Target parameter adaptation

1. An apparatus comprising:

a magnetic disc storage medium;

a read head configured to read data from the magnetic disc storage medium to generate an input signal;

an ADC circuit coupled to the read head, the ADC circuit configured to generate a plurality of samples of a digitized sample sequence based on the input signal from the read head; and

a circuit including a filter configured to:

update one or more adaptive coefficients of the filter based on an error signal, the error signal based on the plurality of samples of the digitized sample sequence;

update a constrained coefficient of the filter based on the one or more adaptive coefficients, the constrained coefficient and a desired value; and

generate a sample of a sample sequence based on the one or more adaptive coefficients and the updated constrained coefficient, the error signal being further based on the sample sequence.

2. The apparatus of claim 1 , further comprising the circuit further configured to:

generate an equalized sample sequence by equalizing the plurality of samples of the digitized sample sequence based on one or more equalizer parameters, the equalized sample sequence including a plurality of equalized samples.

3. The apparatus of claim 2 , further comprising the circuit further configured to:

generate an output signal based on the equalized sample sequence, the one or more adaptive coefficients and the updated constrained coefficient; and

perform generation of the sample of the sample sequence based on one of a known value corresponding to the output signal and an estimated value corresponding to the output signal.

4. The apparatus of claim 2 , further comprising the circuit further configured to:

generate the error signal based on the plurality of samples of the digitized sample sequence and the sample sequence by generating the error signal based on a difference between the equalized sample sequence and the sample sequence.

5. The apparatus of claim 1 , further comprising the circuit further configured to:

perform an update of another constrained coefficient of an equalizer of a read channel based on a difference between:

a summation of absolute values of values of the one or more adaptive coefficients and the constrained coefficient; and

the desired value.

6. The apparatus of claim 1 further comprising the circuit further configured to:

perform the update of the constrained coefficient based on the one or more adaptive coefficients, the constrained coefficient and the desired value based on a difference between:

a summation of absolute values of the values of the one or more adaptive coefficients and the constrained coefficient; and

the desired value.

7. The apparatus of claim 1 , further comprising the one or more adaptive coefficients and the constrained coefficient being coefficients of a target polynomial of a finite impulse response filter.

8. The apparatus of claim 1 , further comprising the circuit configured to perform the update of the adaptive coefficients using a minimum mean square error criteria.

9. The apparatus of claim 1 , further comprising the circuit configured to perform the update of the constrained coefficient using gradient descent□.

10. A system comprising:

a magnetic disc storage medium;

a read head configured to read data from the magnetic disc storage medium to generate an input signal;

an ADC circuit coupled to the read head, the ADC circuit configured to generate a plurality of samples of a digitized sample sequence based on the input signal from the read head; and

a filter circuit configured to:

update one or more adaptive coefficients of the filter circuit based on an error signal, the error signal based on the plurality of samples of the digitized sample sequence;

update a constrained coefficient of the filter based on the one or more adaptive coefficients, the constrained coefficient and a desired value; and

generate a sample of a sample sequence based on the one or more adaptive coefficients and the updated constrained coefficient, the error signal being further based on the sample sequence.

11. The system of claim 10 further comprising:

an equalizer circuit configured to generate an equalized sample sequence by equalizing the plurality of samples of the digitized sample sequence based on one or more equalizer parameters, the equalized sample sequence including a plurality of equalized samples.

12. The system of claim 11 further comprising:

a detector circuit configured to generate an output signal based on the equalized sample sequence and the one or more adaptive coefficients and the updated constrained coefficient; and

the filter circuit configured to perform generation of the sample of the sample sequence based on one of a known value corresponding to the output signal and an estimated value corresponding to the output signal.

13. The system of claim 11 further comprising,

an adder circuit of the filter circuit configured to generate the error signal based on the plurality of samples of the digitized sample sequence and the sample sequence by generating the error signal based on a difference between the equalized sample sequence and the sample sequence.

14. The system of claim 11 further comprising the circuit further configured to:

perform an update of another constrained coefficient of an equalizer of a read channel based on a difference between:

a summation of absolute values of the values of the one or more adaptive coefficients and the constrained coefficient; and

the desired value.

15. The system of claim 10 further comprising the circuit configured to perform the update of the constrained coefficient based on the one or more adaptive coefficients, the constrained coefficient and the desired value based on a difference between:

a summation of absolute values of the values of the one or more adaptive coefficients and the constrained coefficient; and

the desired value.

16. The system of claim 10 further comprising the one or more adaptive coefficients and the constrained coefficient being coefficients of a target polynomial of a finite impulse response filter.

17. A method comprising:

reading, by a read head, read data from a magnetic disc storage medium to generate an input signal;

generating, by an ADC circuit coupled to the read head, a plurality of samples of a digitized sample sequence based on the input signal from the read head;

updating one or more adaptive parameters of a filter based on an error signal, the error signal based on the plurality of samples of the digitized sample sequence;

updating a constrained parameter of the filter based on the one or more adaptive parameters, the constrained parameter and a desired value; and

generating a sample of a sample sequence based on the one or more adaptive parameters and the updated constrained parameter, the error signal being further based on the sample sequence.

18. The method of claim 17 further comprising:

generating an equalized sample sequence by equalizing the plurality of samples of the digitized sample sequence based on one or more equalizer parameters, the equalized sample sequence including a plurality of equalized samples;

generating an output signal based on the equalized sample sequence, the one or more adaptive parameters and the updated constrained parameter; and

generating the error signal based on the plurality of samples of the digitized sample sequence and the sample sequence by generating the error signal based on a difference between the equalized sample sequence and the sample sequence.

19. The method of claim 18 further comprising:

performing the updating of the constrained parameter based on the one or more adaptive parameters, the constrained parameter and the desired value based on a difference between:

a summation of absolute values of the values of the one or more adaptive parameters and the constrained parameter; and

the desired value.

20. The method of claim 17 further comprising the one or more adaptive parameters and the constrained parameter being coefficients of a target polynomial of a finite impulse response filter.