CROSS-REFERENCE TO RELATED APPLICATIONS 
     The present disclosure is a continuation of U.S. patent application Ser. No. 13/400,386 (now U.S. Pat. No. 8,369,041) filed Feb. 20, 2012, which is a continuation of U.S. patent application Ser. No. 12/392,872 (now U.S. Pat. No. 8,120,871), filed Feb. 25, 2009. This application claims the benefit of U.S. provisional patent application No. 61/054,697, filed May 20, 2008. The disclosures of the above applications are incorporated herein by reference in their entirety. 
    
    
     FIELD 
     The present disclosure relates generally to disc based servo systems, and more particularly to reducing repeatable runout (RRO) in disc based servo systems. 
     BACKGROUND 
     A storage servo system is used to reduce mechanical displacement mismatches between an actual position of a read/write head and a target position of the head. The mechanical displacement mismatches, or disturbances, in a servo system may include RRO and non-repeatable runout. Repeatable runout may be caused by disc irregularity, disc eccentricity and/or spindle axis assembly (mechanical misalignments) and are repeatable in each spindle rotation. Non-repeatable runout is not synchronized with disc sectors, e.g., unmodeled dynamics. 
     Some hard disk drives (HDDs) use a frequency domain multiple sine wave synthesizing method for feed-forward RRO disturbance control. This method needs significant processing power to generate multiple sine waves and calculate the phase and magnitude for each sine wave to compensate for repeatable runout. 
     A removable disc is not fixed to any storage system and may be loaded into a storage system when needed. Examples of removable disc storage systems may include CD-ROM drives and DVD drives. Some people believe that disturbances in removable disc storage systems are not predictable, and that repeatable runout control (RROC) in removable storage systems is impossible, because the recording media is removable and the loader mechanism is low cost. Others are trying to implement RROC in removable disc storage systems using the above-described magnetic storage approach, using a high bandwidth feedback control loop with a high sampling rate. However, with the high sampling rate, such an approach is prohibitively expensive. 
     Therefore, it may be desirable to provide a method and apparatus for reducing RRO in removable disc storage systems. 
     SUMMARY 
     A method is provided for reducing a disturbance associated with repeatable runout associated with a removable disc loaded into a storage system. The method includes, at the storage system: logically partitioning the removable disc into sectors; for each of the sectors, obtaining a corresponding profile of repeatable runout contained in the sector; and applying a runout control algorithm to each of the sectors to generate a repeatable runout control (RROC) waveform that is usable to suppress the repeatable runout in the sector as indicated by the profile corresponding to the sector. The method also includes, at the storage system: assembling each RROC waveform to generate a single RROC waveform that is useable to suppress repeatable runout as contained in an entire revolution of the removable disc; and storing, in a memory, the single RROC waveform. 
     In other features, a storage system is provided and includes a servo control system and a memory. The servo control system is configured to: logically partition a removable disc into sectors; for each sector of the sectors, obtain a corresponding profile of repeatable runout contained in the sector; apply a runout control algorithm to each sector of the sectors to generate a RROC waveform that is usable to suppress the repeatable runout in the sector as indicated by the profile corresponding to the sector; and assemble each RROC waveform to generate a single RROC waveform that is useable to suppress repeatable runout as contained in an entire revolution of the removable disc. The memory is configured to store the single RROC waveform. 
     In other features, a storage system is provided and includes a first buffer configured to store a first repeatable runout profile for at least one sector of a rotating storage medium. A second buffer configured to store a second repeatable runout profile for the at least one sector. A controller is configured to control a servo of the rotating storage medium based on the first repeatable runout profile during a first revolution of the rotating storage medium. The controller is also configured to learn the second repeatable runout profile (i) while operating in a track-following mode, and (ii) during the first revolution. The controller is further configured to cease learning of the second repeatable runout profile when one of (i) the controller is operating in a seek mode and (ii) the rotating storage medium is in an off-track state. Subsequent to the first revolution of the rotating storage medium and based on whether the learning of the second repeatable runout profile was stopped during the first revolution, the controller is configured to replace the first repeatable runout profile with the second repeatable runout profile in the first buffer. 
     In other features, a method is provided and includes storing a first repeatable runout profile for at least one sector of a rotating storage medium in a first buffer. A second repeatable runout profile is stored for the at least one sector in a second buffer. A servo of the rotating storage medium is controlled based on the first repeatable runout profile during a first revolution of the rotating storage medium. The second repeatable runout profile is learned (i) while operating in a track-following mode, and (ii) during the first revolution. The method further includes ceasing to learn the second repeatable runout profile when one of (i) the controller is operating in a seek mode, and (ii) the rotating storage medium is in an off-track state. Subsequent to the first revolution of the rotating storage medium and based on whether the learning of the second repeatable runout profile was stopped during the first revolution, the first repeatable runout profile is replaced with the second repeatable runout profile in the first buffer. 
     In other features, a method for reducing repeatable runout (RRO) is provided and may include: learning an RRO profile of at least two sectors in a removable disc; forming a repeatable runout control (RROC) profile for the at least two sectors; assembling the RROC profile of the at least two sectors into an RROC profile for the removable disc; and storing the RROC profile for the removable disc in a first memory to provide a feed-forward control effort in time domain to suppress the RRO. A removable disc may be, e.g., an optical, a magnetic or a magneto-optical disc. 
     In one aspect, one of the at least two sectors may be a target disc sector, and the method may include providing a feed-forward control effort to suppress the RRO for the target disc sector when a head reaches the target disc sector. 
     The method may include providing a feed-back control effort to suppress non-repeatable runout for the target disc sector after the head reaches the target disc sector. 
     The method may include separating RRO from non-repeatable runout for the target disc sector. 
     The method may include adapting the feed-forward control effort of the target disc sector to match the RRO of the target disc sector. 
     The method may include storing the feed-forward control effort which matches the RRO of the target disc sector in a second memory to adaptively adjust the RROC profile. 
     The method may include promoting the RROC in the second memory to the first memory after a spindle revolution. 
     The method may include removing a direct current (DC) element of the RROC profile from the RROC profile before the promoting. 
     The method may include stopping the learning when the head is off-track. 
     A servo system may include a first memory for storing a repeatable runout control (RROC) profile which provides a feed-forward control effort to suppress repeatable runout (RRO) of a target disc sector of a removable disc when a head reaches the target disc sector; and a compensator for receiving an error signal and providing a feed-back control effort to reduce non-repeatable runout. 
     The server system may further include a low pass filter for separating RRO from the error signal and passing the RRO to the first memory. 
     The server system may further include a feed-back loop connecting an output of the first memory to an input of the first memory to adapt the RROC of the target disc sector. 
     The server system may further include a second memory for temporarily storing an RROC profile before a whole revolution is completed. 
     In one aspect, the compensator may include an infinite impulse response (IIR) filter. 
     The server system may further include a phase lock loop (PLL) for partitioning the disc into a number of sectors. 
    
    
     
       BRIEF DESCRIPTION 
       Implementations are described herein with reference to the accompanying drawings, similar reference numbers being used to indicate functionally similar elements. 
         FIGS. 1A and 1B  illustrate a method for partitioning a disc into equally-distributed sectors. 
         FIG. 2  illustrates a servo control architecture for a removable disc storage system according to the present disclosure. 
         FIG. 3  illustrates a servo control architecture for a removable disc storage system with adaptation according to the present disclosure. 
         FIG. 4  illustrates an exemplary frequency response of a filter used in the servo control architecture of  FIG. 3 . 
         FIG. 5  illustrates an architecture for dual buffer based iterative learning according to the present disclosure. 
         FIG. 6  illustrates a flow chart of a method for reducing RRO according to the present disclosure. 
         FIG. 7  illustrates a removable disc storage servo system according to the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
     A method and apparatus is described for reducing RRO in removable disc storage systems. A disc may be partitioned into a number of equally spaced sectors. An RRO profile may be individually obtained for each sector, a runout control algorithm may be applied to each sector to generate an RROC waveform for the sector to suppress the RRO, and sector RROC waveforms may be assembled into an RROC waveform for a whole revolution and saved in a memory buffer for feed-forward control. The RROC is performed in the time domain, and it may be adapted for each sector to reject the RRO disturbance. The method may achieve better RRO rejection through an adaptive feed-forward and feedback servo architecture with minimal control bandwidth and minimal sampling rate; may reduce implementation cost through reduced memory usage by employing time domain adaptation for feed-forward control which may require in one implementation an array of memory buffers; may avoid synthesizing multiple sine waves; and may improve system robustness against servo conditions by disabling adaptive learning during its seek mode, settle mode, defect mode and/or an off-track servo failure. 
       FIGS. 1A and 1B  illustrate a method for partitioning a disc into sectors. 
     Since repeatable runout at a location on a removable disc, e.g., an optical disc, may occur each spindle rotation, the disc may be divided into a group of sectors (e.g., which may be equally spaced and/or equally sized, but not limited as such) for RROC waveform shaping, as shown in  FIG. 1A . Each sector may need a memory to store its RROC value (or profile). Therefore, the greater the number of sectors, the bigger the memory size required, and the finer the resolution of the RROC. The number of sectors may be a trade-off between the RROC resolution and memory cost. The implementation shown in  FIG. 1A  divides a disc into 128 sectors, but the number of sectors may be programmable and may have other values, e.g., 64 or 32. 
     Sector partitioning of a disc may be achieved by various methods. In one implementation, an angle index phase lock loop (PLL) algorithm may be used to generate a sequence of signals from a given hardware signal from a loader assembly, so as to partition a disc into equally spaced sectors. A spindle motor driver in a storage loader assembly may provide a sequence of pulses, called Frequency Generator (FG), and there may be 18 FG pulses per disc revolution for most of the popular motor drive ICs. The rising edges of some FG signals are shown in  FIG. 1A . Although the FG pulses may not be evenly distributed in one revolution, the phase position of each FG may remain substantially the same for each individual loader. The fixed phase position of FG pulses may be used to partition the disc into equally spaced and/or sized sectors. 
     If the angle (or phase) of a disc is a floating point number (or normalized value) 1.0, which may be converted into a fixed point representation by m-bit (for example m=32), the kth sector phase position may be k/N, where N is the total number of sectors in one revolution. The time interval for a sector may be measured with a reference clock. In one implementation, the PLL algorithm may be implemented in hardware, and a faster reference clock, e.g., in the MHz level, may be chosen to generate a fine resolution of sector partition with fine resolution of jitter on each sector boundary. In one implementation, the PLL algorithm may be implemented in software, and a slower reference clock, e.g., 88 KHz, may be used. The normalized phase for the time interval may be obtained by dividing the time interval by the time for an entire disc rotation, regardless of the spindle speed. 
     As shown in  FIG. 1B , an FG measure module  101  may receive a reference clock and the FG pulses to generate an actual FG phase. 
     At a comparator  102 , the actual FG phase may be compared with an FG phase target to generate a phase error measurement for the PLL. The FG phase target may be the normalized phase position of the FG pulses in the initial rotation. 
     A Proportional-Integral (PI) compensator  103  running at a fixed sampling rate (1 KHz) may be used in the PLL to provide a normalized phase error. The transfer function of the PI compensator  103  with a sampling rate of 1 KHz may be: 
     
       
         
           
             
               PI 
               ⁡ 
               
                 ( 
                 
                   z 
                   
                     - 
                     1 
                   
                 
                 ) 
               
             
             = 
             
               
                 
                   2 
                   
                     - 
                     18 
                   
                 
                 
                   1 
                   - 
                   
                     z 
                     
                       - 
                       1 
                     
                   
                 
               
               + 
               
                 2 
                 
                   - 
                   4 
                 
               
             
           
         
       
     
     A normalized phase accumulator  104  may receive a normalized phase error measured at each FG pulse from the PI compensator  103  and a reference clock, and predict a normalized phase increment adjustment at each reference clock. 
     The phase increment at each reference clock may be preset based on the normalized phase calculation. This phase increment value may be adjusted by the PLL. The PLL may synchronize, or phase lock, the normalized phase accumulation in the reference clock domain with the FG phase rotation in the FG pulse domain. 
     The spindle speed change may be a main distortion to the normalized phase definition. Since the PLL bandwidth may be much larger than the spindle speed change, it may be more than enough to use PLL to compensate for the phase distortion from the spindle speed change. In other words, the PLL may track the spindle speed change with a reasonably small tracking error. As will be described below, the adaptive RROC may tolerate this small PLL tracking error during the disc sector partition. 
     An angle index generator  105  may generate sector angle index pulses from the output of the normalized phase accumulator  104  by taking out its n-MSB. 
       FIG. 2  illustrates the architecture of a servo control system for a removable disc storage system. The removable disc may be an optical disc, although the servo control system may be used with other types of removable discs. The system may be a focus or radial servo system, and may use feedback to reject non-repeatable runout (Dnrro) and feed-forward to reject repeatable runout (Drro). A plant of an optical pick-up unit (OPU) system  200  may be modeled by a plant dynamic P 201 and two disturbances: Drro and Dnrro. 
     A table  202  may be used as a feed-forward controller and may be an RROC profile. The table  202  may be a static runout profile obtained in advance in an open loop. As shown in  FIG. 1A , a disc may be partitioned into 128 equally spaced sectors. An RRO profile may be individually obtained for each sector, a runout control algorithm may be applied to each sector to generate an RROC waveform for the sector to suppress its RRO, and sector RROC waveforms may be assembled into an RROC waveform for an entire revolution and saved in a memory buffer for feed-forward control. In one implementation, the runout control algorithm may generate an opposite waveform for RRO, i.e., by constructing a waveform that is the same as the RRO profile but with a 180° phase difference, so as to eliminate repeatable or predictable disturbances. The RROC waveform for a sector, which may provide a feed-forward control effort to suppress RRO in the sector, may be saved as an entry in the table  202 . Implementations for generating and adapting the RROC waveform will be described below in more detail with reference to  FIGS. 3 ,  4  and  5 . 
     In operation, the table  202  may receive information indicating the target disc sector and provide a control effort n to suppress the Drro for the target disc sector for feed-forward control when the head reaches the target disc sector. At the same time, a closed loop feedback compensator C  203  may receive an error signal e from the plant, which ideally may only include Dnrro if Drro is already successfully suppressed by the control effort n, and generate a control effort m to correct Dnrro. In one implementation, the compensator C may be a high order IIR (Infinite Impulse Response) filter. 
       FIG. 3  illustrates the architecture of a servo control system for a removable disc storage system with adaptation. The system shown in  FIG. 3  may adapt the RROC waveform in  FIG. 2  to increase the system&#39;s robustness against errors, e.g., errors in sector partition and various system variations. 
     In particular, the table  202  in  FIG. 2  may be replaced by the memory buffer, the element of which can be represented by a single variable z^−1  301  with an adaptation law. The adaptation law may be a runout adaptation feedback loop with a filter Q  303 , which runs much more slowly than the feedback loop with the compensator C  203 . The single variable z^−1 may correspond to an entry in the table pointed by the target disc sector. The variable z^−1 may be updated once per spindle revolution and the update may be pure accumulation. Similarly to the system shown in  FIG. 2 , z^−1 may provide a feed-forward control effort n to suppress Drro for the target disc sector when the head reaches the target disc sector. When the head reaches the target disc sector, the compensator C may receive an error signal e, which may include Dnrro, and provide a control effort m to suppress the Dnrro. 
     If the system does not have a runout adaptation feedback loop or the runout adaptation feedback loop can not achieve enough performance, Drro may show up in the error signal e. For example, when the feedback loop with the compensator C is just closed, the error signal e may include not only Dnrro, but also Drro. If the error signal e is contaminated with Drro, neither the control effort m for Dnrro nor the control effort n for Drro is reliable. Adaptation may be used to learn the true Drro and keep reducing the effect of Drro until the error signal e is free of Drro. 
     Since Dnrro is usually high frequency, and Drro is usually low frequency, a low pass filter L  302  may be used to pass only Drro to z^−1. In one implementation, the filter L may be a fourth order IIR filter with cut-off bandwidth of 2 Khz. Its exemplary frequency response is shown in  FIG. 4 , and its transfer function may be: 
     
       
         
           
             0.003036 
             
               1 
               - 
               
                 3.24 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 z 
               
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                 3.974 
                 ⁢ 
                 
                     
                 
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                 z 
               
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               2 
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                 2.187 
                 ⁢ 
                 
                     
                 
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                 z 
               
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               3 
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                 0.4557 
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                 z 
               
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               4 
             
           
         
       
     
     The filter L may also help to reduce aliasing caused by the gap between a high sampling rate in the feedback loop with the compensator C and a low update rate of the runout adaptation feedback loop. The feedback loop with the compensator C may be running at a high sampling rate, e.g., 88 KHz, 176 KHz or 352 KHz, and may be independent of the spindle speed. However, the update rate of the runout adaptation feedback loop with the filter Q may be much lower than the sampling rate, e.g., about 20 KHz for a 16×DVD. In addition, the update rate of the runout adaptation feedback loop may be determined by a spindle angular speed, since the RRO profile is learned and stored sector by sector, and the sector period may become shorter if the spindle rotates faster. 
     The filter Q may be an FIR (Finite Impulse Response) filter and may be used in the runout adaptation feedback loop to match the control effort n to Drro. In one implementation, Q=1, the value of z^−1 may be added to the output I from the filter L as a feed-back, and the control effort n may keep increasing until it can suppress Drro. When the control effort n can suppress Drro, the error signal e does not have Drro anymore, I=0, z^−1 and n may reach their ideal values and stay there until Drro appears in the error signal e again. 
     Thus, even though there may be some errors in the control effort n, the adaptation may still adapt to learn and compensate for Drro. As a result, the runout adaptation feedback loop may provide an accurate control effort n to suppress Drro, and the feedback compensator C may provide an accurate control effort m to eliminate the non-repeatable runout Dnrro, the system may achieve the maximum disturbance reduction, and its robustness against disturbances may be increased. 
       FIG. 5  illustrates an architecture for dual buffer based iterative RROC learning. 
     The adaptive RROC learning process described with reference to  FIG. 3  may be disrupted by various events during drive operation. In one implementation, to prevent bad RROC learning results from being stored and used in feed-forward control, the RROC learning may be allowed when the servo is in the track-following mode with good radial lock performance, and stopped when a seek operation or off-track condition happens. In one implementation, when an unexpected off-track condition happens, the bad RROC learning results may be replaced by a RROC profile obtained during a previous rotation. 
     As shown, the architecture for dual buffer based iterative RROC learning may maintain two memory buffers for the RROC profile: a learning buffer  501  which may be a temporary buffer used to hold real time RROC learning results; and a working buffer  502  which may be used to hold a mature RROC profile for actual servo control. 
     After a seek is finished (e.g., indicated by a timing lock or PSN decode), the track-following may start and the learning process may start at the same time. The learning process needs to use the working buffer  502  obtained during the previous rotation as the base for the RROC learning. Every FIQ (Fast Interrupt Request), the RROC profile may be output with the output pointer pointing to the target RROC element designated by an angle index K. The working buffer  502  may provide a feed-forward control effort n for the target sector K, while learning the RRO profile of the sector K during the current rotation. 
     In one implementation, when learning the RROC profile for the target sector, its neighboring sectors may be considered to tolerate adaptation mistakes, for example, mistakes in the spindle spin up or spin down process. In one implementation, the value of z^−1 for the previous sector K−1, the target sector K and the next sector K+1 may be sent to a Q filter  503 , and the Q filter  503  may use a weighted average of the control effort for the three sectors, with the weight for the target sector having the biggest value. In one implementation, the weights for the previous, target and next sector may be 0.25, 0.5 and 0.25 respectively, and the Q filter for the kth sector may be calculated as follows: 
                 Q   k     =           x     k   +   1       +     x     k   -   1         4     +       x   k     2         ,         
where X k  is the kth entry in the RROC profile.
 
     The output of the filter Q  503  may be combined with the signal I from the filter L  302  at  504  and the combination may become an update  505  of z^−1 of the target sector. The update of z^−1 may be stored in the learning buffer  501 , and the working buffer  502  may continue to the next disc sector K+1. The learning buffer  501  may hold the temporary RROC profile during the real time learning, but the temporary RROC profile may not be used for servo control. 
     When the learning is completed after the next complete spindle revolution, the temporary RROC profile in the learning buffer  501  may be promoted to the working buffer  502  as an updated RROC profile by, e.g., swapping pointers. The updated RROC profile may be used for real time servo control. Since the working buffer  502  is not updated until the next complete spindle revolution is finished, it might not contain bad RROC learning results. 
     During a high speed operation, track slips may happen during seek settle. Track detection algorithms might not detect slips immediately without any false detection, and there may be a detection delay to reduce the possibility of false detection. This detection delay may cause the RROC profile to be corrupted if a single-buffer adaptive RROC architecture is used. 
     With the dual buffer based iterative learning architecture of  FIG. 5 , once a track slip is detected during the RROC learning, the learning process may be stopped immediately. Since the track slip detection delay window is less than one revolution, the learning mistake due to the track slip detection delay may be saved in the learning buffer  501 , but might not be updated to the working buffer  502 . This approach provides robust protection for the RROC profile in the working buffer  502 . 
     Thus, the architecture shown in  FIG. 5  may update the RROC profile each spindle revolution, while learning may take place per disc sector within each spindle revolution. The learning process may be iterative per revolution. If the learning process is less than 1 revolution before it is disrupted by any off-track condition, the learned RROC profile cannot be moved to the working buffer  502  and cannot be used for servo control. 
     The control effort m may be contaminated with a DC signal  508  which may be shared by all elements in the RROC profile. If the DC signal is not removed, it may be saved in the memory buffers and affect accuracy of the servo control. In one implementation, the RROC profile and the associated DC signal may be learned at the same time and stored in the learning buffer  501 . Once a whole revolution is completed, the DC signal for the whole RROC profile may be calculated at  506 . When the RROC profile in the learning buffer  501  is promoted to the working buffer  502 , the DC signal may be removed at  507 . 
       FIG. 6  illustrates a flow chart of a method for reducing RRO. 
     At  601 , a removable disc may be divided into a number of sectors (in one implementation, 128 sectors) with the method shown in  FIGS. 1A and 1B . 
     At  602 , an RRO profile may be obtained for each sector of the disc when the servo system shown in  FIGS. 3 and 5  is in an open loop condition. 
     At  603 , an RROC profile may be shaped for each sector of the disc. 
     At  604 , an RROC profile for the whole revolution may be assembled from the sector RROC profiles, and saved in the working memory  502  for feed-forward control. 
     At  605 , the servo system shown in  FIGS. 3 and 5  may be closed. When the read/write head is moving toward the target disc sector, z^−1, an entry in the previously stored RROC profile table corresponding to the target disc sector, may provide a feed-forward control effort n to suppress Drro for the target disc sector. 
     At  606 , as soon as the read/write head reaches the target disc sector, the compensator C may provide a control effort m to reduce Dnrro for the target disc sector. 
     At  607 , the low pass filter L may pass Drro in the error signal e to z^−1 for adaptation. Adaptation may continue until z^−1 for the target disc sector reaches a stable value when the control effort n can suppress Drro, the error signal e does not have Drro contamination anymore and I becomes 0. The stable z^−1 may be saved in the memory  501  as an update of z^−1 for the target disc sector. 
     At  608 , it may be determined whether the head is moving to the next disc sector. If yes, the process may return to  605 . 
     Otherwise, at  609 , it may be determined whether a whole revolution has been completed. 
     If a whole revolution is completed, at  610 , the temporary RROC in the learning buffer  501  may be promoted to the working buffer  502 , and may be used in actual servo control. 
       FIG. 7  illustrates a removable disc storage servo system. As shown, a controller  701  may control a read or read/write head  702  to access data on a removable disc  703 , e.g., an optical disc, by performing the method shown in  FIG. 6 . The controller  701  may access the working buffer  502  for the RROC profile for actual servo control, and save a temporary RROC profile in the learning buffer  501 . The method of  FIG. 6  may be implemented by computer instructions and/or hardware and the controller  701  may include hardware or firmware for executing the instructions. 
     While at one point a DVD system was used as an example in the foregoing description, the implementations disclosed herein are not limited to an optical system. Other optical disc systems, including but not limited to CD-ROM and Blu-Ray™, and other removable disc systems may benefit from the servo techniques disclosed. 
     Several features and aspects have been illustrated and described in detail with reference to particular implementations by way of example only, and not by way of limitation. Alternative implementations and various modifications to the disclosed implementations are within the scope and contemplation of the present disclosure.
A method for reducing a disturbance associated with repeatable runout associated with a removable disc loaded into a storage system. The method includes, at the storage system: logically partitioning the removable disc into sectors; for each of the sectors, obtaining a corresponding profile of repeatable runout contained in the sector; and applying a runout control algorithm to each of the sectors to generate a repeatable runout control (RROC) waveform that is usable to suppress the repeatable runout in the sector as indicated by the profile corresponding to the sector. The method also includes, at the storage system: assembling each RROC waveform to generate a single RROC waveform that is useable to suppress repeatable runout as contained in an entire revolution of the removable disc; and storing, in a memory, the single RROC waveform.