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Peter K. ♦
Peter K. ♦
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Why is phase range between $-pi\pi$ and pi$+\pi$ (instead of 0$0$ and 2*pi$2\pi$)?

I wonder why the phase range in DSP applications is between -pi$-\pi$ and pi$+\pi$. For example, why is that not between 0$0$ and 2*pi$2\pi$?

This question popped when I was reading about synchronization in digital communications. It

It said instead of Arg( Im(x) / Re(x) )$\arg( Im(x) / Re(x) )$ we can use just Im(x)$Im(x)$ because they are of the same sign because phase (here "x"$x$) is always between -pi$-\pi$ and pi $+\pi$ !!!

Thank you in advance! Regards, AGD

Why is phase range between -pi and pi (instead of 0 and 2*pi)?

I wonder why the phase range in DSP applications is between -pi and pi. For example, why is that not between 0 and 2*pi?

This question popped when I was reading about synchronization in digital communications. It said instead of Arg( Im(x) / Re(x) ) we can use just Im(x) because they are of the same sign because phase (here "x") is always between -pi and pi !!!

Thank you in advance! Regards, AGD

Why is phase range between $-\pi$ and $+\pi$ (instead of $0$ and $2\pi$)?

I wonder why the phase range in DSP applications is between $-\pi$ and $+\pi$. For example, why is that not between $0$ and $2\pi$?

This question popped when I was reading about synchronization in digital communications.

It said instead of $\arg( Im(x) / Re(x) )$ we can use just $Im(x)$ because they are of the same sign because phase (here $x$) is always between $-\pi$ and $+\pi$ !!!

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Ali
Ali
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  • 9

I wonder why the phase range in DSP applications is between -pi and pi. For example, why is that not between 0 and 2*pi?

This question popped up when I was reading about synchronization in digital communications. It said instead of Arg( Im(x) / Re(x) ) we can use just Im(x) because they are of the same sign because phase (here "x") is always between -pi and pi !!!

Thank you in advance! Regards, AGD

I wonder why the phase range in DSP applications is between -pi and pi. For example, why is that not between 0 and 2*pi?

This question popped up when I was reading about synchronization in digital communications. It said instead of Arg( Im(x) / Re(x) ) we can use just Im(x) because they are of the same sign because phase (here "x") is always between -pi and pi !!!

Thank you in advance! Regards, AGD

I wonder why the phase range in DSP applications is between -pi and pi. For example, why is that not between 0 and 2*pi?

This question popped when I was reading about synchronization in digital communications. It said instead of Arg( Im(x) / Re(x) ) we can use just Im(x) because they are of the same sign because phase (here "x") is always between -pi and pi !!!

Thank you in advance! Regards, AGD

Source Link
Ali
Ali
  • 95
  • 9

Why is phase range between -pi and pi (instead of 0 and 2*pi)?

I wonder why the phase range in DSP applications is between -pi and pi. For example, why is that not between 0 and 2*pi?

This question popped up when I was reading about synchronization in digital communications. It said instead of Arg( Im(x) / Re(x) ) we can use just Im(x) because they are of the same sign because phase (here "x") is always between -pi and pi !!!

Thank you in advance! Regards, AGD