The Nature of Circles
What do you mean?When calculating the mean of a list of numbers, the obvious approach is to sum them and divide by how many there are.
Suppose I give you a list of two numbers:
- 0
- 359
What is their mean? The obvious answer is 179.5.
If I told you that the numbers were compass bearings in degrees, what would your answer be then? Does 179.5 seem correct?
In the case of compass bearings, 0 is the same direction as 360. When talking about angles in the DSP world, we often talk about...
Correlation without pre-whitening is often misleading
White LiesCorrelation, as one of the first tools DSP users add to their tool box, can automate locating a known signal within a second (usually larger) signal. The expected result of a correlation is a nice sharp peak at the location of the known signal and few, if any, extraneous peaks.
A little thought will show this to be incorrect: correlating a signal with itself is only guaranteed to give a sharp peak if the signal's samples are uncorrelated --- for example if the signal is composed...
Correlation without pre-whitening is often misleading
White LiesCorrelation, as one of the first tools DSP users add to their tool box, can automate locating a known signal within a second (usually larger) signal. The expected result of a correlation is a nice sharp peak at the location of the known signal and few, if any, extraneous peaks.
A little thought will show this to be incorrect: correlating a signal with itself is only guaranteed to give a sharp peak if the signal's samples are uncorrelated --- for example if the signal is composed...
The Nature of Circles
What do you mean?When calculating the mean of a list of numbers, the obvious approach is to sum them and divide by how many there are.
Suppose I give you a list of two numbers:
- 0
- 359
What is their mean? The obvious answer is 179.5.
If I told you that the numbers were compass bearings in degrees, what would your answer be then? Does 179.5 seem correct?
In the case of compass bearings, 0 is the same direction as 360. When talking about angles in the DSP world, we often talk about...
Correlation without pre-whitening is often misleading
White LiesCorrelation, as one of the first tools DSP users add to their tool box, can automate locating a known signal within a second (usually larger) signal. The expected result of a correlation is a nice sharp peak at the location of the known signal and few, if any, extraneous peaks.
A little thought will show this to be incorrect: correlating a signal with itself is only guaranteed to give a sharp peak if the signal's samples are uncorrelated --- for example if the signal is composed...
The Nature of Circles
What do you mean?When calculating the mean of a list of numbers, the obvious approach is to sum them and divide by how many there are.
Suppose I give you a list of two numbers:
- 0
- 359
What is their mean? The obvious answer is 179.5.
If I told you that the numbers were compass bearings in degrees, what would your answer be then? Does 179.5 seem correct?
In the case of compass bearings, 0 is the same direction as 360. When talking about angles in the DSP world, we often talk about...