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Phase of a real number
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Phase of a real number
The Next CEO of Stack OverflowWhat is the difference between phase delay and group delay?How do you relate imaginary numbers with phase shift? How to imagine this?Phase factors for an 32 point fftbaffled by fft phase spectrum!How are phase values able to capture motion from video?In filter design, why isn't it possible to have a frequency response with phase 0?Extracting accurate phase and amplitude information from FFT with an arbitrary number of samplesContinuous phase for phase delay calculus in FIR filtersPhase spectrum of 2D real functionPlotting the Phase Response
$begingroup$
Could someone please explain in what case the phase of a real number is equal to -pi (and not pi)?
I know that for positive numbers, the phase is zero. For zero, we define the phase as zero as well. And for negative numbers, the phase would be pi. But I was reading some script and there it says the phase of a real number is either 0, pi, or -pi.
phase
asked 5 hours ago
NioushaNiousha
1596
$endgroup$
add a comment |
$begingroup$
Could someone please explain in what case the phase of a real number is equal to -pi (and not pi)?
I know that for positive numbers, the phase is zero. For zero, we define the phase as zero as well. And for negative numbers, the phase would be pi. But I was reading some script and there it says the phase of a real number is either 0, pi, or -pi.
phase
asked 5 hours ago
NioushaNiousha
1596
$endgroup$
$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago
add a comment |
$begingroup$
Could someone please explain in what case the phase of a real number is equal to -pi (and not pi)?
I know that for positive numbers, the phase is zero. For zero, we define the phase as zero as well. And for negative numbers, the phase would be pi. But I was reading some script and there it says the phase of a real number is either 0, pi, or -pi.
phase
asked 5 hours ago
NioushaNiousha
1596
$endgroup$
Could someone please explain in what case the phase of a real number is equal to -pi (and not pi)?
I know that for positive numbers, the phase is zero. For zero, we define the phase as zero as well. And for negative numbers, the phase would be pi. But I was reading some script and there it says the phase of a real number is either 0, pi, or -pi.
phase
phase
asked 5 hours ago
NioushaNiousha
1596
asked 5 hours ago
NioushaNiousha
1596
asked 5 hours ago
NioushaNiousha
1596
asked 5 hours ago
NioushaNiousha
1596
asked 5 hours ago
NioushaNiousha
1596
1596
$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago
add a comment |
$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago
$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago
$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Or $2pi$, or $3pi$, or any integer multiple of $pi$. Any odd multiple corresponds to -1 + 0i and any even multiple corresponds to 1 + 0i, aka -1 and 1.
"Phase of a real number" is a little bit of a misleading label. What is required here is an understanding of the complex plane and what "phase" means in terms of a DFT bin value.
Your question is equivalent to "For what values of arg(z) is z a real number?"
If that is meaningless to you, I suggest you start by reading two blog articles of mine:
The Exponential Nature of the Complex Unit Circle
And the newest:
Angle Addition Formulas from Euler's Formula
There are of course many other searches. Your terms should be "complex plane real values" for a start.
This is essential foundation material for a lot of DSP concepts.
edited 4 hours ago
MBaz
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
$endgroup$
add a comment |
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1 Answer
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active
oldest
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1 Answer
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active
oldest
votes
active
oldest
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active
oldest
votes
$begingroup$
Or $2pi$, or $3pi$, or any integer multiple of $pi$. Any odd multiple corresponds to -1 + 0i and any even multiple corresponds to 1 + 0i, aka -1 and 1.
"Phase of a real number" is a little bit of a misleading label. What is required here is an understanding of the complex plane and what "phase" means in terms of a DFT bin value.
Your question is equivalent to "For what values of arg(z) is z a real number?"
If that is meaningless to you, I suggest you start by reading two blog articles of mine:
The Exponential Nature of the Complex Unit Circle
And the newest:
Angle Addition Formulas from Euler's Formula
There are of course many other searches. Your terms should be "complex plane real values" for a start.
This is essential foundation material for a lot of DSP concepts.
edited 4 hours ago
MBaz
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
$endgroup$
add a comment |
$begingroup$
Or $2pi$, or $3pi$, or any integer multiple of $pi$. Any odd multiple corresponds to -1 + 0i and any even multiple corresponds to 1 + 0i, aka -1 and 1.
"Phase of a real number" is a little bit of a misleading label. What is required here is an understanding of the complex plane and what "phase" means in terms of a DFT bin value.
Your question is equivalent to "For what values of arg(z) is z a real number?"
If that is meaningless to you, I suggest you start by reading two blog articles of mine:
The Exponential Nature of the Complex Unit Circle
And the newest:
Angle Addition Formulas from Euler's Formula
There are of course many other searches. Your terms should be "complex plane real values" for a start.
This is essential foundation material for a lot of DSP concepts.
edited 4 hours ago
MBaz
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
$endgroup$
add a comment |
$begingroup$
Or $2pi$, or $3pi$, or any integer multiple of $pi$. Any odd multiple corresponds to -1 + 0i and any even multiple corresponds to 1 + 0i, aka -1 and 1.
"Phase of a real number" is a little bit of a misleading label. What is required here is an understanding of the complex plane and what "phase" means in terms of a DFT bin value.
Your question is equivalent to "For what values of arg(z) is z a real number?"
If that is meaningless to you, I suggest you start by reading two blog articles of mine:
The Exponential Nature of the Complex Unit Circle
And the newest:
Angle Addition Formulas from Euler's Formula
There are of course many other searches. Your terms should be "complex plane real values" for a start.
This is essential foundation material for a lot of DSP concepts.
edited 4 hours ago
MBaz
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
$endgroup$
Or $2pi$, or $3pi$, or any integer multiple of $pi$. Any odd multiple corresponds to -1 + 0i and any even multiple corresponds to 1 + 0i, aka -1 and 1.
"Phase of a real number" is a little bit of a misleading label. What is required here is an understanding of the complex plane and what "phase" means in terms of a DFT bin value.
Your question is equivalent to "For what values of arg(z) is z a real number?"
If that is meaningless to you, I suggest you start by reading two blog articles of mine:
The Exponential Nature of the Complex Unit Circle
And the newest:
Angle Addition Formulas from Euler's Formula
There are of course many other searches. Your terms should be "complex plane real values" for a start.
This is essential foundation material for a lot of DSP concepts.
edited 4 hours ago
MBaz
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
edited 4 hours ago
MBaz
9,01041733
edited 4 hours ago
MBaz
9,01041733
edited 4 hours ago
MBaz
9,01041733
9,01041733
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
answered 4 hours ago
Cedron DawgCedron Dawg
3,0632312
3,0632312
add a comment |
add a comment |
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$begingroup$
do you know about phase unwrapping?
$endgroup$
– robert bristow-johnson
5 hours ago