by a first number of setting (e.g., a threshold of 2) when an index of the value h 1  reduces by a second number of setting (e.g., 5). An odd number of samples (e.g., 3) may to be taken for each sample point to enable a majority voting to determine the change of the value h 0  and the resulting programmability of the soft-increase corner. 
         [0047]    In the step  202 , the receiver  100  may enable a Decision-Feedback Equalization (DFE) loop adapting of the tap weights of the H 1  to H L  taps. In some embodiments, the circuit  140  may use a sign-sign least-mean-square technique. Other techniques may be used to meet the criteria of a particular application. In the step  204 , a check is made to determine if the DFE loop has settled. If the DFE loop is not settled (e.g., the NO branch of step  204 ), the receiver  100  may continue the adaptation of the H 1  to H L  taps. 
         [0048]    Once the DFE loop has settled (e.g., the YES branch of step  204 ), the initial index values of h 0  and h 1  may be recorded by the circuit  126  (e.g., h 0 [0] and h 1 [0]). In the step  206 , the circuit  126  may command the circuit  140  to reduce the H 1  tap weight by a single step (or weight unit). The circuit  126  may determine in the step  208  if the value h 0  actually increased due to the H 1  tap weight shift. If the value h 0  did increase (e.g., the YES branch of step  208 ), the circuit  126  may update the initial values of h 0  and h 1  and command the circuit  140  to decrease the H 1  tap weight an additional step. 
         [0049]    Once the value h 0  has not increased (e.g., the NO branch of step  208 ), the circuit  126  may record the resulting values of h 0  and h 1  (e.g., h 0 [1] and h 1 [1]) in the step  210 . Furthermore, the circuit  126  may command several (e.g., four) subsequent reductions in the H 1  tap weight and record the resulting values of h 0  and h 1  (e.g., h 0 [2], h 0 [3], h 0 [4], h 0 [5], h 1 [2], h 1 [3], h 1 [4] and h 1 [5]) in the step  210 . Changes in the index values from h 0 [1] to h 0 [5] may be checked by the circuit  126  to determine if a soft-increase corner has been reached in the step  212 . If no soft-increase corner has been detected (e.g., the NO branch of step  212 ), the method  200  may return to the step  206  where the current values of h 0  and h 1  are recorded and the H 1  tap weight is reduced by another step. 
         [0050]    If a soft-increase corner has been detected (e.g., the YES branch of step  212 ), the circuit  126  may identify a median (middle) index value among the h 0  index values and establish the corresponding H 1  tap weight as an optimum setting in the step  214 . As such, the adaptation may be complete and the future samples may be made based on the last value in the signal CNT. 
         [0051]    Referring to  FIG. 7 , a diagram of experimental curves illustrating a soft-increase corner is shown. The curves  220  and  222  were generally recorded from a graphical user-interface of a test chip.  FIG. 7  generally shows the curve  220  of h 0  versus h 1 [x] (e.g., x-axis) and versus a Bit Error Ratio (BER) (e.g., left y-axis) of the receiver  100 . The curve  222  may illustrate a BER versus h 1 [x]. 
         [0052]    In the example, the index of the DFE H 1  tap weight may be initially adapted by the sign-sign LMS technique (e.g., step  202 ) to an index value of 22 (approximately 88 millivolts (mV)). The corresponding index value h 0  may be 8 (approximately 84 mV) along the right (H 0 ) y-axis. With the H 1 tap re-adaptation of  FIG. 6 , the H 1  tap weight may be adjusted downward causing the value h 0  to increase (e.g., the loop around steps  206  and  208 ). When the h 1  tap is decreased from the index value 15 to 14, the value h 0  remains unchanged at 17 (e.g., the NO branch of step  208 ). Therefore, h 0 [1]=17 at h 1 [1]=14 (e.g., step  210 ). The next four values of h 0  may be recorded for the next four steps of the H 1  tap weight (e.g., the rest of step  210 ). A soft-increase corner may be detected (e.g., step  212 ) because the change from h 0 [1] to h 0 [5] may be within the threshold of 2 (e.g., 19−17≦2). The median value of the five values of h 0  (e.g., 18 which is approximately 114 mV) may correspond to an h 1  index of 13 (e.g., approximately 52 mV). Consequently, the BER of the receiver may be improved from 10 −9  at h 1 =22 without re-adaptation to better than 10 −13  at h 1 =13 with re-adaptation. 
         [0053]    Referring to  FIG. 8 , a diagram of example test results of a receiver sinusoidal jitter tolerance with the h 1  tap re-adaptation in a Small Form-factor Pluggable (SFP+) 10 gigabit Ethernet test is shown. Without the H 1  tap re-adaptation, the receiver response may fail to meet the Sinusoidal Jitter (SJ) Mask  230 . With the H 1  tap re-adaptation to center the sampling point of the Mueller-Muller baud-rate CDR, the receiver response  232  may exceed the SJ mask  230  with a sufficient margin. 
         [0054]    The functions performed by the diagrams of  FIGS. 3-6  may be implemented using a conventional general purpose digital computer programmed according to the teachings of the present specification, as will be apparent to those skilled in the relevant art(s). Appropriate software coding can readily be prepared by skilled programmers based on the teachings of the present disclosure, as will also be apparent to those skilled in the relevant art(s). 
         [0055]    The present invention may also be implemented by the preparation of ASICs, FPGAs, or by interconnecting an appropriate network of conventional component circuits, as is described herein, modifications of which will be readily apparent to those skilled in the art(s). 
         [0056]    The present invention thus may also include a computer product which may be a storage medium including instructions which can be used to program a computer to perform a process in accordance with the present invention. The storage medium can include, but is not limited to, any type of disk including floppy disk, optical disk, CD-ROM, magneto-optical disks, ROMs, RAMs, EPROMs, EEPROMs, Flash memory, magnetic or optical cards, or any type of media suitable for storing electronic instructions. 
         [0057]    While the invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made without departing from the scope of the invention.
An apparatus generally having a first circuit and a second circuit. The first circuit may be configured to (i) generate an equalizer parameter in response to an input signal, the equalizer parameter causing a cancellation of post-cursor inter-symbol interference from a plurality of symbols in the input signal and (ii) generate an output signal in response to both the input signal and the equalizer parameter. The second circuit may be configured to (i) generate a target parameter signal in response to the input signal, the target parameter signal representing a mean value of a plurality of sample points of the symbols and (ii) generate a control signal in response to the target parameter signal, the control signal causing a reduction of the equalizer parameter, the reduction causing a decrease in the cancellation of the post-cursor inter-symbol interference from the symbols, wherein the apparatus does not cancel pre-cursor inter-symbol interference.