Data storage device rewinding tape so as to reduce tape distortion

1. A data storage device configured to access a magnetic tape wound around a first reel and a second reel, the data storage device comprising:

at least one head configured to access the magnetic tape; and

control circuitry configured to:

measure a distortion of the magnetic tape;

modulate a target rewind tension based on an oscillating waveform; and

rewind the magnetic tape so that the first and second reels have a respective first radius and second radius of the wound magnetic tape based on the distortion.

2. The data storage device as recited in claim 1 , wherein after rewinding the magnetic tape:

the first radius ranges from a minimum radius when none of the magnetic tape remains on the first reel to a maximum radius when all of the magnetic tape remains on the first reel; and

the second radius ranges from a minimum radius when none of the magnetic tape remains on the second reel to a maximum radius when all of the magnetic tape remains on the second reel.

3. The data storage device as recited in claim 1 , wherein the control circuitry is further configured to:

maintain the target rewind tension;

prior to rewinding the magnetic tape, adjust the target rewind tension based on the modulated target rewind tension; and

rewind the magnetic tape based on the adjusted target rewind tension.

4. The data storage device as recited in claim 3 , wherein the target rewind tension during a first rewind is different than the target rewind tension during a second rewind.

5. The data storage device as recited in claim 1 , wherein the target rewind tension is modulated across a plurality of rewind operations.

6. The data storage device as recited in claim 1 , wherein the target rewind tension is modulated by adding an AC value to a DC offset representing an average rewind tension.

7. The data storage device as recited in claim 6 , wherein the control circuitry is further configured to generate the AC value based on the oscillating waveform, and the oscillating waveform is a sinusoidal function.

8. The data storage device as recited in claim 1 , wherein the control circuitry is further configured to modulate a first rewind tension of the magnetic tape based on the target rewind tension while rewinding the magnetic tape.

9. The data storage device as recited in claim 1 , wherein the control circuitry is further configured to:

maintain a first target radius of the first reel and a second target radius of the second reel;

prior to rewinding the magnetic tape, adjust the first target radius and the second target radius; and

rewind the magnetic tape so that the first and second reels have the adjusted first target radius and second target radius of the wound magnetic tape.

10. The data storage device as recited in claim 9 , wherein the first target radius and the second target radius are adjusted based on the distortion.

11. The data storage device as recited in claim 9 , wherein the first target radius and the second target radius are adjusted over time in order to spread the distortion of the magnetic tape over a length of the magnetic tape.

12. The data storage device as recited in claim 8 , wherein the first rewind tension is modulated by adding an AC value to a DC offset representing an average rewind tension.

13. The data storage device as recited in claim 12 , wherein the control circuitry is further configured to generate the AC value based on the oscillating waveform, and the oscillating waveform is a sinusoidal function.

14. The data storage device as recited in claim 13 , wherein the control circuitry is further configured to adjust at least one of the DC offset or the AC value across different rewind operations.

15. The data storage device as recited in claim 14 , wherein the control circuitry is configured to adjust the AC value by adjusting at least one of an amplitude of the AC value, a frequency of the AC value, or a phase of the AC value.

16. The data storage device as recited in claim 12 , wherein the control circuitry is further configured to adjust at least one of the DC offset or the AC value while rewinding the magnetic tape.

17. The data storage device as recited in claim 16 , wherein the control circuitry is configured to adjust the AC value by adjusting at least one of an amplitude of the AC value, a frequency of the AC value, or a phase of the AC value.

18. The data storage device as recited in claim 1 , wherein the control circuitry is further configured to:

maintain a distortion map of the magnetic tape representing a degree of distortion along predetermined segments of the magnetic tape; and

rewind the magnetic tape based on the distortion map.

19. The data storage device as recited in claim 1 , wherein the target rewind tension is modulated while rewinding the magnetic tape.

20. The data storage device as recited in claim 1 , wherein the oscillating waveform includes one or more of an amplitude, a frequency, or a phase.

21. The data storage device as recited in claim 1 , wherein the oscillating waveform is a sinusoidal function, a triangular function, or a sawtooth function.

22. The data storage device as recited in claim 1 , wherein the measuring of the distortion comprises determining a varying title angle of a head bar that comprises the at least one head.

23. A data storage device configured to access a magnetic tape wound around a first reel and a second reel, the data storage device comprising:

at least one head configured to access the magnetic tape; and

control circuitry configured to:

measure a distortion of the magnetic tape;

modulate a target rewind tension by adding an AC value to a DC offset representing an average rewind tension; and

rewind the magnetic tape so that the first and second reels have a respective first radius and second radius of the wound magnetic tape based on the distortion.

24. The data storage device as recited in claim 23 , wherein the control circuitry is further configured to generate the AC value based on a sinusoidal function.

25. A data storage device configured to access a magnetic tape wound around a first reel and a second reel, the data storage device comprising:

at least one head configured to access the magnetic tape; and

control circuitry configured to:

maintain a target rewind tension;

measure a distortion of the magnetic tape;

modulate the target rewind tension across a plurality of rewind operations by adding an AC value to a DC offset representing an average rewind tension;

adjust the target rewind tension; and

after the adjusting of the target rewind tension, rewind the magnetic tape based on the adjusted target rewind tension so that the first and second reels have a respective first radius and second radius of the wound magnetic tape based on the distortion,

wherein the target rewind tension during a first rewind is different than the target rewind tension during a second rewind.

26. The data storage device as recited in claim 25 , wherein the control circuitry is further configured to generate the AC value based on a sinusoidal function.