Abstract: A method for detection of an orthogonal frequency division multiplex (OFDM) packet preamble is described. The method includes quantizing a real part and an imaginary part of each complex template value to a template index value, determining a plurality of non-zero template index values based on the quantization, receiving a signal including a plurality of samples, performing a plurality of first sums, where each first sum sums a sample subset of plurality of sample subsets, and assigning the plurality of non-zero template index values to the plurality of first sums. The method further includes performing a transposition of each first sum using the assigned non-zero template index value, performing a second sum, where the second sum is a complex weighted sum of the transposition of each first sum, and determining that the received signal comprises the OFDM packet preamble based on the complex weighed sum.

Abstract: A method for detection of an orthogonal frequency division multiplex (OFDM) packet preamble is described. The method includes quantizing a real part and an imaginary part of each complex template value to a template index value, determining a plurality of non-zero template index values based on the quantization, receiving a signal including a plurality of samples, performing a plurality of first sums, where each first sum sums a sample subset of plurality of sample subsets, and assigning the plurality of non-zero template index values to the plurality of first sums. The method further includes performing a transposition of each first sum using the assigned non-zero template index value, performing a second sum, where the second sum is a complex weighted sum of the transposition of each first sum, and determining that the received signal comprises the OFDM packet preamble based on the complex weighed sum.

Abstract: A method for detection of an orthogonal frequency division multiplex (OFDM) packet preamble is described. The method includes quantizing a real part and an imaginary part of each complex template value to a template index value, determining a plurality of non-zero template index values based on the quantization, receiving a signal including a plurality of samples, performing a plurality of first sums, where each first sum sums a sample subset of plurality of sample subsets, and assigning the plurality of non-zero template index values to the plurality of first sums. The method further includes performing a transposition of each first sum using the assigned non-zero template index value, performing a second sum, where the second sum is a complex weighted sum of the transposition of each first sum, and determining that the received signal comprises the OFDM packet preamble based on the complex weighed sum.

Abstract: A method unlocks a portable electronic device using a stylus. A user can remove the stylus received in a receiving space of the portable electronic device to unlock the portable electronic device. In an unlocking procedure, a detection circuit detects whether the stylus has been removed from the portable electronic device and outputs a corresponding logic value of the portable electronic device. If the logic value of the detection circuit has changed from “0” to “1”, the locked portable electronic device is unlocked.

Abstract: A method unlocks a portable electronic device using a stylus. A user can remove the stylus received in a receiving space of the portable electronic device to unlock the portable electronic device. In an unlocking procedure, a detection circuit detects whether the stylus has been removed from the portable electronic device and outputs a corresponding logic value of the portable electronic device. If the logic value of the detection circuit has changed from “0” to “1”, the locked portable electronic device is unlocked.