A method for differentiator-based compression of digital data includes (a) multiplying a tap-weight vector by an original data vector to generate a predicted signal, the original data vector comprising N sequential samples of an original signal, N being an integer greater than or equal to one, (b) using a subtraction module, subtracting the predicted signal from a sample of the original signal to obtain an error signal, (c) using a quantization module, quantizing the error signal to obtain a quantized error signal, and (d) updating the tap-weight vector according to changing statistical properties of the original signal.

A method of integrated circuit includes: providing a non-volatile memory circuit for securely and permanently recording and protecting key data content having Y bits; providing a programmable memory circuit for storing user configuration data content having X bits greater than Y bits; converting the user configuration data content having X bits into user configuration key content having Y bits; comparing the user configuration key content having Y bits with the key data content having Y bits; selecting fallback configuration data content having X bits as output data when the user configuration key content does not match the key data content; selecting the user configuration data content having X bits as the output data when the user configuration key content matches the key data content; and receiving the output data of the decision circuit and performing at least one corresponding capability operation according to the output data.

A method for differentiator-based compression of digital data includes (a) multiplying a tap-weight vector by an original data vector to generate a predicted signal, the original data vector comprising N sequential samples of an original signal, N being an integer greater than or equal to one, (b) using a subtraction module, subtracting the predicted signal from a sample of the original signal to obtain an error signal, (c) using a quantization module, quantizing the error signal to obtain a quantized error signal, and (d) updating the tap-weight vector according to changing statistical properties of the original signal.

A method of integrated circuit includes: providing a non-volatile memory circuit for securely and permanently recording and protecting key data content having Y bits; providing a programmable memory circuit for storing user configuration data content having X bits greater than Y bits; converting the user configuration data content having X bits into user configuration key content having Y bits; comparing the user configuration key content having Y bits with the key data content having Y bits; selecting fallback configuration data content having X bits as output data when the user configuration key content does not match the key data content; selecting the user configuration data content having X bits as the output data when the user configuration key content matches the key data content; and receiving the output data of the decision circuit and performing at least one corresponding capability operation according to the output data.

A method for differentiator-based compression of digital data includes (a) using a subtraction module, subtracting a predicted signal from a sample of an original signal to obtain an error signal, (b) using a quantization module, quantizing the error signal to obtain a quantized error signal, and (c) generating the predicted signal using a least means square (LMS)-based filtering method.

A method includes, for an N-bit system on chip (SoC), calculating a minimum number of bits N.sub.P that can simultaneously switch without producing an error across a complete warranty time period of the N-bit SoC. The method also includes carrying out power estimation calculations for the N-bit SoC using the calculated minimum number of bits N.sub.P.

A method for differentiator-based compression of digital data includes (a) using a subtraction module, subtracting a predicted signal from a sample of an original signal to obtain an error signal, (b) using a quantization module, quantizing the error signal to obtain a quantized error signal, and (c) generating the predicted signal using a least means square (LMS)-based filtering method.

A method includes, for an N-bit system on chip (SoC), calculating a minimum number of bits N.sub.P that can simultaneously switch without producing an error across a complete warranty time period of the N-bit SoC. The method also includes carrying out power estimation calculations for the N-bit SoC using the calculated minimum number of bits N.sub.P.

An encoder includes data processing hardware operable to: process input data into a plurality of blocks/packets; apply a plurality of transformations to content of the blocks/packets to generate corresponding transformed data; check a quality of representation of the transformed data prior to application of the transformations to determine whether or not the quality of representation of the transformed data satisfies quality criteria; if the quality of representation does not satisfy the quality criteria, to divide and/or combine the one or more individual blocks or packets further and repeating the transformation step; and if the quality of representation of the transformed data satisfies the one or more quality criteria, to select coding methods and encode data representative of the input data to be encoded to provide encoded output data; and communicate in the encoded data information describing the plurality of transformations or combinations of transformations employed when coding the blocks/packets.

A method for data compression and transmission includes receiving sensor data which is digitized and transformed into a spectrogram. The spectrogram is filtered and converted into a binary representation. A Hough transform is used to find lines in the representation. Related lines are combined, and then converted back into time frequency space. Lines are optimized and composed into a binary message. The binary message can be transmitted and received at a remote location. A reconstructed spectrogram can be created at the remote location from the lines. In other embodiments, parameters such as power, stability, width, and wander can be calculated and transmitted. The reconstructed spectrogram can be displayed along with the parameters.