Precision measurement of waveforms
A machine-implemented method for computerized digital signal processing including obtaining a digital signal from data storage or from conversion of an analog signal, and determining, from the digital signal, one or more measuring matrices. Each measuring matrix has a plurality of cells, and each cell has an amplitude corresponding to the signal energy in a frequency bin for a time slice. Cells in each measuring matrix having maximum amplitudes along a time slice and/or frequency bin are identified as maximum cells. Maxima that coincide in time and frequency are identified and a correlated maxima matrix, called a “Precision Measuring Matrix” is constructed showing the coinciding maxima and the adjacent marked maxima are linked into partial chains.
1. A digital signal processing system, comprising:
a measurement engine configured to transform a digital representation of a waveform signal into a plurality of measurement matrices, each measurement matrix having a plurality of cells, each cell representing a corresponding time slice and frequency bin and having an amplitude corresponding to a signal energy for that frequency bin and time slice;
a marking engine configured to identify and mark one or more maximum cells in each measurement matrix; and
a comparing engine configured to identify, as correlated maxima cells, maximum cells across the plurality of measurement matrices that coincide in at least one of time and frequency, and to build a precision measuring matrix that marks the correlated maxima cells.
2. The digital signal processing system of claim 1 , wherein the measurement engine is further configured to transform the digital representation by applying, to the digital representation, one or more of: a digital Fourier Transform, a discrete wavelet transform, a finite impulse response filter, or an infinite impulse response filter.
3. The digital signal processing system of claim 1 , wherein the comparing engine is further configured to identify, as correlated maxima cells, maximum cells across the plurality of measurement matrices that coincide in both time and frequency.
4. The digital signal processing system of claim 1 , wherein the comparing engine is further configured to link the correlated maxima cells as partial chains.
5. The digital signal processing system of claim 1 , further comprising:
an analog receiving device configured to capture an analog waveform signal; and
an analog-to-digital (A/D) converter configured to convert the captured analog waveform signal into the digital representation of the waveform signal.
6. The digital signal processing system of claim 1 , further comprising:
a data storage device configured to store the digital representation of the waveform signal.
7. The digital signal processing system of claim 1 , wherein the waveform signal is an audio waveform signal.
8. The digital signal processing system of claim 1 , wherein the waveform signal is an image or video signal.
9. The digital signal processing system of claim 1 , further comprising an output device configured to output the precision measuring matrix.
10. The digital signal processing system of claim 9 , wherein the output device is a visualization device configured to display a visualization of the precision measuring matrix.
11. The digital signal processing system of claim 1 , wherein the one or more maximum cells in each measurement matrix are simple maximum cells based on their having a local maximum amplitude.
12. The digital signal processing system of claim 1 , wherein the one or more maximum cells in each measurement matrix are time peak simple maximum cells.
13. The digital signal processing system of claim 1 , wherein the one or more maximum cells in each measurement matrix are frequency peak simple maximum cells.
14. The digital signal processing system of claim 1 , wherein each of the plurality of measurement matrices has a different dimension.
15. The digital signal processing system of claim 1 , wherein at least two of the plurality of measurement matrices have a same dimension but were transformed using different transformation techniques.
16. The digital signal processing system of claim 1 , wherein the waveform signal is a compound waveform signal.
17. A digital signal processing system, comprising:
a receiver that receives a digital representation of a waveform signal;
a processing unit that transforms a digital representation of a waveform signal into a plurality of measurement matrices, each measurement matrix having a plurality of cells, each cell representing a corresponding time slice and frequency bin and having an amplitude corresponding to a signal energy for that frequency bin and time slice;
an analyzer that identifies and marks one or more maximum cells in each measurement matrix;
a comparator that identifies, as correlated maxima cells, maximum cells across the plurality of measurement matrices that coincide in time and frequency, and builds a precision measuring matrix that marks the correlated maxima cells; and
a transmitter that transmits the precision measuring matrix to an output device or a storage device.
18. The digital signal processing system of claim 17 , wherein:
the receiver is an analog receiver that receives an analog version of the waveform signal, and
the digital processing system further comprises an analog-to-digital converter that converts the analog version of the waveform signal into the digital representation of the waveform signal.
19. The digital signal processing system of claim 17 , wherein the transmitter transmits a visual representation of the precision measuring matrix to an output device.
20. The digital signal processing system of claim 19 , wherein the output device is a display device.
21. The digital signal processing system of claim 17 , wherein the processing unit transforms the digital representation by applying, to the digital representation, one or more of: a digital Fourier Transform, a discrete wavelet transform, a finite impulse response filter, or an infinite impulse response filter.
22. The digital signal processing system of claim 17 , wherein the comparator identifies, as correlated maxima cells, maximum cells across the plurality of measurement matrices that coincide in both time and frequency.
23. The digital signal processing system of claim 17 , wherein the comparator links the correlated maxima cells a partial chains.
24. The digital signal processing system of claim 17 , wherein the waveform signal is an audio waveform signal.
25. The digital signal processing system of claim 17 , wherein the waveform signal is an image or video signal.
26. The digital signal processing system of claim 17 , wherein the one or more maximum cells in each measuring matrix are simple maximum cells based on their having a local maximum amplitude.
27. The digital signal processing system of claim 17 , wherein the one or more maximum cells in each measurement matrix are time peak simple maximum cells.
28. The digital signal processing system of claim 17 , wherein the one or more maximum cells in each measurement matrix are frequency peak simple maximum cells.
29. The digital signal processing system of claim 17 , wherein each of the plurality of measurement matrices has a different dimension.
30. The digital signal processing system of claim 17 , wherein at least two of the plurality of measurement matrices have a same dimension but were transformed using different transformation techniques.
31. The digital signal processing system of claim 17 , wherein the waveform signal is a compound waveform signal.